Answer:
y=3/2x+11/2
Step-by-step explanation:
Hello! Sorry I just saw this
Anyways, let's continue
first, we need to find the equation of the line with the one that is (-2,-4) and (2,2)
first, we need to find the slope
the equation for slope is y2-y1/x2-x1
so let's label the points
x1=-2
y1=-4
x2=2
y2=2
now plug it in
2-(-4)/2-(-2)=6/4=3/2
now, let's turn it into a line
the point-slope form is y-y1=m(x-x1) (m=slope)
now, plug it in
y-(-4)=3/2(x-(-2))
simplify to
y+4=3/2(x+2)
turn into y=mx+b format
y+4=3/2x+3
subtract 4 on both sides
y=3/2x-1
Now for the line that is parallel.
Parallel lines have the same slopes, so you automatically know that the new line will be y=3/2x+b
To make sure (-3,1) is a solution to the point, put 1 as y and -3 as x
1=3/2(-3)+b
1=-9/2+b
add 9/2 on both sides
b=11/2 or 5.5
now, put it into the equation
y=3/2x+11/2
Hope this helps!
Answer:
Step-by-step explanation:
26/8=3.25
Answer:
x = ![\frac{\sqrt[3]{468}}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B468%7D%7D%7B6%7D)
or x =~ -1.29399
Step-by-step explanation:
Calculate the product. x^2 * 6x = 6x^3
divide both sides by 6. x^3 = -13/6
Take the root of both sides. x = ![\frac{\sqrt[3]{468}}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B468%7D%7D%7B6%7D)
Paula's dog is 36 lbs
Use the equation 48=3x+x
Add like terms: 48=4x
Divide: 12=x (x=Carla's dog's weight)
Then Multiply x by 3 to get Paula's dog's weight and you get 36 lbs