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Ivenika [448]
4 years ago
10

The point 5 5/8, 2 1/4 lies on a line that represents proportional relationship. Part A Write an equation for this relationship.

What is the constant of proportionality?
Mathematics
1 answer:
andrew11 [14]4 years ago
3 0

Answer:

The we equation is

y =  \frac{2}{5}x

The constant of proportionality is

k =  \frac{2}{5}

Step-by-step explanation:

The given point is

(5 \frac{5}{8} ,2 \frac{1}{4} )

A proportional relationship has a general equation of the form:

y = kx

We substitute the point into the equation to get:

2 \frac{1}{4}  = 5 \frac{5}{8}k

Change to improper fractions to get:

\frac{9}{4}  =  \frac{45}{8}k

We multiply through by

\frac{8}{45}

This gives us:

\frac{8}{45}  \times  \frac{9}{4} = k

k =  \frac{2}{5}

The equation is

y =  \frac{2}{5}x

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Triangle ABC is the pre-image and triangle DFE is the image.
anzhelika [568]

Answer:

Scale factor = ½

Step-by-step explanation:

The original image is the preimage = ∆ACB

The new image is the image = ∆DFE

The scale of factor of dilation = image/preimage = DF/AC

DF = 6 cm (given)

AC = 12 cm (given)

Plug in the values into the equation to find the scale factor of dilation:

Scale factor = 6/12

Scale factor = ½

6 0
3 years ago
Consider the dot plot below. Of the following statements, which two characteristics of this dot plot make the median a better ch
Vilka [71]

The data are skewed and there is an outlier statement first is correct.

<h3>What is the box and whisker plot?</h3>

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have data on the box plot.

Because the dots decrease as the number line grows, the depicted dot plot is skewed right.

The graph's "tail" is pushed toward greater positive numbers. As a result, the mean is pushed towards the graph's tail and is higher than the median.

Thus, the data are skewed and there is an outlier statement first is correct.

Learn more about the box and whisker plot here:

brainly.com/question/3209282

#SPJ1

5 0
2 years ago
Can somebody help me with this pleaseee
AysviL [449]

Answer:

lesser x = -4.73205, so -4.73

greater x = -1.26795, so -1.27

7 0
3 years ago
How much is 1.4 kg minus 650 grams
faltersainse [42]
First of all you have to convert kg to grams

so there is 1 kg in 1000g
.4 kg is 400g
1000+400= 1400g

1400-650 = 750 kg

that's your final answer
8 0
4 years ago
Find the volume of the shaded figure by subtracting the smaller volume from the larger
alekssr [168]

Answer:

a. 9a^3 - 9ab^2

b. 9a(a^2 - b^2)

Step-by-step explanation:

a.

Volume = l*w*h

Volume_{smaller} = l*w*h

Where, l = 9a, w = b, h = b

Volume_{smaller} = 9a*b*b = 9ab^2

Volume_{larger} = l*w*h

Where, l = 9a, w = a, h = a

Volume_{smaller} = 9a*a*a = 9a^3

Volume of the shaded figure = 9a^3 - 9ab^2

b. 9a^3 - 9ab^2 expressed in factored form:

Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

9a^3 - 9ab^2 = 9a(a^2 - b^2)

6 0
4 years ago
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