Answer:
D'G' = 52.5 units
Step-by-step explanation:
Since the dilatation is centred at the origin then multiply the original coordinates by the scale factor 3.5
D' = (1 × 3.5, 7 × 3.5 ) = (3.5, 24.5 )
G' = (- 8 × 3.5, - 5 × 3.5 ) = (- 28, - 17.5 )
Calculate D'G' using the distance formula
d = 
with (x₁, y₁ ) = D' (3.5, 24.5) and (x₂, y₂ ) = G' (- 28, - 17.5)
D'G' = 
= 
= 
= 
= 52.5 units
To put it into an equation, it would be:
340 = 2x - 100
with x being the amount of sophomores at BHSS.
Solve it:
340 + 100 = 2x
2x = 440
x = 220
The number of sophomores at BHSS is 220.
Answer:

Step-by-step explanation:
we know that
The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points
The formula to calculate the distance between two points is equal to

we have
A(1, 1) and B(7, −7)
Let
(x1,y1)=A(1, 1)
(x2,y2)=B(7, −7)
substitute the given values in the formula





Answer:
y = -9
Step-by-step explanation:
a line perpendicular to the x-axis is a horizontal line (which means the slope is zero) which pass through the y-axis at -9