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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HELP 5TH GRADE WORK
The value of the expression, 8 + (18 ÷6) x (2 x 9 - 4) is 50.
What is the value of the expression?The order of operations gives a guideline with which mathematical operations are solved. The order of operations are provided using the BODMAS rule.
According to BODMAS, the order of operations are brackets, of, division, multiplication, addition and subtraction.
The expression is:
8 + (18 ÷6) x (2 x 9 - 4)
The terms in the bracket would be solved first :
(18 ÷6) = 3
(2 x 9 - 4)
The multiplication would be solved first, then 4 would be subtracted from the result of the multiplication : 18 - 4 = 14
The expression becomes: 8 + 3 x 14
The multiplication would be solved first and then 8 would be added to the result: 8 + 42 = 50
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The magnitude of an earthquake is related to the relative intensity by which of the following formulas?
magnitude = log(relative intensity)
magnitude = relative intensity
magnitude = 10relative intensity
magnitude = 10 log(relative intensity)
The magnitude of an earthquake is related to the relative intensity by
magnitude = log(relative intensity).
Magnitude is a measure of earthquake size and remains unchanged with distance from the earthquake. Intensity, however, describes the degree of shaking caused by an earthquake at a given place and decreases with distance from the earthquake epicentre.
A better measure of the size of an earthquake is the amount of energy released by the earthquake, which is related to the Richter Scale by the following equation:
Log E = 11.8 + 1.5 M
(where Log refers to the logarithm to the base 10, E is the energy released in ergs and M the Richter magnitude).
Magnitude is determined from measurements on seismographs. Intensity measures the strength of shaking produced by the earthquake at a certain location. Intensity is determined from effects on people, human structures, and the natural environment.
An earthquake's magnitude is inversely proportional to its relative intensity (magnitude = log) (relative intensity)
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HELP FIND THE VALUES
Answer: [tex]j=1, k=2[/tex]
Step-by-step explanation:
[tex]4(x+j)+k(3x-5)=10x-6\\\\4x+4j+3kx-5k=10x-6\\\\x(4+3k)+(4j-5k)=10x-6\\\\\implies 4+3k=10 \implies k=2\\\\\implies 4j-5k=4j-10=-6 \implies j=1[/tex]
What is 10 less than 43?
Answer:
33
Step-by-step explanation:
43 - 10 = 33
Answer:33
Step-by-step explanation:hope it helps, brainliest? i could really use it
Help me asap Geometry!!!!
Answer:167
Step-by-step explanation: 360 - 90-35-68=167
What is the price, in dollars, of an iPhone that has been marked down 18
percent from its original price of 1200 dollars?
Answer:
If 100%=1200 what about 100%-18%.
You get 984$
What is BC?
…………………..
Step-by-step explanation:
I will assume that DC is 16,
16 x 2= 32
What are the coordinates of the y intercept of the line 2x-4y=4
to get the y-intercept, we can simply set x = 0 and solve for "y".
[tex]2x-4y=4\implies 2(\stackrel{x}{0})-4y=4\implies -4y=4\implies y=\cfrac{4}{-4}\implies y=-1 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (0~~,~~-1)~\hfill[/tex]
What are the square roots of 8,100?
There are 713 identical plastic chips number one through 713 in a box what is the probability of reaching into the box and randomly drawing the chip number to 564 express your answer as a simplified fraction or decimal rounded to four decimal places
The probability of randomly drawing the chip number 564 is 1 / 713 or 0.0014
What is the probability?
Probability is used to determine the odds that a random event would happen. The odds that the event would happen is a distribution that lies between 0 and 1.
If it is certain that the event would occur, the probability value would be 1. If it is certain that the event would not occur, the probability value would be 0. If it is equally likely that the event would happen or not happen, the probability value would be 0.5.
The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
The probability of randomly drawing the chip number 564 = number of chips numbered 564 / total number of chips
1 / 713 = 0.0014
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. Write down the first five terms of the AP with first term 7 and common difference 7.
The arithmetic sequence is 7,14,21,28,35,48
In an arithmetic progression (AP) sequence of numbers, the difference between any two consecutive integers is always the same. It is also known as an arithmetic sequence.
There are two definitions for an arithmetic sequence. Each term in an arithmetic sequence is created by adding a predetermined number (positive, negative, or zero) to its preceding term. It is a "series where the differences between every two following terms are the same."
