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MatroZZZ [7]
3 years ago
10

What was the resulting equation ?

Mathematics
1 answer:
zaharov [31]3 years ago
8 0
From the first equation we get y = 2x.  Subbing this into the second equation, we get:

 x^2    (2x)^2
------ - --------- = 1, or 
  25        49

 x^2      4x^2
------ - --------- = 1
  25        49
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julia-pushkina [17]
First solve for the trig function 'cot'
cot^2 x = \frac{15}{5} = 3

Next take the sqrt of both sides (include plus/minus)
cot x = \pm \sqrt{3}

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

tan x = \pm \frac{1}{\sqrt{3}} = \pm \frac{\sqrt{3}}{3}

Finally use the unit circle or inverse tan on your calculator to find x.
There will be 4 solutions, one for each quadrant.

x = \frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}
3 0
3 years ago
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Shalnov [3]

Answer:

Time in seconds when the ball is 4 feet above the ground is:

t= 0.6 and 2.9.

6 0
3 years ago
Find the area of the shaded region
Andre45 [30]

Answer:

13.73 ft²

or 14 ft² if youre rounding

Step-by-step explanation:

area of circle:

A≈50.27

area of the square:

A = 64

subtract the area of the circle from the area of the square

64 - 50.27

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7 0
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Sylvia plans to place 617 stamps in an album. Each page of the album holds 5 stamps. She uses division to find out how many full
bija089 [108]

Answer:

123 full pages

Step-by-step explanation:

Given

Total\ Stamps = 617\ stamps

Each\ Page = 5\ stamps

Required

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To do this, we simply divide the total stamps by stamps in each page;

Pages = \frac{Total\ Stamps}{Each\ Page}

Pages = \frac{617}{5}

Pages = 123.4

Then we record only the quotient

The quotient is the digits before the decimal

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8 0
2 years ago
Twice a number x increased by 10 is 52
musickatia [10]

Answer:

x = 21

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3 years ago
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