Answer:

Step-by-step explanation:
A line in 2-dimensional space has the following general equation:

Where m is the slope of the line, and b just a number
the slope can be obtaine using th following formula:

The point 2 is the one with the smallest value for x, that is (-10,-7) and the Point 1 is any other that belongs to the line, in this case, (-5,-9)

Resulting that 
To find the other term we can use any other point, I prefer us the first one so...
We have the following equation:

Resulting that b=18
I just have to eval the point (-10,-7) in the equation stated at the beginning knowin that m was calculated previously.
Answer:
x = 55, y = 70, z = 125
Step-by-step explanation:
125 and x are adjacent angles and are supplementary, then
x = 180 - 125 = 55
The triangle is isosceles ( 2 congruent sides ) thus the base angles are congruent, both 55
The sum of the 3 angles in the triangle = 180° , thus
y = 180 - (55 + 55) = 180 - 110 = 70
55 and z are adjacent and supplementary, so
z = 180 - 55 = 125
The distance between point <span>(-6, -1) and point (4, 3) is 10.77.</span>
Answer:
Here we will use the relationships:



And a number:

is between 0 and 1 if a is positive and larger than 1, and n is negative.
if a is positive and 0 < a < 1, then we need to have n positive such that:
0 < a^n < 1
A) 
This is between zero and 1,
B) 
This is greater than 1, because the exponent is positive.
C) 
Because a is smaller than 1, and the exponent is positive, then the expression is between 0 and 1.
D) 
The exponent is negative (and pair) then the expression is between 0 and 1.
Remember that when the exponent is pair, we always have that:
(-N)^m = (N)^m
So (-7)^-2 = 7^-2
Answer:
x < 3.5
Step-by-step explanation:
34 + 12x < 76
12x < 76 - 34
12x < 42
x < 42 ÷ 12
x < 3.5