Dilate the figure below with a scale factor of 1.5 centered at the origin and then rotate the figure 90° clockwise about the origin.
Answers
Answer:
Step-by-step explanation:
Vertices of the quadrilateral are (-4, 1), (-3, 2), (-1, 2) and (-2, 1).
If the given quadrilateral is dilated by ta scale factor of 1.5 about the origin.
Rule for the dilation,
(x, y) → (kx, ky) [k = scale factor]
New vertices of the quadrilateral after the transformation will be,
(-4, 1) → (1.5×4, 1.5×1)
→ (-6, 1.5)
(-3, 2) → (-4.5, 3)
(-1, 2) → (-1.5, 3)
(-2, 1) → (-3, 1.5)
Now the new points are rotated by 90° clockwise about the origin,
Rule for the rotation of the points,
(x, y) → (y, -x)
So the new vertices will be,
(-6, 1.5) → (1.5, 6)
(-4.5, 3) → (3, 4.5)
(-1.5, 3) → (3, 1.5)
(-3, 1.5) → (1.5, 3)
We can plot these points on the graph to form a new (image) quadrilateral.
Related Questions
Find the m∠IHQ if m∠IHG is 176° and m∠QHG is 130°
Answers
Sara reduced the time it takes her to run a mile from 8
minutes to 6 minutes. What was Sara's percent decrease
in the time it takes her to run a mile?
A. 14%
B. 25%
C. 33%
D. 75%
Answers
Answer:
25%
Step-by-step explanation:
PLS HELPPP
Are the triangles similar? If they are, identify the similarity ratio.
Answers
Divide the corresponding sides
3/6 = 0.5
5/4 = 1.25
6/8 = 0.75
We get different results, so the sides are not in the same ratio or proportion.
The triangles are not similar.1 over 7 of 2 over 5 is equal to
Answers
Answer:
2/35
Step-by-step explanation:
1 over 7 is 1/7, of means times, and 2 over 5 is 2/5, so 1/7*2/5
Hope that this helps!
-14/2 is = to what number my brain is saying no to math today.
Answers
Answer:
the answer would have to be -7
Dereck spends $3 on breakfast and 5.50 on luch every school day.How much does he spend on breakfast and lunch in a school week (monday-friday)
Answers
Answer:
$42.50
Step-by-step explanation:
3 + 5.5 per day = 8.5
8.5 x 5 days per week = $42.50 per week (mon-fri)
You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation 10x+12y=300 models the total cost, where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts.
Answers
Question:
a. Graph the equation.
b. Twelve students decide they want short-sleeved shirts. How many long-sleeved shirts can you order.
Answer:
See attachment for graph
12 long-sleeved shirts
Step-by-step explanation:
Given
[tex]10x + 12y = 300[/tex]
Plotting the graph:
Set x = 0
[tex]10(0) + 12y = 300[/tex]
[tex]12y = 300[/tex]
[tex]y = 300/12[/tex] --- divide through by 12
[tex]y = 25[/tex]
Set x = 0
[tex]10x + 12(0) = 300[/tex]
[tex]10x = 300[/tex]
[tex]x = 300/10[/tex] --- divide through by 10
[tex]x = 30[/tex]
So, the graph will be plotted using: (0, 25) and (30, 0)
See attachment for graph
Determine y when x = 12
[tex]10x + 12y = 300[/tex]
[tex]10(12) + 12y = 300[/tex]
[tex]120 +12y = 300[/tex]
[tex]12y = 300 - 120[/tex] --- collect like terms
[tex]12y = 180[/tex]
[tex]y = 180/12[/tex] -- solve for y
[tex]y = 15[/tex]
Consider the diagram below.
1) The measure of
2) The sum of m
Answers
Answer:
<a=61 m<c and m<b=90
Step-by-step explanation:
The sum of two numbers is 14 and their product is 45. Represent an equation that could find the two numbers
Answers
5 + 9 = 14
HELP PLSSS 15 points
Big Mitch held 500 pounds in a weightlifting competition. To win the
competition, Big Mitch must add 50 pounds to his best lift. If the variable w
stands for the amount of additional weight Mitch can hold, which of the
following units could apply to that variable?
A. meters
B. gallons
C. pounds
D. inches
Answers
Tell how many solutions each equation would have: one solution, no solutions, or infinitely many solutions. Give a justification for your answer.
3x+6+1=2x+8+2x
Answers
Answer:
One solution
Step-by-step explanation:
X is equal to -1 meaning you can only plug in -1 for this equation to be true and not any other number
I have to finish this by midnight and I forgot how to do this
Answers
which of the following shows the correct meter reading consumed? a.2419KW b.2491KW c.2548KW d.2584KW pls answer thank you
Answers
Answer:
c.2548KW
Step-by-step explanation:
The correct reading of the meter is;
First meter,---2000
Second meter----500
Third meter ------40
Fourth meter -------8
Total 2000+500+40+8 = 2548 kilo watts.
The answer option A,B, and D are not correct because the answers have incorrect meter reading values.
3/8 of the seventh grade students were taking advanced math at the beginning of the year, but seven dropped out by the end of the year. if there were 149 students taking advanced math at the end of the year, how many total 7th grade students are there?
Answers
Answer:
416 I believe.
Step-by-step explanation:
add 7 to 149
divide 156 by 3 to get 1/8 of total.
