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3 years ago

Which of the following is the inequality −18x + 2y ≥ −13 written in slope-intercept form?

Mathematics

1 answer:

nikdorinn [45]3 years ago

4 0

Answer:

Step-by-step explanation:

$-18x+2y\geq-13\qquad\text{add}\ 18x\ \text{to both sides}\\\\-18x+18x+2y\geq18x-13\\\\2y\geq18x-13\qquad\text{divide both sides by 2}\\\\\dfrac{2y}{2}\geq\dfrac{18x}{2}-\dfrac{13}{2}\\\\\boxed{y\geq9x-6.5}$

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I NEED HELP :_( Which of the following points is in the solution set of y > -x∧2 + 5? (0, 5) (2, 4) (1, 3)

marysya [2.9K]

Answer:

$\huge\boxed{(2;\ 4)}$

Step-by-step explanation:

We have

$y>-x^2+5$

Put the coordinates of the given points and check the inequality:

For (0; 5) → x = 0; y = 5

$5>-0^2+5\\5>0+5\\5>5\qquad\bold{FALSE}$

For (2; 4) → x = 2, y = 4

$4>-2^2+5\\4>-4+5\\4>1\qquad\bold{TRUE}$

For (1; 3) → x = 1, y = 3

$3>1^2+5\\3>1+5\\3>6\qquad\bold{FALSE}$

7 0

3 years ago

Find the midpoint of diagonal AC of ABCD

Vladimir79 [104]

Answer:

M= (1, 3)

Step-by-step explanation:

we have from the picture:

A = (-3,5)

C = (5, 1)

M = Midpoint

M =((x1+x2)/2), ((y1+y2)/2)

so we have:

x1= -3 y1 = 5

x2= 5 y2= 1

M= ((-3+5)/2) , ((5+1)/2)

M = ((2/2) , (6/2))

M= (1, 3)

5 0

3 years ago

What is the area of the parallelogram?

madreJ [45]

Answer:

60 in²

Step-by-step explanation:

Area = base × height

= 15×4 = 60in²

4 0

4 years ago

Read 2 more answers

There's a plane that flies at an altitude of 25,000 feet. There's a submarine that dives to a depth of 600 feet below sea level.

ella [17]

25,000 + 600 considering they would meet at 0, so they are 25,600 feet apart

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4 years ago

Is the function y = -7 a linear function?

dmitriy555 [2]

<h3>Answer: Yes it is linear.</h3>

Explanation:

The given equation is the same as y = 0x - 7. It matches the form y = mx+b which is slope intercept form of a linear equation.

The slope m = 0 always applies to horizontal lines. All points on this line have a y coordinate of -7.

7 0

3 years ago