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NemiM [27]
3 years ago
12

B. , using the Pythagorean Theorem, show that. C. Solve for X

Mathematics
1 answer:
valkas [14]3 years ago
4 0
X=20
WORK:

100+ 3x +x=180
4x+100=180
-100 -100
4x=80
divide both sides by 4
x=20
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How do i solve 3x² - 8x + 2 = 0 using quadratic formula?
DENIUS [597]
3x^2 - 8x + 2 = 0\\ \\a=3 , \ \ b=-8 , \ \ c=2 \\ \\x_{1}=\frac{-b-\sqrt{b^2-4ac}}{2a} =\frac{8-\sqrt{ (-8)^2-4 \cdot 3\cdot 2}}{2 \cdot 3} =\frac{8-\sqrt{ 64-24 }}{6} =\\ \\ =\frac{8-\sqrt{40 }}{6} = \frac{ 8-\sqrt{4\cdot 10 } }{6} = \frac{ 8-2\sqrt{ 10 }}{6} = \frac{2 (4-\sqrt{ 10 })}{6} = \frac{ 4-\sqrt{ 10 } }{3}

x_{2}=\frac{-b+\sqrt{b^2-4ac}}{2a} =\frac{8+\sqrt{ (-8)^2-4 \cdot 3\cdot 2}}{2 \cdot 3} = \frac{ 4+\sqrt{ 10 } }{3}



7 0
2 years ago
Read 2 more answers
Which expression is equivalent to (-4y - x) - (3y - 9x)
WINSTONCH [101]

Answer: -7y+8x

Step-by-step explanation: I assume you mean to simplify

Step 1: Remove parentheses : -4y - x - (3y - 9x)

Step 2: -(3y - 9x) = -3y + 9x

Step 3: Simplify: -4y - x - 3y +9x

Step 4: Answer: -7y+8x

4 0
3 years ago
A child is flying a kite 145ft above the ground. The string makes an angle of 57 degrees from the child's hands. How much has be
Arturiano [62]

Answer: the length of string that been let out to fly the kite this high is 172.89 ft

Step-by-step explanation:

The length of string attached to the kite, the vertical height of the kite above the ground and the ground distance forms a right angle triangle.

With an angle of 57 degrees, the length of the string that is attached to the kite represents the hypotenuse of the right angle triangle.

The height of the kite above the ground represents the opposite side of the triangle

To determine h, the length of the string that has been let out to fly the kite this high, we would apply the

Sine trigonometric ratio which is expressed as

Sine θ = opposite side/hypotenuse

Sin 57 = 145/h

h = 145/Sin57 = 145/0.8387

h = 172.89

7 0
3 years ago
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jek_recluse [69]

Answer:

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6 0
3 years ago
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12 – 2x= -2(y – x)<br> -2x = -2(y – x) – 12<br> x= (y - x) + 6
Vilka [71]

Answer:

x=o and y= -6

Step-by-step explanation:

12-2x = - 2(y-x)

or,12-2x = -2y + 2x

or, 12 = - 2y + 4x

or, 12/2= 2x - y

or, 2x - y = 6

• 2x -6= y.....eqn_1

-2x=-2y+2x -12

or,4x +2y= -12

or,4x + 2(2x-6)= -12

or, 4x+4x-12=-12

or, 8x= 0

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putting the value of x in eqn...3

o=(y-0)+6

or, o= y + 6

•y = -6

5 0
3 years ago
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