Answer:
Step-by-step explanation:
A basketball player stands near the middle of the court and throws the ball toward the basket.
The path of the ball is a parabola. The ball leaves the player's hands at a height of 6 feet above the ground. The
ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.
Write a function to represent the height of the ball in terms of its distance from the player's hands?
Answer:
A function to represent the height of the ball in terms of its distance from the player's hands is [tex]y=\frac{-1}{54}(x-18)^2+12[/tex]
Step-by-step explanation:
General equation of parabola in vertex form [tex]y= a(x-h)^2+k[/tex]
y represents the height
x represents horizontal distance
(h,k) is the coordinates of vertex of parabola
We are given that The ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.
So,(h,k)=(18,12)
Substitute the value in equation
[tex]y=a(x-18)^2+12[/tex] ---1
The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0
So, y = 6
So,[tex]6=a(0-18)^2+12[/tex]
6=324a+12
-6=324a
[tex]\frac{-6}{324}=a[/tex]
[tex]\frac{-1}{54}=a[/tex]
Substitute the value in 1
So,[tex]y=\frac{-1}{54}(x-18)^2+12[/tex]
Hence a function to represent the height of the ball in terms of its distance from the player's hands is [tex]y=\frac{-1}{54}(x-18)^2+12[/tex]
I am thinking of a number x. What algebraic expression represents “eight less than three times this number”?
Answer:
3x - 8
Step-by-step explanation:
We represent the number as x.
We can write it as x - 8 (eight less than this number)
Then we can add 3x - 8 (We add the three times part)
I really need help on this!!
Find the surface area of a rectangle and square units
Answer:
considering you didn't put anything to solve, I can't, but I will explain how
Step-by-step explanation:
basically, you multiple length x width. Considering you said surface area, which is normally used for prisms, you would find the are of the different rectangles and then add them all together if you were to do a rectangular prism.
Which statement describes -1?
Answer:
-1 is part of integer numbers
Step-by-step explanation:
Because its a whole number and it has an additive inverse (which is +/-).
Find X and Y in this figure
Answer:
x = 6
y= 24
Step-by-step explanation:
90+ (3y+18) = 180. reason [being co-interior angle
(15x+30)+10x = 180. reason [being co-interior angle
-3(p+2)=-30 solve for p
Answer:
p=8
Step-by-step explanation:
-3p-6=-30
-3p=-24
p=8
What is the triangle congruence method that proves these triangles are congruent?
Answer:
SAS
Step-by-step explanation:
We know the bisector AB is congruent for both triangles, we know that angle ABD and ABC are both 90, and we know sgements BD and BC are congruent since it says the side length
I really need help on this problem!!
Mr.Allen wants to build a pen as large as possible for his pigs but unfortunately he can’t afford it and can only afford 24 feet of fencing he does not want his pigs to get out so there should be no gaps of holes in the pen
1. What the largest possible pen he can make for his pigs using the fencing he has . Draw out the different fences you can crest on a graph paper
2. What shape provided the largest area for his pigs
Answer:
a rectangle would provide the largest area for the pigs
What are the solutions to lx + 2) = -13?
A. X=15 and 11
B. X=-15 and 11
C. X=-11 and 15
D. No solution
Answer:
B
Step-by-step explanation:
Because -15 + 2 = -13
Evaluate..................
Answer:
Step-by-step explanation:
PLEASE PLEASE HELP ME I WILL GIVE BRAINLIEST
Answer:
D
Step-by-step explanation:
-16p + 37 = 49 -21p
-16p +21p = 49 - 37
5p = 12
p = 12/5
A.
-55 + 12p = 5p + 16
7p = 71
p = 71/7
B.
2+1.25p = -3.75p +10
5p = 8
p = 8/5
C.
-14 + 6p = -9 -6p
12p = 5
p = 5/12
D.
1.5p - 5 + 2.25p = 7 - 1.25p
5p = 12
p = 12/5
Answer:
d
Step-by-step explanation:
ddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
What is this?
5 + 10
Answer: 15
Step-by-step explanation:
A amusement park charges an admission fee of 25.00 and 5.50 for each ride Andy wrote an expression to find the total amount he spent after x number of rides what does the constant term in the expression represent
Answer:
The admissions fee($25)
Step-by-step explanation:
No matter what, the admissions fee stays the same. Your coefficient($5.50) is multiplied by the amount of rides taken(x)
Give the next three terms of each Sequence.
1. 2,9,16,23,30,...
2. 49,44,39,34,29,...
3. 81,27,9,3,1,...
4. 1,4,9,16,25,...
5. 18,14,10,6,2,.....
Is line e perpendicular to line g?
Answer:
Yes.
Step-by-step explanation:
Always.
need help ASAP!!!!!!
The first three terms of an arithmetic sequence are as follows.
- 11, - 16, - 21
Find the next term in the sequence.
Answer:
-26
Step-by-step explanation:
saloman was told the written paper on his science experiment should express measurements in liters. Which shows how to calculate the number of liters if he used 5 cups of water
Answer:
Step-by-step explanation:
Divide 5 by 4.22
Just took the test and this is the right answer
Answer: multiply 5 by 4.22
Step-by-step explanation:
What number is the opposite from 6.8
A. -6.8
B. 8.6
C. 68
D. -8.6
The answer is A. -6.8
Nina's garden is 4 1/5 meters long and 3/qo meters wide. What is the area of Nina's garden?
