Answer:

Step-by-step explanation:
Remember that
If angle t belong to the First Quadrant
then
The value of sin(t) and cos(t) are positive values
we know that
---> by trigonometric identity
we have

substitute





Answer:
m² - 4m - 45 = 0
Step-by-step explanation:
(m + 5)(m - 9) = 0
m² + 5m - 9m - 45 = 0
m² - 4m - 45 = 0
Answer:
B
Step-by-step explanation:
Given a function of a parabola (quadratic) in the form f(x) = x^2, we have a translated function as:
g(x) = a(x-b)^2
Where
- a is the vertical compression or stretch. If a > 1, it is a vertical stretch and if 0 < a < 1, it is a vertical compression.
- b is the horizontal translation b units to the right
The function given is p(x) = 3(x-8)^2
So it means that it is a vertical stretch with a factor 3 and the graph is shifted horizontally 8 units right
the correct answer is B
Answer:
10x + 7
Step-by-step explanation:
3(2x + 5) added to 2(2x - 4) is the same as 3(2x +5) + 2(2x - 4)
Remember PEMDAS
P – Parentheses (distribution)
E – Exponents
M – Multiplication
/D – Division (whichever comes first from left to right)
A – Addition
/S – Subtraction (whichever comes first from left to right)
First, we will distribute the left side.
3(2x + 5)
3 * 2x = 6x
3 * 5 = 15
Add them together to get:
6x + 15
6x + 15 + 2(2x - 4)
We must now distribute the right side.
2 * 2x = 4x
2 * -4 = -8
Add them together to get:
4x -8
We now have:
6x + 15 + 4x - 8
<u>Let's combine like terms.</u>
6x and 4x are like terms.
Combine: 6x + 4x = 10x
15 and -8 are like terms.
15 - 8 = 7
Now we have 10x + 7
Since 10 and 7 don't have any GCF, we have our answer.
10x + 7
~ 
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Answer:
y=9x
Step-by-step explanation:
(0,0),(1,9)
when x=0, y=0, means b=0
m is the slope =9
y=9x