Answer:
Step-by-step explanation:
x^2 + 12x + 36=0
(x+6) (x+6)=0
x≠-6
range should be all real numbers and domain (-∞, -6) (-6, ∞)
THE SOLUTIONS OF A SYSTEM OF EQUATIONS
A system of equations refers to a number of equations with an equal number of variables. We will only look at the case of two linear equations in two unknowns. The situation gets much more complex as the number of unknowns increases, and larger systems are commonly attacked with the aid of a computer.
A system of two linear equations in two unknowns might look like
This is the standard form for writing equations when they are part of a system of equations: the variables go in order on the left side and the constant term is on the right. The bracket on the left indicates that the two equations are intended to be solved simultaneously, but it is not always used.
Answer:
Step-by-step explanation:
Part (A).
Angles ABC and CBD are the supplementary angles.
Therefore, m(∠ABC) + m(∠CBD) = 180°
Now substitute the measure of each angle in the equation,
(5x + 12)° + (13x + 24)° = 180°
18x + 36 = 180
18x = 180 - 36
18x = 144
x = 8
Part (B).
m∠ABC = (5x + 12)
= 5(8) + 12
= 52°
m∠CBD = (13x + 24)
= 13(8) + 24
= 104 + 24
= 128°
Part (C).
We can check the results by adding measures of these angles.
m∠ABC + m∠CBD = 52 + 128
= 180°
Therefore, both the angles are supplementary angles which is already given.
The first answer is C.
The second answer is A.
Answer:
1. congreunt; reflection
2. not congruent
3. congruent; rotation & translation
4. 64 cm
5. 62 degrees
Step-by-step explanation:
