Answer:
D. a is equal to 
Step-by-step explanation:
Let us assume that segment PQ is 8 units, so that its midpoint M is at 4 units to both P and Q.
Given that X is the midpoint of PM, this implies that X is at 2 units to both P and M.
Then;
PX = aPQ
⇒ = a x 8
= 8a
Therefore, a must be equal to , so that;
PX = 8a
= 8 x
= 2 units
Thus, a is equal to is the correct option.
The prism is (8 in)/(1/4 in/cube) = 32 cubes by (4 in)/(1/4 in/cube) = 16 cubes by (9/4 in)/(1/4 in/cube) = 9 cubes.
The number of cubes needed to fill the prism is
.. 32 * 16 * 9 = 4608
Answer:
what do we have to do
Step-by-step explanation:
Answer:
The area of the triangle is 48 unit²
Step-by-step explanation:
The given vertices of the triangle are;
(-2, 5), (-4, -3), and (3, 1)
The formula for finding the area of a triangle with given coordinates of the vertices is as follows;
Substituting gives;
The area of the triangle = 48 unit².
Answer:
x = (-3±√5)/2
Step-by-step explanation:
Matching the given equation to the pattern ...
... ax² +bx +c = 0
we see that a=1, b=3, c=1.
The solution to the above pattern is given by the quadratic formula ...
... x = (-b±√(b²-4ac))/(2a)
Substituting the values of a, b, c that we found, the formula gives ...
... x = (-3±√(3²-4·1·1))/(2·1)
... x = (-3±√5)/2
