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lord [1]
3 years ago
12

What is the slope of a line that is perpendicular to the line whose equation is 3x+5y=4?

Mathematics
1 answer:
kap26 [50]3 years ago
8 0

Answer:

5/3 or 1.67

Step-by-step explanation:

Find the slope of the original line

3x+5y=4                Subtract 3x from both sides

5y = - 3x + 4           Divide both sides by 5

y = (-3/5)x + 4

The original line has a slope of - 3/5 or - 0.6

Find the slope of the perpendicular line

m1 * m2 = - 1

m1 = - 3/5

m2 = -1/(-3/5)

m2 = 5/3

The slope of the perpendicular line is

5/3 or 1.67

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What is the solution to the problem 2y+3=4y+2
yulyashka [42]

Answer:

y = 1/2

Step-by-step explanation:

<u>Step 1:  Solve for y</u>

2y + 3 = 4y + 2

2y + 3 - 2 - 2y = 4y + 2 - 2 - 2y

1 / 2 = 2y / 2

1/2 = y

Answer:  y = 1/2

8 0
2 years ago
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Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park: A coordinate plane is shown.
scoundrel [369]

Answer:

It is an undefined slope

Step-by-step explanation:

It has a slope of 0/6, meaning it is an undefined slope. Since it is an undefined slope it will draw a vertical line.

7 0
2 years ago
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A rectangle and a square have the same area. The length of the rectangle is seventy feet more than two times its width. The leng
Zanzabum

Using the side of the square find the area:

Area = 30^2 = 900 square feet.

The rectangles area is the same, 900 square feet.

Let the width = X

The length would be 2X + 70

Area = length x width

X * 2x+ 70 = 900

This expands to 2x^2 * 70x = 900

Use the quadratic formula to solve for x:

-70 +/- sqrt(70^2-4*2(-900))/2*2

X = 10

Width = x = 10 feet

Length = 2x + 70 = 90 feet

8 0
2 years ago
In which place is the digit in the number 5,341 that would be changed to form 5,841? How do the values of the two numbers compar
Colt1911 [192]
We want to change the digit in the number 5,341 into 5,841, and to find the difference between the numbers.

Refer to the figure shown below.
The number 3 is in the 3rd place (hundreds) of the number 5,341 as a digit.
It is replaced by 8  to form the number 5,841.

This means that 300 is replaced by 800 because, in the third place, we count by hundreds in the 3rd place.
The difference between 800 and 300 is 500.

Subtraction of 5,341 from 5,841 also yields 500.

Answer:
The digit is in the 3rd place (hundreds).
The difference between the numbers is 500.

3 0
3 years ago
8,minus some number divided by 3, equals 6. find the numbers
algol [13]
8 - (-10) = 18
18 / 3 = 6
hope this helps
5 0
3 years ago
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