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3 years ago

(-1, -5) and y= -1/5x + 7. How do I solve this

Mathematics

1 answer:

Anika [276]3 years ago

8 0

Answer:

Using point-slope formula, if you're trying to find a parallel or perpendicular line to it.

Step-by-step explanation:

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The diagonals of a rectangle enclose an angle of measure 78 degree

katrin2010 [14]

The area of the rectangle with a perimeter of 36 cm is determined as: 80.1 cm².

<h3>What is the Area of a Rectangle?</h3>

Area of a rectangle = (length)(width).

<h3>Given the following:</h3>

Angle of measure 78 degree enclosed by the diagonals of the rectangle

Perimeter = 36 cm

To find the area, we need to find the length and width of the rectangle using the trigonometric ratios.

A side of the rectangle = x cm

The other side = (36 - 2x)/2 = (18 - x) cm

Angle of the diagonal base = (180 - 78)/2 = 51°

Apply the tangent ratio to find x:

Tangent ratio is tan ∅ = opposite/adjacent side of a right triangle. We have the following,

∅ = 51°

Opposite side = x cm

Adjacent side = (18 - x) cm

Tan 51° = x/(18 - x)

1.235 = x/(18 - x)

1.235(18 - x) = x

22.23 - 1.235x = x

22.23 = x + 1.235x

22.23 = 2.235x

22.23/2.235 = 2.235x/2.235

x = 9.946 cm (one side length)

The other side length = 18 - x = 18 - 9.946 = 8.054 cm

Area of the rectangle = (9.946)(8.054)

Area of the rectangle = 80.1 cm²

Learn more about the area of rectangle on:

brainly.com/question/25292087

#SPJ1

3 0

1 year ago

what is the value after 7 years of a car that originally costs $25,000 rate if it depreciates at a rate of 8% per year ?round yo

12345 [234]

The value of the car after 7 years of depreciation is $13,946.

In order to solve this question you need to start out with the original cost of the car and then subtract 8% of the current value each year.

After each year is the 8% depreciate amount and then the value of the car at the end of that year:

1 - $25,000 x 8% = $2,000. - $25,000 - $2,000 = $23,000

2 - $23,000 x 8% = $1,840. - $23,000 - $1,840 = $21,160

3 - $21,160 x 8% = $1,692.80. - $21,160 - $1,692.80 = $19,467.20

4 - $19,467.20 x 8% = $1,557.38. - $19,467.20 - $1,557.38 = $17,909.82

5 - $17,909.82 x 8% = $1,432.79 - $17,909.82 - $1,432.79 = $16,477.03

6 - $16,477.03 x 8% = $1,318.16. - $16,477.03 - $1,318.16 = $15,158.87

7 - $15,158.87 x 8% = $1,212.71. - $15,158.87 - $1,212.71 = $13,946.16

7 0

3 years ago

A piano turner charges $63 for 1.5 hours of work. Which proportion can be used to find x, the number of dollars the piano turner

weeeeeb [17]

$63. 1.5 hrs
$x. 4 hrs

63/x=1.5/4

x=63•4/1.5
x=252/1.5
x=168$

8 0

3 years ago

Write the expression in the standard form a+b i <br>(8-8i) + (1+6i )= (simplify the answer)

kotegsom [21]

Answer:

Step-by-step explanation:

(8 - 8i) + (1 + 6i)

8 + 1 - 8i + 6i

9 - 2i

4 0

3 years ago

Solve these equations.<br> |x-7|=x-7

Cloud [144]

Answer:

x ≥ 7

Step-by-step explanation:

|x - 7| = x - 7

A. For each absolute, find the intervals

x - 7 ≥ 0 x - 7 < 0

x ≥ 7 x < 7

If x ≥ 7, |x - 7| = x - 7 > 0.

If x < 7, |x - 7| = x - 7 < 0. No solution.

B. Solve for x < 7

Rewrite |x - 7| = x - 7 as

+(x - 7) = x - 7

x - 7 = x - 7

-x + 14 = x

14 = 2x

x = 7

7 ≮7. No solution

C. Solve for x ≥ 7

Rewrite |x - 7| = x - 7 as

+(x - 7) = x - 7

x - 7 = x - 7

True for all x.

D. Merge overlapping intervals

No solution or x ≥ 7

⇒ x ≥ 7

The diagram below shows that the graphs of y = |x - 7| (blue) and of y = x - 7 (dashed red) coincide only when x ≥ 7.

6 0

2 years ago