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3 years ago

A line passes through the points (4, -1) and (2,3). What is the slope of the line?

Mathematics

1 answer:

Paha777 [63]3 years ago

3 0

Answer:

-2

Step-by-step explanation:

To find the slope of a line with 2 given points, you use the formula

m=y2-y1/x2-x1

Now you plug in the points which would be m=3-(-1)/2-4 which equals m=4/-2

4/-2 equals -2

The slope is -2

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Mr. West is standing on a cliff that is 25 1/5meters above the surface of the ocean. He spots a dolphin that is 2 3/5 meters und

zhenek [66]

Answer:

Total distance from Mr. West to dolphin $=27\frac{4}{5}\ meters$

Step-by-step explanation:

Height of cliff on which Mr. West is standing above the surface of ocean = $25 \frac{1}{5} \ meters$

Mr. West spot the dolphin under the water at a depth of = $2\frac{3}{5} \ meters$

∴ Total distance from Mr. West to dolphin= $(25 \frac{1}{5}+2\frac{3}{5})\ meters$

Adding mixed numbers

$(25 \frac{1}{5}+2\frac{3}{5})$

Adding whole numbers first.

$=25+2+\frac{1}{5}+\frac{3}{5}\\=27+\frac{1}{5}+\frac{3}{5}$

Adding fractions by taking LCD.

$=27+\frac{1+3}{5}\\=27+\frac{4}{5}\\=27\frac{4}{5}\ meters$

5 0

3 years ago

John and his three brothers share a cell phone plan. the cell phone company charges a flat rate of $90 per month, which of the f

Alla [95]

Ok...so u have 4 people sharing this plan...they each pay for their own data..however, the $ 90 flat rate is split between them equally.
90/4 = 22.5....so each of them pay 22.50 each for the flat rate.

so John's equation is : 22.5 + 0.25x = 147.50

8 0

3 years ago

Justine earned $28,000 during the first year of her job at city hall. After each year she received a 6% raise. Find her total ea

Verdich [7]

Answer:

$ 157838.60 in 5 years

Step-by-step explanation:

r = 1.06

sum of geometric seq = a1 ( 1-r^n)/(1-r) n = 5

28000 ( 1 - 1.06^5) / ( 1-1.06) = 157838.60

5 0

2 years ago

Help with 401k Basic financial math

amm1812

80000x0.03= 24000 dollars per year A. 65x0.03= 1.95 per month B 860x0.03= 25.80

5 0

3 years ago

To get to his parents’ house, Ruben would have to drive due north 12 miles. To get to his grandparents’ house, he would have to

Nata [24]

Answer:

d = 15 miles

Step-by-step explanation:

To get to his parents’ house, Ruben would have to drive due north 12 miles.

To get to his grandparents’ house, he would have to drive due east 9 miles.

It is required to find the distance between the parents’ and grandparents’ houses.

First distance is 12 miles and second distance is 9 miles.

So,

$d=\sqrt{12^2+9^2} \\\\d=15\ \text{miles}$

So, the distance between the parents’ and grandparents’ houses is 15 miles.

6 0

3 years ago