How do you simplify this?

Mathematics

1 answer:

grigory [225]4 years ago

6 0

the answer is 2yx^3/(2y^2)^3

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Help me please I just don’t get it ‍♀️

ss7ja [257]

Answer:

$\large\boxed{1.\ the\ slope\ is\ \dfrac{1}{4}}\\\boxed{2.\ y=3x-5}\\\boxed{3.\ (3, 6)}$

Step-by-step explanation:

$\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_2}\\\\l\ \parallel\ k\iff m_1=m_2\\\\m-slope\\b-y-intercept\to(0,\ b)\\\\1.\\\\y=-4x+1\to m_1=-4\\\\m_2=-\dfrac{1}{-4}=\dfrac{1}{4}$

$2.\\y=3x+2\to m_1=3\\\\m_2=3,\ b=-5\\\\y=3x-5$

$\text{Calculate}\ a\ \text{and}\ b:\\\\a=\dfrac{6-(-9)}{5}=\dfrac{15}{5}=3\\\\b=\dfrac{8-(-2)}{5}=\dfrac{10}{5}=2\\\\\text{Calculate the coordinates of a point:}\\\\x=-9+4a\to x=-9+4(3)=-9+12=3\\\\y=-2+4b\to y=-2+4(2)=-2+8=6$

3 0

3 years ago

You are making trail mix for your camping trip. You add 2 1/4 cups granola, 5/6 cups of chocolate chips, 1/2 cups of almonds, 1

lesya692 [45]

Answer: The mixed number is 5 5/8 cups of trail mix.

Step-by-step explanation:

Find the least common multiple of 4, 6, 2, 8, and 3, which is 24.
Convert the fractions so they have 24 as their denominator.

2 1/4 ; 9/4 = 54/24
5/6 = 20/24
1/2 = 12/24
1 3/8 ; 11/8 = 33/24
2/3 = 16/24

3. Add the numerators, 54 + 20 + 12 + 33 + 16. 54 +16 = 70. 70 + 20 = 90. 90 + 12 = 102. 102 + 33 = 135.

4. The improper fraction is 135/24. Simplify it by 3 on both numerator and denominator which results in 45/8. 45/8 as a mixed number is 5 5/8 since 8 goes into 45, 5 times and the remainder is 5, which results the denominator to be 8.

8 0

4 years ago

How many triangles exist with the given side lengths of 3cm, 5cm, and 9cm?

Irina-Kira [14]

Only one triangle exist

3 0

4 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=12%5Ctimes%2012%5Ctimes%2011" id="TexFormula1" title="12\times 12\times 11" alt="12\times 12\t

vekshin1

12 x 12 x 11
12 x 12 = 144
144 x 11 = 1584

the answer is 1584 ! hope that helps :)

5 0