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romanna [79]
3 years ago
15

Given cos A = .25 find angle A in degrees. Round your answer to the nearest hundredth.

Mathematics
1 answer:
Oksana_A [137]3 years ago
8 0
For this you need to use the reverse cosine function
Cos^-1 (.25)
75.6
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Write the equation of a line parallel to the line 2x + y = 3 that passes through the point (2,6)
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Answer <u>(assuming it can be in slope-intercept form)</u>:

y = -2x  +10    

Step-by-step explanation:

1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula  y = mx + b. Isolate y:

2x + y = 3\\y = -2x + 3

The number in place of m, or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.

Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.  

2) Now, remember that the slope-intercept form is represented by the formula y = mx + b. In order to write an equation of a line using that formula, we need to substitute values for m and b. We know m is the slope, so we already know what that equals. Now, we just need to find b.

To do that, substitute -2 for m in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate b and find its values:  

y = mx +b\\6 = (-2)(2)+b\\6 = -4 + b\\10 = b

So, b = 10.

3) Substitute values for b and m into the slope-intercept formula to write the slope-intercept form of the line:

y = -2x  +10

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Answer:

The amount of the markup is $3.70

Step-by-step explanation:

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