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trasher [3.6K]
2 years ago
13

Find the rule of f(3)

Mathematics
2 answers:
ValentinkaMS [17]2 years ago
6 0

Answer:

-6 (6) ^3 - 6

-1302

Step-by-step explanation:

labwork [276]2 years ago
3 0

Answer:

f(3) = -1.302

Step-by-step explanation:

f(x) = -6(6)^x - 6

f(3) = -6(6)³ - 6

f(3) = -6(216) - 6

f(3) = -1.296 - 6

f(3) = -1.302

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Write the equation of the line with x-intercept -2 and y-intercept -1 in slope-intercept form
eduard

The x-intercept of -2 gives us an idea that point (-2,0) if found along the line. The y-intercept of -1, tells us that point (0,-1), this also tells us that b = -1.

Now that we have two points, we can solve for slope m

\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Given two points} \\ (-2,0)\rightarrow(x_1,y_1) \\ (0,-1)\rightarrow(x_2,y_2) \\  \\ \text{Substitute} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-0}{0-(-2)} \\ m=-\frac{1}{2} \end{gathered}

Now that we have both m and b. Substitute these values to the slope intercept form

\begin{gathered} \text{Slope intercept form is} \\ y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \\  \\ \text{Substitute the values from before and we get} \\ y=-\frac{1}{2}x-1 \end{gathered}

5 0
1 year ago
A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the grou
Dvinal [7]

Answer:

Step-by-step explanation:

A tree that is 100 feet tall casts a shadow that is 150 feet long ...

The angle at which the ray of the sun hit the ground is that which has a tangent equal to 100 / 150 or 2/3. This angle is equal to 33.69. Thus, the answer is letter B. 34°

5 0
3 years ago
Read 2 more answers
Find the perimeter use pi
balandron [24]
Since d x pi = circumference
I use 3.14 as pie

I did 9 x pi = 28.26 I DID NOT divide this by two because there are three half circles and 28.26 counts as two of them

Since there is another half circle I divide 28.26 by 2

28.26 + 14.13 = 42.39

Now plus the bottom length

42.39 + 9 = 51.39


Brainliest answer please?
8 0
3 years ago
Need help with these math questions please.
Bas_tet [7]

Answer:

8 - 2π square units.

π/16 - 1/8 square units.

6π - 9√3 square units.

Step-by-step explanation:

The area of the square = 2√2 * 2√2

= 2*2*2

= 8.

The area of the circle = πr^2

= π * [ ( 2√2)/ 2) ]^2

=  π (√2)^2

=  2π.

Second Question:

The area of the circle = π(1/2)^2 = π/4.

Finding the area of the square:

1^2 = 2x^2

x^2 = 1/2

So the area of the square = 1/2

So the area of the red part = 1/4 ( π/4 - 1/2).

= π/16 - 1/8.

Third question

Area of the circle = 6^2 * π = 36π.

Now 60 degrees is 1/6 of 360 degrees so the are of the sector is 6π.

The area of the segment = 6π -  0.5 * 6^2 sin 60

= 6π - 18√3/2

= 6π - 9√3 square units.

6 0
2 years ago
Suppose a rectangle will undergo a rotation about the origin of a coordinate plane and a translation of 6 units down. Which of t
nikdorinn [45]

Answer: The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

Step-by-step explanation: Since a dilation is not performed, the shape and size stay the same no matter how it is moved throughout the coordinate plane.

6 0
3 years ago
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