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Leya [2.2K]
3 years ago
11

What is the y-intercept of the line passing though the point (9,-7) with a slope of -1/8

Mathematics
1 answer:
Tomtit [17]3 years ago
8 0

Answer:

y-intercept (0, -47/8)

Step-by-step explanation:

Point slope equation form:

y + 7 = -1/8(x - 9)

y + 7 = -1/8 x + 9/8

y = -1/8 x + 9/8 - 56/8

y = -1/8 x - 47/8

y = mx + b where m=slope and b = y intercept

In this case, y intercept = -47/8

Answer:

y-intercept (0, -47/8)

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PLEASE HELP LATS MATH PROBLEM <br> A, B and C
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Answer:

a) Set up triangles where the hypotenuse is 16ft (the ladder) and one of the two edges are 1, 2, 3, 4, 5ft (the base of the ladder).  Use a^2 + b^2 = c^2 where a is the base length, c is the hypotenuse and b is the value you are trying to find.

Ex w/ 1ft base:

1^2 + b^2 = 16^2

1 + b^2 = 256

b^2 = 255

b = 15.97ft.

b) Simply take your answers from part a) and add 5.5ft (the height of the girl) to them.

Ex w/ 1ft base:

15.97ft + 5.5ft = 21.47ft

c) Using logic here think about it.  Let's take the 1ft base as the example.  Marissa standing on top of the ladder is 21.47ft.  That's clearly not high enough to reach the cat . . . but what happens if Marissa reaches upwards.  As long as her arms can reach roughly 1.53ft above her head she should be able to reach it.

Step-by-step explanation:

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8 0
2 years ago
(d) If mZABD=60°, and point C is in the interior of ABD, then mZABC=40° and m/CBD=20°. Counterexample: m ZABC = [], m2 CBD = "
DENIUS [597]

The counter example: m∠ ABC = 35°, and m∠ CBD = 25°.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. When two planes intersect each other will create an angle.

Point C is the interior of ABD.

The measure of angle ABD is 60°.

The measure of angle ABC is 40°.

The measure of angle CBD is 20°.

Now when we add the angle ABC and CBD:

∠ ABC + ∠ CBD = 40° + 20°

∠ ABC + ∠ CBD = 60°

∠ ABC + ∠ CBD = ∠ ABD

The counter-example will be:

∠ ABD = ∠ ABC + ∠ CBD

60° = 35° + 25°

Therefore,

∠ ABC = 35° and ∠ CBD = 25°

Learn more about angle here:

brainly.com/question/22323626

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5 0
1 year ago
The points in the table lie on a line. Find the slope of the line
yawa3891 [41]

Answer:

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4 0
2 years ago
Read 2 more answers
How do I solve -3(3+x)+(x-6)=-4 ?
zysi [14]

\huge\boxed{x=-\frac{11}{2}}

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Multiply and simplify. -9-3x+(x-6)=-4

Rearrange the terms. -3x+x-9-6=-4

Combine like terms. -2x-15=-4

Add 15 on both sides. -2x=11

Divide both sides of the equation by -2. x=\boxed{-\frac{11}{2}}

7 0
2 years ago
A treasure hunter discovered a buried treasure chest filled with a total of 656 gems. 44 of the gems were diamonds, and the rest
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Answer:612

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3 years ago
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