a. The slope of a line that is parallel to y = 3/5x + 7 is: 3/5.
b. The slope of a line that is perpendicular to y = 3/5x + 7 is: -5/3.
How to Determine the Slope of Parallel Lines?Given a line is represented by the equation, y = 3/5x + 7, the slope (m) of the line is 3/5.
Any line that is parallel to y = 3/5x + 7 will have a slope (m) = 3/5 [same slope value].
On the other hand, any line that is perpendicular to y = 3/5x + 7 will have a slope of -5/3 [negative reciprocal].
Therefore:
a. The slope of a line that is parallel to y = 3/5x + 7 would be: 3/5.
b. The slope of a line that is perpendicular to y = 3/5x + 7 would be the negative reciprocal of 3/5, which is: -5/3.
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Given m \| nm∥n, find the value of x.
m
n
t
(7x-1)°
(8x-14)°
The value of x is 13.
What are corresponding angles?Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
We have,
Two lines m and n are parallel.
Two angles (7x -1)° and (8x - 14)° are corresponding angles.
We know that corresponding angles are equal.
We can write as:
7x - 1 = 8x - 14
We will find the value of x.
We will keep the like terms on one side.
14 - 1 = 8x - 7x
13 = x
x = 13
Therefore the value of x is 13.
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If (f⁰g)(x)=x²-6 x+8 and g(x)=x-3 , what is f(x) ?
Value for f(x) = x² - 12x + 35
What is the domain of the function f(x)?Given :
(f⁰g)(x) = x²-6 x+8
g(x) = x-3
Now ,
(f⁰g)(x) = f(g(x))
x²-6 x+8 = f(x-3)
let x = x-3
f(x) = (x-3)² - 6(x-3) + 8
f(x) = x² + 9 - 6x - 6x + 18 +8
f(x) = x² - 12x + 35
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Find m<1. (1 points each)
Answer:m= 83 degrees
Step-by-step explanation: the sum of all three corners will always add up to 180 so adding 31 and 66 together is 97 an then 180-97 is 83.brainliest?
A. -1/2
B. -2
C. 2
D. 1/2
Need help quickly!
Answer:
C 2
Step-by-step explanation:
Slope is change is y over the change in x
[tex]\frac{5- (-1)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2
Answer:
C. 2
Step-by-step explanation:
The Diaz family spent $85.97 on Martin's birthday dinner at
a pizza place. Tax on the meal was 7.5%, and they wanted
to leave a 20% tip because the service was excellent! How
much was the meal, including TAX and TIP?
O $110.90
O $92.42
O $109.60
O $113.47
PLEASE HELP ME ANSWER 34 and 36
Answer:
the phothois not clear pls incorrectly I can't understand
Solve each equation by factoring. Check your answers.
x²-7 x+12=0
Answer:
x = 4,3
Step-by-step explanation:
x²-7 x+12=0
(x-4) (x-3) = 0
x-4=0 x-3=0
x=4 x=3
Graph the points (–4,–4.5), (1,2.5), and (–2,–0.5) on the coordinate plane.
Answer:
Step-by-step explanation:
To graph any point (±x, ±y) we must follow the steps as illustrated below.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, The points (- 4,- 4.5), (1, 2.5), and (- 2, - 0.5).
Now, To graph the point (-4, - 4.5) we should move 4 units left along the x-axis and down 4.5 units along the y-axis.
Similarly, for points (1, 2.5) and (- 2, - 0.5) we must follow the exact steps.
The graph of the points is shown in the attached image.
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• x represents the weight of each triangle.
• y represents the weight of each square.
Jamir changed the number of shapes on each side of Hanger A to make Hanger B.
Write an EQUATION that could represent a balanced Hanger B.
Press "Try It" to see if Hanger B is balanced.
The equation that could represent a balanced hanger B, which is equivalent to hanger A, is: 6x + 3y = 3(3y + x).
How to Model a Situation Using Equations?Variables, which are alphabets represents unknown values and can be used in creating equations that model a scenario.
For example, in the model shown in the image, x represents the weight of each triangle while y = the weight of each square.
