3y = -8x -27
Solution :
A line equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system. The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.
Given line: 3x - 8y = -7
-8y = -7 -3x
y=- (-7 -3x)/8
y= 7+3x/8
So, the slope (m1) = 3/8
Let’s consider the slope of the line perpendicular to the given line as m2
Then, m1 x m2 = -1
3/8 x m2 = -1
m2 = -8/3
Now,
The equation of the line perpendicular to the given line and passing through the point (-3, -3) will be
y – y1 = m (x – x1)
y – (-3) = -(8/3) (x – (-3))
y + 3 = (-8/3) (x +3)
3y + 3 = - 8x - 24
3y = -8x -24-3
3y = -8x -27
Thus, the equation of the required line is 3y = -8x -27
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Draw the Venn diagram showing the inclusion relation among the different Sets of numbers.
Answewhats the number mason
Step-by-step explanation:
Triangle CDE, with vertices C(-4,2), D(-3,7), and E(-7,6), is drawn inside a rectangle,
as shown below.what is the area in square units of triangle CDE?
Area of triangle ΔCDE with the vertices C( -4 , 2 ), D( -3 , 7 ), and E( -7 , 6 ) is 9.5 square units.
We have a triangle ΔCDE with the vertices C( -4 , 2 ), D( -3 , 7 ), and E( -7 , 6 ). To calculate the area of triangle when its vertices are given we have the formula as shown below,
Area of triangle ΔCDE = [tex](1/2)(x_{1} (y_{2} - y_{3} ) + x_{2} (y_{3} -y_{1} ) + x_{3} (y_{1} -y_{2} ))[/tex]
Here, [tex]x_{1}[/tex] = -4 , [tex]x_{2}[/tex] = -3 ,[tex]x_{3}[/tex] = -7 , [tex]y_{1}[/tex] = 2 , [tex]y_{2}[/tex] = 7 and [tex]y_{3}[/tex] = 6
On substituting the above values in the formula of area of triangle , we will get
Area of triangle ΔCDE = (1/2)( -4 ( 7 - 6 ) + ( -3 ) ( 6 - 2) + (-7 ) ( 2 - 7 ))
Area of triangle ΔCDE = (1/2) ( - 4 - 12 + 35 )
Area of triangle ΔCDE = 19/2
Area of triangle ΔCDE = 9.5 square units
Area of triangle ΔCDE with the vertices C( -4 , 2 ), D( -3 , 7 ), and E( -7 , 6 ) is 9.5 square units.
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8 times the sum of a number and 26 is less than 304.
Answer:
x < 12
Step-by-step explanation:
So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:
8(x+26) < 304
Lets start to solve for x by dividing by 8, giving us:
x+26 < 38
Now lets isolate x by subtracting 26 from both sides, which gives us our answer:
x < 12
So x is less than 12.
Hope this helps!
Are the raitos 10:16 and 5:8 equivalent
Answer:
Yes, they are equivalent, because one is just a reduced version of the other. Since they are equally balanced when reduced, they are equivalent ratios.
Answer:
Yes, It is equivalent.
Step-by-step explanation:
To convert [tex]\frac{10}{16}[/tex] , so the denominator is 16, multiply the numerator and denominator by 1.
[tex]\frac{5*2}{8*2}[/tex] vs [tex]\frac{10*1}{16*1}[/tex]
Now we have two fractions with the same denominator, so we can easily compare the numerators to determine if they are equal;
[tex]\frac{10}{16}[/tex] vs [tex]\frac{10}{16}[/tex]
As you can see, the numerators colored in black above are the same. Therefore, the answer to "Is 5/8 equal to 10/16?" is yes!
[tex]\frac{5}{8} = \frac{10}{16}[/tex]
In 2011 the marathon had 29967 men and 16,928 Women how many Men T Shirts and how many women t shirts were given
The number of men T Shirts and how many women t shirts that were given to the nearest thousand will be 30000 and 17000 respectively.
How to illustrate the information?It should be noted that based on the information illustrated, the marathon had 29967 men and 16,928 Women.
Therefore, the number of men T Shirts and how many women t shirts that were given to the nearest thousand will be:
29867 = 30000
16982 = 17000
Therefore, the number of men T Shirts and how many women t shirts that were given to the nearest thousand will be 30000 and 17000 respectively.
