Answers
Answer:
Scale factor = 7
Step-by-step explanation:
Dilation with scale factor to map HEFG to DABC will be,
Scale factor = [tex]\frac{\text{Dimension of Image DABC}}{\text{Dimension of preimage HEFG}}[/tex]
= [tex]\frac{\text{Length of CD}}{\text{Length of GH}}[/tex]
Length of CD = Distance between two points C(0, -7) and D(-7, 0)
= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
= [tex]\sqrt{(-7-0)^2+(0+7)^2}[/tex]
= [tex]\sqrt{98}[/tex]
= [tex]7\sqrt{2}[/tex]
Length of GH = Distance between G(0, -1) and H(-1, 0)
= [tex]\sqrt{(-1-0)^2+(0+1)^2}[/tex]
= [tex]\sqrt{2}[/tex]
Scale factor = [tex]\frac{7\sqrt{2} }{\sqrt{2} }[/tex]
= 7
Related Questions
Find the slope.....................
Answers
Y= 2x-2
When finding slope think “rise over run” implying that when writing it as a fraction the rise would go over the run, this answer for example would be 2/1x because the line rises 2 for every 1 unit it passes. I don’t think you need this large of a explanation but I thought it would help
an ice sculture measures 52 inches and melts continuously by 3% per minute. find the height of a sculpture after 15 minutes
Answers
Answer:
28.6 inches
Step-by-step explanation:
3 percent of 52 is 1.56 so it is melting at a rate of 1.56 inches per minute
15x1.56 is 23.4
52-23.4=28.6 so after 15 minutes the sculpture will be only 28.6 inches tall
Who earns more per hour, and what is his or her pay rate?
Answers
Hope this helps
Have a great day/night
Jerome works as a waiter. He earns $80 each weekend plus 15% in tips on meals served. Jerome served $725 worth of meals last weekend how much did Jerome? earn last weekend?
Answers
Answer:
725/100 X 15 = 108.75
108.75 + 80 = 188.75
weekend = $188.75
Write the equation of the line, in slope intercept form through the following two points
(-9,-1)
(4,0)
Answers
Answer:
y=1/13x - 4/13
Step-by-step explanation:
Just follow the slope intercept form formula-
Formula: y= mx+b
Key:
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
Feel free to ask if you have any questions, hope this helps!(:
As a member of a music club, you can order CDs for $14.99 each. The music club also charges $4.99 for shipment each. The expression 14.99n +4.99 represents the cost of n CDs. Find the total cost for ordering 3 CDs
Answers
Answer:
14.99x3=44.97+4.99=49.96. You will have to pay $49.96 for the three CDs plus the shipping charge.
Step-by-step explanation:
Do my boys got me? Also giving brainliest ! Need D, E, and F
Answers
Answer:
Darn, I could have helped you but I'll leave it to the boys :) goodluck!!
You sell small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candle did you sell? A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.
Answers
Answer:
The number of
Small candles = x = 12 candles
Large candles = y = 16 candles
Step-by-step explanation:
You sell small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candle did you sell? A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.
Let the number of
Small candles = x
Large candles = y
Our system of equations is:
x + y = 28 .......... Equation 1
x = 28 - y
A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.
4x + 6y = 144......... Equation 2
Substitute 28 - y for x in Equation 2
4(28 - y) + 6y = 144
112 - 4y + 6y = 144
- 4y + 6y = 144 - 112
2y = 32
y = 32/2
y = 16 candles
x = 28 - y
x = 28 - 16
x = 12 candles
Therefore:
The number of
Small candles = x = 12 candles
Large candles = y = 16 candles
when a natural number is decreased by 20,the result is 96 times the reciprocal of the number.find the number
Answers
Answer:
let natural no be x
(x-20)=96/x
x²-20x-96=0
x²-24x+4x-96=0
x(x-24)+4(x-24)=0
(x-24)(x+4)=0
either
x=24
x=-4
What are the 5 levels of organization in an ecosystem? Please put them in order from level 1 to level 5.
- biosphere
-Individual organism
-community
-population
-ecosystem
Please help I’m on a test can you place these in order!
Answers
Answer:
Individual |
Population |
Community |
Ecosystem |
Biosphere V
Step-by-step explanation:
Answer:
population
community
ecosystem
biosphere
What is the y intercept of the following equation
3x-2y=4
Answers
Answer: y = -2 + 3/2x
Step-by-step explanation:
1. 3x - 2y = 4 (move the variable to the right of the equal)
1.1. -2y = 4 - 3x
2. y = -2 +3/2x (divide both sides by -2)
I need help with this ASAP and can you explain so i can understand?!
Answers
Answer:
Adult tickets sold = 225
Student Tickets sold = 375
Step-by-step explanation:
Let:
Adult tickets sold = x
Student Tickets sold = y
Total tickets sold = 600
So, we can write: x+y = 600
Total money collected = 3037.50
Cost of 1 Adult ticket = $6.00
Cost of one Student ticket = $4.50
So, we can write: 6x+4.5y=3037.50
Now, we get a system of equations, that if solved we can find values of x and y
Let:
[tex]x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)[/tex]
We can solve using substitution method.
