Answer: They charge the same amount.
Step-by-step explanation:
Answer:
4.875?
convert it into an improper fraction
Elaborate what do the symbols stand for pmme if you need more help.
Answer:
f(x) = 3(x - 2)² + 4
OR
f(x) = 3x² - 12x + 16
Step-by-step explanation:
Vertex form of a parabola:
Standard form of a parabola:
Let's find the vertex of this parabola.
In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.
Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.
Simplify using PEMDAS.
Subtract 4 from both sides.
Now we have (h, k) and a of the vertex form.
- y = a(x - h)² + k → y = 3(x - 2)² + 4
In order to convert from vertex to standard form, simplify the equation by FOILing.
Distribute 3 inside the parentheses.
Combine like terms.
Therefore, we have the answer:
<u>Vertex form:</u>
<u>Standard form:</u>
The trigonometric ratios have been determined and the angles T and U are complementary.
<h3>What are Trigonometric Ratios?</h3>
Trigonometric Ratios are ratios of the side of a right-angled triangle. These are used to find the missing sides and angles of a right-angled triangle.
A right-angled triangle is a triangle with a measure of one of the angles as 90 degrees.
The triangle TUV is a right-angled triangle, the sides of the triangle are t, u, and v.
Part 1:
The angle T is not equal to angle U.
But by the angle sum property,
T + U + V = 180
T + U = 90
Both the angles are complementary.
Part 2:
The trigonometric ratios are as follows:
sin T = t/v
cos T = u/v
sin U = u/v
cos U = t/v
Part 3:
From the data in part 2,
Options C and D are the correct statements.
sin T = cos U
cos T = sin U
Part 4:
sin 37 = cos ( 90-37)
sin 37 = cos 53
To know more about Trigonometric Ratios
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