From the first balance, we can rearrange the squares and triangles to create hanger B.
The first equation is: 3(2x + y) = 9y + 3x
The second equation that can be created using the set of shapes would be:
6x + 3y = 3(3y + x)
Therefore, the equation that could represent a balanced hanger B, which is equivalent to hanger A, is: 6x + 3y = 3(3y + x).
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Answer: 2x+y=3y+x
Step-by-step explanation:
Does anybody know the answer to this problem?
Answer:
9. (1/3)
10. (0, -2)
11. y = (1/3)x - 2
Step-by-step explanation:
(x₁, y₁) and (x₂, y₂)
(-3, -3) (0, -2)
9.
y₂ - y₁ -2 - (-3) -2 + 3 1
m = ------------ = ------------ = ------------ = -------
x₂ - x₁ 0 - (-3) 0 + 3 3
10.
y = (1/3)x - 2
y = -2
y-intercept: (0, -2)
11.
y - y₁ = m (x - x₁)
y - (-3) = (1/3) (x - (-3)
y + 3 = (1/3) (x + 3)
y + 3 = (1/3)x + 1
-3 -3
y = (1/3)x - 2
I hope this helps!
I just need the answer for b, please.
Answer:
b = 16
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the angles and equate to 180
b + 15 + 8b - 18 + 39 = 180
9b + 36 = 180 ( subtract 36 from both sides )
9b = 144 ( divide both sides by 9 )
b = 16
Problem (Please HELP AND EXPLAIN!!!)
Kyra, Tai, and Rodney all measure sections of a tree that fell over during the last thunderstorm. They have different measurement tools, so Kyra measures 4 feet, Tai measures 3.5 yards, and Rodney measures 50 centimeters. There are 12 inches per foot, 3 feet per yard, and 2.54 centimeters per inch. If Kyra wants the total length of the tree to the nearest inch, how long is the tree?
Why was it necessary to add the three separate measurements together?
Why couldn't you add the feet, yards, and centimeters together? Use at least 1 complete sentence.
Using proportions, it is found that the total length of the tree is of 194 inches. Three separate measurements are needed because it is only possible to add values measured in the same unit.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for unit conversion problems, as unit conversion involve rates between the variables.
For this problem, we have that the measurements in inches, considering the rates in the problem, are as follows:
Kyra: 4 x 12 = 48 inches.Tai: 3.5 x 3 x 12 = 126 inches.Rodney: 50/2.54 = 20 inches.Hence:
48 + 126 + 20 = 194 inches.
The total length of the tree is of 194 inches. Three separate measurements are needed because it is only possible to add values measured in the same unit.
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Does the following set of ordered pairs of ( 0 , -4 ) , ( 3 , 2 ) , ( -3 , -1 ) , ( 2 , 0 ) represent a function?
Answer:
yes, each input (x) has only one output (y)
Step-by-step explanation:
PLEASE HURRY WAS DUE A HOUR AGO
What is the difference -4 -(-7) =
Answer:
Step-by-step explanation:
The answer is 3, if you did 4-7 it would be -3, but since both -4-(-7) are negative it's a positive 3.
Ignore the parentheses, is just there so you don't mix the negative sign up with the subtraction sign.
Help me pls- maths
Division
Based on the information given, the values are:
1. 80 rides
2. 53. 3%
3. 56. 6%
4. 30 students
What is percentage?
Percentage can be defined as the ratio of a number to 100.
It is denoted with the symbol, '%'
How to determine the values;
1.. 24 rides = thirty percent of the total rides
Total rides = 24 rides/ 30%
Total rides = 24/ 30/ 100 = 24/ 0. 3 = 80 rides
2. There are 14 Apple computers
16 PC computers
% of PC computers = 16/ 16 + 14 × 100/ 1
% of PC computers = 16/ 30 × 100
% of PC computers = 0. 53 × 100 = 53. 3
3. 3 out of 30 are not working
% of the working computers = 30- 3/ 30 × 100
% of the working computers = 17/ 30 × 100
% of the working computers = 56. 6
4.
