Answer:
(4, 3)
Step-by-step explanation:
If this point is reflected about the x-axis, the x-coordinate does not change. The original y-coordiate, -3, becomes +3.
A': (4, 3)
Answer:
Below in bold
Step-by-step explanation:
The sequence is:
3, x, y, 18
If this is an A P then
x - 3 = y - x
2x - y = 3 (A) and
y - x = 18 - y
2y - x = 18 (B)
Multiply (A) by 2:
4x - 2y = 6 (C)
Adding B and C:
3x = 24
x = 8.
and
2y - 8 = 18
2y = 26
y = 13.
So x = 8 and y = 13.
b) ar + ar^2 = 6ar^3 where a = first term and r = common ratio
Divide by a:
r + r^2 = 6r^3
6r^3 - r^2 - r = 0
r(6r^2 - r - 1) = 0
r(3r + 1)(2r - 1) = 0
So the 2 possible values of r
= -1/3 and 1/2.
i) The common ratio is positive so it must be 1/2.
Second term ar = 8
1/2 a = 8
a = 16.
So the first 6 terms are:
16, 8, 4, 2, 1, 1/2.
Real quick so I can sleep. it is because obtuse is over 90 degrees
Answer:
100 hours
Step-by-step explanation:
Law firm A = 350x + 22,000,
Law firm B = 410x+16,000
Where,
x = number of hours of legal assistance
What number of hours of legal assistance makes the equation 350x+22,000 = 410x+16,000 true?
Equate the legal fees of the two law firms
350x + 22,000 = 410x + 16,000
Collect like terms
350x - 410x = 16,000 - 22,000
-60x = -6,000
Divide both sides by -60
x = -6,000 / -60
= 100
x = 100 hours
The number of hours of legal assistance makes the equation true is 100 hours
Answer:
the x and y is 6 and -4 respectively
Step-by-step explanation:
The computation of solving the system of equations is given below:
Given that
5x - 7y = 58
And,
y = -x + 2
Put y value in the first equation
5x - 7(-x + 2) = 58
5x + 7x - 14 = 58
12x = 58 + 14
12x = 72
x = 6
So y = -6 + 2
= -4
Hence, the x and y is 6 and -4 respectively