Get 52 and then multiply by 8 to get 416
Lcm of 6 and 28 pls help
Answers
Answer:
84
Step-by-step explanation:
Because 28•3=84
And 6•14=84
Select all the zeros of the function f(x)=(x+10)(x−5)(x+1).
– 10
– 5
– 1
0
1
5
10
Answers
Answer:
-10, -1, 5
To find the zeros of a function, you have to set each factor to zero in separate equations, and then solve for x.
x+10=0
Subtract 10 from each side
x=-10
x-5=0
Add 5 to both sides
x=5
x+1=0
Subtract 1 from both sides
x=-1
4 times a number equal 5 less than a number times 8.
Answers
Answer:
4n=8n-5
Step-by-step explanation:
Answer:
Let the number be x
As per statement, 7 less than 4 times a number equals 13
4x - 7 = 13
4x = 13 + 7
4x = 20
x = 20 / 4
x = 5
The number is 5
Answer the number is 5
Let us check the correctness of answer by following the statement viz 7 less than 4 times a number equals 13
4 × 5 - 7 = 13
20 - 7 = 13
13 = 13
Means answer is correct
Step-by-step explanation:
which word most closely means: how many parts are out of the whole *
Answers
Estimate.
509 × 36
help plz!
Answers
Answer: ≈20,400
Explanation:
Theoretically, you'd bring 509 up to 510 and 36 up to 40.
510 x 40= 20,400
Sorry if I'm wrong ^^
What property is 6m•1=6m
Answers
Answer:
This equation is a tautology (Something which is always true)
Step-by-step explanation:
Given the function f(x) = 5x -1, what is the value of f(4)?
O 1
019
O4
-1
N
Answers
Put in order from least to greatest {-6, 8, 10, 15}
Answers
Answer:
-6 , 8 , 10 , 15
Negatives are less than positives so they're first
SHOW WORK AND I WILL GIVE BRAINIEST!!! Lisa is making some spiced tea for her mom. The recipe calls for 2.5 cups of sugar for each cup of tea. If she only uses 3/4 cups of tea, how much sugar should she use?
Answers
Answer:
She should use 1.875 cups of sugar
Step-by-step explanation:
Find the ratio by cross multiplying
Answer:
I think it is 0.3
Step-by-step explanation:
Because, 3/4 divided by 2.5= 0.3
Can someone help me out please txt 100 points no problem
Answers
Answer:
trigonometry: a^2+b^2=c^2
7= slant
4= half of base (8/2)
[tex] {7}^{2} + {4 }^{2} = \sqrt{65} [/tex]
[tex] \sqrt{65} = 8.06[/tex]
he is 6.5 so yeah he can fit
Work out the mean of these numbers:
root 27, root 48, root 75
give your answer in the form a root 3 where a is an integer
Answers
Answer:
4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplify the radicals
[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]
[tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]
[tex]\sqrt{75}[/tex] = [tex]\sqrt{25(3)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]
Now mean is calculated as
mean = [tex]\frac{sum}{count}[/tex] , then
mean = [tex]\frac{3\sqrt{3}+4\sqrt{3}+5\sqrt{3} }{3}[/tex] = [tex]\frac{12\sqrt{3} }{3}[/tex] = 4[tex]\sqrt{3}[/tex]
23) 2,747
What’s the quotient
Answers
Answer:
119.434783
Step-by-step explanation:
Long division.
Two complementary angles are in the ratio 7 :11. Find the angles
Answers
Answer:
7x+11x=90
18x=90
x=5
one angle = 35 degrees
another angle = 55 degrees
Step-by-step explanation:
Plzzz help! I’ll give you the Brainliest.
If a sailing ship traveled 100 miles (160 kilometres) a day about how many days would it take to travel between London and New York City? Explain.
Distance: __________
Travel Time: __________
Hint: find the distance between London and New York City first.
Plz tell me the distance and travel time it took.
Thank you!
Answers
Answer: distance: 160 kilometres
travel time:100
Step-by-step explanation:
Answer:
94 days 9400 distance
Step-by-step explanation:
Why is 3+(-5) equal to -2
Answers
Answer:
c
Step-by-step explanation:
Here's an example: 3/5 divided by 7/8.
3/5
_____
7/8
Let's do it WRONG, to see why that's bad. Here's our example, multiplied by something that ISN'T equal to one:
3/5 1 3/5 3/5
_____ * _____ = _______ = ______ = 3/5
7/8 8/7 56/56 1
Multiplying 7/8 by 8/7 turns our denominator into 1, which seems helpful. But it leaves us with the same numerator we started with. Can this be right? Is 3/5 divided by 7/8 equal to 3/5 divided by one, so that 7/8 = 1? Oops, that has to be wrong.
For comparison, here's the RIGHT way:
3/5 8/7 24/35 24/35
_____ * _____ = _______ = _______ = 24/35
7/8 8/7 56/56 1
In this case, what we multiplied by, 8/7 divided by 8/7, is equal to one, because anything divided by itself is equal to one. But 1 over 8/7, which we used up above in the first example, is NOT equal to one, which means that if we use 1 over 8/7, we change our question. We may get an answer, but it won't be the right one.
Camila is competing in a 26-mile race. She runs at a constant speed of 12.5 mi/h. Write an equation in slope intercept form to represent
the distance Camila has left to run after x hours. How many hours will it take her to finish the race?
Answers
Answer:
2.08 or 2
Step-by-step explanation:
26 = 12.5x
y=mx+b
it will approximately take 2 hours, but to be exact, 2.08