Given,
first term, a = 7
common difference d = 7
n = 2
a+(n-1)d = 7+( 2 - 1 )7
= 7 + 7
= 14
n = 3
a+(n-1)d = 7+(3-1) 7
= 7+14
= 21
n = 4
a+(n-1)d = 7+(4-1) 7
= 7+ (3)7
= 28
n = 5
a+(n-1)d = 7+( 5-1 ) 7
= 7+ (4)7
= 35
n = 6
a+(n-1)d = 7+( 6-1 ) 7
= 7+ (5)7
= 42
the five terms are 7,14,21,28,35,48.
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PLEASE HELP!
When purchasing a new music Plan you are given two pay options
With Plan A, you can pay 25 cents per minute. This can be represented by the equation
c = 0.25m
With Plan B, you can pay 19 cents per minute plus a flat fee of $6.00. This can be represented by the equation c = 0.19m + 6.00
Complete the following steps to determine how many minutes you would need to use for
Plan B to be less expensive than Plan A
Write an inequality that represents Plan B < Plan A
Inequality: ____ <_____
Solve the inequality and use your answer to complete the following sentence:
Plan B is less expensive than Plan A when you use at least ______
Plan B is less expensive than Plan A when you use at least 25
What is an inequality?Inequalities can simply be defined as mathematical expressions in which both or two sides of the expression are not equal.
From the information given, we have that;
Plan A = c = 0. 25mPlan B = c = 0. 19m + 6. 00Now, let's write the inequality that represents Plan B < Plan A
If Plan B < Plan A
Then,
0. 19m + 6. 00 < 0. 25m
Let's simply the inequality
6. 00 < 0. 25m - 0. 19m
0. 06m < 6. 00
Make 'm' the subject
m < 6. 00/ 0. 06
m < 100
Thus, Plan B is less expensive than Plan A when you use at least 25
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Jordan bought 4 shirts
that each cost the same
amount and I pair of
jeans
that cost $40.
The items he bought cost
a total of $180 before
tax. What was the cost of
each shirt in an equation.
Answer:
Each shirt costs $35.00
Step-by-step explanation:
1 jeans = $40
4 shirts =$180 - $40 = $140.00
1 shirt = $140 ÷ 4 = $35.00
Each day Donna and Mary toss a coin to see who buys the other person coffee ($1.73 a cup). One tosses and the other calls the outcome. If the person who calls the outcome is correct, the other buys the coffee; otherwise the caller pays. Assume that an honest coin is used, that Mary tosses the coin, and that Donna calls the outcome. Find Mary's expected payback. Is this a fair game?
Mary's expected payback based on the information illustrated is 0.865. This isn't a fair game.
How to calculate the probability?Based on the information, the chances of Donna winning will be 1/2.
It was also stated that each day Donna and Mary toss a coin to see who buys the other person coffee ($1.73 a cup).
Therefore, Mary's expected payback will be:
= (0 × 1/2) + (1.73 × 1/2)
= 0 + 0.865
= 0.865.
Therefore, Mary's expected payback based on the information illustrated is 0.865. This isn't a fair game.
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155,349 for each number, give the whole number that represents the value of the underlined digit.Write your answers in the boxes.
651,907
947,502
317,055
The whole number that represents the value of the underlined digit in each case is as follows:
155,349: 5 = 5,000651,907: 5 = 50,000947,502: 9 = 900,000317,055: 5 = 50.How is the value of a digit within a whole number determined?The value of a digit is the worth of the digit within its number place.
The number place determines the value of an underlined digit.
For instance, the number place values of 5 in the first and second situations are in the thousands and ten thousand place values.
The number place value of 9 in the third situation is in the hundred thousand place values, while the place value of 5 in the last example is in the ten place value.
Thus, the value of an underlined digit depends on its place value, and the place value is a digit's value based on its position.
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Complete Question:For each number, give the whole number that represents the value of the underlined digit.
155,349
651,907
947,502
317,055
Kaleigh's aunt drives for Wheels Around Town, an app-based ride sharing service, to make extra money for her family. The table below shows the relationship between miles driven and money earned. Is the relationship between miles and money earned proportional
Based on the money earned by Kaleigh's aunt from Wheels Around Town, the relationship between miles and money earned is proportional.
How to find a proportional relationship?In a proportional relationship, the rate of increase or decrease in x should be equivalent to the rate of increase or decrease in y. This rate should be constant through the entire distribution.
The equation of the line should take the form:
y = mx
There should be no y-intercept.
The slope is:
= (48 - 72) / (120 - 180)
= -24 / - 60
= 2/5
Every value of y has to be 2/5 of x.
