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aleksandrvk [35]
3 years ago
8

A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the

time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent?
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
3 0

Answer:

1.5 - it represents the time in seconds where the ball is highest

Step-by-step explanation:

There are 2 methods of approaching this.

The first method involves graphing, simply place into a graphing calculator and view the vertex. The horizontal line coming down from the vertex is the axis of symmetry (it splits the parabola in half).

The second method is finding the axis of symmetry (vertex) algebraically.

-b/2a is the equation used to find the x term of the vertex, and if we were to substitute our values in, we'd get -48/-32, giving us 1.5

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If a picnic area is located at the midpoint between Sacramento and Oakland, find the distance to the picnic area from the road s
Oxana [17]
First, think this through. If you are 23 miles from Sacramento, and 110 miles from Oakland (I am assuming it is miles since you didn't specify *cough cough*) then the two cities are 133 miles apart (also assuming you are in between them)
23miles + 110miles = 133miles
so, we use the midpoint formula to find our position
\frac{distance}{ 2}
and get 66.5 miles from both Sacramento and Oakland.

Next, we already know the sign is 23 miles away from Sacramento so we can use that distance and our position to figure out how far away the sign is. We use absolute values because distance is always positive.
|our \: position - distance \: of \: sign|

so we get
|66.5miles - 23miles|  = 43.5miles
to double check, use the sign's distance from Oakland.
|66.5miles - 110miles|  = 43.5miles
so, we are 43.5 miles from the sign!

hope this helps

7 0
3 years ago
Simplify this expression.
amm1812

Answer: 0.88

Step-by-step explanation:

Okay -5.37 + 8.14 = 2.77 ( you can simply plug this into the calculator or you could switch the problem around so it’s 8.14 - 5.37, either way you’ll get 2.77)

And then you take 2.77 -1.89 = 0.88

So 0.88 is your answer

7 0
2 years ago
1<br> Which sequence of transformations takes AA to its image, AB ?
lianna [129]

A rigid transformation preserves the dimensions of the image

The option that gives the sequence of transformation that takes ΔB to ΔB is  the option B.

<u>(B) Reflection across y-axis and a translation 2 units down </u>

Reason:

Question: The sequence of transformation that takes ΔA to image ΔB

<em>From a similar question, we have, ;</em>

<em>The vertices of triangle ΔA are; (-8, 9), (-9, 4), (-3, 4)</em>

<em>The vertices of triangle ΔB are; (8, 7), (3, 2), (9, 2)</em>

<em>The options are; </em>

<em>(A) Reflection over the x-axis and 2 units translation down</em>

<em>(B) Reflection over the y-axis and 2 units translation down</em>

<em>(C) 90° rotation after a translation of 2 units down</em>

<em>(D) 90° rotation after a translation of 12units right</em>

Solution;

The length of the base of ΔA = -3 - (-9) = 6

The length of the base of ΔB = 9 - 3 = 6

Therefore, the length s of triangle A and triangle B are equal

The orientation of the base of ΔA and ΔB are both horizontal

The location of the the side that traverses four cells are both furthest from the y-axis, or the vertical

Therefore, ΔB is a reflection of ΔA across the y-axis

We also have;

The base of ΔB is 2 units lower than the base ΔA

Therefore, the correct option is option B, reflection across y-axis and a translation 2 units down

Learn more here;

brainly.com/question/23461633

7 0
3 years ago
-25 - 30 + 2 = pls help
Galina-37 [17]

Answer:

7

Step-by-step explanation:

Do addition first, so 30 plus 2, and then subtract, 32 minus 25. It is seven.

5 0
3 years ago
Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what should the in
Brrunno [24]
Distance traveled should be on y axis
hours should be on x axis
increments should be 5
8 0
3 years ago
Read 2 more answers
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