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3 years ago

6

A dilation has been performed on ΔABC. The length of segment BC is 5 cm and the length of segment BC' is 30 cm. If segment AC ha

s a length of 12 cm, what is the length of segment A'B'?

1 answer:

borishaifa [10]3 years ago

7 0

If we try to find the scale factor by dividing 30 by 5 to get 6cm, then multiply 12 by 6 and we get A'B' = 72cm
: D

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9/11 - 1/2 in it's simplest form

Murrr4er [49]

Answer:

7/22

Step-by-step explanation:

Step 1: <u>Define/explain.</u>

To subtract fractions with different denominators, you must first find the least common denominator (LCM).

You can do this by listing the multiples of each denominator.

Step 2: <u>Solve.</u>

11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

22 is the LCM.

Now, we change the fractions to where they both have denominators of 22.

**REMEMBER: WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MULTIPLY IT BY THE NUMERATOR AS WELL!!**

$9/11*2/2=18/22$

$1/2*11/11=11/22$

Now, subtract as normal.

$18/22-11/22=7/22$

$7/22 (simplified).$

Step 3: <u>Conclude.</u>

Therefore, 9/11 - 1/2 = 7/22.

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3 years ago

What is the answer to 2 3/4 ÷ 1 5/8

alex41 [277]

Exact form:
22/13

Mixed number:
1 9/13

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3 years ago

2. By selling an article for ₹1636.25, a dealer gains ₹96.25. Find his gain percentage.

madreJ [45]

Answer is..

5.88%

(96.25/1636.25)%

= 5.88%

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3 years ago

Simplify the expression:<br><br> 3x (4x-6)<br> —————<br> 2x(3x)

Marina86 [1]

Answer:

$=\frac{2x-3}{x}$

Step-by-step explanation:

$=6x^2\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{3x\left(4x-6\right)}{2x\cdot \:3x}\\2x\cdot \:3x=6x^2\\=\frac{3x\left(4x-6\right)}{6x^2}\\\mathrm{Cancel\:}\frac{3x\left(4x-6\right)}{6x^2}:\quad \frac{4x-6}{2x}\\=\frac{4x-6}{2x}\\\mathrm{Factor}\:4x-6:\quad 2\left(2x-3\right)\\=\frac{2\left(2x-3\right)}{2x}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=\frac{2x-3}{x}$

7 0

3 years ago

Use the distance formula to show algebraically and graphically that the following two circles do not intersect. (x-1)²+(y+2)²=1

lesya692 [45]

Answer and Step-by-step explanation:

C1) (x-1)²+(y+2)²=1 C1 (1,-2) R1 = √1 = 1

C2) (x+5)²+(y-4)²=4 C2 (-5,4) R2 = √4 = 2

DISTANCE FORMULA: d² = (y₂-y₁)²+(x₁-x₂)²

calculating the distances between the 2 center:

d² = (4-(-2))²+(-5-1)² = (6)²+(-6)² = 36 + 36 = 72 ⇒ d = √72

√72 ≈ 8.49

R1 = 1 and R2 = 2

If the circles were secants, d would be < than R1 + R2.

If the circles were tangent, d would be = to R1 + R2

As d > than R1 + R2, we know that the circles do not intercept.

3 0

3 years ago