1) The equation below shows the height of a soccer ball, h(d) meter as a function of the
horizontal distance, d meters the ball travels until it hits the ground. The ball is kicked when
it is on the ground. h(d) = -0.025(d – 20)2 + 12
Always make a sketch to begin even if you are not asked to!
a) What is the maximum height of the ball?
b). What is the horizontal distance of the ball from the kicker when it reaches its maximum
height?
c) How far does the ball travel horizontally from when it is kicked until it hits the ground?
Answers
For the given equation
a)The maximum height of the ball is 12 meters.
b)The horizontal distance of the ball from the kicker is 20 meters.
c)The ball travels approximately 32.85 meters horizontally.
What does equation mean?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equal sign (=). The equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solving an equation means finding the value(s) of the variable(s) that make the equation true.
According to the given informationa) The equation is in vertex form, where the maximum height is the y-coordinate of the vertex. We can see that the vertex is at (20, 12), so the maximum height of the ball is 12 meters.
b) The horizontal distance of the ball from the kicker when it reaches its maximum height is the x-coordinate of the vertex. In this case, the vertex is at (20, 12), so the horizontal distance of the ball from the kicker when it reaches its maximum height is 20 meters.
c) To find the distance the ball travels horizontally from when it is kicked until it hits the ground, we need to find the value of d when h(d) = 0. This is because the ball hits the ground when its height is 0. Setting h(d) = 0, we get:
0 = -0.025(d – 20)2 + 12
Solving for d, we get:
(d – 20)2 = 480
d – 20 = ±√480
d = 20 ± 4√30
Since the ball is kicked when it is on the ground, we only consider the positive value of d:
d = 20 + 4√30
Therefore, the ball travels approximately 32.85 meters horizontally from when it is kicked until it hits the ground.
To know more about the equation visit
brainly.com/question/26123863
#SPJ1
Related Questions
rename this mix fraction 3 1/2
Answers
Answer:
Step-by-step explanation:
In decimal form it’s 3.5 but if you want a fraction it’s 7/2 hope this helped you sorry if it isn’t what you where looking for
Answer:
it could be 3.5 because 1/2 is half of one whole so yea haha.
AFTER allowing 4 % discount on the marked price of an article there is a profit of 20 % if the cost price of the article is RS 800 find marked price ? plz plz plz plz plz saw plz
Answers
Answer:
Rs. 1000Step-by-step explanation:
Let the marked price is x
Discount 4% ⇒ x - 4% = 0.96xCP = Rs. 800 Profit after discount = 20%SP = 800 + 20% = 800*1.2 = Rs. 960Now we have below equation:
0.96x = 1.2*8000.96x = 960x = 960/0.96x = 1000MP is Rs. 1000
can someone answer these pls
Answers
Answer:
Exponential
Step-by-step explanation:
The y values are going up by a factor of 2 as x increases.
brainliest?! plzzzzzzzzzzz
Answers
Answer:
F
Step-by-step explanation:
she spins it 2 times and there's 4 different spinners on the board
there's 1 * on the board so
* = 1/4
there's 1 & on the board so
& = 1/4
its 1/4 for both
so 1/4 + 1/4 = 2/8 or .25
2/8 = 1/4
Answer:
f
Step-by-step explanation:
Will give brainlyist :D
Answers
Answer:
[tex] \boxed{80}[/tex]
What is the simplest form of the expression
Answers
please help. thanks.
Answers
Of a total of 6,000.00, part was invested at a simple interest rate of 8% and part at 7% if the total interest income for one year was $46.00, how many was invested at 7%
Answers
Answer:
g786
Step-by-step explanation:
876
convert 0.025 days to seconds
Answers
Answer:
2,160 seconds
Step-by-step explanation:
Factor each expression: 28 - 7x
Answers
Answer: 7*(x-4)
Step-by-step explanation: Since we have 28=7*4 we can write
7x-28=7*(x-4)
pls help look at the photo above
Answers
Answer:
G = 18.75
Step-by-step explanation:
A. 12.5 * 7.5 = 93.75
B. 10 * 7.5 = 75
93.75 - 75 = 18.75
What is the mode of the following list of numbers:
\left\{3,4,4,5,6,7,7,7,8,9\right\}{3,4,4,5,6,7,7,7,8,9}
8
5
7
6
Answers
Answer: Your answer is 6
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
B. both the median and interquartile range of math is larger than science
Step-by-step explanation:
Math: 41, 82, 87, 88, 90, 93, 94, 94, 99
Median: 90
Interquartile range: 9.5
Science: 71, 75, 75, 77, 78, 79, 79, 81, 82
Median: 78
Interquartile range: 5
C.) Answer the following question.
a) Who is speaking in the first stanza
Answers
the witches from mecbeht
Answer:
where is the poem???????????,?????
2/5 meters converted to centimeters
Answers
Which table of ordered pairs represents a proportional relationship?A x-2 4 6 у 4 16 36 B x 4 6 8 y 8 -12 -18 C x-3 -5 -7 y 5 3 1 D x-3 -6 -9 y 12 24 36
Answers
9514 1404 393
Answer:
D x-3 -6 -9 y 12 24 36
Step-by-step explanation:
The relationship is proportional when the ratio of y to x is the same for all table entries. In selection D, that ratio is ...
