Assuming you are supposed to solve for the variable "t",
9 - (t ÷ 6) = 5
Subtract 9 from both sides.
9 - 9 - (t ÷ 6) = 5 - 9
Simplify.
- (t ÷ 6) = -4
Distribute -1 throughout the parenthesis.
-t ÷ -6 = -4
Multiply both sides by -6.
-t ÷ -6 × -6 = -4 × -6
Simplify.
-t = 24
Divide both sides by -1.
-t ÷ -1 = 24 ÷ -1
Simplify.
t = -24
I think it might be 2x^2 + 2x + 2xy
100=100%
15=X
15/100 x 100= 15%
Easy!
You take the total number of students (55) then you remove the people that only like math and remove the people that only like English and remove the people that like none of them and what’s left is how many like both subjects.
55-15-18-5=17 students that like both subjects!
Line 1 and Line 4 are parallel lines
Solution:
General equation of a line:
y = mx + c
where m is the slope and c is the y-intercept of the line.
<u>To find the slope of each line:</u>
Line 1: ![y=-\frac{3}{4} x-6](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B4%7D%20x-6)
Slope ![(m_1)=-\frac{3}{4}](https://tex.z-dn.net/?f=%28m_1%29%3D-%5Cfrac%7B3%7D%7B4%7D)
Line 2: ![y-7=-4(x+9)](https://tex.z-dn.net/?f=y-7%3D-4%28x%2B9%29)
![y-7=-4x-36](https://tex.z-dn.net/?f=y-7%3D-4x-36)
Add 7 on both sides, we get
![y=-4x-29](https://tex.z-dn.net/?f=y%3D-4x-29)
Slope ![(m_2)=-4](https://tex.z-dn.net/?f=%28m_2%29%3D-4)
Line 3: ![y=-2 x+6](https://tex.z-dn.net/?f=y%3D-2%20x%2B6)
Slope ![(m_3)=-2](https://tex.z-dn.net/?f=%28m_3%29%3D-2)
Line 4: ![x+\frac{4}{3} y=-5](https://tex.z-dn.net/?f=x%2B%5Cfrac%7B4%7D%7B3%7D%20y%3D-5)
Subtract x from both sides, we get
![\frac{4}{3} y=-x-5](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20y%3D-x-5)
Multiply by
on both sides, we get
![y=-\frac{3}{4}x-\frac{15}{4}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B4%7Dx-%5Cfrac%7B15%7D%7B4%7D)
Slope ![(m_4)=-\frac{3}{4}](https://tex.z-dn.net/?f=%28m_4%29%3D-%5Cfrac%7B3%7D%7B4%7D)
<em>Two lines are parallel, if their slopes are equal.</em>
From the above slopes,
![m_1=m_4](https://tex.z-dn.net/?f=m_1%3Dm_4)
Therefore Line 1 and Line 4 are parallel lines.