Answer: 2.
Step-by-step explanation:
You can find the slope between two points by using the "rise-over-run" method.
This method essentially calculates the slope as the quotient of the vertical span and horizontal span of the two points.
You can find it through this formula:
To find the slope, use two points, (x1, y1) and (x2 and y2).
For the points given, I will replace those values in the formula with (-33, -27) and (-32, -25).
The slope of the line is 2.
Answer:
x=148
Step-by-step explanation:
First, find the missing angle by subtracting 100+48 from 180 (all of the angles in a triangle add up to 180). Then, subtract that from 180 (the angles are a linear pair, so they are supplementry, so they add up to 180) x+32=180.
x=148.
(お役に立てれば！)
Answer:
Step-by-step explanation:
a) Pythagorean theorem,
altitude² + base² = hypotenuse²
h² + (w² - 1)² = (w² + 1)²
h² = (w² + 1)² - (w² - 1)²
{Compare with (a + b)² - (a -b)² = 4ab where a =w² & b = 1}
h² = 4*w²*1
h² = 4w²
b) Area of triangle = 
c) w =2
Area of triangle = 3w = 3*2 = 6
The area is given by
A = (5 + 2x) * (10 + 2x) - 50
Rewriting we have:
A = 50 + 10x + 20x + 4x ^ 2 -50
Rewriting we have:
A = 4x ^ 2 + 30x
Substituting the value of the area we have:
54 = 4x ^ 2 + 30x
Rewriting:
4x ^ 2 + 30x - 54 = 0
We look for the roots:
x1 = -9
x2 = 3/2
We take the positive root:
x2 = 3/2
Answer:
the value of x is:
x = 3/2
Answer:
C.
Step-by-step explanation:
PEMDAS
-6 x 12p = -72p
-6 x -8n = 48n
48n - 47n = n
