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sineoko [7]
3 years ago
5

2. For the function y = 1/2x + 6, if the input is x = -4, the output is y =

Mathematics
1 answer:
lys-0071 [83]3 years ago
4 0

Answer:

y = 4

Step-by-step explanation:

Substitute the input x = - 4 into the function and evaluate for y

y = \frac{1}{2} × - 4 + 6

  = - 2 + 6

  = 4

 

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What is the equation of this line in standard form? 8x−7y=−25 8x−9y=23 8x−9y=−23 9x−8y=23 Number graph ranging from negative fiv
Gnoma [55]

Answer:

The equation of line is:

8x-9y=-23

Step-by-step explanation:

We are given that a graph is  a that passes through two points:

(-4,-1) and (\dfrac{1}{2},3)

We know that the equation of line passing through two points:

(a,b) and (c,d) is given by:

y-b=\dfrac{d-b}{b-a}\times (x-a)

Here we have:

(a,b)=(-4,-1) and (c,d)=(\dfrac{1}{2},3)

Hence, the equation of line is:

y-(-1)=\dfrac{3-(-1)}{\dfrac{1}{2}-(-4)}\times (x-(-4))\\\\y+1=\dfrac{3+1}{\dfrac{1}{2}+4}\times (x+4)\\\\y+1=\dfrac{4}{\dfrac{9}{2}}\times (x+4)\\\\y+1=\dfrac{4\times 2}{9}\times (x+4)\\\\y+1=\dfrac{8}{9}\times (x+4)\\\\9\times (y+1)=8\times (x+4)\\\\9y+9=8x+8\times 4\\\\9y+9=8x+32\\\\8x-9y=9-32\\\\8x-9y=-23

Hence the equation of line is:

8x-9y=-23

5 0
3 years ago
What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters
sammy [17]

Answer:

the height of the prism =3cm

Step-by-step explanation:

From the question :there is 30 square centimeters, we can deduce this is the area due to the unit

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We are to determine the height

90cm³ = 30cm² × height

divide both sides by 30cm²

height = 90cm³/30cm²

height = 3cm

Therefore the height of the prism is 3centimeters

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