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Serga [27]
4 years ago
11

Write an equation in slope-intercept form for the line that passes through (2,-2) and is perpendicular to x + 5y =6

Mathematics
1 answer:
Oksana_A [137]4 years ago
3 0
X + 5y = 6
5y = -x + 6
y = -1/5x + 6/5....the slope here is -1/5. A perpendicular line will have a negative reciprocal slope. All that means is flip the original slope and change the sign. So we flip -1/5 and make is -5/1....and we change the sign...making it 5/1 or just 5. So our perpendicular line will have a slope of 5.

y = mx + b
slope(m) = 5
(2,-2)...x = 2 and y = -2
sub and find b, the y int
-2 = 5(2) + b
-2 = 10 + b
-2 - 10 = b
-12 = b

so ur perpendicular equation is : y = 5x - 12 <=
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3 0
3 years ago
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Felicia bought a jackhammer priced at $8.48. The total price, including sales tax, was $9.73. What was the sales tax percentage?
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Step-by-step explanation:

GIVEN: Felicia bought a jackhammer priced at \$8.48. The total price, including sales tax, was \$9.73.

TO FIND: What was the sales tax percentage.

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Price of jackhammer =\$8.48

Total price including sales tax =\$9.73

Total sales tax on jackhammer =9.73-8.48=\$1.25

Total sales tax percentage =\frac{1.25}{8.48}\times100=14.7\%

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