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2 years ago

Write an equation in slope-intercept form of the line shown.

Mathematics

1 answer:

MatroZZZ [7]2 years ago

3 0

Answer:

y = 5/3x + 20/3

Step-by-step explanation:

Points on the graph: ( -4, 0) and (1, -5)

Slope:

m=(y2-y1)/(x2-x1)

m=(-5-0)/(1-4)

m=(-5)/(-3)

m=5/3

Slope-intercept:

y - y1 = m(x - x1)

y - 0 = 5/3(x + 4)

y = 5/3x + 20/3

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Simplify the expression 3x•(7•x) explain

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Steps to solve:

3x * (7 * x)

~Simplify

3x * 7x

~Combine like terms

21x

Best of Luck!

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2 years ago

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Bert has already read 5 pages, and he knows he can read 11 more pages during every additional hour he spends reading. In all, ho

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Answer:

4 hours

Step-by-step explanation:

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3 years ago

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Help me please solve the circled question show your work

Rasek [7]

Part 1) Use the fact that there are 12 inches in a foot

a) How many inches tall is a 7 foot basketball player?

we know that

1 foot=12 inches

so by proportion

$\frac{12}{1} \frac{inches}{foot} =\frac{x}{7} \frac{inches}{feet} \\ \\x=12*7\\ \\x=84\ inches$

therefore

the answer Part 1a) is

$84\ inches$

Part b) If a yard is a 3 feet long, how many inches are in a yard?

we know that

1 yard=3 feet

1 foot=12 inches

Convert 3 feet to inches

by proportion

$\frac{12}{1} \frac{inches}{foot} =\frac{x}{3} \frac{inches}{feet} \\ \\x=12*3\\ \\x=36\ inches$

therefore

the answer Part 1b) is

$36\ inches$

Part 2) At the farmer's market two pounds of peaches cost $4.20 How much will five pounds cost?

by proportion

$\frac{4.20}{2} \frac{\$}{pounds} =\frac{x}{5} \frac{\$}{pounds} \\ \\2*x=4.2*5\\ \\x=4.2*5/2=\$10.5$

therefore

the answer Part 2) is

$\$10.5$

Part 3) Janice mother gave her a ten dollars bill to buy five pounds each of bananas and apples at the grocery store. When she got there she found that bananas were 80 c per pound and apples were $1.40 per pound.

Did Janice's mother give her enough money? If so, should she receive any change? If not, how much more money does she need?

we know that

Find the cost of the bananas

$5\ pounds*0.80\frac{\$}{pounds}=\$4$

Find the cost of the apples

$5\ pounds*1.40\frac{\$}{pounds}=\$7$

Sum the cost of the bananas and the cost of the apples

$\$4+\$7=\$11$

$\$11 > \$10$ ------> Janice's mother didn't give her enough money

She needs more money

She needs-------> $\$11-\$10=\$1$

therefore

the answer part 3) is

She needs $\$1$ more

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3 years ago

Find the value of x 3(x-4)

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3x-12 is simplified from parenthesis

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3 years ago

Suppose you have a right triangle with congruent legs and a hypotenuse that measure (12sqrt(5))/5 What is the length of the smal

anastassius [24]

The length of the smaller leg is 3.79

<h3>How to determine the length of the smaller leg?</h3>

Represent the smaller leg with x.

So, we have:

$x^2 + x^2 = ((12\sqrt5)/5)^2$ -- Pythagoras theorem

This gives

2x^2 = 144/5

Divide by 2

x^2 = 72/5

This gives

x^2 = 14.4

Take the square root

x = 3.79

Hence, the length of the smaller leg is 3.79