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3 years ago

Find the gradient of line segment AB A is point (-3,3) B is point(-1,-1)

Mathematics

1 answer:

Fynjy0 [20]3 years ago

7 0

Answer:

$m=-2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope (Gradient) Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

A (-3, 3)

B (-1, -1)

Step 2: Find slope m

Substitute: $m=\frac{-1-3}{-1+3}$
Subtract/Add: $m=\frac{-4}{2}$
Divide: $m=-2$

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Luba_88 [7]

Answer:

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Step-by-step explanation:

Represent his average speed going by r1 and his average speed returning by r2. We know that r1 = r2 + 9.

Recall that distance = rate times time, so time = distance / rate.

Time spent going was (280 mi) / r1, or (280 mi) / (r2 + 9 mph).

Time spend returning was (280 mi) / r2.

The total time was 14 hrs, so (280 mi) / (r2 + 9 mph) + (280 mi) / r2 = 14 hrs

Note that there is only one variable here: r2. Find r2, and then from r2, find r1:

Dividing all 3 terms by 14 hrs yields:

20 20

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The LCD here is r2(r2 + 9). Thus, we have:

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Then 20(r2) = (r2)^2 + 9(r2). This is reducible by dividing all terms by r2:

20 = r2 + 9, or 11 = r2. Then r1 = 11 + 9, or 20.

The two rates were 11 mph and 20 mph.

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kirill115 [55]

Answer:

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