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ryzh [129]
3 years ago
14

Find the slope of the line that contains the points (2, 2) and (-7,-4).

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
3 0

Answer:

6, 9

Step-by-step explanation:

y1-y2 over x1-x2

slope formula ^^

Pavlova-9 [17]3 years ago
3 0

To find the slope (m), use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}     And plug in the two points

(-7, -4) = (x₁, y₁)

(2, 2) = (x₂, y₂)

[lines go from left to right, so the point furthest to the left is the 1st point]

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{2-(-4)}{2-(-7)}    [two negative signs cancel each other out and become positive]

m=\frac{2+4}{2+7}

m=\frac{6}{9}

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2 years ago
If f(x)= 15x+7x and g(x)= x^2-5x, find (f+g)(x)
cupoosta [38]

Answer:

(f+g)(x) = x^2 +10x +7

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(f+g)(x) = f(x) +g(x) = (15x +7) +(x^2 -5x)

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7 0
3 years ago
A planter weighs 2 pounds and holds 3 pounds of soil.Write two equivalent expressions for the total weight of nine planters.Then
lara [203]

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4 0
3 years ago
1 hour = 3600 seconds and 1 mole = 5,280 feet. Make a conjecture about how you could convert a speed of 15 miles per hour to fee
Keith_Richards [23]
We know that speed (rate) is equal to distance over time.

The current unit of distance is miles, and we want to convert it to feet. The unit of time is hours, and we want seconds. In order to do this, we need to create a conversion factor.

Since 1 \ mi = 5,280 \ ft and 1 \ hr = 3,600 \ s, we will use these are our conversion factors.

The goal in a dimensional analysis problem like this is for your units to work out. Remember, we want feet per second.

We write speed =  \dfrac{15 \ mi}{hr} *  \dfrac{5,280 \ ft}{1 \ mi} *  \dfrac{1 \ hr}{3,600 \ s} \\  \\ speed =  \dfrac{22 \ ft}{s}.

You may wonder why in the conversion factor, we chose to put feet over miles and hours over seconds. This is again because we want our units to cancel. If you have one unit the numerator and the same one in the denominator, the units cancel out.

In sum, the answer is 22 ft/s.
3 0
3 years ago
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