If triangle ABC is defined by the coordinates A(-4,-4), B(2,-2), C(0,4) is dilated by a scale factor of 1/2, with resulting vertex A’ at (-2,-2). What is the center of the dilation?
A. (0,0)
B. (0,2)
C. (0,4)
D. (-4,-4)
A
Step-by-step explanation:
the origin, (0, 0)
For center of dilation Q, the image of a point A after dilation by a factor of k is ... A' = kA + (k-1)Q Then for points A, A', and dilation factor k, the center of dilation can be found to be ... (A' -kA)/(k-1) = Q
Here, that is ... Q = ((-2, -2) -(1/2)(-4, -4))/(1/2 -1) = (0, 0)/(-1/2)
Q = (0, 0)
Set up an algebraic equation then solve. 1. When 3 is subtracted from the sum of a number and 10 the result is 2. The sum of 3 times a number and 12 is equal to 3. Find the number. 3. Three times the sum of a number and 6 is equal to 5 times the number. Find the number. 4. The width of a rectangle is 4 inches less than its length. If the perimeter measures 72 inches, find the dimensions of the rectangle. 5. The perimeter of a square is 48 inches. Find the length of each 2. Find the number. side.
Answer:
( x+10)-3= 2
x+10= 5
x= -5
3x+12= 3
3x= -9
x= -3
3( x+6 )= 5x
3x+ 18 = 5x
2x= 18
x =9
w= l-4 y= x-4
perimeter= 2l+ 2w
2(2x) + 2( x-4)
4x+2x-8 = 72
6x= 72+8
6x= 80
x= 13.3 width = 9.3 length = 13.3
4x=48
x = 12
each 2= 24
Alistar is going to build fence around the outside of his garden
a) draw an accurate scale drawing of the garden using a ruler and compasses.use scale 1 cm to 2m
b) how long the fence be?
Answer:
32+[tex]\sqrt{200}[/tex]
Step-by-step explanation:
First - one side is 10m and other one is 16, so adding this 26m
Second-hypotenuse is sqrt of 10*10+10*10.
Third- Remainder is 16-10 because that is isosceles triangular.
Figures A and B at right are similar. Assuming that figure A is the original figure, find the scale factor and find the lengths of the missing sides of figure B
A 4 sided polygon, labeled A, with sides labeled as follows: left, 15, top, 12, right, 18, bottom, 20. A smaller, 4 sided polygon, labeled b, oriented the same way, has left side labeled: 3.
Answer:
Left 3, top 2.4, right 3.6, bottom 4. Scale factor 5
Step-by-step explanation:
Find the equation ( in slope - intercept form ) of the line with the given slope that passes through the point with the given coordinates . slope : 4/3 ordered pair : (1, 4)
help pls!
Answer:
y = 4/3x +8/3
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
For the given point and slope, this is ...
y -4 = 4/3(x -1)
Adding 4 and eliminating parentheses, you have ...
y = 4/3x -4/3 +4
y = 4/3x +8/3
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks
Mrs. McMillan, the PE, teacher, is pairing off students to race against each other. Heather can
run 4 meters per second, and Erin can run 5 meters per second, Mrs. McMillan decides to give Heather a head start of 23 meters since she runs more slowly. Once the students start
running, Erin will quickly catch up to Heather. How far will Erin have to run? How long will
that take?
Please help.
Answer:
23 seconds later Erin will catch up
Erin will run 115 meters
Step-by-step explanation:
23+4x=5x
x=23
23 seconds later Erin will catch up
Erin will run 115 meters
Really need help pls ty
Answer:
1: Yes, because 20 divided by 5 is 4, meaning that he would have 16 dollars left
2: They are at each exibit for 51 min
Hope this helps: :)
simplify [tex]y^{-3}[/tex]y^-3
Answer:
[tex]\frac{1}{y^{3} }[/tex]
Step-by-step explanation:
What is 2-b/3=-5/2
Please explain thoroughly and only explain the 2-step version
Answer:
b = 13.5
Step-by-step explanation:
2 -b/3 = -5/2
im assuming we want to find b. therefore we want b = something. so because b is on top of a fraction right now, I will multiply both sides by 3 so -b is not on top of a fraction anymore.