= 160 x 2/5 = 64
= 200 x 2/5 = 80
The relationship is therefore proportional.
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At a used book sale, 5 books cost $15.
1. What is the cost per book?
2. At this rate, how many books can you buy for 21$
Answer:
the cost per book is 3$. you can buy 7 books for 21$.
Step-by-step explanation:
15 divided by 5 is 3, so they cost 3 each. 21 divided by 3 is 7.
Given the system of constraints, name all vertices. Then find the maximum value of the given objective.
The maximum value of the objective C = 5x -4y over given constraints is
What is system of constraints?In any optimization problem, when we need to either maximize or minimize some objective function for that we are given some limitations or logical conditions which the objective function needs to satisfy in order to maximize or minimize.
These constraints are in the form of equalities or inequalities, where a feasible region satisfying all these equalities or inequalities is first found and then we maximize/minimize our objective on the boundary points of this feasible region.
Given problem is:
Maximize Objective function C = 5x-4y
When system of constraints are (i) x≥0 , (ii) y≥0 , (iii) 4 ≤y+ x
(iv) y ≤ (1/5)x +1
We will graph this system of constraints to find the feasible area.
x≥0,y≥0 represents that feasible area is in the 1st quadrant
For 4 ≤ x + y, we will use corresponding x+ y = 4 equality
When x= 0 then y=4 and when y=0 then x=4 , then y+ x = 4 is a line passing through (0,4) and (4,0)
When be substitute (0,0) in 4 ≤ x + y we get 4 ≤0 which is a false statement .
Therefore,4 ≤y + x is the region starting with line x+ y = 4 and area above this line in opposite direction of origin.
For y ≤ (1/5)x +1, we will use y = (1/5)x +1, put x= 0 we get y=1 and put y=0 then x= -5 , then y= (1/5)x +1 is a line passing through (0,1) and (-5,0)
And on substituting (0,0) in y ≤ (1/3)x +1 we get 0 ≤ 1 which is a true statement .
Therefore, y ≤ (1/5)x +1 is region including the line y = (1/5)x +1 and area on the side of this line that is towards origin
The feasible region is shown in the attached picture with the boundary points of the shaded area.
ABC is the shaded area is feasible area, where A= (0,4) ,B= (2.5, 1.5 ), C= (0,1)
Z at A : 5(0) -4 (4) =-16
Z at B : 5(2.5) -4(1.5) =6.5
Z at C : 5(0) -4(1) = -4
Clearly, maximum value of z in feasible area is Z= 6.5 at point (2.5, 1.5)
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Which expression shows you how you can use mental math to simplify the expression
9.15. 2 most easily?
The expression can use mental math to simplify the expression
9.15. 2 most easily is (15×2)×9.
Expression:
A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.
Possible expressions for the given question:
1) (15×9)×2
2)(15×2)×9
3)(2×9)×15
1⇒ Becomes complicated because of multiplication of 15 and 9
2⇒ Becomes easy because of (15×2) and then multiplication with 9
3⇒ Becomes complicated because of multiplication of 15 and (2×9)
Therefore,The expression can use mental math to simplify the expression 9.15. 2 most easily is (15×2)×9.
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under her cellphone plan, makayla pays a flat cost of $47.50 per month and $5 per gigabyte. She wants to keep her bill at $70.50 per month. How many gigabytes of data can she use while staying within her budget?
Answer:
15 Gigabites
Step-by-step explanation:
The closest you can can get to is $70, so by adding five in the times tables it gets you up to 15 x 5 which is 70.
Given g(a) = 5x - 3, find g(-2)
Answer:
-13
Step-by-step explanation:
Plug in -2 to x:
5(-2) - 3
Multiply 5x-2:
-10 - 3
Because two negatives make a positive, add -10 and -3:
-13
-1/2 (10x-4) -( 4x-2)
The value of the expression -1/2 * (10x - 4) - (4x - 2) is -9x + 4
How to evaluate the expression?The expression is given as
-1/2 (10x-4) -( 4x-2)
Rewrite properly as
-1/2 * (10x - 4) - (4x - 2)
Open the brackets
So, we have
-1/2 * (10x - 4) - (4x - 2) = -5x + 2 - 4x + 2
Collect the like terms in the above expression
So, we have
-1/2 * (10x - 4) - (4x - 2) = -5x - 4x + 2 + 2
Evaluate the like terms in the above expression
So, we have
-1/2 * (10x - 4) - (4x - 2) = -9x + 4
Hence, the value of the expression -1/2 * (10x - 4) - (4x - 2) is -9x + 4
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A, B and C are the vertices of a triangle.
