Answer:
Hello, I am not sure if you mean a dilation by 1/4. If it is, this will be the answer:
B (1, 1)
C (2, 3.5)
D (3, 0)
Step-by-step explanation:
Just divide each number by 4. B (4, 4) = B (4/4, 4/4) = B (1, 1)
Continue to do this for each coordinate set given.
Hope this helps!
The vertices of triangle B'C'D' are:
B'(-1, -1/2)
C'(0, 2)
D'(1, -3/2)
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To find the vertices of triangle B'C'D', which is a dilation of triangle BCD with center at the origin and a scale factor of 1/4,
We can follow these steps:
Find the coordinates of the centroid of triangle BCD.
The coordinates of the centroid G are:
[tex]x_G = (x_B + x_C + x_D) / 3 = (4 + 8 + 12) / 3 = 8[/tex]
[tex]y_G = (y_B + y_C + y_D) / 3 = (4 + 14 + 0) / 3 = 6[/tex]
Translate triangle BCD so that its centroid is at the origin.
We can do this by subtracting the coordinates of the centroid from the coordinates of each vertex:
B(4, 4) → [tex]B_1(4 - 8, 4 - 6) = B_1(-4, -2)[/tex]
C(8, 14) → [tex]C_1(8 - 8, 14 - 6) = C_1(0, 8)[/tex]
D(12, 0) → [tex]D_1(12 - 8, 0 - 6) = D_1(4, -6)[/tex]
Dilate the translated triangle [tex]B_1C_1D_1[/tex] by a scale factor of 1/4.
To do this, we can multiply the coordinates of each vertex by 1/4:
[tex]B_1[/tex](-4, -2) → B'(-4 x 1/4, -2 x 1/4) = B'(-1, -1/2)
[tex]C_1[/tex](0, 8) → C'(0 x 1/4, 8 x 1/4) = C'(0, 2)
[tex]D_1[/tex](4, -6) → D'(4 x 1/4, -6 x 1/4) = D'(1, -3/2)
Therefore,
The vertices of triangle B'C'D' are:
B'(-1, -1/2)
C'(0, 2)
D'(1, -3/2)
Learn more about triangles here:
https://brainly.com/question/25950519
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Use prime factorization to find the GCF (greatest common factor) of the following sets of numbers. Show the steps you used to find the GCF. 1) 18: 20: GCF: 15: 25: GCF: 40: 32: GCF: 12: 22: GCF: 10: 20: GCF: 9: 16: GCF: 30: 15: GCF: 15: 35: GCF: 14: 28: GCF: 24: 8: GCF: 45: 27: GCF: 36: 42: GCF: 2)3) 4) 7) 10) 5) 8) 11) 6) 9) 12)
Answer:
It’s too hard
Step-by-step explanation:
TwT
please and thank you
Answer:
The answer is B
Step-by-step explanation:
You can turn them into improper fractions
so
[tex]10 \frac{1}{2} = \frac{21}{2} [/tex]
[tex]2 \frac{1}{4} = \frac{9}{4} [/tex]
when we divide we invert the second fraction
[tex] \frac{21}{2} \div \frac{9}{4} = \frac{21}{2} \times \frac{4}{9} [/tex]
now we can multiply as usual
[tex] \frac{21}{2} \times \frac{4}{9} = \frac{84}{18} [/tex]
[tex] \frac{84}{18} = \frac{14}{3} = 4 \frac{2}{3} [/tex]
PLS HELP ME I NEED THIS URGENT!!!!
Algebra help........................
Answer:
437
Step-by-step explanation:
Deanna borrowed $650 at 8% 0 simple interest. How much - 52 interest did she pay for 1 year?
Answer:
i = ($650)(0.08)(1) = $52
Step-by-step explanation:
The formula for simple interest is i = prt. Here p = $650, r = 0.08 and t = 1 (year). Then the simple interest Deanna paid for this one year loan was
i = ($650)(0.08)(1) = $52
Please help immediately. I need only 10 more questions on IXL to get 100%
A right triangle has sides of length 3, 4, and x. Find x if it is one of the legs.
HELP ON THIS ONE????
Answer:
C) 2.6
Work Shown:
a = x, b = 3, c = 4
a^2 + b^2 = c^2 ... pythagorean theorem
x^2 + (3)^2 = (4)^2
x^2 + 9 = 16
x^2 = 16 - 9
x^2 = 7
x = sqrt(7)
x = 2.64575131106459
x = 2.6
use the table of probabilities to answer questions 1-3
1.list members of the sample space that include a taco use parentheses
2.list the members of the sample space that include cheese us parentheses
3.What is the probability of choosing a burrito with cheese and a taco or wrap with salsa??
please help
Answer:
what
Step-by-step explanation:
Owen earned some money at a summer job. He saved 1/4 of the money and spent 1/3 of the rest on a t-shirt. He then spent the remaining money on downloading some songs. 1.What fraction of the money did he spend on the downloads?
2. If the t-shirt cost 20$, how much money did Owen earn at the summer job?
He saved 1/4 of the money
3/4 (remaining money lets call it RM)
*answers question 1 * Since he spent 1/3 of the RM on shirt we need to subtract 3/4 (our RM) by 1/3
3/4 - 1/3 = 5/12
the remaining money he spent of downloads is 5/12 of the total money he earned.
He spent 1/3 of the R on a $20 dollar T-shirt, and if $20 is 1/3 of the remaining money then that means that he had 60 dollars he has not saved. (20 x 3 = 60)
*answers question 2* if $60 is 3/4 of the total money he earned then he earned a total of $80 dollars from his summer job.
