12 is sq root of 144
Hope that helps
Answer:
a = -6/5
Step-by-step explanation:
For the graphs to be parallel the graphs should have same slope(m)
So we rewrite both our equations in the slope-intercept form then compare the slope to find the value of a like this,
This equation is the slope-intercept form we convert both our equations in this form firstly taking equation 1
![5y=-2x+10\\\\y=\frac{-2x+10}{5} \\\\y=\frac{-2}{5}x+\frac{10}{5} \\\\y=\frac{-2}{5}x+2](https://tex.z-dn.net/?f=5y%3D-2x%2B10%5C%5C%5C%5Cy%3D%5Cfrac%7B-2x%2B10%7D%7B5%7D%20%5C%5C%5C%5Cy%3D%5Cfrac%7B-2%7D%7B5%7Dx%2B%5Cfrac%7B10%7D%7B5%7D%20%5C%5C%5C%5Cy%3D%5Cfrac%7B-2%7D%7B5%7Dx%2B2)
so if we compare it with y = mx + b the coefficient of x is m and hence
m= -2/5 now solving for equation 2
![3y=ax-15\\\\y=\frac{ax-15}{3} \\\\y=\frac{ax}{3}-\frac{15}{3} \\\\y=\frac{a}{3}x-5\\\\](https://tex.z-dn.net/?f=3y%3Dax-15%5C%5C%5C%5Cy%3D%5Cfrac%7Bax-15%7D%7B3%7D%20%5C%5C%5C%5Cy%3D%5Cfrac%7Bax%7D%7B3%7D-%5Cfrac%7B15%7D%7B3%7D%20%20%5C%5C%5C%5Cy%3D%5Cfrac%7Ba%7D%7B3%7Dx-5%5C%5C%5C%5C)
so here if we compare it with y = mx + b the coeffienct of x is a/3 so since parallel lines have same slope by the formula:
![m_1=m_2](https://tex.z-dn.net/?f=m_1%3Dm_2)
we equation both the slope to each other to find the value of a like this,
![m_1=m_2\\\\\frac{-2}{5}=\frac{a}{3}\\\\-2(3)=a(5)\\\\-6=5a\\-6/5=a](https://tex.z-dn.net/?f=m_1%3Dm_2%5C%5C%5C%5C%5Cfrac%7B-2%7D%7B5%7D%3D%5Cfrac%7Ba%7D%7B3%7D%5C%5C%5C%5C-2%283%29%3Da%285%29%5C%5C%5C%5C-6%3D5a%5C%5C-6%2F5%3Da)
so the value of a equals
a= -6/5
Answer:
x<8
Step-by-step explanation:
x+7<15
x<15-7
x<8
![hope \: it \: helps](https://tex.z-dn.net/?f=hope%20%5C%3A%20it%20%5C%3A%20helps)
Jackson’s puppy would gain 80 pounds in 40 weeks
Answer:
He missed 10 questions and got 30 right
Step-by-step explanation:
So we could do 0.75 times 40 and we would get 30
So he got 30 questions right which isn't too bad