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2 years ago

What is the slope of a line perpendicular to the line whose equation is 4x+5y=35. Fully simplify your answer.

Mathematics

1 answer:

grin007 [14]2 years ago

5 0

Answer:

The slope a line perpendicular to the line whose equation is 4x+5y=35, is $\frac{5}{4}$ .

Step-by-step explanation:

1. Solve the given equation for y.

$4x+5y=35\\\\5y=35-4x\\\\\frac{5y}{5} =\frac{35}{5} -\frac{4x}{5} \\\\y =7 -\frac{4x}{5}\\\\y = -\frac{4}{5}x+7$

2. Identify the slope.

The slope of a linear equation is always the number x is being multiplied for. Hence, the value of this equation is $-\frac{4}{5}$ .

3. Find the slope of the perpendicular line.

The slope of a perpendicular line is always the multiplicative and addition reciprocal of the initial function. This means that you will have to invert and fracction, and add the inverse sign before it. Let's do it by parts:

a) Find the multiplicative reciprocal (invert the fraction).

$-\frac{5}{4}$

b) Put the opposite sign before the fraction.

$+\frac{5}{4}$

4. Express a result.

The slope a line perpendicular to the line whose equation is 4x+5y=35, is $\frac{5}{4}$ .

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Raul is selling coupon books. He started with 50 coupon books and has already won a prize for selling at least 10 coupon books.

Svetach [21]

Answer:

Option 3.

Step-by-step explanation:

The given function is

$f(x)=20x$

where, x is number of coupon books.

We have to find the practical domain for the given function.

Domain : The set of input values is called domain.

It is given that Raul is selling coupon books. He started with 50 coupon books and has already won a prize for selling at least 10 coupon books.

The number of coupon books can not be a decimal or fraction value. It means the values of x are integers.

The value x is all integers from 10 to 50.

Hence, the correct option is 3.

3 0

3 years ago

Please HELP!!! Math skills. Write to large or small. Read please.

Paladinen [302]

Answer:

2. Too large, 3

3. Too large, 7

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4 years ago

Describe the equation 2x + 15 = 23 + x in words.

AveGali [126]

Answer:

x = 8

x = 21/14

x = 8

x = 15/21

x = 1/4

x = 7

Step-by-step explanation:

(For all instances of number, let it be x)

Double the sum of a number and 15. The result is the same as the product of 23 and the number.

2x + 15 = 23 + x

2x - x + 15 = 23 + x - x

x + 15 = 23

x + 15 - 15 = 23 - 15

x = 8

Multiply a number by 15 and add 2. The result is the same as the sum of 23 and the number.

15x + 2 = 23 + x

14x + 2 = 23

14x = 21

x = 21/14

Double a number and add 15. The result is the same as the sum of 23 and the number.

2x + 15 = 23 + x

x + 15 = 23

x = 8

Double a number and add 15. The result is the same as the product of 23 and the number. (This time we will move the x to the other side as the right side has a larger x than the left side)

2x + 15 = 23x

15 = 21x

x = 15/21

Multiply a number by 15 and add 2. The result is the same as the product of 23 and the number.

15x + 2 = 23x

2 = 8x

2/8 = x

x = 1/4

Double the sum of a number and 15. The result is the same as the sum of 23 and the number.

2(x + 15) = 23 + x

2x + 30 = 23 + x

x + 30 = 23

x = 7

6 0

3 years ago

The volume of a sphere is a function of its radius, V=4/3 πr^3 Evaluate the function for the volume of a volleyball with radius

il63 [147K]

The volume of a volleyball with radius 11.1 cm is 5731.025 cubic centimeter

<h3>Solution:</h3>

Given that volume of a sphere is a function of its radius

$V=\frac{4}{3} \pi r^{3}$

Radius = 11.1 cm

To find: volume of a volleyball

Since volleyball is generally of spherical shape, we can use volume of sphere formula

$\text {volume of sphere }=\frac{4}{3} \pi r^{3}$

Where "r" is the radius of sphere and $\pi$ is a constant which has value 3.14

Substituting the given radius r = 11.1 cm

$\text {volume of sphere }=\frac{4}{3} \times \frac{22}{7} \times 11.1^{3}$

$\text {volume of sphere }=\frac{88}{21} \times 1367.631$

volume of sphere = 5731.025 cubic centimeter

Thus the volume of volleyball is 5731.025 cubic centimeter

8 0

3 years ago

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Ierofanga [76]

It’s f+3 that your anser

5 0

3 years ago