All categories

3 years ago

Write the equation of a line that goes through point (0, -8) and has a slope of 0

Mathematics

1 answer:

vaieri [72.5K]3 years ago

7 0

Answer:

Step-by-step explanation:

y + 8 = 0(x - 0)

y + 8 = 0

y = -8

You might be interested in

Determine what shape is formed for the given coordinates for ABCD, and then find the perimeter and area as an exact value and ro

Helga [31]

Answer:

Part 1) The shape is a trapezoid

Part 2) The perimeter is $25(4+\sqrt{2})\ units$ or approximately $135.4\ units$

Part 3) The area is $937.5\ units^2$

Step-by-step explanation:

step 1

Plot the figure to better understand the problem

we have

A(-28,2),B(-21,-22),C(27,-8),D(-4,9)

using a graphing tool

The shape is a trapezoid

see the attached figure

step 2

Find the perimeter

we know that

The perimeter of the trapezoid is equal to

$P=AB+BC+CD+AD$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

we have

A(-28,2),B(-21,-22)

substitute in the formula

$d=\sqrt{(-22-2)^{2}+(-21+28)^{2}}$

$d=\sqrt{(-24)^{2}+(7)^{2}}$

$d=\sqrt{625}$

$d_A_B=25\ units$

Find the distance BC

we have

B(-21,-22),C(27,-8)

substitute in the formula

$d=\sqrt{(-8+22)^{2}+(27+21)^{2}}$

$d=\sqrt{(14)^{2}+(48)^{2}}$

$d=\sqrt{2,500}$

$d_B_C=50\ units$

Find the distance CD

we have

C(27,-8),D(-4,9)

substitute in the formula

$d=\sqrt{(9+8)^{2}+(-4-27)^{2}}$

$d=\sqrt{(17)^{2}+(-31)^{2}}$

$d=\sqrt{1,250}$

$d_C_D=25\sqrt{2}\ units$

Find the distance AD

we have

A(-28,2),D(-4,9)

substitute in the formula

$d=\sqrt{(9-2)^{2}+(-4+28)^{2}}$

$d=\sqrt{(7)^{2}+(24)^{2}}$

$d=\sqrt{625}$

$d_A_D=25\ units$

Find the perimeter

$P=25+50+25\sqrt{2}+25$

$P=(100+25\sqrt{2})\ units$

simplify

$P=25(4+\sqrt{2})\ units$ ----> exact value

$P=135.4\ units$

therefore

The perimeter is $25(4+\sqrt{2})\ units$ or approximately $135.4\ units$

step 3

Find the area

The area of trapezoid is equal to

$A=\frac{1}{2}[BC+AD]AB$

substitute the given values

$A=\frac{1}{2}[50+25]25=937.5\ units^2$

4 0

3 years ago

Write the equation of this circle in standard form

givi [52]

Answer:

Step-by-step explanation:

because if you solve the problem it is equal to c

3 0

2 years ago

What’s greatest common factor of 20 24 52

Anastasy [175]

Answer: 4

you have to find prime factors of each number

3 0

3 years ago

Read 2 more answers

What is the difference between 4/5- 1/2 *

alexira [117]

Answer:

0.3

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A car travels 348 miles on 12 gallons of gas dominic used 8 gallons on a trip how far did the car travel

Cloud [144]

Answer:

We can start by figuring out how much he traveled per gallon. To do so all we need to do is divide the amount of miles he drove by the gallons it took him to drive that distance (348/12). This comes out to 29 miles. THerefore he drives 29 miles per gallon of gasoline.

Now to find how far he traveled with 8 gallons we need to multiply 29 times 8 (miles per gallon times how many gallons he used)

Your answer is 232

Step-by-step explanation:

4 0

3 years ago