A has coordinates (4, 6)
B has coordinates (2,-2)
C has coordinates (-2,-4)
D is the midpoint of AB.
E is the midpoint of AC.
Prove that DE is parallel to BC.
According to the solving it is proved that DE is parallel to BC.
What do we mean by coordinates?Coordinates are numerical lengths or angles that uniquely identify points on two-dimensional (2D) or three-dimensional (3D) surfaces ( 3D ). Mathematicians, physicists, and engineers employ a variety of coordinate systems.
What does a parallel mean?In-parallel refers to something that is the same distance as well as the direction away from something else. Two lines of individuals standing straight across from each other is an example of in-parallel. noun. 1. In-parallel means traveling the same direction and distance as something else.
According to the given data:To obtain the coordinates of each midpoint, use the midpoint formula.
(x, y) = (½ (x₁ + x₂), ½(y₁ + y₂))
Coordinates of D:
(x, y) = (½ (4 + 2), ½(6 + -2))
(x, y) = (3, 2)
Coordinates of E:
(x, y) = (½ (4 + -2), ½(6 + -4))
(x, y) = (1, 1)
Slope of DE:
m = Δy / Δx
m = (2 − 1) / (3 − 1)
m = 1/2
Slope of BC:
m = Δy / Δx
m = (-2 − -4) / (2 − -2)
m = 1/2
Therefore, DE is parallel to BC.
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13. How many different 3-character codes are there using A, B,
or C for the first character, 8 or 9 for the second character,
and 0 or 1 for the third character?
Answer:
12
Step-by-step explanation:
___ * ___ * ___
At the first one you have 3 choices so
_3_ * ___ * ___
then you have two choices for the second and third code
so 3 * 2 * 2 = 12
subtracting linear expressions 30 points
Answer:
1) -2a + 2
2) x + 1
3) -5x + 5
Step-by-step explanation(1):
[tex]\left(7a+4\right)-\left(9a+2\right)\\=7a+4-\left(9a+2\right)\\=7a+4-9a-2\\=7a-9a+4-2\\=-2a+4-2\\=-2a+2[/tex]
Step-by-step explanation(2):
[tex]\left(2x+5\right)-\left(x+4\right)\\=2x+5-\left(x+4\right)\\=2x+5-x-4\\=2x-x+5-4\\=x+5-4\\=x+1[/tex]
Step-by-step explanation(3):
[tex]\left(2x+4\right)-\left(7x-1\right)\\=2x+4-\left(7x-1\right)\\=2x+4-7x+1\\=2x-7x+4+1\\=-5x+4+1\\=-5x+5[/tex]
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Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels
containing 40 coins each, 4 rolls of dimes containing 50 coins each, and 3
rolls of quarters containing 40 coins each. How much money does he have?
A. $63.00
B. $17.50
C. $68.40
D. $8.20
Answer:
$63
Step-by-step explanation:
Penny = $0,01
Nickel = $0.05
Dime = $0.1
Quarter= $0.25
Number of pennies = 6*50 = 300
Number of nickels = 5*40= 200
Number of dimes = 4*50= 200
Number of quarters = 3*40 = 120
The total amount of money:
300*0.01+ 200*0.05 + 200*0.1 + 120*0.25 = $63
Please help asap Geometry
Answer:
x=4
Step-by-step explanation:
22x-3+35+60=180
add like numbers.
22x+92=180
180-92=88
22x=88
88 divided by 22
x=4
check work=
22(4)-3+35+60=180
solve for y. a=9y+3yx
40 POINTS!
Simplify 3x * 1/x^-4 * x^-3
3x
3x2
3
3x−2
Answer:
[tex]\sf {3x}^{2} [/tex]
Step-by-step explanation:
[tex] \rightarrow \sf 3x(\frac{1}{{x}^{-4}}) {x}^{-3} [/tex]
[tex] \rightarrow \sf \frac{ {3x}^{5} }{ {x}^{3} } [/tex]
[tex] \rightarrow \sf {3x}^{2} [/tex]
Y+2=1/3(x-8) what is the slope
The slope of the equation of the line described is equal to 1/3.
What is a slope?A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
x and y are the points.m is the slope.c is the intercept.y + 2 = 1/3(x-8)
y + 2 = 1/3x - 8/3
y = 1/3x - 8/3 - 2
y = 1/3x - 2/3
Therefore, the slope of the equation of the line described is equal to 1/3.
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