(4a^3-3a-8) - (a-5)

the slope of a line passing through h (-2, 5) is -3/4. Which ordered pair represents a point on this line?

rosijanka [135]

Answer:

A

Step-by-step explanation:

Calculate the slope of the given points with the point (- 2, 5 )

If the slope is - $\frac{3}{4}$ then the point is on the line

Calculate slope m using the slope formula

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

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (6, - 1)

m = $\frac{-1-5}{6+2}$ = $\frac{-6}{8}$ = - $\frac{3}{4}$ ← point (6, - 1) is on the line

Repeat with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (2, 8)

m = $\frac{8-5}{2+2}$ = $\frac{3}{4}$ ← point (2, 8) is not on the line

Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 5, 1)

m = $\frac{1-5}{-5+2}$ = $\frac{-4}{-3}$ = $\frac{4}{3}$ ← point (- 5, 1) is not on the line

Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (1, 1)

m = $\frac{1-5}{1+2}$ = - $\frac{4}{3}$ ← point (1, 1) is not on the line

Thus the point on the line is (6, - 1 ) → A

4 0

3 years ago

What is 13.989 to the nearest hundredth place?

Rashid [163]

Answer:

13.99

Step-by-step explanation:

So the hundredths place is the second digit after the decimal point in this case it is 8.

So the number after it is 9 so we round up.

The number after 8 is 9

So 13.989 to the nearest hundredth place is 13.99

3 0

3 years ago

Type the correct answer in the box. Write the standard form of the quadratic equation modeled by the points shown in the table b

White raven [17]

Y =ax² + bx +c

1) Point (0,7)

7 = a*0² +b*0 +c
c = 7
y=ax² + bx + 7

2) Point (1,4)
4=a*1² + b*1 + 7, ----> 4 = a +b + 7, ------> a+b= - 3
3) Point (2, 5)
5=a*2² + b*2 + 7, ----> 5=4a+2b +7,---> -2=4a+2b, ----> -1=2a + b

4) a+b= - 3, ----> b= -3 - a (substitute in the second equation)
2a+b= -1
2a - 3 - a = -1, ----> a - 3 = -1, a =2

5) a+b= - 3
2 + b = -3
b = -5

y=2x² - 5x + 7

8 0

3 years ago

What is (5,1) reflected on the y axis

asambeis [7]

Answer:

(-5 , 1)

Step-by-step explanation:

If you are reflecting over the x-axis, you are changing the sign of the y.

If you are reflecting over the y-axis, you are changing the sign of the x.

In this case, you have the point (5 , 1). You are reflecting over the y-axis, which means that you are flipping the sign of the x value.

(5 , 1) reflected over the y-axis is (-5 , 1)

(-5 , 1)

~

3 0

3 years ago

Read 2 more answers

Christy works in a building that is 880 feet tall. She wants to know the height of the building in miles and write it in decimal

vovangra [49]

Answer: 0.166667 miles

Step-by-step explanation:

8 0

2 years ago