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ZanzabumX [31]
3 years ago
7

Y = (x + 3)2 + (x + 4)2 rewritten in vertex form

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0
Vertex form is y=a(x-h)^2+k
expand and combine like terms and complete the square

expand
y=x^2+6x+9+x^2+8x+16
add
y=2x^2+14x+25
completet the square
first move 25 off to side
y=(2x^2+14x)+25
work inside
we need 1 in front of x^2
undistribute 2
y=2(x^2+7x)+25
take 1/2 of 7 and squaer it and add the positive and negative inside
y=2(x^2+7x+12.25-12.25)+25
factor perfec square inside
y=2((x+3.5)^2-12.25)+25
distribute the -12.25
y=2(x+3.5)^2-24.5+25
add
y=2(x+3.5)^2+0.5

add positive and negat
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the volume of a triangular prism is 42 cubic centimeters. what is the volume of a similar prism that is twice as large as large
Dmitriy789 [7]

Answer:

The volume of the similar prism is 336\ cm^{3}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x----> the volume of the larger prism

y----> the volume of the smaller prism

so

z^{3}=\frac{x}{y}

In this problem we have

z=2 -----> the scale factor

y=42\ cm^{3}

substitute and solve for x

x=42(2^{3})=336\ cm^{3}

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2 years ago
PLZ HELP ME!<br> Directions up above the picture<br> **MATH (Algebra)
Vikentia [17]

Answer:

The answer to your question is t = 1.3 s

Step-by-step explanation:

Data

Equation    h(t) = -4.9t² + v₀t + h₀

v₀ = 0 m/s

h₀ = 8 m

t = ?

h = 0 m

Process

1.- Substitute the values in the formula

                  0 = -4.9t² + 0t + 8

2.- Simplification

                  0 = -4.9t² + 8

3.- Solve for t

                 4.9t² = 8

                      t² = 8/4.9

                      t² = 1.63

4.- Result

                      t = 1.27 ≈ 1.3 s

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Answer:

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B.Plate

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Answer:

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Step-by-step explanation:

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