Finding value of x from eq(1) and putting it in eq(2)
[tex]We\:have\\x+y=600\\x=600-y[/tex]
Put in eq(2)
[tex]6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375[/tex]
So, we get value of y = 375
Now put value of y in eq(1) to find value of x
[tex]x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225[/tex]
So, we get value of x = 225
The Tickets sold will be:
Adult tickets sold = x = 225
Student Tickets sold = y = 375
what three ratios are equivalent to 11: 1
Answers
Answer:
33/3
55/5
77/7
When these are simplified, they are equal to 11/1
What is the initial value of the sequence?
Answers
Select all the Intervals where f is increasing
A) -3
B) -1
C) 3.5
D) None of the above
Answers
Answer:
-3<x<-2
And
3.5<x<4.5
Step-by-step explanation:
Work out the volume of this sphere.
Give your answer to 1 decimal place.
4.7 cm
Answers
Answer:
434.9 cm³
Step-by-step explanation:
Volume of a sphere: 4/3πr³
Substitute the information to find the volume.
4/3π(4.7)³ = 434.9
How many solutions does this equation have?
–4s = –10 − 5s
does it have 1 solution or zero or infinity many solutions
Answers
[tex] - 4s = - 10 - 5s \\ - 4s + 5s = - 10 \\ s = - 10[/tex]
Answer Check by substituting s = -10 in the equation.[tex] - 4( - 10) = - 10 - 5( - 10) \\ 40 = - 10 + 50 \\ 40 = 40 \: \: \tiny \boxed{ \green \checkmark}[/tex]
SolutionsNo Solutions
When both sides of equation are different. For example, 3 = 4 which makes the equation false. That means the equation is false for all real numbers, thus having no solutions.
One Solution
A common type solution because you see this type of solution a lot. If you can solve the equation for a variable like x = 2 or s = 0. That's one solution.
Infinitely Many Solutions
When both sides are same like 3 = 3 or 7 = 7. That means the equation is true for all real numbers. You can see this type of solution by solving the equation with same both sides like 3x+2 = 3x+2.
AnswerBecause we can solve the equation for s-term. Therefore the answer is one solution16/x = 2/7 cross multiplication
Answers
Answer:
x=56
Step-by-step explanation:
16 x 7= x * 2
[tex]x=\frac{16 x7}{2}[/tex]
x=56
Hope this helps :)
can anyone answer 7(x+3) and show work ?
Answers
Answer:
7x + 21
Step-by-step explanation:
7(x+3)
7x + 7(3)
7x + 21
step 1: distribute the 7 to ALL the numbers in the parenthesis
7(x)= 7x
7(3)= 21
so your answer= 7x+21
a line passes through the point (-6,-7) and has a slope of 5/2
Write an equation in slope intercept form for this line
Answers
Answer:
Draw a line of a givens point
Alyssa has $75 less than three times Eric. Together they have $905. How much money do they each have?
Answers
Answer:
Alyssa=225
Eric=680
Step-by-step explanation:
The money Alyssa has $660 and Eric has $245.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Alyssa has $75 less than three times Eric.
Let $x be the money Eric had.
Then Alyssa has 3x-75
Together they have $905.
So, x+3x-75=905
4x=905+75
4x=980
x=980/4
x=$245
Money Alyssa has 3x-75
= 3×245-75
= 735-75
= $660
Therefore, money Alyssa has $660 and Eric has $245.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
6a - 3d
When a =1,d=2
Is it 0
3
1
12
Answers
Answer:
0
Step-by-step explanation:
Rhion sat maths and English test
In the maths she scores 14 out of 17
In th english test she scored 31 out of 39
which one did she do better.
Answers
Answer:
Rhion did better in maths test.
Step-by-step explanation:
Given that:
Rhion scored 14 out of 17.
We will find percentage and then compare them.
Percentage = [tex]\frac{Score}{Total\ marks}*100[/tex]
Percentage = [tex]\frac{14}{17}*100[/tex]
Percentage = 82.35%
Rhion scored 31 out of 39.
Percentage = [tex]\frac{31}{39}*100[/tex]
Percentage = 79.48
On comparing,
82.35 > 79.48
Hence,
Rhion did better in maths test.
5. Show 3 different ways on how you can multiply two polynomials to get 30x^3.
For example: 5x^2 - 6x = 30x^3
Answers
15x^2(2x)
5x(6x^2)
-32=-4b
show work please
Answers
Answer: b = 8
Step-by-step explanation: You have to divide (-4) on both sides and -32/-4= 8 so b =8
Answer:
Step-by-step explanation:
-32=4b
divide -4 by both sides
-4/-4=1
-32/-4=8
therefore, b=8
Add.
-7+ (-1) =
need asap
Answers
Answer:
The answer is -8
Please help ASAP i really need help
Answers
Answer:
X= 0
X= -4
x1= -4, x2=0
Step-by-step explanation:
Answer:
Step-by-step explanation:
Write the ratio in simplest form.
Answers
Answer:
1/5
Step-by-step explanation:
Answer:
The answer to the question provided is 3: 15
Please help! If you have any questions please just ask
Answers
Which type of function is shown in the table below?
Answers
Answer:
Linear function
Step-by-step explanation:
None of the X values repeat so its Linear
