Answer:
B. x = 14
Step-by-step explanation:
1. Add 9 to both sides of the equation
x - 9+9 = 5+9
x = 14
hope this helps :)
Answer:

Step-by-step explanation:

This is written in the standard form of a quadratic function:

where:
- ax² → quadratic term
- bx → linear term
- c → constant
You need to convert this to vertex form:

where:
To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

Using your original equation, identify the a, b, and c terms:

Insert the known values into the equation:

Simplify. Two negatives make a positive:

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

Simplify using PEMDAS:

The value of y is -6 (3,-6). Insert these values into the vertex form:

Insert the value of a and simplify:

:Done
I hope you can read cursive. Hope this helps!
Answer:
24
Step-by-step explanation:
We are given a leg and the hypotenuse, and we can put what we have into the pythagorean theorem formula:
a^2 + b^2 = c^2
7^2 + b^2 = 25^2
49 + b^2 = 625
b^2 = 576
b = 24
Answer:
True
Step-by-step explanation:
Z-score may be defined as a position of the raw score in regard to the distance from its mean when it is measured in the units of standard deviation. Z-score is considered as positive, when the values is above the mean. And when it is below the mean, it is considered as negative.
Another name of a z-score is standard score. Z-score can be measured using the relation :

where, z = z-score
x = raw score
μ = population mean
σ = population standard deviation
Thus from the formula we can see how many standard deviation the score is from a men of the distribution by looking at the corresponding z-score.