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2 years ago

Find the slope of the line that passes through points (10,2) and (3,5)

Mathematics

2 answers:

Semenov [28]2 years ago

8 0

Answer:

-3/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-2)/(3-10)

m=3/-7

Hunter-Best [27]2 years ago

4 0

Answer:

Slope = -3/7

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1.

Substitute for the points.

5-2/3-10 = -3/7

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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 $x=\frac{-1-\sqrt{37}}{12}$

4 0

3 years ago

What is the range of the function represented by these ordered pairs?

sdas [7]

Answer:

Option B is correct.

Step-by-step explanation:

{ -1 , 0 , 1 , 7 }

Hope this helps!

4 0

2 years ago

Bill buys a large can of paint. The size of the can measured in which units

KonstantinChe [14]

Answer:

Paint is measured in gallons

Step-by-step explanation:

5 0

2 years ago

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A line passes through (6, 3), (8, 4), and (n, -2). Find the value of n.

timurjin [86]

Answer:

n = -4

Step-by-step explanation:

Notice how in the previous examples they all divide by 2? It is the same case here. So now the question is... "what" divided by "2" is "-2".

Let me show you:

n ÷ 2 = -2

if you know your integer math, you should know that...

-4 ÷2 = -2 (this is the correct equation)

8 0

1 year ago

A square pyramid has side lengths each measuring 8 centimeters. The height of the pyramid is 3 centimeters. What is the lateral

maks197457 [2]

Answer:

Step-by-step explanation:

8 0

3 years ago

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