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Iteru [2.4K]
3 years ago
11

What is the slope between (-4,4) and (-6,6)

Mathematics
1 answer:
nalin [4]3 years ago
5 0

\textsf{Let's calculate the slope of the line passing thought the points (-4, 4) and (-6, 6) } \\ \textsf{using the following formula: }\mathsf{m = \frac{\Delta y}{\Delta x}} \textsf{ where m is the slope of the line.}\textsf{So:}

\mathsf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{4 - 6}{-4 - (-6)} = \dfrac{-2}{2} = -1}

\textsf{Hence the slope is -1.}

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Given various values of the linear functions f(x) and g(x) in the table, determine the y-intercept of (f- g)(x).
lisabon 2012 [21]

The y-intercept of linear function (f- g)(x) is (0,9)

<h3>How to determine the y-intercept?</h3>

The table of values is given as:

x   -6 -4 -1 3 4

f(x) 15 11 5 -3 -5

g(x) -36 -26 -11 9 14

The equations of the functions is calculated using:

y = \frac{y_2 -y_1}{x_2-x_1} * (x -x_1) + y_1

So, we have:

f(x) = \frac{11 -15}{-4 + 6} * (x + 6) + 15

Evaluate

f(x) = -2x + 3

Also, we have:

g(x) = \frac{-26 + 36}{-4 + 6} * (x + 6) - 36

Evaluate

g(x) = 5x - 6

Next, we calculate (f - g)(x) using:

(f - g)(x) = f(x) - g(x)

This gives

(f - g)(x) = -2x + 3 - 5x + 6

Substitute 0 for x

(f - g)(0) = -2(0) + 3 - 5(0) + 6

Evaluate

(f - g)(0) = 9

Hence, the y-intercept of (f- g)(x) is (0,9)

Read more about linear functions at:

brainly.com/question/24896196

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7 0
2 years ago
Ok for this one im really stuck and i need help.just want to make sure i understand this one.
tangare [24]

Answer:

70 - 5√10 ft²

Explanation:

Perimeter is the distance around a two-dimensional shape.

                       area of rectangle: length x width

Here given:

length: (3√2 + 4√5) ft

width: (-5√2 + 5√5) ft

Solve for perimeter:

length x width

(3√2 + 4√5) x (-5√2 + 5√5)

<u>apply distributive method</u>

(3√2)(-5√2) + (3√2)(5√5) + (4√5)(-5√2) + (4√5)(5√5)

<u>multiply</u>

-15(2) + 15√10 -20√10 + 20(5)

<u>combine</u>

-30 -5√10 + 100

<u>simplify</u>

70 - 5√10

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