The correct answer would be that the statement is true. <span>The point-slope form of a line is y + y1 = m(x + x1), where m is the slope and (x1, y1) is a point on the line. This form of the equation of the line is helpful especially when you are asked to find the equation of the line given a point and the slope.</span>
Answer:
A. -1/8x + 3/16
Step-by-step explanation:
-1/2(1/4x - 3/8)
Distribute the -1/2 into both the terms in the equation.
-1/2 * 1/4x = -1/8x
-1/2 * -3/8 = 3/16
Now combine both the expressions.
This makes your answer A,

Answer: -14
Step-by-step explanation:
You should get the right answer by following PEMDAS
Answer:
x = - 2, x = 9
Step-by-step explanation:
Given
f(x) = 
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
x² - 7x - 18 = 0
(x - 9)(x + 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
The excluded values are x = - 2, x = 9
Answer:
The missing leg is 8 feet and the hypotenuse is 10 feet.
Step-by-step explanation:
Use the Pythagorean theorem which is A²+B²=C².
So we know the first side is 6 so plug that into the equation which would now be 6²+B²=C².
Because the hypotenuse is 2 feet longer than the missing leg we can plug in C=B+2 which would now make it 6²+B²=(B+2)².
Now we solve what we have so far which would now make the equation 36+B²=B²+4B+ 4.
Now we can figure out that 4B=32.
Now isolate the variable, B, by divide both side of 4B=32 by 4.
This gives us B=8.
So the other side is 8 feet.
Since we know that the hypotenuse is 2 feet longer than the leg we just add 2 feet to the original 8 feet to find the hypotenuse to be 10 feet.