Answer:
x = 4
y = 8
Step-by-step explanation:
this is a 30-60-90 triangle and the sides have a constant ratio
the side across from the 30°∡ is 1
the side across from the 60°∡ is √3
the side across from the 90°∡ is 2
In this problem we can find 'x' by setting up this proportion:
x/12 = /1
cross-multiply:
x = 12
x = 12/
since we don't like to leave radicals in the denominator, we can multiply both numerator and denominator by to get:
12 ÷ · (· = , which equals 3)
so we have 12/3, which is 4
The 'y' value will be twice the 30° side, so 8
Answer:
no
Step-by-step explanation:
Answer:
y=2x+7
Step-by-step explanation:
When an equation is parallel to another, it shares the same slope.
Our original line is y=2x-8, and it is in slope-intercept form (y=mx+b)
This means that our slope is 2 because m represents the slope.
The slope of our parallel line will then also be 2.
<u>We can begin to plug that into point-slope form which is:</u>
y - y1 = m(x - x1)
This is where (x1, y1) is a point the line intersects, and m is the slope.
<u>Plugging in the slope, we'll have:</u>
y - y1 = 2(x - x1)
We also know it intersects the point (-4, -1)
We can plug this into our equation as well.
y - (-1) = m(x - (-4))
y+1=2(x+4)
<u>Now, we can simplify it into slope-intercept form:</u>
y+1=2(x+4)
Distribute
y+1=2x+8
Subtract 1 from both sides
y=2x+8-1
y=2x+7