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3 years ago

Solve equatiob using the subtractiob and addition properties of equality 6a -3 = -7a, a=3/13

Mathematics

1 answer:

Lisa [10]3 years ago

5 0

Answer:

Step-by-step explanation:

6a-3=-7a

6a-(-7a)=3

6a+7a=3

13a=3

a=3/13

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The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ > 0. What is

ankoles [38]

Answer:

Option A. -( $\frac{\sqrt{17}}{17}$ )

Step-by-step explanation:

Equation of a given line is a + 4b = 0 or b = - $\frac{1}{4}a$

This in the form of y = mx + b, which is slope-intercept form.

Here slope of the line is ( $-\frac{1}{4}$ ).

Or tanθ = $\frac{(-1)}{4}$

This line coincides with the terminal side of the angle in standard position where cosθ > 0

Since tanθ = $\frac{\text{Height}}{\text{Base}}$

and sinθ = $\frac{\text{height}}{\txt{Hypotenuse}}$

Hypotenuse = $\sqrt{\text{height}^{2}+\text{Base}^{2}}$

= $\sqrt{(1^{2}+4^{2})}$

= $\sqrt{17}$

Since tanθ is negative and cosθ > 0 that means θ lie in fourth quadrant.

Therefore, sinθ will be negative.

[ $\frac{-sin\theta}{+cos\theta}=-tan\theta$ ]

sinθ = - $\frac{1}{\sqrt{17}}$

= - $\frac{1}{\sqrt{17}}\times \frac{\sqrt{17} }{\sqrt{17}} = -\frac{\sqrt{17}}{17}$

Answer will be option A.

6 0

4 years ago

Please help meeeee !!!

ElenaW [278]

The answer is y = -3x + 4

8 0

3 years ago

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3 years ago

an electrician charges an initial fee of $250 plus and hourly fee of $25. Mr.Scott paid the electrician $400. How many hours did

mixas84 [53]

Answer:

The plumber worked for 6 hours.

Step-by-step explanation:

400-250=150

150/25=6

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3 years ago

staircase of steps in a swimming pool has a vertical rise of 14 inches per step and a landing of 20 inches.

Jlenok [28]

I think the question for this problem is to find the slope of the staircase. The slope is a ratio of change of the y-coordinates and x-coordinates of points. It is written as Δy/Δx especially in analytical geometry. It could also be simply the ratio of the rise or vertical height to the run or horizontal length.

Therefore, the slope of the stair case is

Slope = rise/run = 14/20 = 0.7

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3 years ago