Answer:
y' = a(x'- ((h-15)/20))² + -(k-30)
Step-by-step explanation:
Vertex: (h,k)
horizontally translated 15 units left: (h-15 , k)
stretch by a factor of 20: ((h-15)/20 , k)
vertically translated down 30 units: ((h-15)/20 , k-30)
reflected in the x axis: ((h-15)/20 , -(k-30))
Vertex' (h' , k'): ((h-15)/20 , -(k-30))
Equation: y' = a(x'-h')² + k'
y' = a(x'- ((h-15)/20))² + -(k-30)
Can someone help with numbers 1 and 2 for both of them tell me the answer and how you get it
Answer:
Here a = 20,, b= 8
Step-by-step explanation:
Using Pythagoras theorem,
a^2 + 15^2 = 25^2 ,, b^2 + 6^2 =10^2=100
Answer:
a = 20, b = 8
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
(1)
a² + 15² = 25²
a² + 225 = 625 ( subtract 225 from both sides )
a² = 400 ( take the square root of both sides )
a = [tex]\sqrt{400}[/tex] = 20
(2)
b² + 6² = 10²
b² + 36 = 100 ( subtract 36 from both sides )
b² = 64 ( take the square root of both sides )
b = [tex]\sqrt{64}[/tex] = 8
A puppy weighs 4 pounds. Six months later, the puppy weighs 22 pounds. What is the average weight per month?
Answer:
3 pounds per month
Step-by-step explanation:
22-4 = 18
18/6=3
Find the value of the variables
Answer:
Step-by-step explanation:
[tex]\text{Since there are two 45 degree angles.}\\ \\ a=4\sqrt{2}\\ \\ \text{By the Pythagorean Theorem }c^2=a^2+b^2,\text{ and in this case a=b so }\\ \\ c^2=2(4\sqrt{2})^2\\ \\ c^2=2(16)2\\ \\ c^2=64\| \\ c=\sqrt{64}\\ \\ c=8[/tex]
Michèle is buying carpet for a room with the dimensions shown
If a train goes 20 km east then it turns and travels 43 km north then it goes 20 km west then travels south in an unknown number of kilometers and at the end there back in the original location how far did the train travel south
Answer:
Answer is 43 km.
Step-by-step explanation:
Let's draw diagram to solve the problem.
6)a garden was square, but last year she made it makes or shortening one side 5 meters and the other 8 meters. If the area of the smaller garden is 180 m², then what was the area of her square garden
Answer:
let dimention of original garden be x
then (x-8)(x-5) = 180
x^2 -13x -140 = 0
(x-20)(x+7)=0
x= 20 or x = -7
x = 20
original area = (20)^2
= 400 m^2
Find the surface area of the triangular prism shown below.
Answer:
the surface area is 544 square units
Step-by-step explanation:
the tringles first
12 x 8 = 96
base
12 x 14 = 168
sides
10 x 14 x 2 = 280
96 + 168 + 280
im going to break it down
000 + 100 + 200 = 300
90 + 60 + 80 = 230
6 + 8 + 0 = 14
300 + 230 = 530
530 + 14 = 544
The surface area of the triangular prism is equivalent to 330 units square.
What is a triangular prism?A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.
Given is a triangular prism as shown in the image.
We can calculate the surface area of the triangular prism as follows -
A{P} = {2 x A(T)} + {2 x A(R)} + A{B}
A{P} = {2 x 1/2 x 12 x 8} + {2 x 14 x 10} + {14 x 12}
A{P} = 12 x 8 + 2 x 140 + 14 x 12
A[P} = 4{3 x 2} + 2(7 + 6) + 280
A[P} = 24 + 26 + 280
A{P} = 330 units square
Therefore, the surface area of the triangular prism is equivalent to 330 units square.
To solve more questions on prisms, visit the link below -
https://brainly.com/question/11336446
#SPJ2
Please help me
If you move 5 meters south and then move 2 meters north what is the distance and displacement
Answer:
10
Step-by-step explanation:
(2+h)^4 is equal to what
Answer:
16+32h+24h²+8h³+[tex]h^{4}[/tex]
Step-by-step explanation:
The table shows the balance of two accounts each year for four years. Determine whether each balance is linear or nonlinear. Then predict which account will have a greater balance in Year 3.
Year, t Account A Balance Account B Balance
0 $450 $550
1 $504 $570
2 $564.48 $590
Account A Balance is linear. Account B Balance is nonlinear. Account A will have a greater balance in Year 3.
Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3.
Account A Balance is linear. Account B Balance is nonlinear. Account B will have a greater balance in Year 3.
Account A Balance is nonlinear. Account B Balance is linear. Account B will have a greater balance in Year 3.
