Answer: y=-6
Step-by-step explanation:
First convert the equation -2y= 8 into y intercept form by divide both sides by -2.
-2y = 8
y= -4 Now that the line is in y intercept form we can now determine the slope.The slope is 0 so -4 in this case is the y intercept.
Remember lines that a parallel needs to have the same slope but different y-intercepts.
So if the slope of the line y=-4 is 0 then the slope of line that passes through the point (2,-6)
So using the y intercept form formula which says that y=mx+b where m is the slope and b is the y-intercept, we could plot in the values for y and x and solve for b to write the equation.
y is -6 and x is 2
-6 = 0(2) + b
-6 = 0 + b
b= -6
In this case the y intercept is -6 so since the slope is zero we will have the equation y = -6
Answer:
Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proof is below.
Step-by-step explanation:
Given:
In Δ PQT
PQ = 30 ft
QT = 28 ft
TP = 20 ft
In Δ QRS
QR = 15 ft
RS = 14 ft
SQ = 10 ft
To Prove:
Δ PQT ~ Δ QRS
Proof:
First we consider the ratio of the sides
..............( 1 )
..............( 2 )
..............( 3 )
So By equation ( 1 ), ( 2 ) and ( 3 ) we get

Now in Δ PQT and Δ QRS we have

Which are corresponding sides of a similar triangle in proportion.
∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved
8 16/1000 = 8 2/125
Keep whole number the same, divide the numerator and denominator by 8.
“huh” is the interjection!
a) 4x +6
Add up all the sides to calculate perimeter