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2 years ago

Evaluate each expression for a=7,b=4,and c=-3.

Mathematics

1 answer:

stiks02 [169]2 years ago

3 0

Answer:

Step-by-step explanation: 3a-5b= 3(7)-5(4)

=21-20

=1

7-3a+5a+15=7-3(7)+5(7)+15

=7-21+35+15

=-14+50

=36

15a^2-17(bc)^2=15(7)^2-17(4)(-3)^2

=105^2-204^2

=210-408

=-198

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Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slope

1) Determine the slope of line S using line R (m)

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We can identify clearly that the slope of the line is $-\frac{1}{4}$ , as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be $-\frac{1}{4}$ . Plug this into $y=mx+b$ :