If 12 students = 0. 4
Then x students = 1 - 0. 4 = 0. 6
cross multiply
x = 18 students
Total number of students = 40% + 60% of students = 18 + 12 = 30
Thus, the values are 80 rides, 53. 3%, 56. 6% , 30 students respectively.
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what is 9/23 rounded to the nearest hundreth
In the figure below, find the value of X.
2
45
X
Y
answer is 38
good right?
An environmental equipment supplier sells hemispherical holding ponds for treatment of chemical waste. The volume of a pond is V₁=1/2(4/3 π r₁³) , where r₁ is the radius in feet. The supplier also sells cylindrical collecting tanks. A collecting tank fills completely and then drains completely to fill the empty pond. The volume of the tank is V₂=12 π r₂², where r₂ is the radius of the tank.
a. Since V₁=V₂ , write an equation that shows r₁ as a function of r₂ . Write an equation that shows r₂ as a function of r₁.
The equation for r₁ as a function of r₂ is r₁ = ∛ 18 ₂² and the equation for r₂ as a function of r₁ is r₂ = r₁ / 3 √r₁ / 2.
We are given that:
To fill a pond whose volume is given as V₁ = 1 / 2 (4 / 3 π r₁³), we need a cylindrical tank whose volume is given by V₂ = 12 π r₂².
Also, V₁=V₂
So, we get that:
1 / 2 (4 / 3 π r₁³) = 12 π r₂².
4 / 3 π r₁³ = 24 π r₂²
r₁³ = 18 r₂²
r₂ = √ ( r₁³ / 18)
r₂ = r₁ / 3 √r₁ / 2
Now, r₁³ = 18 r₂²
r₁ = ∛ 18 ₂²
Therefore, the equation for r₁ as a function of r₂ is r₁ = ∛ 18 ₂² and the equation for r₂ as a function of r₁ is r₂ = r₁ / 3 √r₁ / 2.
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Given m || n, find the value of x and y.
(3x+17) (2y+14)°
(6x-16)⁰
Check the picture below.
[tex]3x+17=6x-16\implies 17=3x-16\implies 33=3x\implies \cfrac{33}{3}=x\implies \boxed{11=x} \\\\[-0.35em] ~\dotfill\\\\ (3x+17)+(2y+14)=180\implies 3x+2y+31=180 \\\\\\ 3\stackrel{x}{(11)}+2y+31=180\implies 33+2y+31=180\implies 2y+64=180 \\\\\\ 2y=116\implies y=\cfrac{116}{2}\implies \boxed{y=58}[/tex]
Write a function in terms of t that represents the situation.
A population of 100,000 decreases by 2% each year.
Answer:
Step-by-step explanation:
A 2% decrease each year means that the population at the end of a year is 98% of what it was at the start of the year. Apply this for t consecutive years and you get the relation
P(t) = Po (0.98)t
Po = 100,000
P(t) = 100,000 (0.98)t
Hi please show work thanks!
5 1/4 ÷ 2 1/2 =
3 1/2 ÷ 2 1/3 =
8 1/3 ÷ 1 1/6 =
2 2/3 ÷ 1 1/4 =
4 3/5 ÷ 2 1/5 =
1 3/5 ÷ 2 1/2 =
Answer: 1. (21/10 or 2.1). 2. (3/2 or 1.5)
Step-by-step explanation:
1. Let's take the first equation as an example (5 1/4 ÷ 2 1/2)
2. First, make both fractions improper (21/4, and 5/2)
3. Next, multiply the first fraction by the reciprocal (numerator and denominator swapped) of the second fraction. This is because, to keep the equation mathematically the same, we need to turn the division question into a multiplication question. In this case, it is 21/4 x 2/5 which answers 21/10, or 2.1.
4. Using the same method, we get 7/2 x 3/7, which is 3/2 (simplified), or 1.5.
I didn't want to give the answers for all the equations, but I hope this method is clear and concise for figuring out the answer for the rest of the equations.
