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3 years ago

Can someone help me please?!?

Mathematics

1 answer:

Damm [24]3 years ago

7 0

Answer:

k=10

Step-by-step explanation:

g(x)=2x^2+ kx+18

when x=-2

g(-2)=2 (-2)^2 -2k +18

Since when x is -2, y =6

6=2 (-2)^2 -2k +18

6=18+8-2k

2k=26-6

2k=20

k=10

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Square lMNO is shown in the diagram below what are the coordinates of the midpoint of a diagonal LN

sashaice [31]

Answer:

The coordinates of the midpoint of LN are $(-2\frac{1}{2},4\frac{1}{2})$

answer (4)

Step-by-step explanation:

* Lets explain how to find the midpoint of a line

- The coordinates of the midpoint of a line whose endpoints are (x1 , y1)

and (x2 , y2) are $x=\frac{x_{1}+x_{2}}{2},y=\frac{y_{1}+y_{2}}{2}$

∵ LMNO is a square

∵ The coordinates of point L are (-6 , 1)

∵ The coordinates of point N are (1 , 8)

- Let the coordinates of point L are (x1 , y1) , the coordinates of point

N are (x2 , y2) and the coordinates of the midpoint of LN are (x , y)

∴ x1 = -6 , x2 = 1 and y1 = 1 , y2 = 8

- Use the rule of the midpoint above to find the midpoint (x , y)

∵ $x=\frac{-6+1}{2}=\frac{-5}{2}=-2\frac{1}{2}$

∵ $y=\frac{1+8}{2}=\frac{9}{4}=4\frac{1}{2}$

∴ The coordinates of the midpoint are $(-2\frac{1}{2},4\frac{1}{2})$

* The coordinates of the midpoint of LN are $(-2\frac{1}{2},4\frac{1}{2})$

8 0

3 years ago

The volume of the rectangular prism is 240 cubic centimeters. A rectangular pyramid has the same length, width,and height as a p

LuckyWell [14K]

The volume of the pyramid would be 80 cubic centimeters. The reason for this is because the formula for volume of a pyramid is 1/3bh, so if all the dimensions are the same for both figures, just divide the volume of the prism by three to find the volume of the pyramid. If you do this 240÷3=80 or the volume of the pyramid.

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3 years ago

Read 2 more answers

Write 18 out of 30 as a fraction in its simplest form.

vlabodo [156]

Answer:

d). 3/5.

Step-by-step explanation:

The greatest common factor of 18 and 30 is 6, so we divide top and bottom of the fraction by 6:

18/30

= (18/6) / (30/6)

= 3/5.