Answer: 63/50 meters^2 or in mixed number 1 13/50 meters^2
Step-by-step explanation:
area= length x width
length = 4 1/5= 21/5 . multiply the whole number with the denominator 4x5= 20 add 20 with the numerator 20+1=22
width = 3/10
21/5 x 3/10 ( multiply the denominators together)
21x3 / 5x10
= 63/50 meters^2 or in a mixed number 1 13/50 meters^2
(by the way I'm guessing you meant 3/10 and not 3/q0)
PLEASE HELP I DONT WANT TO FAIL
The IQ of 10 adults is measured, and the results are 83, 87, 90, 92, 93, 100, 104, 111, 115, 121. Find the range of the data set. (4 points)
A: 83−121
B: 38
C: 96.5
D: 204
Answer:
B
Step-by-step explanation:
range = biggest - smallest
121 - 83 = 38
range = 38
the correct answer is B: 38, representing the difference between the highest and lowest values in the data set, and it correctly reflects the range of the given IQ scores.
To find the range of the data set, we need to determine the difference between the highest and lowest values in the set. Given the IQ scores of the 10 adults as 83, 87, 90, 92, 93, 100, 104, 111, 115, and 121, the highest value is 121, and the lowest value is 83.
Thus, the range can be calculated as 121 - 83, which equals 38. Therefore, the correct answer is B: 38, representing the difference between the highest and lowest values in the data set, and it correctly reflects the range of the given IQ scores.
Learn more about range here
https://brainly.com/question/28677902
#SPJ2
I feel nice today, Here is 100 points
Answer:
oh well thanks
Step-by-step explanation:
How many solutions does the following equation have?
13x - 8 + 7x – 2 = 11+ 6x -- 14x – 5
STEP BY STEP:
13x - 8 + 7x – 2 = 11+ 6x -- 14x – 5
Combine like terms
20x-8-2 = 20x+11-5
20x-10 = 20x+6
Subtract with -20x on both sides and the result is:
[tex]-10\neq 6[/tex]
The answer is NO SOLUTION
I am a multiple of 6. I am also a multiple of 4. I am less than 30.
Who am I?
Answer:
12 and 24
Step-by-step explanation:
First, we need to list out the common multiples of 4 nd 6, less than 30
[tex]4 = 0.4,8,12,16,20,24,28[/tex]
[tex]6 = 0.6,12,18,24[/tex]
Then, we list out the common multiples
[tex]Common\ Multiple = 12,24[/tex]
Since, only 12 and 24 fall in this category.
Then the number is either 12 or farm
Which of the following shows 2.736 correctly rounded to the tenths place?
Answer:
2.7 is the correct answer
Step-by-step explanation:
Answer:
2.7
Step-by-step explanation:
write 9 and 23 as powers of 3
Answer:
9=3 to the power 2
23 -/
required answer
ny
10 Instructor-created question
10
For the functions f(x)= - 6x +9 and g(x) = 7x + 9 find the following.
09
(a) (fog)x)
Ur (b) (g of)(x)
nalty 25 (a) (fog)(x)=(Simplify your answer.)
tions: 10
(b) (gof)(x)=(Simplify your answer.)
I’m very sorry but I don’t understand
Step-by-step explanation:
PLEASE IN DIRE NEED OF HELP I WILL GIVE BRAINLIEST
The perimeter of rectangle is 48 cm. Find the sides of the rectangle if one of the sides is 12 cm longer than the other.
Answer:
L=W+12
2L+2W=48
2(W+12)+2W=48
2W+24+2W=48
4W=48-24
4W=24
W=24/4
W=6 ANS. FOR THE WIDTH.
L=6+12=18 ANS. FOR THE LENGTH.
PROOF:
2*18+2*6=48
36+12=48
48=48
Answer:
6 cm by 18 cm
Step-by-step explanation:
use x and x+12
2(x) + 2(x+12)=48
2x +2x+24=48
4x+24=48
4x=24
x=6 and (6+12)=18
:)
The Fisher pool has 240 gallons of water and drains 10 gallons every hour. The Howard pool is 360 gallons and drains 40 gallons every hour. At what time will the two pools be the same number of gallons
Answer:
en cuanto la suma de respuesta
Step-by-step explanation:
Que vez de gallinas de =650
in 154 N38 what digit should be replaced to N to make the number divisible by 3,6 and 9?
Answer:
[tex]N = 6[/tex] so that number becomes divisible by 3, 6 and 9.
Step-by-step explanation:
In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that [tex]n = 154N38[/tex], then its sum of digits is:
[tex]x = 1 + 5+4+N+3+8[/tex]
[tex]x = 21+N[/tex] (Eq. 1)
We have to determine which digits corresponds to multiples of three, there are four digits:
N = 0
[tex]x = 21+0[/tex]
[tex]x = 21[/tex] ([tex]3\times 7 = 21[/tex])
N = 3
[tex]x = 21+3[/tex]
[tex]x = 24[/tex] ([tex]3\times 8 = 24[/tex])
N = 6
[tex]x = 21+6[/tex]
[tex]x = 27[/tex] ([tex]3\times 9 = 27[/tex])
N = 9
[tex]x = 21+9[/tex]
[tex]x = 30[/tex] ([tex]3\times 10 = 30[/tex])
We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:
[tex]154038 = 2\times 3\times 25673[/tex]
[tex]154338 =2\times 3\times 29 \times 887[/tex]
[tex]154638 = 2\times 3\times 3\times 11\times 11\times 71[/tex]
[tex]154938 = 2\times 3\times 7\times 7\times 17\times 31[/tex]
It is quite evident that [tex]N = 6[/tex] so that number becomes divisible by 3, 6 and 9.