Need help ASAP! Algebra 2, Systems of Equations
Jenny sells earrings and bracelets on Etsy. The earrings cost $5 a pair and bracelets cost $12. If Jenny made 20 pieces on Saturday for $156. How many of each type of jewelry did she make?
1. 10 earrings and 7 bracelets
2. 7 earrings and 10 bracelets
3. 12 earrings and 8 bracelets
4. 8 earrings and 12 bracelets
The number of each type of jewellery she made is 12 earrings and 8 bracelet .
How to find the number of jewellery using system of equation?She sells earrings and bracelets on Etsy.
The earrings cost $5 a pair and bracelets cost $12.
She made 20 pieces on Saturday for $156.
let
x = number of pair of earring made
y = number of bracelets
Therefore, the system of equation that can be used to find the number of each jewellery she made can be calculated as follows;
5x + 12y = 156
x + y = 20
multiply equation(i) by 5
5x + 12y = 156
5x + 5y = 100
subtract equation(i) from equation(ii)
7y = 56
y = 56 / 7
y = 8
Hence,
x + 8 = 20
x = 20 - 8
x = 12
Therefore, the number of earring and bracelet she made are 12 and 8 respectively.
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ASAP PLEASE HELP IF RIGHT ANSWER WILL GIVE BRAINLIEST, 15 POINTS, AND 5 STAR OVERALL!!!! IF WRONG ANSWER OR INVALID WILL REPORT, PLEASE, PLEASE, PLEASE!!
The inequality that is represented by the given graph is; y ≤ (3/4)x - 2
How to Interpret Inequality Graphs?
From the given inequality graph, we see that;
Slope; m = 3/4
x-intercept = -2.5
y-intercept = -2
Now, the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Thus, our graph is ordinarily;
y = (3/4)x + (-2)
y = (3/4)x - 2
However, it is an inequality that is shaded at the bottom with a thick line and so the inequality becomes;
y ≤ (3/4)x - 2
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- 58 + (-62)
please solve this
Answer:
-120
Step-by-step explanation:
what is the answer to the question below
Answer:
4 or -4
Step-by-step explanation:
The number on top (the numerator) is the absolute value of 8. This is just asking the distance from 0. 8 is 8 units away from zero, but so is -8.
So the answer could be [tex]\frac{8}{2}[/tex] or [tex]\frac{-8}{2}[/tex], the answer simplified would be 4 or -4
A survey question that starts out with the phrase do you agree that. Is an example of what?.
Deliberate bias is the correct answer.
Bias is the tendency of a statistic to overestimate or underestimate a parameter or result. It can be intentional or unintentional. They threaten the accuracy of the collected data. Deliberate bias is the misrepresentation of data to advance an agenda that is done purposely.
The extract of the results of an experiment is changed intentionally for personal benefit in terms of monetary, scientific, personal, or ideological purposes through deliberate bias.
This bias occurs when a group of people wants to control the collected information to move in a certain predetermined direction and receive various benefits that would promote themselves in the area of interest.
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How many 3/10 size pieces are in 3 wholes?
Answer:
10
Step-by-step explanation:
3 = [tex]\frac{30}{10}[/tex] , then
[tex]\frac{30}{10}[/tex] ÷ [tex]\frac{3}{10}[/tex]
= [tex]\frac{30}{10}[/tex] × [tex]\frac{10}{3}[/tex] ( cancel the 10's )
= [tex]\frac{30}{3}[/tex]
= 10
[tex]-12 x \frac{2}{3}[/tex]
According to the given question -12 [tex]\times[/tex] 2/3 is equal to -8.
There are certain rules to solve this question.
multiply -12 × 2 = -24
And,
then divide it by 3 as stated in the denominator.
[tex]\frac{-24}{3}[/tex] = -8
This is how we solve this equation.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.
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HELP PLS I DONT WANT TO FAIL
Answer:
11.9a − 3
Step-by-step explanation:
adding and subtracting polynomial (5w3+3w2–6w–7)–( – 5w2+8w–2)
Answer:
5w^3+8w^2-14w-5
Step-by-step explanation: