The width of the given trampoline is 9 feet, and which area is 135 square feet.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The equation w² +6w -135 = 0 can be factored as (w+15)(w-9) = 0.
Therefore, the solutions for w are w = -15 or w=9.
Since the width of the trampoline cannot be negative, we can conclude that the width of the trampoline is 9 feet.
To confirm this, we can calculate the length of the trampoline using the given information that the length is 6 feet greater than the width:
length = width + 6 = 9 + 6 = 15 feet
Then we can verify that the area is indeed 135 ft²:
area = length x width = 15 x 9 = 135 ft²
Therefore, the width of the trampoline is 9 feet.
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Choose the function that correctly identifies the transformation of f(x) = x2 shifted three units to the left and five units up.
og*) = (x - 3)2-5
og(x) = (x - 3)2 + 5
og(x) = (x + 3)2 + 5
o g() = (x + 3)2-5
The functions that correctly identify the transformation of f(x) = x² shifted three units to the left and five units up is
g(x) = (x + 3)² + 5
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The function that correctly identifies the transformation of f(x) = x² shifted three units to the left and five units up is:
g(x) = (x + 3)² + 5
To see why, we can use the following steps:
To shift a function three units to the left, we replace "x" with "(x + 3)".
This is because for any value of "x", "x + 3" represents a point that is three units to the left of "x".
To shift a function five units up, we add 5 to the entire function.
This is because for any value of "x", the value of the function is increased by 5 units.
Combining these transformations, we get:
g(x) = (x + 3)² + 5
This function represents a parabola that is shifted three units to the left and five units up from the original function f(x) = x^2.
Thus,
The functions that correctly identify the transformation of f(x) = x² shifted three units to the left and five units up is
g(x) = (x + 3)² + 5
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What ordered pairs satisfy the function y=2/3+1
Answer:
2345678io90
Step-by-step explanation:
Please help me?
Find the slope of the points given, and show work
(2,4) and (-3,3)
Answer: 1/5
Step-by-step explanation:
Let's find the slope between your two points.
(2,4);(−3,3)
(x1,y1)=(2,4)
(x2,y2)=(−3,3)
Use the slope formula:
m=y2−y1/x2−x1
=3−4/−3−2
=−1/−5
=1/5
Please help me !!
Will give brainliest
Answer:
D) SC+DB=SB
Step-by-step explanation:
D) SC+DB=SB is NOT true
The number of inches in c feet is.
Answer:
this didn't make sense
Step-by-step explanation:
can u explain it again sorry
20. Which expression is equal to 3(5x - 6) - 2(4x + 5)
7x-1
9x - 1
9x - 13
0 7x + -28
What is the distance between points (7,2) and (-4,2) on the coordinate plane?
help? please? maybe?
A.49
B.-49
C.44 2/15
D.-44 2/15
What is the difference between infinite solutions and all real numbers?
Please explain or provide examples.
Willing to give brainliest!!
Answer:
Real numbers are like pi, 4, -3, 1/3, 1.25, -3468374, ......
Infinite solutions are like when you solve a problem and it doesn't work out.
like 2+2 = 3 + 2
4 = 5
It doesn't make sense at all
Hope it helps :)
Which of the following are not polynomials?
Answer:
A, B, C, and D
Step-by-step explanation:
a quadratic function that fits the points (0,5) (2,3) (4,9)
Answer:
Step-by-step explanation:
y=ax^2+bx+c we are given point (0,5) so if x=0, y=c, so c=5. We have two other points
(2,3)(4,9) which gives us
4a+2b+5=3 and 16a+4b+5=9
Subtracting twice the first from the second
16a+4b+5-8a-4b-10=9-6
8a-5=3
8a=8, so a=1, so using 4a+2b+5=3 we get
4(1)+2b+5=3
2b+9=3
2b=-6
b=-3 so our quadratic is
y=x^2-3x+5
How many degrees is -6.2 rotations clockwise
On a map, the distance between New York City and Los Angeles is 31 inches. If the scale of the map is 1 inch: 90 miles , what is the actual distance between New York City and Los Angeles?
4. What does a purchasing power calculator compare?
A. The relative value of a past amount of dollars to a present amount.
B. Nickels and dimes.
C. How many stores you can buy goods from.
D. Checking and savings accounts.
Answer: A
Step-by-step explanation: A power calculator helps show how much the currency has changed therefore showing the past amount to the present amount
cuál es el resultado de 1/3 + 5/6?
