The area of a rectangle is 58 in². The base is 8 inches long. What is the height
1 answer:
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Answer:
x=1
Step-by-step explanation:
To solve for x, we need to get x alone on one side of the equation.
Add one to each side of the equation. Subtract 8x from each side of the equation. Divide both sides by -7. You should get 1 as the answer.
Answer <u>(assuming it is allowed to be in point-slope format)</u>:
Step-by-step explanation:
1) First, determine the slope. We know it has to be perpendicular to the given equation, . That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since
is in place of the m in the equation, that must be the slope of the given line.
Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be .
2) Now, use the point-slope formula, to write the new equation with the given information. Substitute
,
, and
for real values.
The represents the slope, so substitute
in its place. The
and
represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for
and 4 for
. This gives the following equation and answer:
