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2 years ago

What would the answer be ? Thank You!!

Mathematics

1 answer:

Bogdan [553]2 years ago

3 0

Answer:

2.33 = BC

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan B = AC / BC

tan 25 = AC / 5

Multiply each side by 5

5 tan 25 = BC

2.331538291 = BC

To the nearest hundredth

2.33 = BC

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Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3>Answer</h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

If you have any questions related to the answer, feel free to ask via comment.

7 0

2 years ago

Solve for W: P=2L + 2W A. W=P-L B. W= 1/2P - L C. W= 1/2 P + L D. W= 2P - L

svetlana [45]

Answer:

Step-by-step explanation:

$P=2L+2W$

$P-2L=2W$ (Subtract 2L from both sides of the equation)

$2W=P-2L$ (Symmetric Property of Equality)

$W=\frac{P-2L}{2}$ (Divide both sides of the equation by 2)

$W=\frac{P}{2} -\frac{2L}{2}$ ("Split" the fractions)

$W=\frac{1}{2}P-L$ (Simplify)

Hope this helps!

4 0

2 years ago

What is the y-intercept? y = -x + 3

Zepler [3.9K]

I’m sure that the answer is x=3

3 0

2 years ago

I need help with this question

egoroff_w [7]

Answer:

C. No, because there is an input value that has two different output values.

Step-by-step explanation:

A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it. y-values can be repeated. x-values can NOT be repeated.

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2 years ago

4 + 8x = -12 what is X?

Elena L [17]

Answer:

x=-2

Step-by-step explanation:

4+8x=-12

-4 -4

8x = -16

/8 /8

x = -2

5 0

2 years ago

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