Answer:
(A)(12, 9)
Step-by-step explanation:
Provided:
The starting point of the stencil's left edge is at (2, -1).
A designated point, referred to as Q on the stencil, is located at (4, 1).
Point Q divides the stencil in a 1:4 ratio.
We are tasked with determining the endpoint of the stencil.
Mathematically, Point Q segments the stencil internally in a 1:4 ratio.
For calculating the internal division of a line segment with initial point 
and end point 
in the ratio m:n, we apply the formula
, 
, Q(x,y)=(4,1), m:n=1:4
Consequently:
The selected choice is A.
If 49 cars are lined up and extend 528 feet, what would the average length per car be, assuming they are bumper-to-bumper? The result can be calculated as follows: we know the number of cars (49) and the total length (528 feet). Therefore, the average length is calculated as 528 feet divided by 49, which gives an average length of about 10.78 feet.
The correct answer is option D. Detailed explanation: As per the attached image. Observing the image, the coordinates are outlined. To determine the reflection of a point across a line, the distances from the points to the line must be equal. Point A(1,1) sits on the line x = 1, meaning its reflection A' remains at A'(1,1). Point C(2,5) is a distance of 1 from x = 1 on the right, hence its reflected position C' shifts left by the same distance — subtracting 1 from its x-coordinate places it at C'(1 - 1, 5) or C'(0, 5). Point B(4,1) is positioned 3 from x = 1 on the right; therefore, its reflection B' would also move left by 3 – leading to B'(1 - 3, 1) or B'(-2, 1). Plotting A', B', and C' confirms option D as the correct choice.
Response:
A 2:3
Detailed Explanation:
10:15
which is equivalent to 10/15
which simplifies to 2/3
I hope this assists you
<3
Red
