Answer:
b=8
Step-by-step explanation:
Perpendicular lines are negative and reciprocal; when you multiply the slopes together, the result is -1.
we are given the line y=-3x-5
we need to find the slope of the new line. To do that, we can use this equation:
-3m=-1
divide by -3 on both sides
m=1/3
so the slope of the perpendicular line is 1/3
We can write our line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, which is what we need
so far our equation is:
y=1/3x+b
we need to find b
we can substitute the point (-3,7) into the equation, since the line will pass through it to solve for b
so:
7=1/3(-3)+b
7=-1+b
8=b
so the y intercept of the line is 8; as a point it's (0,8)
hope this helps!
If 24 of the 60 were saved then the percent saved is
(24/60) x 100
Let's imagine for a second that all 60 was saved, then 100% of the money would be saved. Which makes sense, because
(60/60) x 100 = 100%
So the amount saved dived by the amount earned all times 100 is the percent saved.
Answer:
The "x² + bx + c = 0" ; is treated as:
"x² + (-b)x + (-c) = 0 " ;
or, put simply:
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" x² − bx <span>− c = 0 ;
in which: b = - (insert number);
and "c" = - (insert number);
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Then, the expression on the "left-hand side" of the equation is "factored"; and set equal to "0" .
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Note of interest: This is done even if "factoring" cannot be done; and/or if one wishes to proceed using the "quadratic equation formula" to solve for "x".
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Hope this helps!</span>
Answer:
3 terms
Step-by-step explanation: