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3 years ago

Given that (-1,-1) is on the graph of f(x), find

Mathematics

1 answer:

nalin [4]3 years ago

8 0

Answer:

(-1, -6)

Step-by-step explanation:

f(x -5) is another way to say f(x) - 5

And f(x) - 5 is going down the y axis 5 points, so you end at (-1, -6)

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HELP PLEASEEE

djyliett [7]

Answer:

Exact circumference is $7\frac{49}{150}km$

Approximate circumference is $7.33 km$

Step-by-step explanation:

We are given;

The diameter of a circle as $2\frac{1}{3} km$

We are required to determine the exact and approximate circumference of the circle.

We know that the circumference of the circle is given by;
Circumference = πD, where D is the diameter

Taking π as 3.14

$Circumference=3.14 (2\frac{1}{3}km)$

$=7\frac{49}{150}km$

The exact circumference of the circle is $7\frac{49}{150}km$

$7\frac{49}{150}km=7.327 km\\ = 7.33 km (nearest hundredth)$

Thus, the approximate circumference of the circle is $7.33 km$

6 0

3 years ago

What quotient is equal to 3 3/4

otez555 [7]

Hello.

C would be your answer.

Hope it helps :)

8 0

3 years ago

Read 2 more answers

The rectangle shown has a perimeter of 54 cm and the given area. Its length is 3 more than 3 times its width. Write and solve a

algol13

Answer:

Step-by-step explanation:

the perimeter P=2(L+W)=54

P=2L+2W=54 OR L+W=27

we know that L=3W+3

P=3W+W=27-3

4W=24

W=6 CM

L=21CM

5 0

3 years ago

Find the standard form of the equation of the ellipse with the given characteristics. Vertices: (4, 0), (4, 14); endpoints of th

saul85 [17]

Answer:

The standard form of the ellipse is $\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1$ .

Step-by-step explanation:

The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:

$(h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)$ (1)

If we know that $V_{1} (x,y) = (4,0)$ and $V_{2}(x,y) = (4, 14)$ , then the coordinates of the center are, respectively:

$(h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)$

$(h,k) = (2,0) + (2, 7)$

$(h, k) = (4, 7)$

The length of each semiaxis is, respectively:

$a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}$

$a = 3$

$b = \sqrt{(4-4)^{2}+(0-7)^{2}}$

$b = 7$

The standard equation of the ellipse is described by the following formula:

$\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1$

Where:

$h$ , $k$ - Coordinates of the center of the ellipse.

$a$ , $b$ - Length of the orthogonal semiaxes.

If we know that $h = 4$ , $k = 7$ , $a = 3$ and $b = 7$ , then the standard form of the ellipse is:

$\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1$

4 0

3 years ago

an object of mass 300kg is observed to accelerate at the rate of 4 m/s^2. Caculate the force required to produce this accelerati

icang [17]

Answer:

1200 N

Step-by-step explanation:

Newton's second law:

F = ma

F = (300 kg) (4 m/s²)

F = 1200 N

4 0

3 years ago