Account A Balance is nonlinear. Account B Balance is linear. Account A will have a greater balance in Year 3. Then the correct option is B.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
The slope for account A is calculated as,
m = (504 - 450) / (1 - 0) = (564 - 504) / (2 - 1)
54 ≠ 60
Account A is non-linear. The amount after 3 years will be more than $620 ($564 + $60).
The slope for account B is calculated as,
m = (570 - 550) / (1 - 0) = (590 - 570) / (2 - 1)
20 = 20
Account A is linear. The amount after 3 years will be $610 ($590 + $20).
More about the slope link is given below.
https://brainly.com/question/3605446
#SPJ2
Ben wants to have his birthday at the bowling alley with a few of his friends, but he can spend no more than $80. The bowling alley charges a flat feeof $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling. Write an inequality that represents the total cost of Ben’s birthday for p people given his budget.
Answer:
45+5.50p=80
Step-by-step explanation:
45 is the flat fee and 5.50 is the shoe rental and unlimited bowling, so p is next to that because its 5.50 PER person so if ben had 2 people it would be 5.50 times 2 plus 45. But remember it cannot be over 80. please mark brainliest
soylindo del 1 al 10
Answer:
6.5
Step-by-step explanation:
Determine the value of x (Different math problem)
Answer:
X=11
Step-by-step explanation:
5x+9+4x+5+7x-10=180°
5x+4x+7x+9+5-10=180°
16x+4=180°
16x=180°-4°
16x=176
X=11
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade?
The area of the shade is
ft2.
Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade?
The area of the shade is
ft2.
Answer:
24ft.
Step-by-step explanation:
Formula: (LxW)/2
6x8=48
48/2=24
answer; 24
anyone help with this?
can u solve this with the work ?
Answer:
just search up Mathaway in your browser you will get your answer and a step by step explanation!
Step-by-step explanation:
Answer:
156
Step-by-step explanation:
HELP PLS :(
At a closed landfill, trash is decaying at a rate of 50% every 15 years.
Which type of function best models the amount of
trash that is remaining after x years?
linear
exponential
quadratic
cubic
Answer:
I believe it's linear
Step-by-step explanation:
don't quote me on that tho
HELP ME PLEASE!!,I WILL GIVE BRAINLIEST!!I PROMISE:)!!
Answer: C
The denominator is just the number on the bottom. In this case its [tex]2\sqrt{2}[/tex]
Calculate the distance the train will travel in 3/4 hour.
Answer:
what is the speed of the train? if that is miles per hour just figure out what 75% is of that number
Step-by-step explanation:
Help plz im doing homework!!!!!
637m as a fraction of 7.7km
Answer:
637/7700
Step-by-step explanation:
7.7 km = 7700 m
2. Mr. Hoffman has a circular chicken coup with a radius of 2.5 feet. He wants to put a chain link fence around the coup to protect the chickens. Which measurement is closest to the length of fence he will need?
Answer: 15.7ft
Step-by-step explanation:
Answer:
15.7 ft
Step-by-step explanation:
took the test
Which expressions are equivalent to 7x - 14? Check all that apply.
A: 14 - 7x
B: x - 2
C: -(14 - 7x)
D: 7(x - 2)
E: 3x - 14 + 4x
F: 2x - 10 + 5x + 4
Answer:
c
d
e
Step-by-step explanation:
The radius of the base of a right circular cone is 6 yards, and its slant height is 12 yards. If the radius and the slant height are each multiplied by 4, by what factor is the surface area multiplied?
A. 4
B. 8
C. 16
D. 24
Answer:
the correct answer is C
Step-by-step explanation:
i took the test
A scientist illegally introduces new species of honey bees in their labs. The growth of the population of this new species is modeled by the equation below, where x is the time in weeks following the introduction of the species. If the lab contains 450 bacteria after 2 weeks, how many bacteria did the scientist initially create?
A,30
b.40
c.50
d.60
NEED HELP ASAP WILL GIVE BRAINLY
Answer:
The third one
Step-by-step explanation:
4 x 14.4^3 x pi
---------------------
3
7,469.25 to the nearest cent
It already is to the nearest cent. 25 cents.
Answer:
0
Step-by-step explanation:
please help!! will mark brainliest
What is the area of a circle whose radius is 54 feet?
The area is ___ ∏ ft²
Answer:
2916 pi ft
Step-by-step explanation:
Area of a circle: pi r ^2
54^2 = 2916
Hope this helps!
(18x 5 + 6x 4 - 12x 3) ÷ 6x 2
One point on a line is (4, 6). The slope of the line is 3/4. Choose all of the following that could be another point on the line.
a. (0, 3)
b. (-8, -3)
c. (0, -3)
d. (-8, -1)
e. (12, 12)