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algol13
3 years ago
12

Calculate the vertex of the parabola using the equation Please helppp meee :((

Mathematics
1 answer:
koban [17]3 years ago
3 0

FACTOR ALL OF THE EQUATIONS INTO "y = (x-h)^2 + k," AND THE EQUATION'S VERTEX IS (h,k)

10. y = (x+2)^2 - 11 --> (-2, -11)

11. y = -(x-4)^2 + 32 --> (4, 32)

12. y = 3(x-1)^2 - 5 --> (1, -5)

13. y = -2(x+2)^2 + 5 --> (-2, 5)

14. y = 2(x+1)^2 - 1 --> (-1, -1)

15. y = -5(x-1)^2 + 8 --> (1, 8)

16. y = 3(x-3)^2 - 26 --> (3, -26)

17. y = (x+5)^2 - 32 --> (-5, -32)

18. y = -(x-3)^2 + 10 --> (3, -10)

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What is 7.03 as a mixed number or fraction in simplest form​
Alona [7]
7.03 can be converted to 7 3/100.

.03 is the equivalent to 3 hundredths, we know this because it in the hundredths place.
5 0
3 years ago
Please help me i need to finish this i’m tired (please use grid if you can) asap!!!
jasenka [17]

The linear equation is y = 4x - 4

And the graph of the linear equation can be seen in the image below.

<h3>How to graph the last line?</h3>

It seems that you already are good at graphing, so I will try to explain how to find the equation more in detail.

Remember that a general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

In this case, we know that the y-intercept is -4, then b = -4, replacing that we get:

y = a*x - 4

Now we also can see that this line passes through the point (2, 4), this means that if we evaluate in x = 2, the outcome should be y = 4, replacing that we get:

4 = a*2  - 4

4 + 4 = a*2

8 = a*2

8/2 = a = 4

Then the slope is 4, and the linear equation is:

y = 4x - 4

The graph is below.

If you want to learn more about linear functions:

brainly.com/question/4025726

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8 0
1 year ago
Find the volume of a rectangular prism with the following dimension 2cm by 3cm by 4cm
Dafna11 [192]

Answer:

24 cm³

Step-by-step explanation:

V = LWH = 2 × 3 × 4 cm³ = 24 cm³

8 0
2 years ago
Read 2 more answers
Solve the inequality and graph the solution on the line provided.<br> -7x + 8&lt; -6
HACTEHA [7]

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-7x+8<-6  Equation/Question

Step 2

-7x+8<-6  Simplify

-7x+8<-6

Step 3

-7x+8<-6  Subtract 8

-7x<-14

Step 4

-7x<-14  Divide sides by -7

answer

x>2

Hope this helps

7 0
2 years ago
The length of a rectangle is three times its width. if the area of the rectangle is 75 in2, find its perimeter.
UkoKoshka [18]

Answer:

  40 in

Step-by-step explanation:

For a width of w, the length is 3w and the area and perimeter are ...

  A = LW = (3w)(w) = 3w^2

  P = 2(L+W) = 2(3w +w) = 8w

We are given the area, so we can find w to be ...

  75 in^2 = 3w^2

  25 in^2 = w^2 . . . . . divide by 3

  5 in = w . . . . . . . . . square root

Then the perimeter is ...

  P = 8w = 8(5 in) = 40 in

7 0
2 years ago
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