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NARA [144]
2 years ago
9

HELPPP!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Neko [114]2 years ago
5 0

Answer:

B

Step-by-step explanation:

Because of the exponent in x²

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The answer choices are 11 1 2.48 6
Fudgin [204]

Answer:

The ball reached its maximum height of (11\ yards) in (1\ second).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6

Now factor out the coefficient of the quadratic term:

h(t)=-5(t^2 -2t) + 6

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6

Now take the balancing term out of the parenthesis:

\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))

Simplify:

h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

(1, 11)

8 0
3 years ago
.
stiv31 [10]

Answer:

A

Step-by-step explanation:

Hello There!

The y value of ABC was subtracted by 7 to get to the figure A'B'C'

So the rule for the given transformation would be

(x,y) ---> (x,y-7)

5 0
3 years ago
A rectangular garden is 8 feet wide and 15 feet long. A diagonal path cuts through the entire garden. How long is the path?
iragen [17]

{15}^{2}  \times  {8 }^{2}  = 289 \\  \\  \sqrt{289 }  = 17
7 0
3 years ago
Read 2 more answers
Help me out because I don’t know how to do this and I would really appreciate it.
pshichka [43]

Answer:

it is an interior alternate angle and x= 27

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
six coins in your pocket: 5 cents, 10 cents, 20 cents, 50 cents, $1, $2. How many different sums of money can you make?
TEA [102]

Answer:

You can make 64 different sums (which includes a sum of $0 using none of the coins).

Step-by-step explanation:

The number of sums you can make is equal to:

⁶C₀ + ⁶C₁ + ⁶C₂ + ⁶C₃ + ⁶C₄ + ⁶C₅ +⁶C₆ = 1 + 6 + 15 + 20 + 15 + 6 + 1 = 64

3 0
3 years ago
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