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3 years ago

Find the value of each expression. Show your work. 10c4

Mathematics

1 answer:

Gnoma [55]3 years ago

7 0

I think you forgot to add the other part of the question

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Line contains the points (0,4) and (2,0). Show that the points (-25,81) does or does not lie on line

Annette [7]

Answer:

(- 25, 81) does not lie on the line

Step-by-step explanation:

We can use the slope m to determine if (- 25, 81) lies on the line or not

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 0)

m = $\frac{0-4}{2-0}$ = $\frac{-4}{2}$ = - 2

now if (- 25, 81) lies on the line then the slope between (- 25, 81) and either of the 2 points on the line should equal - 2

(x₁, y₁ ) = (- 25, 81) and (x₂, y₂ ) = (2, 0)

m = $\frac{0-81}{2+25}$ = $\frac{-81}{27}$ = - 3

The slopes are not equal hence (-25, 81) does not lie on the line

5 0

4 years ago

Read 2 more answers

Write the decimal as a fraction or a mixed number in simplest form

natka813 [3]

-0.258 is a decimal number in which 2 is at the tenth place, 5 is at the hundredth place and 8 is at the thousandth place.

Therefore, the number in the fraction form is - $-\frac{258}{1000}$

The fraction in the simplest form is - $-\frac{129}{500}$

-0.312 is a decimal number and its fraction form is - $-\frac{312}{1000}$

The fraction in the simplest form is $-\frac{78}{250} =-\frac{39}{125}$

-2.32 is a decimal number and its fraction in the simplest form is

$-2\frac{32}{100} =-2\frac{8}{25}$

-1.64 is a decimal number and its mixed number in the simplest form is $-1\frac{64}{100} =-1\frac{16}{25}$

6.012 is a decimal number and the number in mixed number form is $6\frac{12}{1000}=6\frac{3}{250}$

-12.405 is a decimal number and the number in mixed number form is

$-12\frac{405}{1000}=-12\frac{81}{200}$

6 0

3 years ago

JEAN has $280 in her savings account. Starting next week, she will deposit $30 in her account every week. Is the amount of money

puteri [66]

<span>No, this is not proportional. After 1 week she would have $280+$30=$310. After 2 weeks she would have $310+$30=$340. The proportional time is "2 to 1", but the proportional savings is $340 to $310, which is a different proportion.</span>

4 0

3 years ago

For the data shown in the stem-and-leaf plot, what is the effect on the mean and median of adding the value 10 to the data set?

kari74 [83]

The mean is decreased by 2

8 0

3 years ago

You bought a bag of tamales and one of your friends ate 1/5 of the entire bag and another friend ate 1/3 of the whole bag. How m

Serggg [28]

Answer:

There is 7/15 left in the bag

Step-by-step explanation:

So, you need to find a common denominator between 3 and 5 which is 15

multiply the numerator and the denominator by 3 in 1/5. Then, multiply the numerator and the denominator by 5 in 1/3.

1/3*5=5/15

1/5*3=3/15

Add them together.

5/15+3/15=8/15

Lastly, subtract 15/15 by 8/15

15/15-8/15=7/15

3 0

3 years ago