Find the slope of the line containing the pair of points.(-10,-3) and (-12,-10)
the slope of the line is...........???

Answers

Answer 1

Answer: $\sf~m=(y_2-y_1)/(x_2-x_1)$

(-10, -3), (-12, -10)
x1 y1 x2 y2

Plug in what we know:

$\sf~m=(-10-(-3))/(-12-(-10))$

Subtract:

$\sf~m=(-7)/(-2)$

Divide:

$\sf~m=\boxed{\sf3.5}$

Answer 2

Answer: $m = (y_2 - y_1)/(x_2 - x_1) = (-10 - (-3))/(-12 - (-10)) = (-10 + 3)/(-12 + 10) = (-7)/(-2) = 3(1)/(2)$

The slope of the line is equal to 3¹/₂.

$y - y_1 = m(x - x_1) \ny - (-3) = 3(1)/(2)(x - (-10) \ny + 3 = 3(1)/(2)(x + 10) \ny + 3 = 3(1)/(2)(x) + 3(1)/(2)(10) \ny + 3 = 3(1)/(2)x + 35 \ny = 3(1)/(2)x + 32$

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What is the value of 2 in 32?

Answers

30 is tens and 2 is ones

Please help me this is due tonight

Answers

Answer:

B = (2, -5)

Step-by-step explanation:

The problem requirements mean ...

B - A = (2/3)(C - A)

B = A + (2/3)C - A

B = (1/3)A + (2/3)C = (A +2C)/3

B = ((-6, 1) +2(6, -8))/3 = (-6+12, 1-16)/3 = (6, -15)/3

B = (2, -5)

Find the area of the triangle

Answers

Hello!

To find the area of a triangle, first multiply the base by the height. Afterwards, divide the product by 2.

Base: The bottom side of the triangle.
Height: The distance from the bottom to the top of the triangle.

Base = 13
Height = 18.2

13 × 18.2 = 236.6

Now we do the final step, which is to divide by 2.

236.6 ÷ 2 = 118.3

118.3 is your answer.

But why do we divide the product of the base and the height by 2? This is because a triangle is recognized as half of a rectangle/square.

:)

I think it should be 118.3 the equation is base times height divided by two equals the area

Given f(x)=6x+4 and g(x)=3x+7g
then what is f(g(1)) ?

Answers

for g(x) the question must be 3x+7x.. so if it's g(x) =3x+7x than f(g(1)) will be 64

Find the solution to the following equation by transforming it into a perfect square trinomial.x2 – 12x = 13

   {46, 55}
       {–1, 13}
       {–15, 27}
       {–21, 33}

Answers

$x^(2) -12x=13\ \ \ \Leftrightarrow\ \ \ x^2-2\cdot x\cdot 6+6^2-6^2=13\n\n \Leftrightarrow\ \ \ (x-6)^2=13+36\ \ \ \Leftrightarrow\ \ \ (x-6)^2=49\ \ \ \Leftrightarrow\ \ \ (x-6)^2=7^2\n\nx-6=7\ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ x-6=-7\n\nx=13\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-1\n\nAns.\ x\in \{-1,\ 13\}$

x² -12x = 13 way to obtain 36 > (-12/2)² = 36
x² -12x + 36 =13 +36 since we add 36 to the left,we must also add 36 to the right
(x-6)² = 49
x-6 = 7
x = 7 + 6 = 13 or -7 + 6 = -1
x = -1 or 13

Round 38217 to 2 significant figures