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Svetllana [295]
3 years ago
13

Use the figure below to find the answer. find y.

Mathematics
1 answer:
ryzh [129]3 years ago
4 0

9514 1404 393

Answer:

  y = 7√2

Step-by-step explanation:

We are given the side opposite the angle, and we want to find the hypotenuse. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(45°) = 7/y

  y = 7/sin(45°) = 7/(1/√2)

  y = 7√2

__

<em>Additional commen</em>t

In this 45°-45°-90° "special" right triangle, the two legs are the same length. Thus, ...

  x = 7

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2. Each of the following lines has a slope that can be determined by examining the graph. Use another point
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The slope, y-intercept and the equation of the following graph are as follows:

1(a)

slope : 1

y-intercept: 2

Equation: y = x + 2

(b)

slope : -  1 / 3

y-intercept: - 1

Equation: y = - 1 / 3x - 1

2.

(a)

slope : 3 / 4

y-intercept: 5 / 4

Equation: y = 3 / 4 x + 5 / 4

(b)

slope : - 3 / 2

y-intercept: 1 / 2

Equation: y = - 3 / 2 x + 1 / 2  

<h3 />

<h3>Slope intercept equation</h3>
  • y = mx + b

where

m = slope

b = y-intercept

Therefore lets find the slope, y-intercept and equation of the following graph.

1.

(a)

(0, 2)(1, 3)

m = 3 - 2 / 1 - 0 = 1

b = 2

y = x + 2

(b)

(0, -1)(-3, 0)

m = 0 + 1 / -3 - 0 = - 1 / 3

b = -1

y = - 1 / 3x - 1

2.

(a)

(1, 2)(-3, -1)

m = -1 - 2 / -3 - 1 = 3 / 4

2 = 3 / 4 (1) + b

b = 2 - 3 / 4  = 5 / 4

y = 3 / 4 x + 5 / 4

3.

(b)

(-3, 5)(1, -1)

m = - 1 - 5 / 1 + 3 = - 6 / 4 = - 3 / 2

-1 = - 3 /2 (1) + b

b = -1 + 3 / 2 = 1 /2

y = - 3 / 2 x + 1 / 2  

learn more on y-intercept here: brainly.com/question/2833377?referrer=searchResults

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