Answer:
Option C.
Step-by-step explanation:
It is given that the dilation rule is
. It means the center of dilatation is point Q and scale factor is 2.5.
Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.

It is given that QU=4 and scale factor = 2.5.

Multiply both sides by 4.


We know that



The distance between U' and U is 6 units.
Therefore, the correct option is C.
Answer:
Distance LM = 5.20 unit (Approx.)
Step-by-step explanation:
Given coordinates;
L(1, 4, 7) and M(2, 9, 8)
Find:
Distance LM
Computation:
Distance between three-dimensional plane = √(x2 - x1)² + (y2 - y1)² + (z2 - z1)²
Distance LM = √(2 - 1)² + (9 - 4)² + (8 - 7)²
Distance LM = √(1)² + (5)² + (1)²
Distance LM = √1 + 25 + 1
Distance LM = √27
Distance LM = 3√3 unit
Distance LM = 3(1.732)
Distance LM = 5.196
Distance LM = 5.20 unit (Approx.)
Answer: $7350
Step-by-step explanation:
$3675 x 2 = $7350
Ok so you know the first garden needs 1 and 2/5 bags of soil. Now first we need to find one fifth of that. So let's make this mied number into an improper fraction:
1 2/5 = 7/5
Ok now let's divide 7/5 by 5:
7/5 divided by 5/1 = 7/25
So Jared will need 7/25 bags of soil for his second garden, but we're STILL not done. now we have to add for the TOTAL.
1 2/5 + 7/25 > 7/5 + 7/25 > 7 x 5 = 35 > 35/25 + 7/25 = 42/25
_________
5x 5 = 25
Now let's simplify it to 1 and 17/25