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In 2011 the marathon had 29967 men and 16,928 Women how many Men T Shirts and how many women t shirts were given to the nearest thousand.
The current plans describe a fountain 9 feet in diameter. Around the sides of the fountain, the contractors will install a chain barrier to prevent children from falling into the fountain. How much area in the park will the designers need to set aside for the fountain? How much chain will the contractors need to install? Round your answers to the nearest hundredth of a square foot or foot. Type the correct answer in the box. Use numerals instead of words.
hundred people bearajsbsj
Answer:
I don't know about this question
In each of the following, tell what computation must be done last.
a. 5×6-3x4 +2
b. 19-3x4+9÷3
c. 15-6÷2x4
d. 5+(8-2)3
A ball is dropped from a state of rest at time t=0.
The distance traveled after t seconds is s(t)=16t2 ft.
(a) How far does the ball travel during the time interval [6,6.5]?
Δs= ___ft
(b) Compute the average velocity over [6,6.5].
ΔsΔt= ___ ft/sec
(c) Compute the average velocity over time intervals [6, 6.01] , [6, 6.001] , [6, 6.0001] , [5.9999, 6] , [5.999, 6] , [5.99, 6] .
Use this to estimate the object's instantaneous velocity at t=6.
V(6)=____ ft/sec
The distance traveled by the ball as a function of time, s(t) = 16•t² ft., and the rate of change, based on calculus, gives;
(a) During the time interval [6, 6.5], the distance traveled is 100 feet
(b) In the interval, [6, 6.5], the average velocity is 200 ft/s
(c) The calculated average velocities in ft/s, for the respective time intervals are;
[6, 6.01]. 192.16
[6, 6.001]. 192.016
[6, 6.0001]. 192.0016
[5.9999, 6]. 191.9984
[5.999, 6]. 191.984
[5.99, 6]. 191.84
The instantaneous velocity at t = 6 is v(6) = 192 ft/s
What are the average and instantaneous velocities of the ball?The distance traveled as a function of time is s(t) = 16•t² ft.
(a) The distance traveled during the time interval [6, 6.5] is found as follows;
s(6) = 16 × 6² = 576
s(6.5) = 16 × 6.5² = 676
The distance traveled in the interval, [6, 6.5], ∆s(t) = 676 - 576 = 100
The distance traveled during the time interval [6, 6.5] = 100 feet
(b) Average velocity = ∆s(t)/∆t
∆t = 6.5 - 6 = 0.5
Therefore;
∆s(t)/∆t = 100/0.5 = 200
The average velocity = 200 ft./s
(c) The average velocities over the given time intervals, obtained using a graphing calculator, are;
Interval. Average velocity
[6, 6.01]. 192.16
[6, 6.001]. 192.016
[6, 6.0001]. 192.0016
[5.9999, 6]. 191.9984
[5.999, 6]. 191.984
[5.99, 6]. 191.84
Given that at t = 6, as the time interval approaches zero from the right and from the left, the average velocity approaches 192 ft./s, the instantaneous velocity at t = 6, v(6) is 192 ft./s
v(6) = 192 ft./s
Using calculus, differentiation, we have;
v(t) = ds/dt = 2×16 × t = 32•t
v(6) = 32 × 6 = 192
Therefore;
v(6) = 192 ft./s
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A circle has an area of 36 * pi square inches. Find the radius
Answer:
36
Step-by-step explanation:
BECAUSE U MULTIPLY THEN DIVIDE
Answer:
radius = 3.385 inches
Step-by-step explanation:
[tex]a=\pi r^{2}[/tex]
[tex]r^{2} =\frac{a}{\pi }[/tex]
[tex]r=\sqrt{\frac{a}{\pi } } =\sqrt{\frac{36}{\pi } } =3.385[/tex]
Hope this helps
A person has a bag containing quarters and dimes. There are a total of 51 coins in the bag, and the total value of the coins is $11.10.
Answer:
you would need 40 quarters and 11 nickels
PLEASE MARK AS BRAINLIEST
Step-by-step explanation:
.25x40=$10
.10x11=$1.10
$10+$1.10=$11.10
A shirt normally costs $22.50 and is on sale for 12% off. What is the sale price?
Answer:
$19.8($2.7 subtracted off)
Step-by-step explanation:
[tex]P = 22.5(1 - 12\%)\\P = 22.5(1 - 0.12)\\P = 22.5(0.88)\\P = 19.8[/tex]
Clark made 4 of his truck
5
late payments and was fined
4 late fees. The total change to
his savings from late fees was
-$48.32. How much was one late
fee?
Answer:
12.00
Step-by-step explanation:
you need to get the division down first then it will become super easy once you have that
Explain how to use place-value blocks to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85. Then find the difference.
Place-value blocks can be used to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85 by converting them to the nearest ten. The difference will be $0.50.
What are place value blocks?It should be noted that base ten blocks are used to represent numbers as a base ten model. It should be noted that they are useful because they show the value of each digit in a number and make it easier to visualize the size of a number.
In this case place value blocks mimic the base ten number system by representing the ones, tens, hundreds, and thousands places
Therefore, place-value blocks can be used to find the difference between the monthly cost of using the DVD player, $0.40, and the dishwasher, $0.85 by converting them to the nearest ten. The difference will be $0.50.
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what is 1150in hectares and in m2
Answer:
The answer is 11500000 Square Meters
Answer:
11,500,000
Step-by-step explanation:
To convert 1150 hectares to square meters, we need to multiply it by 10,000. Therefore, 1150 hectares is equal to 11,500,000 square meters. It is important to note that one hectare is equal to 10,000 square meters. So, 1150 hectares is equivalent to 11,500,000 square meters or 11,500,000 square meters. This conversion is useful when measuring large areas of land, such as agricultural fields, forests, and parks.
Arithmetic Mean of 128,144,146,143,136,142,138,120,140,152,144,140,150,142,154
Answer: 141.26666666667
Step-by-step explanation:
Sasha did an experiment to study the solubility of two substances. She poured 100 mL of water at 20 °C into each of two beakers labeled A and B. She put 50 g of Substance A in the beaker labeled A and 50 g of Substance B in the beaker labeled B. The solution in both beakers was stirred for 1 minute. The amount of substance left undissolved in the beakers was weighed. The experiment was repeated for different temperatures of water and the observations were recorded as shown. Experimental Observations Substance Mass of Undissolved Substance at Different Temperatures (gram) 20 °C 40 °C 60 °C 80 °C A 12 11 9 8 B 45 40 34 31 Part 1: Which substance has a higher solubility? Part 2: Explain your answer for Part 1.
In the experiment, the solubility of B is high than the solubility of A.
This is because the mass of undissolved substance of substance A is more than Substance B at every temperature.
What is solubility?The amount of a substance that dissolves in a specific amount of solvent is known as its solubility. Higher solubility results from more solute dissolution, while lower solubility results from less solute dissolution.
Regarding the observations made, at any temperature, the mass of the undissolved material of substance A is greater than that of substance B. This suggests that less solute dissolves in the amount of solvent provided.
Therefore, because of this, substance B is more soluble than substance A.
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Find the coordinates of the vertices of the figure after the given transformation.
translation: (x, y)→(x + 1, y - 1)
Responses
A N'(0, -2), F'(4, 2), Q'(4, -2)N'(0, -2), F'(4, 2), Q'(4, -2)
B N'(-1, 1), F'(3, -3), Q'(3, 1)N'(-1, 1), F'(3, -3), Q'(3, 1)
C N'(0, -1), F'(4, 3), Q'(4, -1)N'(0, -1), F'(4, 3), Q'(4, -1)
D N'(0, -5), F'(4, -1), Q'(4, -5)N'(0, -5), F'(4, -1), Q'(4, -5)
NO SPAM I WILL REPORT IMMEDIATELY AND IF CORRECT BRAINLIEST BUT PLS HURRY THIS IS DUE TODAY WARNING FOR SPAMMERS AND I WILL BAN YOU IMMEDIATLEY! BUT HURRY!!!
By using the given translation rule, the translation of NFQ is equal to: A. N'(0, -2), F'(4, 2), Q'(4, -2).
The types of transformation.In Mathematics, there are different types of transformation and these include the following:
ReflectionRotationTranslationDilationWhat is a translation?A translation can be defined as a type of transformation which moves every point of the object in the same direction, as well as for the same distance.
By using the given translation rule: (x, y) → (x + 1, y - 1), we have:
N(-1, -1) → N'(-1 + 1, -1 - 1) = N'(0, -2).
F(3, 3) → F'(3 + 1, 3 - 1) = F'(4, 2).
Q(3, -1) → Q'(3 + 1, -1 - 1) = Q'(4, -2).
