The entire race is 1 full race.
One full race is 1.
He ran 3/8 of 1, so he ran 3/8.
He needs to run the rest of the race.
The rest is unknown, so we call it x.
When you add 3/8 to the unknown, you get the full race.
The equation is
x + 3/8 = 1
Change 1 to a denominator of 8.
x + 3/8 = 8/8
Subtract 3/8 from both sides.
x = 5/8
Answer: He still needs to run 5/8 of the race.
Answer:
32/243
Step-by-step explanation:
do 2 to the 5th and put it above 3 to the 5th
Answer:
The value of x is -29.
Step-by-step explanation:
We are given an algebraic equation and have one goal: solve for x. We can use simplifying techniques as well as addition and subtraction to solve this equation.

Now that we have solved for x, we can plug in -29 to see if we get a true statement.

Because we ended up with a true statement, we have determined that the value of x is -29.
Answer:
The standard form of the equation for the conic section represented by
is:

Step-by-step explanation:
We know that:
is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.
Given the equation

Rewriting the equation in the standard form

Thus,
The vertex (h, k) = (-5, 12)
Please also check the attached graph.
Therefore, the standard form of the equation for the conic section represented by
is:

where
vertex (h, k) = (-5, 12)
Answer:
XY = 10 cm
Step-by-step explanation:
XY is a midsegment and is half the length of the 3rd side DE, that is
XY =
DE =
× 20 = 10 cm