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pochemuha
3 years ago
12

The smaller triangle is the image of the larger triangle after a dilation. The center of the dilation is (4,2). What is the scal

e factor used to create the dilation?

Mathematics
2 answers:
34kurt3 years ago
8 0

Answer:

I just took the test and got it correct!!

Step-by-step explanation:

Look at the image down below ♡\( ̄▽ ̄)/♡

zzz [600]3 years ago
7 0
Small triangle: <span>The side // x axis has a length of 4
Large triangle: The side // x axis has a length of 12

So Small/Large = 4/12 = 1/3

Small triangle: <span>The side // y axis has a length of 3
Large triangle: The side // y axis has a length of 9


</span><span>So Small/Large = 3/9 = 1/3

So the scale factor to obtain this dilatation is 1/3</span>

</span>
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How many 9-inch-square floor tiles are needed to cover a rectangu­lar floor that measures 12 feet by 15 feet?
Eduardwww [97]
To cover the width we need 12÷¾=12×4/3=16 tiles.
To cover the length we need 15×4/3=20 tiles, so to cover the floor area we need 16×20=320 tiles.
6 0
2 years ago
What is the equation of a line that passes through the point?
Artist 52 [7]
<h3>Answer: 3x-2y = 5 (choice A)</h3>

=====================================================

Explanation:

The given graph passes through (0,2) and (2,5)

The slope of this line is

m = (y2 - y1)/(x2 - x1)

m = (5-2)/(2-0)

m = 3/2

Since the y intercept is b = 2, we go from y = mx+b to y = (3/2)x+2, which is the equation of the graphed line shown.

Any parallel line will have the same slope, but a different y intercept.

-------------------

The parallel line must pass through (x,y) = (3,2). We'll use these coordinates along with m = 3/2 to find the y intercept b

y = mx+b

2 = (3/2)(3)+b

2 = 9/2+b

2-9/2 = b

4/2 - 9/2 = b

-5/2 = b

b = -5/2 ... is the new y intercept

The equation of the parallel line is y = (3/2)x-5/2, which is in slope intercept form

-------------------

Let's convert to standard form

y = (3/2)x-5/2

2y = 3x-5 .... multiply everything by the LCD 2 to clear out fractions

2y+5 = 3x

3x = 2y+5

3x-2y = 5 ... is the equation in standard form of the parallel line

-------------------

As a check, we can plug (x,y) = (3,2) into that last equation above to get

3x-2y = 5

3*3-2*2 = 5 ... replace x with 3, replace y with 2

9-4 = 5

5 = 5

Confirming that (x,y) = (3,2) is on the line.

3 0
3 years ago
What is the answer to the equation <br> (4 x 6) - 25 + 1
Mashutka [201]
Zero because im smart
5 0
2 years ago
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Plzzzz Answer As SOON AS POSSIBLE. What is the volume of the figure? Down below? it will be worth your while ;)
Makovka662 [10]

Answer:

=60 cm

Step-by-step explanation:

                           i took the test

4 0
2 years ago
Read 2 more answers
How much cashews at $1.58 per pound must be mixed with walnuts that cost 78 cents per pound to make a mixture of 40 pounds of nu
Likurg_2 [28]

Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.

Step-by-step explanation:

  • Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50
  • Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.

⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50

⇒ 1.58 C + 31.2 - 0.78 C = 60

⇒ 1.58 C - 0.78 C = 60 - 31.2

⇒ 0.8 C = 28.8

⇒ C = 36 pounds

  • Step 3: Calculate number of pounds of walnuts

⇒ Number of pounds of walnuts = 40 - C = 4 pounds

5 0
2 years ago
Read 2 more answers
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