Will mark the brainliest

The purple shape is a dilation of the black shape. Is it an enlargement or reduction?

Zarrin [17]

The answer is a enlargement

6 0

3 years ago

The cost of a floral bouquet after a discount is applied is represented by the function below, where x represents the number of

galina1969 [7]

The average rate of change over the interval $(12,24)$ is 2.17

Explanation:

Given that the cost of a floral bouquet after a discount is given by the function $f(x)=2.17x-10.00$

We need to determine the average rate of change over the interval $(12,24)$

The average rate of change can be determined using the formula,

$\frac{f(b)-f(a)}{b-a}$

where $a=12$ and $b=24$

Substituting the value of a and b in the function, we get,

$f(12)=2.17(12)-10.00$

$=26.04-10.00$

$=16.04$

$f(24)=2.17(24)-10.00$

$=52.08-10.00$

$=42.08$

Hence, substituting these values in the formula, we get,

$\frac{f(b)-f(a)}{b-a}=\frac{42.08-16.04}{24-12}$

Simplifying, we get,

$\frac{f(b)-f(a)}{b-a}=\frac{26.04}{12}$

Dividing, we have,

$\frac{f(b)-f(a)}{b-a}=2.17$

Thus, the average rate of change over the interval $(12,24)$ is 2.17

7 0

4 years ago

As Venus revolves around the sun, it travels at a speed of approximately 22 miles per second. Convert this speed to kilometers p

Tema [17]

Using a mile to km converter - 22 mi = 35.4056 km/sec
Multiply 35.4056 and 10
That equals 354.056 km.

Thank you!

5 0

3 years ago

Octagon ABCDEFGH and its dilation, octagon A'B'C'D'E'F'G'H', are shown on the coordinate plane below:

Vaselesa [24]

Answer:

2) 2

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Dilation is the enlargement or reduction of the size of an object. If a figure with point A(x, y) is dilated by a scale factor of k about the center of the origin, the new point would be at (kx, ky). If k < 1 it is a reduction and if k > 1 it is an enlargement.

The octagon ABCDEFGH has vertices at A(3, 1), B(3, -1), C(1, -3), D(1, -3), E(-3, -1), F(-3, 1), G(-1,3) and H(1, 3)

Octagon ABCDEFGH is then dilated about the origin to form octagon A'B'C'D'E'F'G'H' with vertices at A'(6, 2), B'(6, -2), C'(2, -6), D'(2, -6), E'(-6, -2), F'(-6, 2), G'(-2,6) and H'(2, 6)

A = (3, 1) and A' = (6, 2) = [2(3), 2(1)]

Therefore octagon ABCDEFGH was dilated by a scale factor of 2 to form octagon A'B'C'D'E'F'G'H'

6 0

3 years ago

A kite is flying at a height of 60m above the ground. the string attached to the kite is temporally tied to a point on the groun

Leokris [45]

Answer:

<ABC = 90 DEGREE

Step-by-step explanation:

Given that ,

Height at which kite is flying = 60 m

Let's make AB = 60 m

Also , inclination of the string with the ground = 60 degree

Hence , <ACB = 60 degree

We have to find length of sting , i.e., AC

Here , AB is perpendicular to the ground

So , <ABC = 90 degree

HOPE THIS HELPS AND PLS MARK AS BRAINLIEST AND THNXX :)

7 0

4 years ago