A = 7
b = -18
c = -52
Do you know what the Quadratic formula is to solve?
Answer:
y = -3/4x - 7
Step-by-step explanation:
Parallel lines have the same slope.
Solve for y in the equation to find the slope.
x - 4y = 4x
-4y = -x + 4x
-4y = 3x
y = 3/-4 x = -3/4x So the slope is -3/4 which is the coefficient of the
x term
Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"
y = mx + b
-1 = -3/4(-8) + b
-1 = 6 + b
-1 - 6 = b
-7 = b
The equation of the new line: y = mx + b
y = -3/4x - 7
Use the z-score:
112 - 100
For 112, the z-score is --------------- = 12/15, or 0.8.
15
Next, find the AREA under the standard normal curve TO THE LEFT OF 0.8.
Use either a z-score table or a calculator for this purpose.
Using my calculator, I found that this area is 0.532. That places 112 in the 53rd percentile.
82 would be in a lower percentile: the 12th percentile.
Let me know if you have questions about how to use a calculator to do these calculations.
20/10 is same as 20:10 so the whole number is 2
Answer:
121°
Step-by-step explanation:
The angle with measure x is an exterior angle of the triangle.
The angles measuring 90° and 31° are the remote interior angles to the exterior angle.
<em>Theorem:</em>
<em>In a triangle, the measure of an exterior angle equals the sum of the measures of its remote interior angles.</em>
x = 31 + 90
x = 121°
