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kifflom [539]
3 years ago
12

Find the value of x that will make L parallel to m

Mathematics
2 answers:
katen-ka-za [31]3 years ago
7 0

Answer:

x = 7

Step-by-step explanation:

If L is parallel to M, therefore:

7x - 7 = 4x + 14 (alternate interior angles are congruent)

7x - 7 - 4x = 4x + 14 - 4x (subtraction property of equality)

3x - 7 = 14

3x - 7 + 7 = 14 + 7 (addition property of equality)

3x = 21

Divide both sides by 3

x = 7

Gre4nikov [31]3 years ago
7 0

Answer:

7

Step-by-step explanation:

Correct for Acellus!

I wish you luck with geometry!

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For the function y=3x2: (a) Find the average rate of change of y with respect to x over the interval [3,6]. (b) Find the instant
nirvana33 [79]

Answer:

The instantaneous rate of change of y with respect to x at the value x = 3 is 18.

Step-by-step explanation:

a) Geometrically speaking, the average rate of change of y with respect to x over the interval by definition of secant line:

r = \frac{y(b) -y(a)}{b-a} (1)

Where:

a, b - Lower and upper bounds of the interval.

y(a), y(b) - Function exaluated at lower and upper bounds of the interval.

If we know that y = 3\cdot x^{2}, a = 3 and b = 6, then the average rate of change of y with respect to x over the interval is:

r = \frac{3\cdot (6)^{2}-3\cdot (3)^{2}}{6-3}

r = 27

The average rate of change of y with respect to x over the interval [3,6] is 27.

b) The instantaneous rate of change can be determined by the following definition:

y' =  \lim_{h \to 0}\frac{y(x+h)-y(x)}{h} (2)

Where:

h - Change rate.

y(x), y(x+h) - Function evaluated at x and x+h.

If we know that x = 3 and y = 3\cdot x^{2}, then the instantaneous rate of change of y with respect to x is:

y' =  \lim_{h \to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}

y' =  3\cdot \lim_{h \to 0} \frac{(x+h)^{2}-x^{2}}{h}

y' = 3\cdot  \lim_{h \to 0} \frac{2\cdot h\cdot x +h^{2}}{h}

y' = 6\cdot  \lim_{h \to 0} x +3\cdot  \lim_{h \to 0} h

y' = 6\cdot x

y' = 6\cdot (3)

y' = 18

The instantaneous rate of change of y with respect to x at the value x = 3 is 18.

5 0
3 years ago
What are the coordinates of the point obtained if the point A=(3,7) is rotated 180 degrees about the origin?
Yuliya22 [10]

Answer:

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Step-by-step explanation:

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Therefore, your new coordinates are (-3, -7)

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