A line passes through the points (p, a) and (p, –a) where p and a are real numbers. If p=0, what is the y-intercept? Explain your reasoning.
<span>p - as "x" never changes with the value of "y", so no matter what y is, x is always "p", so when y is 0, x = p </span>
<span>slope of the line </span>
<span>change in y over the change in x </span>
<span>(-a - a) / (p - p) = infinity - or a vertical line </span>
<span>equation of the line </span>
<span>y = p </span>
<span>slope of a line perpendicular to the given line </span>
<span>inverse of the orig slope or (p - p)/(-a - a) = 0</span>
Answer:
Kevin has 5 black kittens.
Step-by-step explanation:
Anna only has four kittens and two are black which makes it half of her litter. So we would do the same with Kevin. Since he has ten kittens half of them would be black.
Answer:
480 students
Step-by-step explanation:
600 x .80
Answer:
A) 50
B) 20
C) 20
Step-by-step explanation:
To solve the first question, we can multiply both sides by 10.
Thus, we get:
6x = 300.
Then, divide by 6, to get x:
x = 50.
You can do the same thing to all of these questions.
I've already checked the answers, but if you don't trust them, just pluck the values in.
For example, let's check the answer for question A.
0.6*50 is supposed to equal 30.
Does it equal? Yes, so we know that the answer is correct.
Answer:
x = 2 , y = 11
Step-by-step explanation:
the diagonals of a parallelogram bisect each other , then
PT = TR , that is
y = 5x + 1 → (1)
QT = TS , that is
2y = 6x + 10 → (2)
substitute y = 5x + 1 into (2)
2(5x + 1) = 6x + 10
10x + 2 = 6x + 10 ( subtract 6x from both sides )
4x + 2 = 10 ( subtract 2 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
substitute x = 2 into either of the 2 equations for corresponding value of y
substituting into (1)
y = 5(2) + 1 = 10 + 1 = 11