12/-3 = 24/-6 = 36/-9 = -4
Alexis is making goodie bags for her birthday party. She has made 12 bags already.
If this is 60% of the total number of goodie bags that Alexis has to make, how many
total goodie bags does Alexis need to make for her party?
Answers
Needs 20 characters
Pls hyelp. Me needs hyelp palease . Preciate it. Hehehehehehehehehe
Answers
Answer:
Step-by-step explanation:
You want to factor out perfect squares if they exist.
[tex]1.\ \sqrt{36}=\sqrt{6^2}=6\\ \\ 2.\ \sqrt{40}=\sqrt{2^2(10)}=2\sqrt{10}\\ \\ 3.\ \sqrt{75}=\sqrt{3(5^2)}=5\sqrt{3}\\ \\ 4.\ \sqrt{120}=\sqrt{2^2(30)}=2\sqrt{30}\\ \\ 5.\ \sqrt{84}=\sqrt{2^2(21)}=2\sqrt{21}\\ \\ 6.\ \sqrt{48}=\sqrt{4^2(3)}=4\sqrt{3}[/tex]
1. How many one third cup servings are in 6
cups of persons?
Answers
Step-by-step explanation:
If the contents of one cup are split up into 3 equal parts, each will be one third of the cup. Each cup has three thirds, Therefore in 6 cups there will be six times as many thirds. We can also calculate by dividing.
I hope it's helpful!
if the side lengths are 9, 12, and 15, is this a right triangle?
Answers
Combine the like terms to simplify x + 4 - 5x - 2
Answers
Answer:
-1
Step-by-step explanation:
what you would start by doing is subtract x from 5 which gives it -6x. then, you would add the 2 to the 4 which cancels out the negative 2. so it should look like 6=-6x, then you would divide 6 by -6 which gives your answer as -1
What is the absolute value of -8.2
Answers
|-8.2| then it becomes 8.2, the only difference it makes is it’s positive now
20% of what number is 24
Answers
Answer:
20% of 120 is 24.
Step-by-step explanation:
i need to write 20 letters
Sam is saving for a guitar. He already has $50 saved and intends to save $30 each week. At week 12, how much money will Sam have saved?
Answers
Answer:
$50 + ($30 x 12) = $410
Step-by-step explanation:
Answer:
$410.00
Step-by-step explanation:
How long will it take to travel 432 kilometres at an average speed of
96 kilometres per hour?
Answers
Answer:
4.5hr
Step-by-step explanation:
v=s/t
t=s/v
432km/96km/hr
4.5 hr
km will will cancelled out
The time taken to travel 432 Km at an average speed of 96 Km/h is 4.5 h
What is average speed?Average speed is defined as the total distance travelled divided by the total time taken to cover the distance.
Average speed = Total distance / total time
How to determine the timeTotal distance = 432 KmAverage speed = 96 Km/hTime =?Average speed = Total distance / total time
96 = 432 / time
Cross multiply
96 × time = 432
Divide both side by 96
Time = 432 / 96
Time = 4.5 h
Learn more about speed:
https://brainly.com/question/680492
Move the dot to the number that equals 7 X
6
+
+
10+
+
6
+
7
0
1
4
9
نه او
+10
о сл
ol
6
6
R
Answers
Answer:
the answer is 21
Step-by-step explanation:
[tex]( \frac{8}{11}) {}^{7 - 2 \times 3 - 1} [/tex]
find the answer
Answers
Answer:
1
Step-by-step explanation:
[tex](\frac{8}{11})^{7- 2*3 - 1} = (\frac{8}{11})^{7- 6 - 1}\\\\=(\frac{8}{11})^{7- 7}\\\\=(\frac{8}{11})^{0}\\\\=1[/tex]
Which number represents the sum of -8 and -i?
8i
-8i
-8-i
-8 + i
Answers
Answer:
c
Step-by-step explanation:
edge
For questions 7 - 12, solve the problem, expressing your answer using the correct number of
significant figures.
Answers
Answer:
93.1
24.83
24.13
2755
12.75
0.151
Step-by-step explanation:
Given :
21.1 + 45.99 + 26.0 = 93.09
15.55 + 21.61 - 12.333 = 24.827
14 + 0.8 + 9.33 = 24.13
14.5 * 190 = 2755
5.1 * 2.5 = 12.75
0.15 ÷ 0.991 = 0.151
Determine this one algebraically
Answers
Answer:
x = 5
y = 5
Step-by-step explanation:
In this question you need to solve one equation in order to plug the value into the second one and solve it as well. Lets start with the top one...
2x - x = 5
1x = 5
x = 5
Now we plug that value of x into the second equation
4x - 2y = 10
4(5) - 2y = 10
20 - 2y = 10
-2y = -10
y = 5
Finally, we can see that both x and y have a value of 5.