Answer:
y = 7
x = 12
Step-by-step explanation:
14x+7y=217, then 14x = 217 - 7y
14x+3y=189, then 14x = 189 - 3y
217 - 7y = 189 - 3y
add 7y to each side of the equation:
4y + 189 = 217
subtract 1890 from each side:
4y = 28
divide both sides by 4:
y = 7
14x + 3(7) = 189
subtract 21 from each side:
14x = 168
divide both sides by 14:
x = 12
Hey there! I'm happy to help!
Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept. We already have the slope, so our equation so far is y=3/2x+b. We just need to find the b for it to be complete.
To do this, we plug in a point on the line and solve for b. We have a point (-3,-4), so let's use it and solve.
-4=3/2(-3)+b
Undo parentheses.
-4=-9/2+b
Add 9/2 to both sides
b=1/2
Therefore, our equation is y=3/2x+1/2.
Have a wonderful day! :D
Answer:
L= 10 in
W= 7 in
Step-by-step explanation:
Given data
let the widht be x
W= x
L= x+3
P=34 in
We know that
P=2L+2W
34= 2(x+3)+ 2(x)
34= 2x+6+2x
collect like terms
34= 4x+6
34-6= 4x
28= 4x
divide both sides by 4
x= 28/4
x=7
Put x= 7 in
L= x+3
L= 7+3= 10
Hence the width is 7in the length is 10 in
Hi,
m = (y-y₀)/(x-x₀)
m = (-5-3)/(-2-2)
m = -8/-4
m = 2
For point (2,3) ⇒ x₀ = 2 and y₀ = 3
y-y₀ = m(x-x₀)
y-3 = 2(x-2)
For point (-2,-5) ⇒ x = -2 and y = -5
-5-3 = 2(-2-2)
-8 = 2(-4)
-8 = -8 ⇒ True
Answer:
C. The equation is y-3 = 2(x-2)