Therefore, the translation of NFQ is equal to N'(0, -2), F'(4, 2), Q'(4, -2).
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Results of 2017 survey of sample of executives from 155 banks reveal insights on banking priorities among bank institutions in certain region As bank institutions begin planning new year of utmost importance is boosting profitability and identifying growth areas Fifty-two percent of bank institutions note mobile app experience initiatives as an area in which spending expected t0 increase_ Implementing mobile app relationship management (MARM) solution was ranked as the top most important omnichannel strategy to pursue with thirty-six percent of institutions citing mobile app banking enhancements as the greatest anticipated strategy to enhance the customer experience. Complete parts (a) through (d) What Is the population of interest? the 155 bank executives in the region all bank institutions in the region that are Implementing mobile app relatonship management solution all bank execulives representing bank institutions all bank institutions 0 E all bank customers in the region that use mobile app banking b. Whal is the sample (hat was collected? the 56 bank institutions the region that cite mobile app banking enhancements as the greatest anticipated strategy the 81 bank institutions in the region that note mobile app experience initiatives as an area in which spending expected t0 increase the 56 bank institutions the region all bank executives the 155 executives representing bank institutions What E possible parameter of interest? proportion of bank executives representing bank institutions that cite mobile app banking enhancements as the greatest anticipated strategy the proportion of bank institutions in the region that cite mobile app banking enhancements as the greatest anticipated strategy the proportion of bank executives in Ihe region who were sampled the proportion of bank institutions in the region that have mobile app banking What the statistic used to estimate the parameter found in (c)? Select the correct choice below and fill in the answer box (0 complete your choice (Type an integer Or decimal: Do not round ) % of all bank institutions the study use mobile app banking % of bank executives representing bank institutions earn more than S500,000 per year % of executives representing bank institutions in the study cite mobile app banking enhancements as the greatest anticipated strategy %0 of all bank executives were sampled in the study
Using sampling concepts, it is found that:
a) The population of interest is all bank institutions in the region that are Implementing mobile app relationship management solution.
b) The sample is given by the 155 executives representing bank institutions.
c) The possible parameter of interest is the proportion of bank institutions in the region that cite mobile app banking enhancements as the greatest anticipated strategy.
d) The statistic used to estimate the parameter is: 36% of executives representing bank institutions in the study cite mobile app banking enhancements as the greatest anticipated strategy.
What is population and sample?Population: Collection or set of individuals or objects or events whose properties will be studied.Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.Hence, for this problem:
a) The population of interest is all bank institutions in the region that are Implementing mobile app relationship management solution.
b) The sample is given by the 155 executives representing bank institutions.
Parameter and Statistic:If the information is taken from a sample, it is called a statistic.If the information is taken from a population, it is called a parameter.Hence:
c) The possible parameter of interest is the proportion of bank institutions in the region that cite mobile app banking enhancements as the greatest anticipated strategy.
From the sample, the percentage is of 36%, hence:
d) The statistic used to estimate the parameter is: 36% of executives representing bank institutions in the study cite mobile app banking enhancements as the greatest anticipated strategy.
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PLEASE HELP! DUE IN LESS THAN 2 HOURS! IM STUCK! PLEASE HELP ME! THANKS QUESTION DOWN BELOW!!! PLEASE SHOW THE WORK! DETERMINE THE NUMBER OF LINE SEGMENTS IN THE 100TH PATTERN!
Answer:
Step-by-step explanation:
So we are not counting each line segment forming a cube. We are actually counting the four sides of the overall shape, and the number of segments inside it.
It will increase by 2 each time.
So if we start at 4(the four outside lines), go to 6(adding 2 on the inside), then to 8(adding 2 more on the inside), we continue this 100 times, correct?
So our equation would be
(x times 2) +4 (if we start at the SECOND term and count that as the first )
so, to figure out the answer to out problem, we insert 100 for x
(100 x 2)+4 = 204
This would leave us with one big square (4 outside line segments) With 100 segments going horizontal, and 100 vertical)
Hope this helps! ^^
What is the image of (-4,-2) after a reflection over the x-axis?
According to the image the x-axis, there is a reflection (- 4, 2 ).
How can a coordinate be found to mirror itself?An image that has been flipped has no points that are closer to the mirror line than the original shape. The point's coordinate must be multiplied by -1 in order to reflect it over the axis. Simply add -1 to the coordinate of the point to reflect it over the axis.
