Answer:
3x + 4 = 12 :- x = 8 / 3
Step-by-step explanation:
3x + 4 = 12
Move all terms not containing x to the right side of the equation.
Subtract 4 from both sides of the equation.
3x = 12 - 4
Subtract 4 from 12.
3x = 8
Divide each term by 3 and simplify.
Divide each term in 3x = 8 by 3.
3x / 3 = 8 / 3
Cancel the common factor of 3.
Divide x by 1.
x = 8 / 3
The result can be shown in multiple forms.
Exact Form:
x = 8 / 3
Decimal Form:
x = 2.6
Mixed Number Form:
x = 2 2/3
Answer:
x=2
Step-by-step explanation:
i would set up a system of equation using the pythagorean theorem:
1^2+x^2=z^2
4^2+x^2=y^2
Add up these equations to get:
17+2x^2=y^2+z^2
But notice that
y^2+z^2=5^2
So you can substitute
17+2x^2=25
2x^2=8
x^2=4
x=2
:)
Answer:
6 * p ≤ 30
p ≤ 5
The maximum number of pies she can buy is 5
Step-by-step explanation:
Let p equal the number of pies she will buy
Each pie costs 6 dollars. She will spend 6 * p
The cost must be less than or equal to 30 dollars
6 * p ≤ 30
To solve divide each side by 6
6 * p/6 ≤ 30/6
p ≤ 5
Using the unit circle, the coordinates of 3π/4 is :
![(-\frac{\sqrt[]{2}}{2},\frac{\sqrt[]{2}}{2})](https://tex.z-dn.net/?f=%28-%5Cfrac%7B%5Csqrt%5B%5D%7B2%7D%7D%7B2%7D%2C%5Cfrac%7B%5Csqrt%5B%5D%7B2%7D%7D%7B2%7D%29)
Note that tangent function can be solved using the formula y/x
where x and y are the coordinates of the angle.
This will be :
![\frac{\sqrt[]{2}}{2}\div(-\frac{\sqrt[]{2}}{2})=-1](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B%5D%7B2%7D%7D%7B2%7D%5Cdiv%28-%5Cfrac%7B%5Csqrt%5B%5D%7B2%7D%7D%7B2%7D%29%3D-1)
The answer is -1
