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.
Distribute Property 5(x+6) basically means 5×x + 5×6 = 5x+30
37= -3+5x+30 (subtract 30 on both sides)
7=-3+5x (add three on both sides)
10= 5x (divide 5 on both sides)
x=2
Answer:
x = 0
y = 2
Step-by-step explanation:
3x + 9y = 18 ---------eqn 1
y = x + 2---------eqn 2
Substitute eqn 2 into eqn 1, for the value of y
3x + 9( x + 2) = 18
3x + 9x + 18 = 18
12x + 18 = 18
12x = 18 -18
12x = 0
Divide both sides by 12 , to get the value of x.
12x/ 12 = 0/12
x = 0
Substitute x = 0 into eqn 2
y = x + 2
y = 0 +2
y = 2
Hint: to confirm the values
x = 0
y = 2
Let's take eqn 1 ,
3x + 9y = 18
3(0) + 9(2)
= 0 + 18
= 18
Correct
Let's take eqn 2
y = x + 2
Let's find y
y = 0 + 2
y = 2
Correct too
Answer & Explanation:
To find the direction cosines of the vector a is need to divided the corresponding coordinate of vector by the length of the vector. The coordinates of the unit vector is equal to its direction cosines. Property of direction cosines. The sum of the squares of the direction cosines is equal to one.
