The path of a skateboarder can be modeled by the equation (x – 3)2 = –8(y – 8), where distance is in feet and air resistance is insignificant. If the skateboarder makes a jump from a ramp at x = 0, what is her maximum height and how far is she horizontally from the end of the ramp when she lands?
Maximum height 3 feet; horizontal distance 16 feet
Maximum height 7 feet; horizontal distance 11 feet
Maximum height 8 feet; horizontal distance 11 feet
Maximum height 8 feet; horizontal distance 16 feet
Answer:
Maximum height 8 feet; horizontal distance 11 feet
Step-by-step explanation:
got it right
The maximum height and horizontal distance is required.
Maximum height 8 feet; horizontal distance 16 feet
The given path is [tex](x-3)^2=-8(y-8)[/tex]
If the skateboarder jumps at x = 0 she will land at y = 0. However there will be at horizontal displacement.
[tex](x-3)^2=-8(0-8)\\\Rightarrow (x-3)^2=8^2\\\Rightarrow x-3=\pm 8\\\Rightarrow x-3=8\\\Rightarrow x=11[/tex]
or
[tex]x-3=-8\\\Rightarrow x=-5[/tex]
The distance between -5 and 11 is [tex]11-(-5)=16[/tex]
Middle point would be [tex]\dfrac{16}{2}=8[/tex] from [tex]-5[/tex].
[tex]-5+8=3[/tex]
So, [tex]x=3[/tex]
The maximum height will be
[tex](3-3)^2=-8(y-8)\\\Rightarrow y-8=0\\\Rightarrow y=8[/tex]
The maximum height is 8 feet and the horizontal distance is 16 feet.
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Answer quickly! [tex]x^{2} = 6[/tex]
[tex]x = \pm \sqrt{6}[/tex]
CLASS 6 MATHS!!!! HELP ME PLEASE!!!!!!!
Step-by-step explanation:
[tex] \\ 20. \: \: ( \frac{ - 3}{4} )(4\frac{1}{6} )[/tex]
[tex] \\ = \frac{ - 3}{4} \times \frac{25}{6} [/tex]
[tex] \\ = \frac{ - 25}{8} [/tex]
[tex] \\ = - 3.125[/tex]
[tex] \\ 21. \: \: ( - 3\frac{7}{8} )( - 5\frac{3}{4} )[/tex]
[tex] \\ = \frac{ - 31}{8} \times \frac{ - 23}{4} [/tex]
[tex] \\ = \frac{713}{32} [/tex]
[tex] \\ = 22.28125[/tex]
A photograph has a length that is 6 inches longer than its width, x. So its area is given by the expression x(x+6) square inches. If the area of the photograph is 112 square inches, what is the width of the photograph?
The width of the photograph is __inches.
At the grocery store, 6 pints of ice cream cost $12.54. How much would 40 pints of ice cream cost?
Answer:
$83.60
Step-by-step explanation:
to find the answer you need to know the price of one pint (unit rate) so we divide 12.54 by 6.
12.54 ÷ 6 = 2.09
then we multiply that by 40
2.09 x 40 = 83.60
HELPPPPPPPPPPPP PLEASEEEE
Answer:4
Step-by-step explanation:
Please help me I need help
Who can help me with this entire page?
Answer:
I'm not entirely sure what the question is but every thing under 12.5 is closer to 12, everything 12.5 and upwards like 12.87 would be closer to 13
solve pls brainliest
Answer:
4.5341 < 6.9 < 6.906 < 6.96
Step-by-step explanation:
4.5341 is closer to 0 than 6.96 is.
Please help Giving 15 points
Answer:
you said you're giving 15 points but its 8
Find the next term in the geometric sequence that is calculated with a common ratio of 4 if the current term is 4
Answer:
16
Step-by-step explanation:
Multiply the term (4) by the common ratio (4)
4 * 4 = 16
Please help me figure this out.
katryn owes her father $25.write this number as an integer.
Answer:
-25
Step-by-step explanation:
When you owe someone something, in integers, your answer is in the negative.
Graph the line with slope 1 passing through the point (-3, 1).
Answer:
[tex]y = x + 4[/tex]
Step-by-step explanation:
[tex]1 = 1(- 3 )+ b \\ 1 = - 3 + b \\ b = 4 \: \: \: \: y - intercept[/tex]
Point C is located at ( -6,5). Point D is located at (-2, y). The
* distance between points C and D is 5 units. Find a possible y
value for point D.
Select all possible answers.
