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KonstantinChe [14]
3 years ago
14

Factor 54c–9d. Write your answer as a product with a whole number greater than 1

Mathematics
1 answer:
lisov135 [29]3 years ago
5 0

Answer:

9(6c - d)

Step-by-step explanation:

54c - 9d  \\ = 9 \times 6c - 9d \\  = 9(6c - d) \\

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Zhang says ABC is congruent to ADC. Explain the error in Zhang’s work.
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In a circle, area and circumference can be found using the formulas A=(pi)r^2 and C=2(pi)r, respectively, Write a formula for A
AURORKA [14]

Answer:

A = \dfrac{C^2}{4\pi}

Step-by-step explanation:

Given that

Area of a circle A=\pi r^2

Circumference of the circle C = 2 \pi r

Let us re-write the equation of area of circle:

A=\pi r^2

A = \pi \times r \times r

Multiplying and dividing with 2:

A = \dfrac{2\pi r}{2} \times r\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C}{2} \times r\\\text{Multiplying and dividing by } 2\pi:\\\Rightarrow A = \dfrac{C}{2} \times \dfrac{2\pi r}{2\pi}\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C \times C}{4 \pi}\\\Rightarrow A = \dfrac{C^2}{4 \pi}

Hence, <em>A</em> in terms of <em>C</em> can be represented as:

A = \dfrac{C^2}{4\pi}

4 0
4 years ago
Help with this homework thanks
SSSSS [86.1K]

Answer:

240

Step-by-step explanation:

3 times 80 is 240 and 7 times 80 is 560. added together is 800. 800 is the total amount of people, so it works.

6 0
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The line that contains the point Q( 1, -2) and is parallel to the line whose equation is y - 4 = 2/3 (x - 3)
Musya8 [376]

Answer:

y + 2 = \frac{2}{3}(x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = \frac{2}{3}(x - 3) ← is in point- slope form

with slope m = \frac{2}{3}

Parallel lines have equal slopes, thus equation of parallel line

with m = \frac{2}{3} and (a, b) = Q(1, - 2) is

y - (- 2) = \frac{2}{3}(x - 1) , that is

y + 2 = \frac{2}{3}(x - 1)

7 0
4 years ago
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