A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where
.
In answer a,
, so it is a direct variation.
In answer c,
, so it is a direct variation.
In answer d,
, so it is a direct variation,
Only answer b is left, which means the answer must be 'b'.
We also know 'b' is the answer because it cannot be expressed as <span>
. Instead, it is expressed as </span>
, which is not the same thing and is therefore not a direct variation.
Hope I helped, and let me know if you have any questions :)
Using the Pythagorean Theorem, the height of the equilateral triangle is given by:
A. inches.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean Theorem relates the length of the legs and of a right triangle with the length of the hypotenuse h, according to the following equation:
For this problem, we have that:
- The height is one side of the triangle.
- The other side is half the length, of 7 in.
- The hypotenuse is the length, of 14 in.
Hence the height is found as follows:
inches.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
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Answer:
Step-by-step explanation:
274.04/34=8.06(21)=169.26
To find out how many quarts there are in 40 gallons, we simply need to know how many quarts there are in one gallon. As the name implies, there are 4 quarts in one gallon, so we simply need to multiply 4 * 40 to find the amount of quarts in 40 gallons.
4 * 40 = 160
There are 160 quarts in 40 gallons.
Hope that helped! =)