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Aneli [31]
3 years ago
7

A coach gives her players the option of running around their field twice or around their entire stadium once. The following diag

ram shows the field and stadium dimensions on a coordinate grid.
Mathematics
1 answer:
Elodia [21]3 years ago
7 0
Get a call to me when I can do it on Saturday
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Consider h(x)=x^2+8+15. identify its vertex and y-intercept.
OleMash [197]

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, [x = \frac{-b}{2a}, h(\frac{-b}{2a})].

<h3>Use the equation:  [x = \frac{-b}{2a}, h(\frac{-b}{2a})]</h3>

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for <em>a</em> and <em>b</em> into the equation to solve for the x-coordinate of the vertex.

x = \frac{-b}{2a}

x = \frac{-8}{2(1)}

x = -4

Subsitute the value of the x-coordinate into the given function to solve for the <u>y-coordinate of the vertex</u>:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

<h3>Solve for the Y-intercept:</h3>

The <u>y-intercept</u> is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

5 0
2 years ago
9). Four friends earned $4.20 for washing a car. They decided to split the money equally. How much money did each friend get?​
V125BC [204]

Answer:

1.05

Step-by-step explanation:

4 0
2 years ago
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A right triangle has a hypotenuse C=12cm and a an angle A= 30°. find the length of side a, witch is opposite angle A
Alisiya [41]
Use the sin identity to find that side.  Sin(30) = a/12...12 sin(30) = a, and a = 6
7 0
3 years ago
Please help me on this i don’t get it that well
NeX [460]

Answer:

13.75

Step-by-step explanation:

make a ratio between the original lengths, 11 : 5.5

then put the ratio of the enlarged lengths, 27.5 : __

now you divide 27.5 by 11 to find how many times you multiplied the lengths, 2.5.

now you multiply 5.5 by 2.5 giving you the answer of 13.75

7 0
3 years ago
A grocery store sells tangerines in 2/5 kg bags. A customer bought 4 kg of tangerines for a school party. How many bags did he b
Alex777 [14]
10kg bags I believe
8 0
2 years ago
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