Yes, EF is parallel to CD. Translation is the simple slide of a shape, therefore it doesn't have an effect on parallel lines.
Answer:
P = (2, 7)
Step-by-step explanation:
You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.
<h3>Equation for P</h3>
For some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...
P = A +q(B -A) = (1 -q)A +qB
<h3>Application</h3>
For q = 3/4, the location of P is ...
P = (1 -3/4)A + 3/4B = (A +3B)/4
Using the given point coordinates, we have ...
P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4
P = (2, 7)
Answer:
Multiply the second equation by −2 to get −8x − 6y = −30.
Step-by-step explanation:
{2x + 6y = 12
{4x + 3y = 15
{2x + 6y = 12
{−8x − 6y = −30 >> New Equation
* Doing this will give you <em>additive</em><em> </em><em>inverses</em><em> </em>of −6y and 6y, which result in 0, so they are both ELIMINATED.
** [3, 1] is your solution.
I am joyous to assist you anytime.
Answer:
28 meters cubed.
Step-by-step explanation:
Since we know that the volume of a sphere is 4/3 the volume of a cylinder, we can multiply 21*4/3. 21*4 will equal 84 and 84/3 would be 28. So the volume of the sphere would be 28 meters cubed.
Answer:
4 + 6√(3)
Step-by-step explanation:
Two right parentheses seem to be missing here. I think you meant:
(-1 - 3 √(3) ) × (-1 - 3 √(3) )
and this is the square of a binomial. The resulting square is:
1 + 6√3 + 3, or 4 + 6√(3)
