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Mrac [35]
3 years ago
9

Solve for x -3(-5x+2)+x-3=39

Mathematics
1 answer:
omeli [17]3 years ago
4 0
15x-6+x-3=39
16x-9=39
16x=39+9
16x=48
x=48/16
x=3
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What is the equation of a vertical ellipse with a major axis= 20 and a minor axis = 14?​
Sunny_sXe [5.5K]

\bold{\text{Answer:  b.}\quad \dfrac{y^2}{100}+\dfrac{x^2}{49}=1}

<u>Step-by-step explanation:</u>

The ellipse is vertical so y has the biggest radius.

Major axis (y) = 20 so the y-radius is 20/2 = 10

Minor axis (x) = 14 so the x-radius is 14/2 = 7

The equation of an ellipse is:   \dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1   where

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  • b is the y-radius

Given: a = 7, b = 10

Assume: (h, k) = (0, 0)

\dfrac{(x-0)^2}{7^2}+\dfrac{(y-0)^2}{10^2}=1\\\\\\\dfrac{x^2}{49}+\dfrac{y^2}{100}=1\\\\\\\longrightarrow \dfrac{y^2}{100}+\dfrac{x^2}{49}=1

6 0
2 years ago
48% of what number is 108? A. 44.4 B. 51.84 C. 225 D. 5184
Ivan
Let the number = x.

48% of x = 108

(48/100)x = 108

x  =  108 * 100 /48  = 225          use your calculator.

Answer is option C.

8 0
3 years ago
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