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Snezhnost [94]
3 years ago
5

Solve the equation. show all work. 3x - 10 = 5x + 22

Mathematics
1 answer:
inysia [295]3 years ago
5 0
<span>Simplifying 3x + 10 = 5x + 22 Reorder the terms: 10 + 3x = 5x + 22 Reorder the terms: 10 + 3x = 22 + 5x Solving 10 + 3x = 22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 3x + -5x = 22 + 5x + -5x Combine like terms: 3x + -5x = -2x 10 + -2x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -2x = 22 + 0 10 + -2x = 22 Add '-10' to each side of the equation. 10 + -10 + -2x = 22 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 22 + -10 -2x = 22 + -10 Combine like terms: 22 + -10 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6</span>
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The question is about trigonometry solving two sides it is a right triangle hypotenuse is X left side is 20 bottom side is 21 i
elena55 [62]

Answer:

x = 29

Angle A = 46.4°

Angle B = 43.6°

Step-by-step explanation:

Since it is a right angle triangle, we can find x from pythagoras theorem;

x = √(20² + 21²)

x = √(400 + 441)

x = √841

x = 29

Using trigonometric ratios we can find angles A and B.

Opposite is 20

Adjacent is 21

Thus; opp/adj = tan B

20/21 = tan B

B = tan^(-1) 0.9524

B = 43.6°

Sum of angles in a triangle is 180°. Thus;

A = 180 - (90 + 43.6)

A = 46.4°

4 0
2 years ago
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nadezda [96]
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Let us assume the common ration to be = x
The amount of money that Jon got = $1256
Then
2x = 1256
x = 1256/2
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Then
The amount of money that Jon got = 4 * 628 dollars
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6 0
3 years ago
Differentiation <br>Find the formula to find the gradient ​
Alla [95]

Answer:

x + 4/3x^3

Step-by-step explanation:

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dy/dx=1/2(2x)-2/3(-2x^-3)

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2 years ago
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77julia77 [94]

Answer:

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Step-by-step explanation:

Hello!

apply distributive law

a(b - c) = ab - ac

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Hope it helps!

6 0
1 year ago
A home improvement store advertises 60 square feet of flooring for $287.00 including an $80.00 installation fee. How much does e
grin007 [14]

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2 years ago
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