Answer: x = √105
Step-by-step explanation:
a² + b² = c²
8² + x² = 13²
64 + x² = 169
x² = 105
x = √105
Answer:

Step-by-step explanation:
In standard form
, any point the line passes through will make the inequality true. We can simply use any point given to find the equation of the line:
We can write the following system of equations from two points from the table:

Solving, we get:
For
,

Therefore, our equation is:
.
Answer:
Emily because Lindsay is at the movies so she can't ride the Ferris Wheel. Janelle is too afraid to go that high. Emily only doesn't like caramel apples so she can still go on the Ferris Wheel.
The answer to the question is 2:3
Answer:
Step-by-step explanation:
A standard form equation is when it is set up
Ax + By = C.
6x + 2y = 4
A slope-intercept form equation is when it is set up y=mx+b.
Y = - 3x + 2
In order to go from one form to another, all you have to do is change the order of the given numbers. First you want to move the Ax to the opposite side of the equation, by either adding or subtracting it. At this point your equation will be set up By = -Ax + C. Then you want to divide the B from the By and the rest of the equation. Therefore you will have y = - Ax/B + C/B. This is the same thing as the slope-intercept form, just a few of the letters are different.
Example 1:
Change from standard to slope form
8x + 4y = 16
8x + 4y = 16 first subtract 8x
4y = -8x + 16 then divide all by 4
y = -2x + 4 slope form
Example 2:
6x + 3y = 21
6x + 3y = 21 subtract 6x
3y = -6x + 21 then divide all by 3
y = -2x + 7 slope form