Answer:
it will be 1 1/6 or 7/6
Step-by-step explanation:
Hope this helped
Help me please!
If you get it right, I’ll will brainliest u!!
Answer:
A :)
Step-by-step explanation:
Law of Syllogism: q=r r=q
If complementary angles = 90-degree angles, then 90-degree angles = complementary angles
Is y= 4x2 – 2x + 7 linear?
Answer:
yes
Step-by-step explanation:
A bakery makes an equal number of 2 types of pies. This year the bakery made a total of 1,954 pies. How many of each type of pie did the bakery make?
Answer:
977
Step-by-step explanation:
The number of pies of each type is 977.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
Given that,
The total number of pies is 1,954.
Number of types of pie = 2.
Each type of bakery can be found by taking the ratio of the number of pies and number of types of pie as follows,
1954/2
= 977
Hence, the number of each type of pie made by the bakery is 977.
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HELP I NEED HELP ASAP
The side length of a square is represented by the expression 10x-6 centimeters. The side length of the square is doubled and then reduced by 4 centimeters to create the side length of a new square. Which expression represents the area of the new square?
Answer:
D) 400x²-640x+256
Step-by-step explanation:
2(10x-6)-4=20x-16
(20x-16)(20x-16)=
400x²-640x+256
Given that sin 42° ≈0.669, enter the cosine of a complementary angle.
Answer:
0.01167
Step-by-step explanation:
180 - 0.669 = 89.331
complementary angle = 89.331
cos(89.331) = 0.01167
hii please help i’ll give brainliest if you give a correct answer please please hurry it’s timed (it’s not math but nobody’s answering)
Answer:
they are equal and act in opposite directions
Step-by-step explanation:
-3 is a zero for the polynomial:
x^3 + 7x^2 + 16 x + 12
True or False
Answer:
true
Step-by-step explanation:
If x = - 3 is a zero of the polynomial then f(- 3) = 0
f(x) = x³ + 7x² + 16x + 12
= (- 3)³ + 7(- 3)² + 16(- 3) + 12
= - 27 + 63 - 48 + 12
= 0
Since f(- 3) = 0 then x = - 3 is a zero of the polynomial
PLEASE HELP ME I HAVE NO CLUE WHAT THE ANSWER IS PLEASE HELPPP!!!!!!!!
Answer:
I think C
Step-by-step explanation:
oh god sorry if you get this wrong im so sorry.
Help=pts 3and4!!!!!!!!
See picture. If it’s sideways, use the rotate button.
find scale factor, value of x, y & z please
I'm Super Duper Sorry But Unfortunately I Don't Know The Answer I Need Points Because I Have A Timed Test And I Need Answers For My Questions Again I'm Super Sorry I Wish I Could Help But I'm Desperate. : (
How is today's rhinoceros similar to the triceratops dinosaur of long ago? How is it different?
Answer:
Very, very distant relatives. Mammals and dinosaurs branched off from a common ancestor hundreds of millions of years ago. They may both have horns, but triceratops and rhinos are very different. Usually you wouldn't refer to them as “related.”
A triangle has an angle that measures 25. The other two angles are in a ratio of 11:20. What are the measures of those two angles?
Answer:
The measures of the two angles are 55 and 100 degrees.
Step-by-step explanation:
The three interior angles of a triangle always add up to 180.
So if one angle is 25 degrees
180 - 25 = 155
The two other angles must add up to 155.
If the ratio is 11:20
That means there are 31 equal parts between the two angles
So 155/31 =5
Whic means
11 x 5 = 55
20 x 5 = 100
The two missing angles are 55 and 100 degrees.
Hope this explanation helped you!
Write a rule for the linear function shown in the graph.
y = –x + 4
y = x – 4
y = 3x + 1
y = - 4/1x -1
Answer:
Step-by-step explanation:
it doesn't show anything
What is the slope of a line that passes through (1,4) and (-2,6)
Question: The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
Answer:The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
Answer the questions to estimate the probability that the Iceblades will win the game.
1. The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
Write your answer in the space below.
2. Each group represents the 5 shots taken by the other team. To win the game, the Iceblades cannot let the other team score any goals.
For a group to be a success, how many of the 5 shots does the goalie need to save?
Write your answer in the space below.
3. Group 1 is a success. Explain why.
Write your answer in the space below.
4. In this simulation, which groups are successes? How many successes are there in the 10 groups
Step-by-step explanation: