Answer:

Step-by-step explanation:
This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.

Where <em>a</em> and <em>b </em> are the legs of the triangle and <em>c</em> is the hypotenuse.
In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:

Substitute these values into the formula.

Solve the exponents.


Add.

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

The third side length is <u>8.</u>
GIVEN
The following values are given:

SOLUTION
The z-score for the x values 9 and 14 can be calculated using the formula:

For x = 9:

For x = 14:

The probability can be calculated as follows:
![P(9\le x\le14)=Pr(-0.34The region that represents the solution is shown below:Therefore, the probability is given to be:[tex]P(9\le x\le14)=0.4671](https://tex.z-dn.net/?f=P%289%5Cle%20x%5Cle14%29%3DPr%28-0.34The%20region%20that%20represents%20the%20solution%20is%20shown%20below%3A%3Cp%3ETherefore%2C%20the%20probability%20is%20given%20to%20be%3A%3C%2Fp%3E%5Btex%5DP%289%5Cle%20x%5Cle14%29%3D0.4671)
The probability is 0.4671.
Answer:
First option: 6y^2sqrt(10) + 12sqrt(5y)
Step-by-step explanation:
3sqrt(10) * (2y^2 + 2sqrt(2y)
= 6y^2sqrt(10) + 6sqrt(20y)
= 6y^2sqrt(10) + 12sqrt(5y)
Answer: First, you identify how many rises and runs the line is from each point on a graph (intersection). Then you take the y's and the x's and do y2-y1/x2-x1 to get the slope!