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3 years ago

Finding Slope On a coordinate plane, a line goes through points (0, 1) and (4, 2). What is the slope of the line? m =

Mathematics

1 answer:

ivolga24 [154]3 years ago

7 0

Answer:

slope = $\frac{1}{4}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (4, 2)

m = $\frac{2-1}{4-0}$ = $\frac{1}{4}$

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7nadin3 [17]

Answer:

Sipho catches up Jabu at 6:30 pm

Step-by-step explanation:

Jabu left town A to travel to town B at 6:00 a.m. he drove at an average speed of 80km/h.

At 8:30 am, when Sipho leaves, we will have traveled 2.5 hours at 80 km/h, so he will be 80*2.5 = 200 km ahead.

From then, his position will be given by:

$J(t) = 200 + 80t$

Sipho left town A to travel to town B. He drove at an average speed of 100 km/h.

His position will be given by:

$S(t) = 100t$

At what time will Sipho catch up jabu?

He will catch up in t hours, and t is found when:

$S(t) = J(t)$

$100t = 200 + 80t$

$20t = 200$

$t = \frac{200}{20} = 10$

He will catch up 10 hours after 8:30 am, that is, 6:30 pm.

Sipho catches up Jabu at 6:30 pm

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3 years ago

Mrs. Burnham has a 1 cup measure that has no other markings. Can she make 6 of molding clay using only 1 cup measure? Describe t

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Train A travels 30 miles in 20 minutes at a constant speed. Train B travels 20 miles in 15 minutes at a constant speed. Redo Whi

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1 year ago

30 POINTS!

Alona [7]

Answer:

Area = 3,656.6 m²

Step-by-step explanation:

Area enclosed by the track is composed of two semicircles and a rectangle.

Area = area of two semicircles + area of rectangle

= 2(½*πr²) + L*W

Where,

radius of semicircle (r) = ½of 40 m = 20 m

Length of rectangle (L) = 60 m

Width of rectangle (W) = 40 m

Plug in the values

Area = 2(½*π*20²) + 60*40

Area = 400π + 2,400

Area = 3,656.6 m² (aooroximated to nearest tenth)

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Answer:

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