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kotegsom [21]
3 years ago
7

Solve the following system by using substitution: x = -3y - 17 2x + 3y = -7

Mathematics
2 answers:
lana [24]3 years ago
7 0

Answer:

x=10 and y=−9

Step-by-step explanation:

Sergio [31]3 years ago
6 0

Answer:

(x,y) = (10,-9)

Step-by-step explanation:

x=-3y-17

2x+3y=-7

2(-3y-17)+3y=-7

y=-9

x=-3(-9)-17

x=10

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VikaD [51]

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A 500-foot cable is attached to the top of a tower and is stretched tight to a point that is 350 feet away from the base of the
Fantom [35]

The angle of depression the cable forms is the arctan of the ratio of the

horizontal distance to the height of the tower which is approximately 35°.

Response:

B. 35°

<h3>Which method can be used to find the angle of depression?</h3>

Given:

Height of the tower = 500-feet

Horizontal distance from the (other)  point of attachment of the cable to

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Required:

The angle of depression formed by the cable.

Solution:

The angle of depression is the angle, θ, the cable forms with the tower

from the top of the tower.

By trigonometric ratios, therefore;

tan(\theta) = \mathbf{\dfrac{Horizontal \ distance \ of \ cable \ from \ tower}{Height\ of \ tower}}

Which gives;

tan(\theta) = \dfrac{350}{500} = \dfrac{7}{10}

  • Angle \ of \ depression, \ \theta = \mathbf{ arctan \left(\dfrac{7}{10} \right) }\approx35^{\circ}

The best correct option is; <u>B. 35°</u>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

8 0
2 years ago
The side of a square is measured to be 12 ft with a possible error of ±0.1 ft. Use differentials to estimate the error in the ca
DIA [1.3K]
Check the picture below.

5 0
4 years ago
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PLZ HELP QUICK I NEED HELP 3 ^x−1 = 9 ^x+2
Crazy boy [7]
I believe the answer is
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3 years ago
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