Answer:
A
Step-by-step explanation:
A solution to a system of linear equations is the point at which they intersect. These graphs do not intersect as they are parallel. There is no solution.
Simplifying
8x + 8y = 12
Solving
8x + 8y = 12
Solving for the variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8y' to each side of the equation. 8x + 8y + -8y = 12 + -8y
Combine like terms: 8y + -8y = 0
8x + 0 = 12 + -8y
8x = 12 + -8y
Divide each side by '8'.
x = 1.5 + -1y
Simplifying x = 1.5 + -1y
<h3>
Answer: Choice B) 122%</h3>
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Work Shown:
A = 1250 is the initial amount
B = 2780 is the new amount
C = percent change = unknown for now
The formula to use is
C = [ (B-A)/A ] * 100
to calculate the percent change.
Basically we calculate the change (B-A) first and then divide that over the original amount A to compute the decimal form of the answer, which is then converted over to percentage form. The "100" tacked on at the end is what converts from decimal to percent form.
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C = [ (B-A)/A ] * 100
C = [ (2780 - 1250)/1250 ] * 100
C = (1530/1250)*100
C = 1.224 * 100
C = 122.4%
C = 122%
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The positive C value indicates we have a percent increase. If C were negative, then we'd have a percent decrease.
Answer:
392
Step-by-step explanation:
Triangles XQP and YRS are right triangles because triples 6, 8, 10 are Pythagorean triples.
Extend lines XQ, YR, YS and XP and mark their intersection as A and B.
Quadrilateral XAYB is a square because all right triangles PXQ, QAR, RYS and SBP are congruent (by ASA postulate) and therefore
- all angles of the quadrilateral XAYB are right angles
- all sides of XAYB are congruent and equal to 6 + 8 = 14 units.
Segment XY is the diagonal of the square XAYB, by Pythagorean theorem,