6 -b = -15/2
we should get rid of the divided by 2 on the other side too, to make it easier. we can do this by multiplying 2 on both sides.
12 - 2b = -15
remember, we want to isolate b. so first we should get rid of the 12 next to the 2b. we can do this by subtracting 12 on both sides!
-2b = -27
finally, we can divide both sides by -2 and b will be isolated!
b = 13.5
ask me if you have anymore questions!Ashleigh bought 5 chocolate eggs for $1.00 EACH and a
basket for $1.79. How much did she spend?
Answer:
The answer is 6.79 dollars
Step-by-step explanation:
The answer is 6.79 dollars because 5 times 1 (she bought 5 eggs for 1 dollar each) + the added basket 1.79 equals $6.79
I need help! Whoever can solve this I'll give you the brainliest!
Answer:
it should be 21 if I did this right.
Step-by-step explanation:
you multiply the width times the length (6 × 7) =42 then 882 divided by 42 to get 21
help help help meeee
Answer:
122
Step-by-step explanation:
since line m and line n are parallel the sum of the angles is equal to 180 degrees
58 + x = 180 subtract 58 from both sides
x = 122
hello please help me
Answer:
I think it is 249 for the first one and the second one i dont know sorry
Step-by-step explanation:
Sandra signed up for the gym during the spring special.
Her credit card was charged $220.87. Is this the correct amount? Explain.
A sign that says workout jazz spring special. Sign up now and get 12 months for just 16 dollars and 99 cents per month asterisk. The asterisk is given as paid in advance.
No; the gym should have only charged Sandra $16.99.
No; the gym charged Sandra $16.99 less than it should have.
No; the gym charged Sandra $16.99 more than it should have.
Yes; the gym charged Sandra the correct amount.
Answer:
yes the gym charged Sandra the correct price
A firm has the following fixed proportion production function q = min(k, 2l). a. Find the firms long-run total, average, and marginal cost functions. b. Suppose that k is fixed at 20 in the short run. Calculate the firms short-run total, average, and marginal cost functions. c. Suppose v = 1 and w = 3. Calculate this firms long-run and short-run average and marginal cost curves. Q4. A firm’s production function is given by q = 2z1 + 3z2. Given the input prices, w1 for z1 and w2 for z2. a. Find the input demands z1 and z2 minimizing the cost of producing the level of output q. b. Find the cost function for producing the level q.
Answer:
I think its right
Step-by-step explanation:
a) In the long run, we have, 5k=10 and k=2l Thus, C=2l+3l= 5l=0.5q Thus, AC=5l/10l =0.5 MC=0.5 b) In the short run, k=10 Q=min(50,10l) If l<5, q=10l. C=10+3l= 10+0.3q Thus, AC=10/q + 0.3 If l>5, q=50. C= 10+3l AC= (10+3l)/50 If q>50, then MC...
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answer:
Step-by-step explanation:
Someone help, thanks
Answer:
i speak very little english sorry
Step-by-step explanation:
1. Bianca can walk 5/6 of a mile in 1/3 of an hour. What is her walking speed, in miles per hour?
2. How long, in minutes, does it take Bianca to walk 1 mile?
Answer:
1. 2.5 miles/hour
2. 24 minutes
Step-by-step explanation:
1. 5/6 of mile in 1/3 of an hour. In 1 hour, Bianca can walk 5/6 x 3 = 15/6 miles or 2.5 miles/hour
2. 5/6 of mile in 1/3 of an hour, hour in 1 mile = (1 x 1/3)/(5/6) = 2/5 = 0.4 hour = 24 minutes
f (x) = 2log
(1/4x-5) +6
Find the Inverse
f-1(x) = 120.52–3 + 20
f-1(x) = 4.30.53–6 +5
f-1(x) = 4.30.52–3 + 20
-6
=
=
Answer:
6 is the answer for the question
(4 − 3)(−3 + 6) − (2 − )
simplify
show all work
Answer:
(4 − 3)(−3 + 6) − (2 )
1(3)-2
3-2
1
Hope This Helps!!!
The sum of 2x minus 2 is 8
For his phone service, Bob pays a monthly fee of $30, and he pays an additional $0.05 per minute of use. The least he has been charged in a month is $91.45.
What are the possible numbers of minutes he has used his phone in a month?
Usem for the number of minutes, and solve your inequality for m.
Answer:
m ≥ 1229
Step-by-step explanation:
Use m for the number of minutes
30 + 0.05×m ≥ 91.45
0.05*m ≥ 91.45-30
0.05*m ≥ 61.45
m ≥ 1229
Solve the following system: 5x + 4y = 6 -2x – 3y = -1
Answer:
[tex]\left \{ {{y=-1} \atop {x=2}} \right.[/tex]
Step-by-step explanation:
[tex]\left \{ {{5x+4y=6} \atop {-2x-3y=-1}} \right. <=> \left \{ {{10x+8y=12} \atop {-10x-15y=-5}} \right.<=> \left \{ {{-7y=7} \atop {-10x-15y=-5}} \right. <=> \left \{ {{y=-1} \atop {-10x-15y=-5}} \right. <=> \left \{ {{y=-1} \atop {-10x+15=-5}} \right. <=>\left \{ {{y=-1} \atop {-10x=-20}} \right. => \left \{ {{y=-1} \atop {x=2}} \right.[/tex]
A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 90 yards, what are its dimensions?
Answer:
L=30 W=15
Step-by-step explanation:
90 divided by 6 is 15. 15 is the Width. Multiply 15 by 2 and you get 30 which is the Length.
A washer and a dryer cost 825 combined. The washer costs 74 more than the dryer. What is the cost of the dryer?
Answer:
375.5 combined
Step-by-step explanation:
The cost of the dryer is: (825-74)÷2 =375.5 (combined)
Acellus. please help me
by-step explaAnswer:
by-step epla
Step-nation:
a
MAX POINTS!!! Where did I go wrong? Please explain where I went wrong and redo it.
Answer:
Ms. I am sure that you are already correct
The price of gas on Wednesday was 52.03/gallon. On Friday, the price of gas was $2.26. What is the percent change in the price of gas?
Answer:
Percent change in the price of gas is [tex]9.85\%[/tex]
Step-by-step explanation:
Percentage change equals the change in value divided by the absolute value of the original value, multiplied by .
[tex]\text { Percentage Change }=\frac{\Delta V}{\left|V_{1}\right|} \times 100[/tex]
Here
[tex]\Delta V=2.26-2.03\\\\=0.23\$/gallon[/tex]
[tex]V_{1}=2.03\$/gallon[/tex]
The percent change in the price of gas
[tex]=\frac{0.23}{2.03} \times100\\\\=9.85\%[/tex]
Percent change in the price of gas is [tex]9.85\%[/tex]
f(x)=5x+4, g(x) square root of x find the domain of gof
What must be true if x/y / 3a/b = 3a/b
HELP! TIMED TEST
Answer:
[tex]\frac{x}{y} =\frac{9a^2}{b^2}[/tex]
Step-by-step explanation:
[tex]\frac{x}{y} :\frac{3a}{b} =\frac{3a}{b}; \ => \ \frac{x}{y} :\frac{3a}{b} *\frac{3a}{b} =\frac{3a}{b} *\frac{3a}{b}; \ => \ \frac{x}{y}=\frac{9a^2}{b^2}.[/tex]
Answer:
D. x/y = 9a^2/b^2
Step-by-step explanation: