Answer:
(-1,3)
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
1 = (2-3)/(-2-x)
Multiply each side by (-2-x)
(-2-x) = -1
Multiply by -1
2+x = 1
Subtract 2 from each side
2+x-2 = 1-2
x = -1
A square has all sides of the same length. This means that the length and width are both 14 miles. The area of a square is Length times width, or 14 times 14. This comes out to be 196 miles squared
Answer:
a) 137.9°
b) 12.2° (please refer to explanation because I didn't know what to round to)
Step-by-step explanation:
1a) A supplementary angle will equal 180°, so you must subtract 42.1 from 180
180-42.1 = 137.9
1b) A complementary angle will equal 90°, so you need to use the expression given and add an x for the other part of 90°
8x-20+x = 90
9x-20=90
9x=110
x=12.2
Answer:
Step-by-step explanation:
<u>Given function:</u>
The graph of it should contain the point (3/2, 27)
<u>Substitute the values and verify answer choices:</u>
A) b= 3/2
- 27 = (3/2)^(3/2), False as the right side is irrational
B) b= 27
-
27 = 27^(3/2), False as 27^1 ≠ 27^(3/2), because 1 ≠ 3/2
C) b= x/y
- 27 = (x/y)^(3/2), False as is doesn't make sense
D) b= 9
- 27 = 9^(3/2)
- 27 = (3^2)^(3/2)
- 27 = 3^(2*3/2)
- 27 = 3^3
- 27 = 27
Answer:
Step-by-step explanation:
Remember that the formula for the difference of squares is 
. The formula implies that if (5x - 8) is a factor, then (5x + 8) is the other factor. We can use our formula to find which one is our difference of squares:
We can conclude that the correct answer is .
