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3 years ago

What is the slope of a line that passes through points (2, 4) and (5, 8)?

Mathematics

1 answer:

Luda [366]3 years ago

8 0

Answer:

4/3

Step-by-step explanation:

(4-8)/(2-5) = -4/-3 = 4/3

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3 years ago

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Solve for x<br> (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$

Taking out common term 2, we get,

$\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}$

Thus, the value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

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3 years ago

SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLY IF YOU GET IT RIGHT ALSO PLEASE EXPLAIN HOW YOU GOT THE ANSWER!!!

Amanda [17]

Answer

B - 1/4

explanation

246 rounds up to 250. 1000/250=4, meaning 1/4 of the people surveyed liked green.

because 1/4 of the people surveyed so far liked green, it’s most likely that the next person will like green.

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3 years ago

Add 8x to 2x and then subtract 5 from the sum. If x is a

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Step-by-step explanation:

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3 years ago

What is the area of the figure?

Lynna [10]

Answer:

112 in^2

Step-by-step explanation:

10 x 10 = 100

4 x 6 / 2 = 12

112 inches squared

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3 years ago

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