A square has an area of 49 square feet. what is the perimeter of the square?

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

ExtremeBDS [4]

Answer:

$y\geq x-2$

$x+2y$

Step-by-step explanation:

step 1

Find the equation of the first inequality

Find the equation of the first solid line

we have the ordered pairs

(0,-2) and (2,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0+2}{2-0}$

$m=\frac{2}{2}$

$m=1$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=1$

$b=-2$ ---> the y-intercept is given

substitute

$y=x-2$

Remember that

Everything to the left of the solid line is shaded

so

The inequality is

$y\geq x-2$

step 2

Find the equation of the second inequality

Find the equation of the second dashed line

we have the ordered pairs

(0,2) and (4,0)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{0-2}{4-0}$

$m=\frac{-2}{4}$

$m=-\frac{1}{2}$

The equation in slope intercept form is equal to

$y=mx+b$

we have

$m=-\frac{1}{2}$

$b=2$ ---> the y-intercept is given

substitute

$y=-\frac{1}{2}x+2$

Remember that

Everything below and to the left of the line is shaded

so

The inequality is

$y$

Rewrite

Multiply by 2 both sides

$2y$

$x+2y$

therefore

The system of inequalities is

$y\geq x-2$

$x+2y$

see the attached figure to better understand the problem

5 0

3 years ago

Read 2 more answers

kyle has 105 baseball cards and must give 2/5 of his cards away. how many cards will kyle give away? what fraction of his cards

adelina 88 [10]

He has 3/5 of his cards left because he had 62/105 of his cards and that simplified is 3/5

6 0

3 years ago

What is the 69th term of -13,-33,-53

baherus [9]

Answer:

13 + 5 + 37

Step-by-step explanation:

4 0

3 years ago

I've never even seen a box and whiskers plot before!! Should be pretty straight forward though. Thanks!

alisha [4.7K]

For a box and whispers plot, each section represents 25% of the data. Therefore, the area from 85-99 represents 25% of the data.

25% of 24 students= 6 students
Final answer: 6 students

7 0

3 years ago

Read 2 more answers

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Basile [38]

Answer:

either it's 1:3 or 1:6

Step-by-step explanation:

3 students went to the zoo, and 15 students went to the aquarium.

15 plus 3 is 18.

3/18 then reduces to 1/6

therefore it is:

1:6

(before, I got my answer deleted so, maybe it is 1:3, but I solved it and got 1:6)

7 0

3 years ago