All categories

3 years ago

Help geometry select all lines that could be the image of line m after a dilation

Mathematics

1 answer:

saul85 [17]3 years ago

3 0

Answer:

The lines that could be the image of line m after a dilation are;

C. n

E. p

Step-by-step explanation:

A dilation is the operation performed on a geometric figure, that involves the uniform enlargement or uniform shrinking of the figure from a given center of dilation, such that the shape of the figure, which can be a line segment, a polygon, or a point on the coordinate plane

From the given options, the lines l and consists of rotation of the line m and are therefore not purely dilations of the line m

You might be interested in

3x^2-x=10 Find factors Determine zeros

Sophie [7]

Factors are (3x + 5) and (x - 2). Zeros are -5/3 and 2.

Step-by-step explanation:

Step 1: Given quadratic equation 3x² - x = 10 ⇒ 3x² - x - 10 = 0

Step 2: Use factoring method (product and sum rule) to find factors and zeros. So the equation can be written as below.

⇒ 3x² - 6x + 5x - 10 = 0

⇒ 3x(x - 2) + 5(x - 2) = 0

⇒ (3x + 5)(x - 2) = 0 These are the factors of the equation.

Step 3: Find zeros by equating the factors to 0.

⇒ 3x + 5 = 0 and x - 2 = 0

⇒ x = -5/3 and 2

7 0

3 years ago

a boy circles 16 km in an hour and a girl runs 4.4 m in a second which is faster using study of rate

bogdanovich [222]

Answer:

boyyyy is always faster

6 0

3 years ago

Read 2 more answers

Assume that adults have IQ scores that are normally distributed with a mean 105 of and a standard deviation 20 . Find the probab

ArbitrLikvidat [17]

Answer:

0.6048

Step-by-step explanation:

Given the following :

Assume a normal distribution :

Mean (m) = 105

Standard deviation (sd) = 20

Find the probability that a randomly selected adult has an IQ between 88 and 122 .

Z = (x - m) / sd

For IQ score of 88:

Z = (88 - 105) / 20

Z = (-17) / 20

Z = - 0.85

For IQ score of 122:

Z = (122 - 105) / 20

Z = (17) / 20

Z = 0.85

P(-0.85<Z<0.85) = P(Z < 0.85) - P(Z < - 0.85)

P(-0.85<Z<0.85) = (0.8023 - 0.1977)

P(-0.85<Z<0.85) = 0.6048

4 0

4 years ago

531 = ( X × 6) + 21 LAST QUESTIONNNN

Monica [59]

To solve for X: First you multiply x and 6 then subtract 21 on both sides and then divide by 6

531 = ( X × 6) + 21
531 = 6X + 21
510 = 6X
85 = X

Hope this helps :)

4 0

4 years ago

Read 2 more answers

A swimming pool is being filled at the rate of 54 pt/min (pints per minute). How many quarts per hour is this?

Rainbow [258]

Answer:

Approximately $1620\; \text{quart} / \text{hour}$ .

Step-by-step explanation:

The given quantity was in the unit $\displaystyle \frac{\text{pint}}{\text{minute}}$ while the required quantity should have the unit $\displaystyle \frac{\text{quart}}{\text{hour}}$ . It would thus be necessary to use conversion factors of the following forms:

$\begin{aligned}\frac{\text{pint}}{\text{minute}} \times \underbrace{\frac{\text{minute}}{\text{hour}} \times \frac{\text{quart}}{\text{pint}}}_{\text{conversion factors}} &= \frac{\text{quart}}{\text{hour}} \end{aligned}$ .

Make use of the fact that:

$1\; \text{pint} = 0.5\; \text{quart}$ , and
$60\; \text{minute} = 1\; \text{hour}$ .

Rearrange the equation $1\; \text{pint} = 0.5\; \text{quart}$ to obtain the conversion factor:

$\begin{aligned} 1 &= \frac{0.5\; \text{quart}}{1\; \text{pint}}\end{aligned}$ .

Similarly, rearrange the equation $60\; \text{minute} = 1\; \text{hour}$ to obtain the conversion factor:

$\begin{aligned} 1 &= \frac{1\; \text{hour}}{60\; \text{minute}}\end{aligned}$ .

Combine both conversion factors and evaluate:

$\begin{aligned} & 54\; \frac{\text{pint}}{\text{minute}} \\ =\; & 54\; \frac{\text{pint}}{\text{minute}} \times \frac{0.5\; \text{quart}}{1\; \text{pint}} \times \frac{60\; \text{minute}}{1\; \text{hour}} \\ =\; & (54 \times 0.5 \times 60) \; \frac{\text{pint} \times \text{quart} \times \text{minute}}{\text{minute} \times \text{pint} \times \text{hour}} \\=\; & 1620\; \frac{\text{quart}}{\text{hour}}\end{aligned}$ .

5 0

3 years ago

Read 2 more answers