Answer:
No real solution
Step-by-step explanation:
First off I'm assuming that the 1 or -1 at the begging is just the problem number:
First you distribute on both sides
36 - 18x - 3 = 4 - 18x + 30
Then combine like terms
33 - 18x = 34 - 18x
Then rearrange the terms by adding 18x to both sides and subtracting both sides by 33. You should get:
0 = 1
When you add positive 18x it cancels the -18x out. And 34 - 33 is 1. Obviously, zero cannot equal 1 so there is no real solution
Answer:
The nth term is given by: 
The 30th term is 78.
Step-by-step explanation:
Arithmetic sequence:
The nth term of an arithmetic sequence is given by:
In which 
is the first term and d is the common difference between terms.
-9, -6, - 3,0
This means that 
. So
30th term:
The 30th term is 78.
The constant rate of change is how much y increases every time x increases by 1. We might be confused because in this table, we see a number of points, but we don't see any consecutive x-values, so it might seem difficult. But no worries!
All you have to do is calculate using the formula, Δy divided by Δx. What does Δy divided by Δx mean?
All we have to do is look at two points. Let's take, for example, (-2, -10) and (2, -8).
-2 and 2 are the x-values of the points and -10 and -8 are the y-values of the points as coordinates are in the format of (x, y).
All we have to do is minus the y-coordinates and then proceed the minus the x-coordinates. The order does not matter, as in you can do either of these ways:
[(-10) - (-8)] ÷ [(-2) - (2)] = -2 / -4 = 1/2
or
[(-8) - (-10)] ÷ [(2) - (-2)] = 2 / 4 = 1/2
So the constant rate of change or the answer is 1/2.
Answer:
The values of variables x and m are 11 and 17
Step-by-step explanation:
The question has missing details as the diagram of the trapezoid isn't attached.
(See attachment).
Given that trapezoid CHLE is isosceles then the angles at the base area equal (4x)
And
The angles at the top are also equal
8m = 11x + 15
At this point, the four angles in the trapezoid are 8m, 11x + 15, 4x and 4x..
The sum of interior= 360
So,
11x + 15 + 8m + 4x + 4x = 360
Collect like terms
11x + 4x + 4x + 8m = 360 - 15
19x + 8m = 345
Substitute 11x + 15 for 8m
19x + 11x + 15 = 345
30x + 15 = 345
30x = 345 - 15
30x = 330
Divide through by 30
30x/30 = 330/30
x = 11
Recall that 8m = 11x + 15;
8m = 11(11) + 15
8m = 121 + 15
8m = 136
Divide through by 8
8m/8 = 136/8
m = 17
Hence, the values of variables x and m are 11 and 17