60/3 = 20
60 + 20 = 80
Hope I HELPED :>
This one i number 7…..
Answer:
i dont know if im right but i think that its C
Step-by-step explanation:
k = -45 ÷ (-15).
-3
-9
3
9
Answer:
3
Step-by-step explanation:
-45÷-15 is the same as 45÷15 because both are negative
Answer:
3
Step-by-step explanation:
k = [tex]\frac{-45}{-15}[/tex]
A pine tree grows about 18 inches per year. After how many years will the tree be 90 inches tall? [Type your answer as a number.]
Answer:
5
Step-by-step explanation:
90/18 = 5 years
Please help with these questions!! Tysm!
Translate the phrase into a math expression.
Twelve more than the quotient of six divided by three.
A. (3÷6)+12
B. 3÷(6+12)
C. (6÷3)+12
D. 6÷(3+12)
Answer:
C
Step-by-step explanation:
Quotient of 6 divided by three translates to (6/3) and then +12.. so you get (6/3)+12
Simplify
10(–6x+–10)+–10x
Answer:
-70x - 100
Step-by-step explanation:
After you apply distributive property: -60x+-100+-10x
Combine like terms: -70x - 100
Hope it helped!
Answer: -70x-100
Step-by-step explanation:
10(–6x+–10)+–10x
-60x+-100+-10x
Pls help this question is due in 2 minutes
A game app costs a base fee of $5.
You can download additional booster packs for $1.50 per pack.
If you spend a total of $23 on the game, which equation correctly models the situation, where n is the number of booster packs purchased?
Answer:
the correct answer is 5 + 1.5n = 23
plz help for 100 points what I need help with is in the pictures
If Gary bikes at an average speed of 6 miles per hour, how many hours will it take him to bike 84 miles?
A. 19 hours
B. 17 hours
C. 14 hours
D. 12 hours
Step-by-step explanation:
No of hours =84 ÷ 6 = 14 hours
Option C is the correct answer
Identify the parts of the expression 4.2m + (8 , 2) - 6.
a. What are the terms of the expression?
b. Which term is the product of two factors?
c. Which term is a quotient?
d. Which term is a constant numerical value?
Answer:
Step-by-step explanation:
C because the problem has a bracket in between which clarify the statement as a quotient
Araceli filled a cone-shaped container with a variety of colored sand to give as a gift to a friend. The volume of a cone is represented by the expression below, where r is the radius of the base of the cone and h is the height of the cone.
Find the approximate volume of colored sand in the container if it has a radius of inches and a height of inches. Use 3.14 for .
A.
70.65 cubic inches
B.
9.42 cubic inches
C.
23.55 cubic inches
D.
47.1 cubic inches
Answer:
B.
9.42 cubic inches
Because 9.42 devaided by 3.14 is 3
Create a scatterplot displaying the data in the table. Be sure to include a linear trend line. (2 points)
Answer:
I'm going home ️️️️️ and I have
Simplify 10 divide 5 + 3 x 2.
Answer:
d 8
Step-by-step explanation:
Answer:
8 answer ..
i hope it will help you
y = 5x + 4
What is the slope. Please help.
Answer:
The slope is 5
Step-by-step explanation:
Our equation:
y = mx + bGiven equation:
y = 5x + 4Now, let's compare both equations to see which is the slope.
=> y = mx + b = y = 5x + 4
We can clearly see that m = 5.
Therefore, the slope is 5.
Hoped this helped.
[tex]GeniusUser[/tex]
PLS HELP ASAP DOING A TEST
A rectangular table has a length of 12 in. and width of 8 in. How much fabric is needed to cover the table top?
Answer:
96 in.
Step-by-step explanation:
12*8=96
A professional football field is 120 yards long and 53 yards wide. How far will you run if you go all the way around it?
Mrs. Payfer's desk is 3 feet by 2 feet. What is the perimeter of her desk?
What is the perimeter of a square with a side that measures 15 m?
Please answer quickly. I have ton more questions to do..
and please do N
Answer:
1) 346 ft.
2)10 ft.
3)60 ft.
Step-by-step explanation:
1) the equation for finding the perimeter of a rectangle is P=2L+2W. so, P=2(120)+2(53). P=240+106. P=346.
2) The equation is P=2L+2W. P=2(3)+2(2). P=6+4. P=10
3) the equation for finding the perimeter of a square is P=4s. So P=4(15) P=60
Hope this helps!
please explain and i will give brainly
Answer:
24 in.
Step-by-step explanation:
Because the radius would be half of the diameter, it would be 16/2 which is 8.
To find the area, you do pi times radius, so: 3*64=24.
The area would be 24in.
include reasoning pls
THERE ARE 4 QUESTIONS BELOW!
1. Mae Ling earns a weekly salary of $395 plus a 5.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,800 worth of merchandise?
She would make $_______
2. Ramon earns $1,865 each month and pays $53.30 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Ramon spends ______% of his earnings on electricity each month.
3. James, Priya, and Siobhan work in a grocery store. James makes $7.00 per hour. Priya makes 40% more than James, and Siobhan makes 15% less than Priya. How much does Siobhan make per hour?
Siobhan makes $_______ per hour.
4. The Hu family goes out for lunch, and the price of the meal is $46. The sales tax on the meal is 6%, and the family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?
The total cost of the meal is $__________.
5. For the following real-world examples, determine whether each situation represents a percent increase or a percent decrease.
Sales tax on an item is a percent ______
A discount on an item is a percent _____
A tip on a bill is a percent __________
help im giving 90 points