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lesya [120]
3 years ago
12

Which is the vertex of x2 + 10x = -17 (-5,-8) (5,8) (-5,8) (5,-8)

Mathematics
1 answer:
ad-work [718]3 years ago
4 0

Answer:

vertex = (- 5, - 8)

Step-by-step explanation:

Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

Given x² + 10x = - 17 ( add 17 to both sides )

x² + 10x + 17 = 0 ← in standard form

with a = 1, b = 10, c = 17, then

x_{vertex} = - \frac{10}{2} = - 5

Substitute x = - 5 into the quadratic for the corresponding value of y

y = (- 5)² + 10(- 5) + 17 = 25 - 50 + 17 = - 8

Hence vertex = (- 5, - 8)

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Two semicircles are attached to the sides of a rectangle as shown.
melomori [17]

Answer:

157\ in^{2}

Step-by-step explanation:

we know that

The area of the figure is equal to the area of rectangle plus the area of two semicircles

<u>The area of rectangle is equal to</u>

A=14*5=70\ in^{2}

<u>The area of the small semicircle is equal to</u>

A=\pi r^{2} /2

r=5/2=2.5\ in -----> radius is half the diameter

substitute

A=(3.14)(2.5^{2})/2=9.8125 in^{2}

<u>The area of the larger semicircle is equal to</u>

A=\pi r^{2} /2

r=14/2=7\ in -----> radius is half the diameter

substitute

A=(3.14)(7^{2})/2=76.93\ in^{2}

The area of the figure is equal to

70+9.8125+76.93=156.7425=157\ in^{2}

8 0
3 years ago
Read 2 more answers
PLEASE HELP WITH THIS!!!<br><br><br>solve for h <br><br><br>6/h+=3
seropon [69]
Your answer is h=2.
Explanation:
Divide 6 by 3
6 0
3 years ago
I need help and steps of how u got it
Gnom [1K]

Answer:

A)  4

Step-by-step explanation:

There are a couple of ways to get this but this is how I did it:

1.  Multiply the second equation by 1/4 to get the same fraction for y as the one in the first equation

1/4 x + 1/8 y = 2

1/4 (1/3 x + 1/2 y = 4)

1/12 x + 1/8 y = 1

2.  Subtract the first equation from the new equation

    1/12 x + 1/8 y = 1

<u>    - 1/4 x - 1/8 y = -2</u>

-1/6 x= -1

3.  Divide both sides by -1/6

  <u>-1/6</u> x= <u>-1</u>

   -1/6    -1/6

     x = 6

4. Substitute 4 in for x in the original equation:

1/4 (6) + 1/8y = 2

6/4 + 1/8y = 2

1/8y = 1/2

  y = 4

3 0
3 years ago
Rachel solved 50 problems of her Homework correctly and scored 62.5%. How many problems were there in the Homework?
maria [59]

Answer:

80

Step-by-step explanation:

50 problems/x total = 62.5%

50/62.5=0.8 problem for each percent

0.8 * 100 percent = 80 problems

3 0
3 years ago
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How do you convert fraction to percent
devlian [24]

Answer: dividing

Step-by-step explanation:

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