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iris [78.8K]
3 years ago
9

For Problems 11-12, expand the expressions using the Distributive Property. Then simplify the expressions. 12. 9(3y-5) ​

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
6 0

Answer:

27y-45

Step-by-step explanation:

9(3y-5)=27y-45

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I need help! This is Geometry lesson 8-3 ! Please help me asap!!!!
gulaghasi [49]
If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3

But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).

If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side

Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.

In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.

Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
x = (3√2)cos45°
If you plug this into your calculator (in degree mode), then
x = 3

8 0
3 years ago
Simplify the expression: 1/4+4/5(3/4x-1 1/9)
sweet-ann [11.9K]

Answer:

 108x + 29

 —————

       180  

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.
jeka94

Answer:

x=4+2\sqrt{3}

x=4-2\sqrt{3}

Step-by-step explanation:

<u>Completing the square</u>

when  ax^2+bx+c=0

Given equation:

3x^2-24x+40=28

Subtract 40 from both sides:

\implies 3x^2-24x=-12

Divide both sides by 3:

\implies x^2-8x=-4

Add the square of half the coefficient of x to both sides:

(\frac{b}{2})^2=(\frac{-8}{2})^2=16

\implies x^2-8x+16=-4+16

Factor the left side and simplify the right side:

\implies (x-4)^2=12

Square root both sides:

\implies x-4=\pm\sqrt{12}

Add 4 to both sides and simplify the radical:

\implies x=4\pm\sqrt{4 \cdot 3}

\implies x=4\pm\sqrt{4}\sqrt{3}

\implies x=4\pm2\sqrt{3}

5 0
2 years ago
Someone please help ASAP will give brainliest
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the last one,,,,,,,,,,,,,,,,,,,,,,,,,

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3 years ago
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Really need help ASAP
Kipish [7]
The third and fourth charts represent functions
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