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kobusy [5.1K]
4 years ago
7

Which expressions below are equivalent to 43c+513 ? Select all that apply. □ A. 13(4c+16) □ B. 43(c+4) □ C. 13(33c+5) □ D. 23(2c

+8) □ E. 23(3c+5) □ F. 43(c+513)
Mathematics
2 answers:
Viktor [21]4 years ago
4 0
It's A because you need to distribute
Eva8 [605]4 years ago
4 0
None:

A. 13(4c+16) = 52c+208
B. 43(c+4) = 43c+172
C. 13(33c+5) = 429c+65
D. 23(2c+8) = 46c+185
E. 23(3c+5) = 69c+115
F. 43(c+513) = 43c+22,059

Hope that helps
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If (x - 3) represents the side of a cube, what is the<br>polynomial that represents its volume?​
hichkok12 [17]

Answer:

x³ - 9x² + 27x - 27

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the measure of the side ) , thus

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   = (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL

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3 0
3 years ago
Find the distance from point A(−1, 7) to the line y=3x. Round your answer to the nearest tenth.
bearhunter [10]

Answer:

<em>The distance from the point to the line is approximately 3.2 units</em>

Step-by-step explanation:

<u>Distance From a Point to a Line</u>

Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.

If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is

\displaystyle d= \frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}

The line is given by the equation:

y=3x. We need to transform it into the specified form.

Subtracting 3x:

y - 3x = 0

Comparing with the general form of the line, we have

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\displaystyle d= \frac{|-3\cdot (-1)+1\cdot 7+0|}{\sqrt{(-3)^2+1^2}}

\displaystyle d= \frac{|3+7|}{\sqrt{9+1}}

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\displaystyle d= \frac{10}{\sqrt{10}}

d\approx 3.2

The distance from the point to the line is approximately 3.2 units

4 0
3 years ago
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