Answer: x = ±√145
Step-by-step explanation:
√(17 + x) × √(17 - x) = 12
√(17 + x) (17 - x) = 12
Squaring both sides,
(√(17 + x) (17 - x))^2 = 12^2
(17 + x) (17 - x) = 144
17(17 - x) + x(17 - x) = 144
289 - 17x + 17x - x^2 = 144
x^2 = 289 - 144
x^2 = 145
x = ±√145
2+6−16=0
Do the addition first because of using PEMDAS
P= parenthesis
E= exponents
M= multiplication
D= division
A= addition
S= subtraction
8-16= 0
-8= 0
Answer: -8= 0 , does not equal to each other.
Step-by-step explanation:
the slope = (0+15)/(-1-4)=15/(-5)= -3
the Equation :
y+15= -3(x-4)
or
y+15 = -3x+12
y +3x=12-15
3x + y = -3
so, the correct answer is II only
Answer:
Step-by-step explanation:
Rising 30 feet for every 400 feet of track is not a very large angle of elevation. We set this up as a right triangle to use right triangle trig to solve for the missing angle. The height is 30 and the hypotenuse is 400. The height is the side opposite the angle in question, and the hypotenuse is the hypotenuse! This is the sin ratio. Setting up the ratio using our info:

When you are looking for a missing angle measure, as we are here, use the 2nd-->sin buttons to find the inverse of sin, which looks like this:

Enter in the fraction 30/400 after the parenthesis and then hit enter to get the angle measure of 4.3 degrees.
Answer:
Step-by-step explanation:
f(x)= (x - 3)(x - 5)
f(x) = x^2 - 5x - 3x + 15
f(x) = x^2 - 8x + 15
Answer is A