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Answer:
x° = 29°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relevant trig relationships. Here, you have the hypotenuse and the side opposite the unknown angle. So, the appropriate relation is ...
Sin = Opposite/Hypotenuse
sin(x°) = 12/25
x° = arcsin(12/25) ≈ 28.69°
The value of x is about 29.
To find the vertex of the parabola, we need to write it in a vertex form.
y=x² - 8x +12
1) complete the square
y=
x² - 8x +12
y =
x² -2*4x + 4² - 4² +12
y=
(x-4)² -16 +12
2) calculate and write a vertex
y=
(x-4)² -16 +12
y=
(x-4)² - 4
(x-4) ----- x- coordinate of the vertex x=4
y=(x-4)²
- 4 -------y- coordinate of the vertex y = - 4 Vertex is (4, -4).
Answer is (4, -4). No correct answer is given in choices.
Area Of Triangle:
4/2 = 2
2x6 = 12
12x2 = 24ft^2
Remaining area:
150 - 24 = 126ft^2
Maximum length:
126/6 = 21
x = 21ft
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
As we move from the x-intercept (-2, 0) to the y-intercept (0, 4), x increases by 2 (this is the run) and y by 4 (this is the rise). Thus, the slope of this line is
m = rise/run = 4/2 = 2.
Given the y-intercept (0, 4) and the slope (2), the slope-intercept form of the equation of this line is y = 2x + 4.
From this we get the point-slope form:
y = 2x + 4 becomes y - 4 = 2(x - 0), or just y - 4 = 2x.