The two are perpendicular to each other because the two slopes are negative reciprocals
(Y2 - Y1) / (X2 - X1)
First slope:
( 1 - (-1)) / (-11 - (-6))
2/-5
Second slope:
(-13 - (-8)) / (-5 - (-3))
-5/-2 or 5/2
You know when two aliens are perpendicular when you multiply the two slopes and get -1 as the product
-2/5 X 5/2 = -1
Thus the two lines are perpendicular to each other.
Answer:
m∠E=57°
Step-by-step explanation:
∠FDE=∠FED=(4x+1)° (base angles of isos triangle)
2(4x+1)+(5x-4)=180 (angle sum of triangle)
8x+2+5x-4=180
13x-2=180
13x=180+2
=182
x=182÷13
=14
Hence, m∠E = (4x+1)°
= [4(14)+1]°
= (56+1)°
= 57°
11. Take the logarithm, base X.
a² - ab = 10
Since we are given that b = a - 2, we can substitute for b to get
a² - a(a -2) = 10
a² - a² + 2a = 10 . . . . . eliminate parentheses
a = 5 . . . . . . . . . . . . . . simplify, divide by 2
_____
Check: a² = 5² = 25
ab = 5·3 = 15
X^25/X^15 = X^10 . . . . . the answer works
Answer:
7069.5 ft^2
Step-by-step explanation:
Step one:
given data
dimension
radius of 15 feet
height of 60 feet
Required
The surface area of the tank
Step two:
substitute
A= 7069.5 ft^2
Answer:
B, C, C
Step-by-step explanation:
