What is the equation of the line that passes through the point (-4,1) and has a slope of -3/4

Mathematics

1 answer:

Rashid [163]3 years ago

8 0

Answer:

y = -3/4x - 2

Step-by-step explanation:

y = -3/4x + b

1 = (-3/4) × -4 + b

1 = 3 + b

-2 = b

b = -2

y = -3/4x -2

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A woman jogs for 2 km at 8 km/h and then walks for 2 km

Artemon [7]

Answer:

6 6/7 km/h

Step-by-step explanation:

The relations between speed, time, and distance are ...

time = distance/speed

speed = distance/time

So, to find the average speed, we need to know the total distance and the total time. The distances are given, but we need to compute the times.

time jogging = (2 km)/(8 km/h) = 1/4 h

time walking = (2 km)/(6 km/h) = 1/3 h

Then the woman's average speed is ...

average speed = (total distance)/(total time) = (2 km + 2 km)/(1/4 h + 1/3 h)

= (4 km)/(7/12 h) = 48/7 km/h

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3 years ago

Use the given information to solve the triangle for A = 150°, b = 4.8, a = 9.4

ELEN [110]

Well you can start by drawing a triangle with the information

the size of angle B can be found using the Law of Sine

$\frac{sin(150)}{9.4)} = \frac{sin(B)}{4.8}$

the size of angle C can be found using angle sum of a triangle.

The length of side c can be found using the Law of Cosines

$c^2 = 4.8^2 + 9.4^2 - 2 \times4.8\times9.4\times cos(C)$

hope it helps

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3 years ago

The lengths of the legs of a right triangle are 8 inches and 9 inches. What is the length of the hypotenuse? Round to the neares

patriot [66]

Hyp^2 = 8^2 + 9^2
hyp^2 = 64 + 81
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3 years ago

Charlie runs a screen printing company and is resetting a machine he uses to print triangular banners. He knows the amount of ma

aliina [53]

Answer: b= 2a/h

Step-by-step explanation:

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