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avanturin [10]
1 year ago
10

If a line has slope​ a, what is the slope of its reflection across the line y​=x?

Mathematics
1 answer:
aleksandrvk [35]1 year ago
3 0

Check the picture below.

notice the reflected gray line on the red one over the y=x line, the slope of either line across the y=x line is simply the other's upside-down.

\stackrel{\textit{slope of line "a"}}{a\implies \cfrac{a}{1}}\hspace{5em}\stackrel{\textit{slope of its reflection}}{\cfrac{1}{a}}

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The perimeter of a rectangle is 80 inches, if the width is 18 inches what is the area of the rectangle? A.22 sq.in B.324 sq.in C
Tanya [424]

Answer:

396 in^2

Step-by-step explanation:

The perimeter of a triangle is given by the formula:

● P = 2w+2L

L is the length and w is the width

■■■■■■■■■■■■■■■■■■■■■■■■■■

The width hereis 18 inches and the perimeter is 80 inches.

Replace w by 18 and P by 80 to find L.

● P= 2L+2w

● 80 = 2L + 2×18

● 80 = 2L + 36

Substrat 36 from both sides

● 80-36 = 2L+36-36

●44 = 2L

Divide both sides by 2

● 44/2 = 2L/2

● 22 = L

So the length is 22 inches

■■■■■■■■■■■■■■■■■■■■■■■■■■

The area of a rectangle is given by the formula:

● A= L×w

● A = 22×18

● A = 396 in^2

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a clerk is paid $45.25 per hours for 40 hours a week, 1.50 times the regular rate of overtime and double the rate for a holiday.
KonstantinChe [14]

Given :

A clerk is paid $45.25 per hours for 40 hours a week, 1.50 times the regular rate of overtime and double the rate for a holiday.

To Find :

How much does the clerk get if he works overtime for 5 hours and 2 hours on holidays.

Solution :

Amount from regular job = $ 45.25 × 40 = $1810 .

Amount from overtime = $ (45.25×1.5) × 5 = $339.375 .

Amount from holiday = $ (45.25×2) × 5 = $452.5 .

Total amount clerk will get is :

T = $( 1810 + 339.375 + 452.5 )

T = $2601.875

Hence, this is the required solution.

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2 years ago
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Answer:

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Step-by-step explanation:

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