Answer:
a = 45 degrees
Step-by-step explanation:
Since both angles are a, they are equal to each other
Also, we know that the right angle means it measures 90 degrees
So, (180-90)/2 = a
a = 45 degrees
Answer:
15. 122.49 16.13.17
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
x - 
= 9 ← square both sides
(x - )² = 9²
x² - 2 + 
= 81 ( add 2 to both sides )
x² + = 83
Now
(x + )² = x² + + 2, thus
x² + = 83 + 2 = 85
(x + )²= 85 ( take the square root of both sides)
x + =
Slope Formula: y2 - y1 / x2 - x1
(m and slope represent the same quantity)
m = 1 - - 5 / -4 - 0
m = 1 + 5 / -4
m = 6 / -4
m = -3/2
Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).
y = -3/2x + b
1 = -3/2(-4) + b
1 = 6 + b
b = -5
In point form, the y-intercept is (0, -5).
Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.
Equation: y = -3/2 x - 5
To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.
-14 = -3/2(-6) - 5
-14 = 9 - 5
-14 = 4
-14 does not equal 4, therefore the point is NOT on the line.
Hope this helps!
To find how much that you have to translate:
X'-X
[2.8-6,-1.3-(-2.3)]
->(x-3.2,y+1)
so Y'(4.3,6) and Z'(4.8,5)
