You can use the substitution method for this problem
Since -3y+8=x you can
Use the equation -7(-3y+8) -6y=4
You then distribute and solve
21y-56-6y=4
15y=60
Y=4
You then plug y into one of the original equations
X=-12+8
X=-4
(-4,4)
Answer:
d = ![\sqrt{\frac{216W}{35L} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B216W%7D%7B35L%7D%20%7D)
Step-by-step explanation:
Given that W varies jointly as L and d² then the equation relating them is
W = kLd² ← k is the constant of variation
To find k use the condition W = 140 when d = 4 and L = 54, thus
140 = k × 54 × 4² = 864k ( divide both sides by 864 )
= k , that is
k = ![\frac{35}{216}](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7B216%7D)
W =
Ld² ← equation of variation
Multiply both sides by 216
216W = 35Ld² ( divide both sides by 35L )
= d² ( take the square root of both sides )
d = ![\sqrt{\frac{216W}{35L} }](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B216W%7D%7B35L%7D%20%7D)
Answer:
10sqrt3+22
Step-by-step explanation:
Ok, let us imagine it as a sort of rectangle split upon its diagonal.
Using that, we can Pythag it out,
11^2+b^2=14^2
121+b^2=196
b^2=75
b=sqrt75
b=5sqrt3
Ok, using this info, we find the perimeter,
5sqrt3+5sqrt3+11+11
10sqrt3+22
The answer is 10sqrt3+22