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son4ous [18]
2 years ago
5

Solve 2(x-2) = 3(x+2)-8

Mathematics
1 answer:
IgorC [24]2 years ago
7 0

Answer:

x = -2

Step-by-step explanation:

2(x-2) = 3(x+2)-8

Multiply the 2 and 3 out to the numbers in the parentheses. Don't multiply the 3 out to the -8 because it is outside of the parentheses.

2x-4 = 3x+6-8

Combine the 6 and -8

2x-4 = 3x-2

Subtract 2x from both sides

-4 = x-2

Add 2 to both sides

-2=x

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The question is in the screenshot
Sidana [21]

Answer:

b. -36/77

Step-by-step explanation:

As 0 < x < \pi/2 => tan x > 0

As 0< y <  \pi/2 => tan y > 0

We have the formula:

  • \frac{1}{sin^{2}x } =1 + cot^{2}x => \frac{1}{(8/17)^{2} } = 1+cot^{2}x => cot^{2} x=225/64

As tan x = 1/(cotx) => tan^{2}x = \frac{1}{cot^{2}x} =\frac{1}{225/64} = \frac{64}{225}

As tan x > 0 => tan x = 8/15

  • \frac{1}{cos^{2}y } = 1+tan^{2}y => \frac{1}{(3/5)^{2} } = 1 + tan^{2} y => tan^{2}y=\frac{16}{9}

As tan y > 0 => tan y = 4/3

As tan (x-y)= \frac{tan x - tan y}{1+ tanx * tany} =\frac{(8/15)-(4/3)}{1+(8/15)*(4/3)} = \frac{-36}{77}  

8 0
3 years ago
HELP! 10 POINTS+Braniest
guajiro [1.7K]
When the son is 8, the father is five times that so 8*5 = 40, difference between their ages is 32

twice as old 32*2 = 64

The father will be 64.
7 0
2 years ago
Explanations not just answers: Sarah measures the angle of elevation to the top of a tree as 23.6 degrees from the point which i
Reika [66]
See the attached diagram.

In the right triangle, x is opposite the 23.6 degree angle, and the adjacent side is 250 m.  This suggests using the tangent ratio.

\frac{x}{250}=\tan 23.6 ^\circ \\ x=250 \cdot \tan 23.6^\circ \approx 109.2

Finally, to get the height of the tree, add Sarah's height, 1.5 m.

The tree is approximately 110.7m tall.

6 0
3 years ago
Pls say the answer :( pls say it
Aleksandr [31]

Refer to the pic ...(◕ᴗ◕✿)✌️✌️

4 0
3 years ago
Please help me answer this question. I will mark braineist to first answers no work nessacary.
andriy [413]

Plug in the given values and you'll see its option 2.

x=0 , f(x)  = 0^2 + 1 = 1

x = 1 , f(x) = 1^2 + 1 = 2

x = 2, f(x) = 2^2 + 1 = 5


4 0
3 years ago
Read 2 more answers
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