Answer:
see explanation
Step-by-step explanation:
Given
(x - 2)² + 9 = 0 ( subtract 9 from both sides )
(x - 2)² = - 9 ( take the square root of both sides )
x - 2 = ±
yields no real solutions
There is no real number when multiplied by itself gives - 9
In fact the solutions to
are said to be imaginary, that is ± 3i
where i = 
If interested investigate further.
Answer:

Step-by-step explanation:
the quadratic function should be as follows:

Now let's confirm that the zeros of the function are 0 and 8

Therefore we can see that if x = 0

the equation is fulfilled
And we also have 
for this expresion to be equal to zero:

thus, if x = 8

the equation is also fulfilled
The zeros of the quadratic function
are 0 and 8.
Answer:
56°
Step-by-step explanation:
2x+3x+5=90
5x=90-5
5x=85
x=85÷5
x=17
m<2=3x+5=3(17)+5=51+5=56
Answer: y = 2x+22
========================================================
Explanation:
The equation y = 2x+5 is in the form y = mx+b
m = 2 = slope
b = 5 = y intercept
Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.
Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c
y = mx+c
12 = 2(-5)+c
12 = -10+c
12+10 = c
22 = c
c = 22
Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22
The equation of the parallel line is y = 2x+22
The graph is below.
Answer:
Deductive reasoning
Step-by-step explanation:
Here, we want to know the kind of reasoning the statement is.
In this question, the kind of reasoning is deductive
In the deductive reasoning type, we go from general cases to specific cases
It is just like saying the reason why there will be hurricanes in the tropics this fall is because there is an hurricane every fall
So we have gone from a general case to give a specific case