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7nadin3 [17]
3 years ago
10

Please help thank you

Mathematics
1 answer:
Gemiola [76]3 years ago
5 0
Question 1:

This is a 45-45-90 right triangle. If the leg length is x, then the hypotenuse length will be x \sqrt{2}.

The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get 8 \sqrt{2}. Thus, the last choice is your answer.

Question 2:

This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of x.
Then, the longer leg will have a length of x \sqrt{3}.
Also, the hypotenuse will have a length of 2x

This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.

Hope this helps! :)
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What is the equation of this parabola in vertex form
attashe74 [19]

first off, let's notice the parabola is a vertical one, therefore the squared variable is the x, and the parabola is opening upwards, meaning the coefficient of x² is positive.

let's notice the vertex, or U-turn, is at (-2, 2)

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \boxed{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{-2}{ h},\stackrel{2}{ k}) \\\\\\ y=+1[x-(-2)]^2+2\implies y=(x+2)^2+2

6 0
3 years ago
Can somebody help me in this question? It would be very appreciated! :)
Fiesta28 [93]

Answer:

see explanation

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = width × length

let width be w then length is 2w + 3 ( 3 more than twice the width ), then

A = w(2w + 3) ← distribute

   = 2w² + 3w

When w = 4 , then

A = 2(4)² + 3(4)

   = 2(16) + 12

    = 32 + 12

     = 44 ft²

6 0
3 years ago
HELP
goblinko [34]

Answer:

9:4

Step-by-step explanation:

4 0
2 years ago
Is perpendicular to OS. is a_____line.
Step2247 [10]
I would answer the problem but first upload the diagram 

6 0
3 years ago
PLEASE HELP,, MARKING BRAINLIEST!!!<br><br> Solve for x
Trava [24]

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

The marked sides are proportional, so we have ...

  x/8 = (x +5)/12

  3x = 2(x +5) . . . . . multiply by 24 to clear fractions

  3x = 2x + 10 . . . . . eliminate parentheses

  x = 10 . . . . . . . . . . subtract 2x

_____

<em>Alternate solution</em>

We observe that the difference between the upper segment lengths is ...

  (x +5) -(x) = 5

and the difference between the lower segment lengths is ...

  12 -8 = 4

This means the upper segment lengths are 5/4 times as long as the lower segments. Then ...

  x = (5/4)(8) = 10

4 0
2 years ago
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