Only one question pls help

Mathematics

1 answer:

lina2011 [118]3 years ago

4 0

Cos x = 5 / 9 ==》 Cos x = 0.55

==》 x = 56 degrees

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A circle is centered at the origin and contains the point (-6, -8). What is the area of this circle?

gogolik [260]

Answer:

314 units²

Step-by-step explanation:

Centre of the circle = (0, 0)

Another point on the circle = (-6, -8)

$\text {Radius = }\sqrt{(0 - (-6))^2 + (0- (-8))^2}$

$\text {Radius = }\sqrt{6^2 + 8^2}$

$\text {Radius = }\sqrt{100}$

$\text {Radius = }10$

Area = π (10)² = 100π = 314 units²

6 0

3 years ago

What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$