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3 years ago

Please help thank you. The question is in the picture.

Mathematics

1 answer:

bonufazy [111]3 years ago

4 0

C. D(1/2) (W XY Z)
the dilation factor is 1/2 because the new shape is half the size

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1.Find the slope of the line through (-6, 11) and (15, 20).

GrogVix [38]

Answer:

$\boxed {\boxed {\sf m= \frac{3}{7} }}$

Step-by-step explanation:

We are asked to find the slope of a line. The slope tells us the steepness and direction of a line. It is found by dividing the change in y by the change in x.

$m= \frac{ \Delta y }{\Delta x}$

$m= \frac{y_2-y_1}{x_2-x_1}$

In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through. We are given the points (-6, 11) and (15,20). If we match a value with its corresponding variable, we see that:

x₁ = -6
y₁ = 11
x₂ = 15
y₂ = 20

Substitute the values into the formula.

$m= \frac{20-11}{15 - -6 }$

Solve the numerator.

$m= \frac{9}{15--6}$

Solve the denominator. 2 back to back negative signs become a positive sign.

$m= \frac{9}{15+6}$

$m= \frac{9}{21}$

Simplify the fraction. 3 divides evenly into the numerator and denominator.

$m= \frac{9/3}{21/3}$

$m= \frac{3}{7}$

The slope of the line is 3/7.

6 0

3 years ago

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Find the common ratio of r 6,24,96,384

Vlad1618 [11]

Each term is 4 times the previous one.

3 0

4 years ago

The equation 8c = $40.80 represents the cost of 8 t-shirts, with c representing the cost of one t-shirt. How much do 5 t-shirts

Hunter-Best [27]

Answer:

To find the price of one t-shirt, we can do 40.80 / 8 = $5.10 per shirt. Therefore, the price of 5 shirts is 5.10 * 5 = $25.50.

4 0

3 years ago

Which point on the graph of g(x)=(1/5)^x? HELPP

Cloud [144]

Answer:

(-1,5) and $(3, \frac{1}{125})$ are points on the graph

Step-by-step explanation:

Given

$g(x) = \frac{1}{5}^x$

Required

Determine which point in on the graph

To get which of point A to D is on the graph, we have to plug in their values in the given expression using the format; (x,g(x))

A. (-1,5)

x = -1

Substitute -1 for x in $g(x) = \frac{1}{5}^x$

$g(x) = \frac{1}{5}^{-1}$

Convert to index form

$g(x) = 1/(\frac{1}{5})$

Change / to *

$g(x) = 1*(\frac{5}{1})$

$g(x) = 5$

This satisfies (-1,5)

Hence, (-1,5) is on the graph

B. (1,0)

x = 1

Substitute 1 for x

$g(x) = \frac{1}{5}^x$

$g(x) = \frac{1}{5}^1$

$g(x) = \frac{1}{5}$

(1,0) is not on the graph because g(x) is not equal to 0

C. $(3, \frac{1}{125})$

x = 3

Substitute 3 for x

$g(x) = \frac{1}{5}^x$

$g(x) = \frac{1}{5}^3$

Apply law of indices

$g(x) = \frac{1}{5} * \frac{1}{5} * \frac{1}{5}$

$g(x) = \frac{1}{125}$

This satisfies $(3, \frac{1}{125})$

Hence, $(3, \frac{1}{125})$ is on the graph

D. $(-2, \frac{1}{25})$

x = -2

Substitute -2 for x

$g(x) = \frac{1}{5}^x$

$g(x) = \frac{1}{5}^{-2}$

Convert to index form

$g(x) = 1/(\frac{1}{5}^2)$

$g(x) = 1/(\frac{1}{5}*\frac{1}{5})$

$g(x) = 1/(\frac{1}{25})$

Change / to *

$g(x) = 1*(\frac{25}{1})$

$g(x) = 25$

This does not satisfy $(-2, \frac{1}{25})$

Hence, $(-2, \frac{1}{25})$ is not on the graph

8 0

4 years ago

2,983,562 to the nearest hurdreth

Daniel [21]

2,983,600 is your answer to the nearest hundred

6 0

3 years ago

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