) The number of TVs sold increased from 70 to 98
Work out the percentage increase.
Trapezoid ABCD has vertices A(-5,9) B(-2,9) C(-8,0) D(1,0) after a translation of 2 units right and 3 units down followed by a dilation with a scale factor of 2/3. What are the vertices of trapezoid RSTU
Answer:
(-2,4), (0,4), (-4,-2) and (2,-2)
Step-by-step explanation:
Given
[tex]A = (-5,9)[/tex]
[tex]B = (-2,9)[/tex]
[tex]C = (-8,0)[/tex]
[tex]D = (1,0)[/tex]
[tex]Translation: 2\ units\ right\ \& \ 3\ units\ down[/tex]
[tex]Dilation: \frac{2}{3}[/tex]
Required
Determine the vertices of the image RSTU
When a coordinate (x,y) is translates b units right, the new coordinate is: (x + b, y)
So, translation 2 units right gives:
[tex]A = (-5,9)[/tex] ---> [tex]A' = (-5 + 2,9) = (-3,9)[/tex]
[tex]B = (-2,9)[/tex] ---> [tex]B' = (-2 + 2,9) = (0,9)[/tex]
[tex]C = (-8,0)[/tex] ---> [tex]C' = (-8 + 2,0) = (-6,0)[/tex]
[tex]D = (1,0)[/tex] --- > [tex]D' = (1 + 2,0) = (3,0)[/tex]
When a coordinate (x,y) is translates b units down, the new coordinate is: (x, y-b)
So, translation 3 units down gives:
[tex]A' = (-3,9)[/tex] ---> [tex]A" =(-3,9-3) =(-3,6)[/tex]
[tex]B' = (0,9)[/tex] --> [tex]B" =(0,9-3) =(0,6)[/tex]
[tex]C' = (-6,0)[/tex] --> [tex]C" =(-6,0-3) = (-6,-3)[/tex]
[tex]D' = (3,0)[/tex]--> [tex]D"=(3,0-3) = (3,-3)[/tex]
Lastly, dilation of 2/3 gives:
[tex]New = Old * \frac{2}{3}[/tex]
[tex]R = (-3,6) * \frac{2}{3} = (-2,4)[/tex]
[tex]S = (0,6) * \frac{2}{3} = (0,4)[/tex]
[tex]T = (-6,-3) * \frac{2}{3} = (-4,-2)[/tex]
[tex]U = (3,-3) * \frac{2}{3} = (2,-2)[/tex]
Hence, the coordinates of RSTU are: (-2,4), (0,4), (-4,-2) and (2,-2)
What is th square root of 45, trying to figure it out on my calculstor but I cant find the sqaure root sign
Please help it’s due today
Answer:
[tex]\sqrt{57}[/tex]
Step-by-step explanation:
Pythagorean Method
HELP DUE IN 5 MINS!
Finish the proof.
What is reason 1?
CPCTC
Reflexive Property
Vertical Angles Theorem
SAS Postulate
AAS Postulate
HL Theorem
ASA Postulate
SSS Postulate
Definition of Midpoint
Given
Definition of Perpendicular
Definition of Congruence
Answer:
The reasons:
1. Given2. Reflexive Property3. AAS Postulate4. CPCTC 8c 2– c + 3 + 2c 2– c + 2
Answer:
First, let me rewrite the problem as I see it:
Step-by-step explanation:
8c(2) - c + 3 + 2(c + 2) - c + 2
=
16c + 9
Answer:
10 c to the second power -2c+5
Step-by-step explanation:
Need help ASAP giving 35 points and a branleist to the people who solve this right
Help me with my math please!!!!
Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught about math in it so it might help you.
factorise fully 12x - 8
Answer:
4(3x-2)
Step-by-step explanation:
Have a great day :)
6th grade math help me pleaseeee
Answer:
87
Step-by-step explanation:
Here g is equalling -1, so substitute -1 for g in the equation. The equation is now 59 - 28(-1) = blank. Multiply 28 by -1 to get -28.
The equation is now 59 - (-28). There are two negatives in a row, so that becomes a plus sign. That makes it 59 + 28. Simply add to get 87 as your answer.
A = 27 + 0.3 C
The maximum amount of potassium chloride, AA, in grams (gg), which can be dissolved in 100g of water at CC degrees Celsius is given by the equation above. Which of the following is the best interpretation of 0.30 as shown in the equation above?
Group of answer choices
Approximately 0.3 grams of potassium chloride can dissolve in nearly frozen water.
The maximum amount of potassium chloride that can dissolve in water at all temperatures is 0.3 grams.
The amount of potassium chloride that can dissolve in water increases by 1 gram for an increase of 0.3 degrees Celsius in temperature.
The amount of potassium chloride that can dissolve in water increases by 0.3 grams for every 1 degree Celsius increase in temperature.
Answer:
Step-by-step explanation:
Divide 27 by 0.3 to get your answer
Answer:
27.30 because your basically adding 30 as in cents.
Step-by-step explanation:
Randy bought 30 marbles. 40% of them are blue. How many blue marbles are there
Answer:
12 are blue, I hope it helps!
