Answer:
10 - 3n = 31
n = -7
Step-by-step explanation:
10 - 3n = 31
-3n = 31 - 10
-3n = 21
n = 21/-3
Since the number of members attending is 40, you can eliminate 17 as a possible answer, as it is smaller than 40. You can also eliminate 240 because 40 members is 60%, so the answer must be less than 80. You are now left with 67 and 73.
It is (a) because 40 divided by 67 = 0.597. 0.597 x 100 = 59.7% which is rounded to 60% of the club
Answer:
A) JK and LM will be parallel to each other.
Step-by-step explanation:
On reflection on
line the x co-ordinate changes with y co-ordinate and y co-ordinate changes with x co-ordinate

Points on line EF

On reflection of this line on
the new points we get for line JK are

Points on line GH

On reflection on y=x line the new points we get for line LM are

Slope of line JK

Slope of line LM

For two line to be parallel, their slopes will be same.

Since slopes of lines JK and LM are same therefore we can say that these are parallel to each other.
Answer:
1. x^2+12x+32
Step-by-step explanation:
(x+8)(x+4)
x(x+4)+8(x+4)
x^2+4x+8x+32
x^2+12x+32
Short AnswerThere are two numbers
x1 = -0.25 + 0.9682i <<<<
answer 1x2 = - 0.25 - 0.9582i <<<<
answer 2 I take it there are two such numbers.
Let one number = x
Let one number = y
x + y = -0.5
y = - 0.5 - x (1)
xy = 1 (2)
Put equation 1 into equation 2
xy = 1
x(-0.5 - x) = 1
-0.5x - x^2 = 1 Subtract 1 from both sides.
-0.5x - x^2 - 1 = 0 Order these by powers
-x^2 - 0.5x -1 = 0 Multiply though by - 1
x^2 + 0.5x + 1 = 0 Use the quadratic formula to solve this.

a = 1
b = 0.5
c = 1

x = [-0.5 +/- sqrt(0.25 - 4)] / 2
x = [-0.5 +/- sqrt(-3.75)] / 2
x = [-0.25 +/- 0.9682i
x1 = -0.25 + 0.9682 i
x2 = -0.25 - 0.9682 i
These two are conjugates. They will add as x1 + x2 = -0.25 - 0.25 = - 0.50.
The complex parts cancel out. Getting them to multiply to 1 will be a little more difficult. I'll do that under the check.
Check(-0.25 - 0.9682i)(-0.25 + 0.9682i)
Use FOIL
F:-0.25 * -0.25 = 0.0625
O: -0.25*0.9682i
I: +0.25*0.9682i
L: -0.9682i*0.9682i = - 0.9375 i^2 = 0.9375
NoticeThe two middle terms (labled "O" and "I" ) cancel out. They are of opposite signs.
The final result is 0.9375 and 0.0625 add up to 1