Answer:
Q (2.5, -4)
Step-by-step explanation:
Let A (1, -5), C = (10, 1), find Q (x, y), so that AQ:QC = 1:5
AQ = (x - 1, y + 5)
QC = (10 - x, 1 - y)
AQ:QC = 1:5
so 5*AQ = QC
5(x - 1) = (10 - x)
5(y + 5) = 1 - y
Solve them:
5x - 5 = 10 - x
6x = 15
x = 15/6 = 2.5
5y + 25 = 1 - y
6y = -24
y = -24/6 = -4
Then answer is Q (2.5, -4)
Answer:
27
Question:
Find
so that
is a solution to
.
Step-by-step explanation:
So we are asked to replace
with -14 and solve for
in the equation:
.
with
:


Add 42 on both sides:

Divide both sides by 2:
.
So the
-coordinate that corresponding to
is
.
Verify that:
is a point satisfying
.
Replace
with 27 and
with -14:


is true so our work must be right.
Answer:
The sum of first five term of GP is 19607.
Step-by-step explanation:
We are given the following in the question:
A geometric progression with 7 as the first term and 7 as the common ration.


Sum of n terms in a geometric progression:

For sum of five terms, we put n= 5, a = 7, r = 7

The sum of first five term of GP is 19607.
Verification:

Thus, the sum is equal to product of 2801 and 7.