Pick up to 0 answers.
А
1
B. 2
C. 5
D. 8
E 9
Answer:
Step-by-step explanation:
yes cdrj
ejkfkj
ennejw
Find g(x) for each x value in the table
Answer:
-2 = -2/7
-1= -1/7
0=0
1= 1/7
2= 2/7
Step-by-step explanation:
it gives you a function of 1/7 so you multiply it by x and u get the g(x) also know as Y
is 0 a natural number or a whole number
Answer:
O is a whole number.
Step-by-step explanation:
Answer:
0 is not a natural number, it is a whole number.
Step-by-step explanation:
Negative numbers, fractions, and decimals are neither natural numbers nor whole numbers. N is closed, associative, and commutative under both addition and multiplication (but not under subtraction and division).
Find the slope and y intercept of the line 3x+2y=-6
Answer:
Step-by-step explanation:
Slope - -3/2
y-intercept- (0,-3)
Help thank you so very much
Answer:
x-0 12
Step-by-step explanation:
i hope cant help p please follow me in brainly and hearts and give me a star
Dilate the figure by the scale factor. Then enter
the new coordinates.
K = 2
Answer:
A = (-6, 4)
B = (2,2)
C = (-2, 2)
Step-by-step explanation:
If a coordinate (x, y) is dilated by a factor of k, the resulting coordinate will be expressed as (kx, ky). Note that each coordinate is multiplied by the scale factor Given the coordinates (-3,2),(1,1)(-1,-1), if they are dilated by a factor of 2, the resulting coordinate will be;
A = (2(-3), 2(2)) = (-6, 4)
B = (2(1),2(1)) =(2,2)
C = (2(-1), 2(-1)) = (-2, 2)
true or false, when graphing a linear Inequality in two variables, the inequality symbol " < " states to use a broken line.
Answer:
Ture I tink
Step-by-step explanation:
Karen is joining a book club. To join, she must buy two books, and then she will get one free book. The following are the prices for the 8 books being offered: A. $29.50 E. $16.25 B. $25.00 F. $19.98 C. $18.00 G. $49.00 D. $39.50 H. $17.98 Karen wants to select her books with the maximum dollar value and yet pay as little as possible. What three books should she select? A) A, C, D
B) A, B, G
C) C, E, H
D) E, G, H
Answer:
the answer are is c,e,h because they have low prices
A city has a population of 280,000 people. Suppose that each year the population grows by 4.75% . What will the population be after 7 years ? Use the calculator provided and round your answer to the nearest whole number.
PLEASE, I need help ASAP !
Answer:
I'm not 100% sure but I think it's C.
it might also be B. it's one of those 2 for sure but I'm like %80 sure it’s C.
Step-by-step explanation:
please let me know if im right or wrong....
What is the slope of 3x+4y=−2?
Answer:
subtract the 3x from one side and put in the other
4y = -3x -2
then divide both sides by 4
y= -3/4x -1/2
so the slope is-3/4
Zaby does 15 Joules of work to push the pencil over 1 meter. How much force did he use?
A car is traveling at a steady speed. It travels 1 3/4 miles in 2 1/3 minutes. How far will it travel in 25 minutes? In 1 hour?
Answer: They would travel 17.25 miles in 23 minutes and 45 miles in 1 hour.
Step-by-step explanation:
If you divide 1 3/4 by 2 1/3 you get. 0.75 which is how far the car will travel each minute and then you can just multiply that number by however many minutes there are.
Unit 3 parallel and perpendicular lines homework 2 please help quickly don’t understand front page
Answer:
this statement is confusing me
Step-by-step explanation:
cause I don't understand it
Find the quotient or 4/5 and 6/7 give ur answer as a fraction in simplest form
Answer:
14/15
Step-by-step explanation:
Let me know if i got it right if not I'm sorry :(
The required quotient would be 14/ 15 which is a fraction.
What is the Quotient?A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.
We have been given that two numbers are 4/5 and 6/7
To determine the quotient or 4/5 and 6/7
⇒ 4/5 ÷ 6/7
⇒ 4/5 / 6/7
Reciprocal the term of denominator,
⇒ 4/5 × 7/6
Apply the multiplication operation,
⇒ 28 / 30
Reduce the above fraction to the simplest form
⇒ 14/ 15
Therefore, the required quotient would be 14/ 15 which is a fraction.
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Quickly answer number 10 text only no fonts (100 points) mark brainliest
25
have a great day! :3
Answer:
Hello again the square root of 625 is 25