Which equation is rewritten in vertex form?

Mathematics

1 answer:

Zinaida [17]2 years ago

7 0

(x + 3)^2 + (x + 4)^2
= x^2 + 6x + 9 + x^2 + 8x + 16
= 2x^2 + 14x + 25
= 2(x^2 + 7x) + 25
= 2[(x + 7/2)^2 - 49/4] + 25
= 2(x + 7/2)^2 - 98/4 + 25
= 2(x + 7/2)^2 + 1/2

Its B

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Uv = 8 and wx=5 find the missing measure of a rhombus

Harlamova29_29 [7]

Answer:

TU = UV = VW = WT = 8
WX = UX = 5
XV = XT = √39

Step-by-step explanation:

At first we should know the following about the rhombus

1) All sides are congruent

2) The diagonals are perpendicular and bisects each other.

Given UV = 8 and WX = 5

So, according to (1)

TU = UV = VW = WT = 8

And according to (2)

WX = UX = 5

And ΔWXV is a right triangle at ∠x

So, XV² = WV² - WX² = 8² - 5² = 64 - 25 = 39

∴XV = √39

So, XV = XT = √39

So, the missing measure of a rhombus are as following:

TU = UV = VW = WT = 8
WX = UX = 5
XV = XT = √39

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2 years ago

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Svetradugi [14.3K]

I'm guessing you want to know the circumference of a circle with a 20 yard radius or circumference?

circumference = 2 * PI * radius = 2 * PI * 20 = 125.66

circumference = PI * diameter = PI * 20 = 62.83

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Find the arc length of the following problem:

Harrizon [31]

Answer:

$61.261 {ft}^{2}$