Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the value of x
we know that
In the right triangle of the figure
The tangent of angle of 52 degrees is equal to divide the opposite side to the angle of 52 degrees (x units) by the adjacent side to the angle of 52 degrees (35 units)
Solve for x
Part 2) Find the value of y
we know that
In the right triangle of the figure
The cosine of angle of 52 degrees is equal to divide the adjacent side to the angle of 52 degrees (35 units) by the hypotenuse (y units)
Solve for y
Answer: C
First you have to get rid of the 8 because it is a constant. -4-8=-12. Then, you multiply out the denominator to isolate the variable. This means -12*3=-36
Answer:
Step-by-step explanation:
To avoid confusion, distribute that negative amongst all terms in the second set of parentheses:
** The above answer is written in reverse, which is the exact same result.
I am joyous to assist you anytime.
To find the equation of a line that is parallel to your original equation and goes through a certain point on a graph, here's what you need to know:
First you need to find the slope of your original equation.
To do that, you need to convert it to slope intercept form (y = mx+b).
Add the x over, and then divide everything by 5 to get the y by itself.
Here's what that would look like (without the small steps that I mentioned):
-x + 5y = 25
5y = x + 25
y = 1/5x + 5
That's the original equation rewritten in slope intercept form.
The m represents the slope, so this equation's slope is 1/5.
Because you are given a point, and now you have a slope, the best and easiest route is using point slope form.
I've seen different versions of the equation base but I prefer y - y(sub1) = m(x - x(sub1))
But since I can't use subscripts in this, I'll use the one with h and k. The h is the x value of the point, and the k is the y value.
(h,k)
Then just substitute the values in and solve for y.
y - k = m(x - h)
y + 5 = 1/5(x + 5)
y + 5 = 1/5x + 1
y = 1/5x - 4
Your final answer is
y = 1/5x - 4
You can double check by using a graph. If the slopes are the same, the lines should be parallel.
I hope that helps. If anything didn't make sense, feel free to ask me.
Answer:
w = .5
Step-by-step explanation:
-4w + 18w+2=10 -6w
14w + 2 -2 = 10 -2 -6w
14w + 2w = 8 - 2w + 2w
16w = 8
16w/16 = 8/16
w = .5
