Answer:
8.60 units (3 s.f.)
Step-by-step explanation:
The distance between 2 points is given by the formula:

Thus using the above formula,
Distance between (-10, 9) and (-5, 2)

X 3/5 =2x+15=2x=15-2x=13
answer 13
To solve, we will follow the steps below:
3x+y=11 --------------------------(1)
5x-y=21 ------------------------------(2)
since y have the same coefficient, we can eliminate it directly by adding equation (1) and (2)
adding equation (1) and (2) will result;
8x =32
divide both-side of the equation by 8
x = 4
We move on to eliminate x and then solve for y
To eliminate x, we have to make sure the coefficient of the two equations are the same.
We can achieve this by multiplying through equation (1) by 5 and equation (2) by 3
The result will be;
15x + 5y = 55 ----------------------------(3)
15x - 3y =63 --------------------------------(4)
subtract equation (4) from equation(3)
8y = -8
divide both-side of the equation by 8
y = -1
Step-by-step explanation:
Since, roots are - 3 & 2
Therefore, (x + 3) & (x - 2) would be factors.
Leading coefficient is 5
Hence, required quadratic equation is:

Answer:
The measure of angle C is 
Step-by-step explanation:
we know that
If AB || DC
then
-----> supplementary angles by consecutive interior angles
and remember that the sum of the interior angles in a trapezoid is equal to 360 degrees

step 1
Find the measure of angle D
substitute the measure of angle A
step 2
Find the measure of angle C

substitute the values