What does the term coordinate geometry refer to?Analytic geometry, often known as coordinate geometry, is the study of geometry using coordinate points. It is possible to determine distances between points using coordinate geometry, as well as divide lines into m:n segments, locate a line's midpoint, determine the area of a triangle in the Cartesian plane, and perform other operations.
According to the given data:Under the x-axis reflection.
A point (x, y) → (x, -y), so
(- 4, - 2 ) → (- 4, 2 )
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7x-5y= 0
49x+30y= 13
Answer:
what should we find the value of y and x or what
Type the correct answer in the box.
Simplify the following expression into the form a + bi, where a and bare rational numbers.
(3 + 7i) (-22i) - 4i(5 - 91)
Answer:
154-278i.
Step-by-step explanation:
(3+7i)(-22i)-4i(5-91)=-66i+154+344i=154+278i.
A commuter train travels 51 in minutes. What is its speed in 26 per hour?
The speed of the commuter train in kilometre per hour is 30.59 kilometres per hour
How to determine the speed in kilometres per hour?The given parameters are
Distance = 26 kilometres
Time = 51 minutes
Convert the number of minutes to hour
So, we have
Time = 51/60 hour
The speed of the commuter train in kilometre per hour is calculated as
Speed = Distance/Time
So, we have
Speed = 26 kilometres/(51/60 hour)
Evaluate the quotient
Speed = 30.59 kilometres per hour
Hence, the speed of the commuter train in kilometre per hour is 30.59 kilometres per hour
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Try to answer all of em for me please
Answer:
Step-by-step explanation:
1) Draw 5 and x on the number line. Draw a number line detailing x on the number line and moving to the left and it lands on 5
When √27 is expressed in simplest a√b form, what is the value
of a?
Answer:
3
[tex]3 \sqrt{3} [/tex]
Step-by-step explanation:
Remember to complete the prime factorization for 27. 27 = 9x3 = 3x3x3. The
[tex] \sqrt{3} \times \sqrt{3} \times \sqrt{3} [/tex]
is
[tex]3 \sqrt{3} [/tex]
PLEASE HELP As soon a possible
Find the coordinates of the point
7/10 of the way from A to B.
The coordinates of the point 7/10 of the way from A to B is (2.4, 4.2)
How to find the coordinates of the point 7/10 of the way from A to B?On the coordinate plane, we have the following coordinates
A = (-3, -8)
B = (11, 6)
The point 7/10 can be represented using the following ratio
m : n = 7 : 3
The coordinates of the point 7/10 of the way from A to B is calculated as
Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)
This gives
Point = 1/(7 + 3) * (3 * 11 + 3 * -3, 11 * 6 + 3 * -8)
Evaluate
Point = 1/10 * (24, 42)
This gives
Point = (2.4, 4.2)
Hence, the coordinates of the point 7/10 of the way from A to B is (2.4, 4.2)
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given g(x) = 2x/x-2, x≠2. find g²(x)
Answer:
x
Step-by-step explanation:
[tex]g^2 (x)=\frac{2\left(\frac{2x}{x-2} \right)}{\frac{2x}{x-2}-2} \\ \\ =\frac{4x}{2x-2(x-2)} \\ \\ =\frac{4x}{4} \\ \\ =x[/tex]
Find the total cost to the nearest cent.
$185 TV; 5% markup
The total cost to the nearest cent is $194.25
How to calculate the total cost ?The TV costs of $185
The markup is 5%
The total cost can be calculated as follows
185 + (185 × 5/100)
= 185 + (185 × 0.05)
= 185 + 9.25
= 194.25
Hence the total cost to the nearest cent is $194.25
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How many multiples of 4 lies between 10 and 20
Answer:
there are 2 multiples of 4 like 12 and 16
Step-by-step explanation:
The multiples of 4 are - 4,8,12,16,20,24
Raúl tenía 4 enteros 3/5 pliegos de papel crepé, y regaló a sus amigos 1 entero 1/4 ¿que fracción de papel crepé le quedo?
The fraction of paper left is 7/20.
How to calculate the value?From the information, it was stated that Raul had 3/5 sheets of paper and he then gave 1/4 to his friend.
Therefore, the fraction of paper that will be left will be:
= 3/5 - 1/4
= 12/20 - 5/20
= 7/20
The fraction is 7/20.
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