Help!! I don’t know the answer
How do you solve the equation: 7x = 26
Divide by 7 on both sides
Divide by 26 on both sides
Multiply by 7 on both sides
Multiply by 26 on both sides
Answer:
Divide by 7 on both sides
Step-by-step explanation:
7x is a coefficient so you divide by 7
What type of pattern do exponential functions have
Graphical
Step-by-step explanation:
They have graphical pattern
Find three consecutive even integers such that the sum of the smallest and twice the
second is 20 more than the third. PLEASE SHOW THE WORK ILL GIVE BRAINLIEST
Answer:
10,11,12
Step-by-step explanation:
X+x+1+x+2
X+2(x+1)=x+2 + 20
X +2x+2 = x+22
3x+2 = x+22
2x +2 = 22
2x = 20
X = 10
Numbers are 10,11,12
Double checking 10+2*11 = 32
12+20 = 32
So it works
A set of 3 consecutive odd intergers sum to 249 what is the greatest interger
Answer:
85
Step-by-step explanation:
What id id was divide 249 by three, then add to two the number and subract two, then you could add the odd numbers you got each time to get 249.
249/3=83
83+2+85
83-2=81
81+83+85=249
can someone help answer this?
Write the equation of the parabola in vertex form.
Vertex:(4,4)
Point :(2,-8)
Answer:
Step-by-step explanation:
y = a(x-4)^2 + 4
Plug in (2,-8) and solve for a:
-8 = a(2-4)^2 + 4
a = -3
y = -3(x-4)^2 + 4
find the value of x:
151° Have a great day/night!
The bases of a trapezoid have lengths of 10 feet and 22 feet. Find the length of the midsegment of the trapezoid?
Ohnny loves hats and has collected them for years. 1/4 of his hats are baseball hats and 5/8 of his hats are fishing hats. What fraction of his hat collection is baseball hats or fishing hats?
Answer:
the letters of the
Step-by-step explanation:
A blueprint has a rectangle with length of 12 inches and width of 8 inches. The actual dimensions of the rectangle are 96 feet by 64 feet. What was the scale used
The scale used is 1 inch : 8 feet.
What is the scale?The blueprint is a smaller version of an original larger image. The scale would be used to reduce the size of the actual dimensions of the rectangle.
In order to determine the scale, divide the actual dimensions of the rectangle by the dimensions of the rectangle. #
Scale = 96 feet / 12 inches = 8
64 feet / 8 inches = 8
This means that the scale is 1 inch represents 8 feet.
To learn more about scale drawings, please check: https://brainly.com/question/26388230
#SPJ1
can someone help i’ll mark brilliant
Answer: 1.32 x 10^4
Step-by-step explanation:
6. If g(x) = (x + 5)2 - 12, what is the value of g(-7)?
Answer:
g(-7) = -16
Step-by-step explanation:
g(-7) = (-7 + 5)2 - 12
= -2(2) - 12
= -4 - 12
= -16
Ms.Keller is racing bob to see who can read the book faster. the book has 342 pages ms. Keller has already completed 300 pages. If she reads 2 pages per min how mint min will it take her to Finnish the book
Answer:
21 minutes
Step-by-step explanation:
Ms.Keller is speed reading a book that has 342 pages, she has already completed 300 of them and can read 2 pages per minute. The question is asking how long it'll take her to finish this book.
So we know the vital information that Keller reads two pages per minute and she only has 42 pages left of the book, this is all we need to answer the question.
All we need to do is divide 42 by 2 :
42 / 2
21
Therefore, it'll take Ms.Keller 21 minutes to finish the book at the constant speed
If 3 centimeters is equal to 30 millimeters, how many centimeters are in 140 millimeters?
Answer:
14
Step-by-step explanation:
divide by 10
Answer:
14
Step-by-step explanation:
You have the proportion:
3 cm: 30 millimeters
divide both sides by 3
1 cm: 10 millimeters
Then, multiply both sides by 14
14cm: 140 millimeters
So 14 centimeters are in 140 millimeters
The histogram shows the number of cell phone calls received by Medera, a middle school student, on 10 a.m. to 10 p.m. Cell Phone Calls 12 10 Numberof calls 6 4 2 O 10 a.m. - 11:59 a.m. 12 p.m.- 1:59 p.m. 2 p.m. - 4 p.m. - 3:59 p.m. 5:59 p.m. Time of Day 6 p.m.- 7:59 p.m. 8p.m. - 9:59 p.m. Which statement most reasonably explains the hours when zero calls were received
Answer:
A. Medera turned the phone off while playing in the soccer game
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Hope this helps :)
I need help with this equation -6х- 7 = 4x - 2
Answer:
X= -2
Step-by-step explanation:
Answer:
yes it is X= -2
A rectangle has a perimeter of 64.
Let x equal the width of the rectangle.
Let y equal the area of the rectangle.
Which equation can be used to find the area of the rectangle?
A. y = x² - 64x
B. y = -x² + 64x
C. y = x² - 32x
D. y = -x²+ 32x
Answer:
You can use option (D) to find the area of rectangle
(D) y = - x²+32x
Step-by-step explanation:
If you can substitute your values you can find your answer
THANK YOU....
PLZZ GIVE ME A BRAINLIEST TAG
The expression for the given rectangle with width x and area y is[tex]y = -x^{2} +32[/tex]
it is given that
area of the rectangle = y
width of the rectangle = x
so the length of the rectangle will be = area/width = [tex]\frac{y}{x}[/tex]
perimeter = 64
What is the perimeter of a rectangle?Perimeter is the sum of all four sides of the rectangle.
we can say that,
2(length + breadth) = 64
[tex]2( \frac{y}{x} + x)=64\\\\[/tex]
[tex]\frac{y}{x} + x= 32[/tex]
[tex]\frac{y + x^{2} }{x} = 32[/tex]
[tex]y+x^{2} = 32x[/tex]
[tex]y = -x^{2} +32[/tex]
therefore, the expression for the area of the rectangle,
[tex]y = -x^{2} +32[/tex]
to get more about rectangles refer to the link,
https://brainly.com/question/25292087