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2 years ago

The lines below are parallel if the slope of the green line is -2 what is the slope of the red line

Mathematics

1 answer:

kati45 [8]2 years ago

8 0

Answer:

-2

Step-by-step explanation:

Since they are parallel, they have the same slope. This will be true for any set of lines.

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78+24-11+56+23-117+1

kakasveta [241]

78+24+11+56+23+117+1 =310

4 0

2 years ago

What is the cube root of -729a9b6

Harman [31]

<u>ANSWER</u>

$\sqrt[3]{- 729{a}^{9} {b}^{6} } = - 9 {a}^{3} {b}^{2}$

<u>EXPLANATION</u>

We want to find the cube root of

$- 729 {a}^{9} {b}^{6}$

We express this symbolically as:

$\sqrt[3]{- 729 {a}^{9} {b}^{6} }$

The expression under the radical called the radicand.

We need to express this radical in exponential form using the property,

${x}^{ \frac{m}{n} } = \sqrt[n]{ {x}^{m} }$

Applying this rule gives us:

$\sqrt[3]{- 729 {a}^{9} {b}^{6} } = ({- 729 {a}^{9} {b}^{6}})^{ \frac{1}{3} }$

$\sqrt[3]{- 729{a}^{9} {b}^{6} } = ({- {9}^{3} {a}^{9} {b}^{6}})^{ \frac{1}{3} }$

Recall that

$({a}^{m} )^{n} = {a}^{mn}$

We apply this rule on the RHS to get,

$\sqrt[3]{- 729{a}^{9} {b}^{6} } = ({- {9}^{3 \times { \frac{1}{3} } } {a}^{9 \times { \frac{1}{3} } } {b}^{6 \times { \frac{1}{3} } }})$

This simplifies to

$\sqrt[3]{- 729{a}^{9} {b}^{6} } = - 9 {a}^{3} {b}^{2}$

3 0

2 years ago

Read 2 more answers

Roberto listed his assets and liabilities on a personal balance sheet.

mixer [17]

To see the effect on Robertos balance sheet, we will first have to get the total assets and liabilities
Total assets = cash+ investment+ house + car
Total liabilities= credit card + personal loan + mortgage + car loan
Substituting the values, we will get
Total asset =$166000
Total liabilities =$1010000
Difference= $844000
To pay off car loan, he uses his investment
Total asset = $166000-5000
=$161000
Total liabilities= $1010000-5000
=$1005000
Difference=$844000
Therefore the answer is letter C, the difference between asset and liability will remain the same.

7 0

2 years ago

Read 2 more answers

1. If what you gain daily continues in this manner, how much gain can you expect at the end of the week?

mamaluj [8]

1 is the answer I think

3 0

2 years ago

The Venn diagram shows the results of two events resulting from rolling a number cube.

tankabanditka [31]

Answer:

$P(A|B)=\frac{2}{3}$