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2 years ago

-2x^2 + 4x + 16 in vertex form

Mathematics

1 answer:

Reil [10]2 years ago

6 0

Answer:

y = - 2(x - 1)² + 18

Step-by-step explanation:

- 2x² + 4x + 16 ← factor out - 2 from the first 2 terms

= - 2(x² - 2x) + 16

using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 2x

= - 2(x² + 2(- 1)x + 1 - 1) + 16

= - 2(x - 1)² + 2 + 16

= - 2(x - 1)² + 18 ← in vertex form

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natta225 [31]

Answer:

d. ∆UVW ∼ ∆UWT ∼ ∆WVT

Step-by-step explanation:

Two triangles are similar if the corresponding angle are congruent and if the ratio of the corresponding sides are proportional.

The logic is in three scenarios. The Cases that lead to similarities in a triangle can be expressed as follows

i. If two sides of a triangle are in the same ratio to the corresponding side of another triangle and the included angle are the same.

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2 years ago

The line segment joining A(6, 3) to B(–1, –4) is doubled in length by having half its length added to each end. Find the coordin

mr Goodwill [35]

Answer:

(9.5, 6.5) and (-4.5, -7.5)

Step-by-step explanation:

Let the extended points be A' and B' and add the point M as midpoint of AB

Coordinates of M are:

((6 - 1)/2, (3-4)/2) = (2.5, -0.5)

Now point A is midpoint of A'M and point B is midpoint of MB'

Finding the coordinates using midpoint formula:

A' = ((2*6 - 2.5),(2*3 - (-0.5)) = (9.5, 6.5)
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2 years ago

Need help plz help me out thanks!

Elden [556K]

Answer:

I hope this helps!

Step-by-step explanation:

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2y(2x+3)=4yx+6y

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2 years ago

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Given: 4 < a < 5, 2 Please answer fast!!

vesna_86 [32]

Answer:

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Step-by-step explanation:

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2 years ago

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The playing life of a Sunshine radio is normally distributed with mean LaTeX: \muμ = 600 hours and standard deviation LaTeX: \si

Hitman42 [59]

Answer:

The probability that a radio selected at random will last from 600 to 700 hours is 0.3413

Step-by-step explanation:

The playing life of a Sunshine radio is normally distributed

Mean = $\mu = 600 hours$

Standard deviation = $\sigma = 100 hours$

We are supposed to find the probability that a radio selected at random will last from 600 to 700 hours i.e.P(600<x<700)

Formula: $Z= \frac{x-\mu}{\sigma}$

At x = 600

$Z= \frac{600-600}{100}$

Z=0

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At x = 700

$Z= \frac{700-600}{100}$

Z=1

$P(X$

$P(600$

Hence the probability that a radio selected at random will last from 600 to 700 hours is 0.3413

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3 years ago

-2x^2 + 4x + 16 in vertex form​

-2x^2 + 4x + 16 in vertex form