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Ksivusya [100]
3 years ago
11

A triangle has the vertices A(-7, 8), B(1, -7), and C(7,6). After a dilation, the vertices of the image are A(-28, 32).

Mathematics
1 answer:
steposvetlana [31]3 years ago
4 0

Answer: the answer is A.4

Step-by-step explanation:

Dilation in this context is the transformation is an object into a larger one.

ABC is transformed to A'B'C'

To get the scale factor, we divide the coordinates of A'B'C' by ABC

i.e

A'/A = -28/-7, 32/8 = 4

Or

B'/B = 4/1, -28/-7 = 4

Or

C'/C = 28/7, 24/6 = 4

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What does (2x−2)(3x+5) equal?
saw5 [17]

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6x² + 4x + 10

Step-by-step explanation:

(2x - 2)(3x + 5)

2x(3x + 5) - 2(3x + 5)

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4 0
2 years ago
Edgar owns 234 shares of Cawh Consolidated Bank, which he bought for $21.38 apiece. Each share pays a yearly dividend of $3.15.
trapecia [35]

Answer: B. The stocks have a yield 6.84 percentage points greater than that of the bonds.

Step-by-step explanation:

Firstly, the yield for stocks will be calculated as:

= return/ investment cost

= $3.15/$ 21.38

= 0.14733395

= 14.73%

The yield for bonds will be calculated as:

= Return/Investment cost

Return = 1,000 x 8.3% = 83

Investment cost = 1,000 x 105.166/100 = 1051.66‬

Yield = 83/1051.66

= 0.07892284

= 7.89%

Then, the difference between the yield will be:

= 14.73% - 7.89%

= 6.84%

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8 0
2 years ago
Give four rational numbers betwee1by2 and 6 by 7
MA_775_DIABLO [31]

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5 0
3 years ago
Read 2 more answers
Solve the equation<br><br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B8%7Dx%20-%2017%20%3D%2010" id="TexFormula1" titl
Annette [7]

Answer:

x = 72

Step-by-step explanation:

<u>To solve for 'x', isolate it</u>. This means to keep 'x' on one side of the equal sign, while moving the other numbers to the other side. The numbers on the other side will tell you what 'x' equals to.

<u>When 'moving' a number to the other side, you cancel it out where it originally is by doing reverse operations</u>. (Reverse operation pairs are addition/subtraction and division/multiplication). To keep an equation balanced, <u>what you do to one side you have to do to the other</u>.

\frac{3}{8}x-17=10        Keep 'x' on the left and move everything over.

\frac{3}{8}x-17+17=10+17        Add 17 to both sides. "-17" cancels out on the left.

\frac{3}{8}x=27        Simplified right side

\frac{3}{8}x/\frac{3}{8}=27/\frac{3}{8}        Because 3/8 originally multiplies with 'x', do the reverse: divide both sides by 3/8.

x=27/\frac{3}{8}        To divide a fraction, change to multiplication and flip the fraction's top and bottom numbers.

x=27*\frac{8}{3}        Combine the factors into one fraction.

x=\frac{27*8}{3}        Multiply 27 by 8 in the numerator.

x=\frac{216}{3}        Simplify the fraction by dividing top by bottom.

x=72        Final answer, solved for 'x'

5 0
3 years ago
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