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2 years ago

Find the slope and the equation for the line passing through the points: (-3,0) and (-1,2)

Mathematics

1 answer:

dusya [7]2 years ago

4 0

Answer:

slope: 1
equation: y = x +3

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (2 -0)/(-1 -(-3)) = 2/2

m = 1 . . . . . the slope of the line is 1

The value of the y-intercept can be found by solving the slope-intercept equation for b.

y = mx +b

b = y -mx

b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)

The equation of the line with slope 1 and y-intercept 3 can be written as ...

y = x +3

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75% increase followed by 50% decrease is it greater than to original

IceJOKER [234]

Answer:

Set original amount = x

After a 75% increase, it would become

x + 75%x = x + 0.75x = x(1 + 0.75) = 1.75x

After a 50% decrease, it would become

1.75x - 50%(1.75x) = 1.75x - 0.5(1.75x) = 1.75x - 0.875x = 0.875x = $\frac{7}{8} x$

Because $\frac{7}{8} x$ is less than x, the new amount would be less than the original.

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3 years ago

You are standing 40 meters from the base of a tree that leans 8o away from you. The angle of elevation from you to the top of th

Y_Kistochka [10]

Answer:

the height of the tree is 15.49 m

Step-by-step explanation:

Step 1:

From the figure, we can determine ∠ATB by using the fact that the sum of all the angles in a triangle add up to 180°:

∠ ATB = 180° - 98° - 20°

∠ ATB = 62°

Step 2:

Therefore, using the law of sines, we can determine the height of the tree.

TB / sin(20°) = 40 / sin(62°)

TB = 40 × (sin(20°) / sin(62°))

TB = 15.49 m

Therefore, the height of the tree is 15.49 m

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3 years ago

How to find area of composite figures

Romashka [77]

Answer:

↓↓↓↓↓

Step-by-step explanation:

A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles. To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.

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3 years ago

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Answer:the answer is A

Step-by-step explanation:

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3 years ago

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Dafna1 [17]

Answer:

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Step-by-step explanation:

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3 years ago