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2 years ago

Write the equation of a line that is parallel to y = 1/2x - 4 and that passes through the point (9, -6)

Mathematics

1 answer:

timofeeve [1]2 years ago

7 0

//To have the lines parallel, the gradients must be the same.

y -- 6 = 1/2 (x - 9)
y + 6 = 1/2 x -9/2
y = 1/2 x - 10.5

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If a = 0.6 repeating and b = 0.75, then a x b = blank and a/b = blank

atroni [7]

Answer:

a*b = 1/2

a/ b = 8/9

Step-by-step explanation:

a = 0.66666 and b = 0.75

To multiply it we write the decimal numbers in fraction form

a= 0.666666...

Multiply by 10 on both sides

10 a = 6.66666...

a = 0.66666...

Subtract the second equation

9a = 6

divide by 9 on both sides

$a=\frac{6}{9}=\frac{2}{3}$

so 0.6666 = 2/3

Now we convert 0.75 into fraction form

$0.75=\frac{0.75}{1}$

Multiply top and bottom by 100 to remove decimal

$\frac{75}{100} = \frac{3}{4}$

so 0.75 is 3/4

a= 2/3 and b = 3/4

$a*b = \frac{2}{3} * \frac{3}{4} = \frac{6}{12} = \frac{1}{2}$

$\frac{a}{b} = \frac{\frac{2}{3}}{\frac{3}{4}} = \frac{2}{3} * \frac{4}{3} =\frac{8}{9}$

8 0

2 years ago

How do I solve this? can someone please help? thank you! y=3x+4 y=x-2

Alecsey [184]

Answer:

Step-by-step explanation:

y = 3x+4 and y = x-2

3x+4 = x-2

2x+4 = -2

2x = -6

x = -3

y = -3 -2 = -5

8 0

2 years ago

5/9 divided 15 in simplest form

mihalych1998 [28]

$\bf \cfrac{5}{9}\div 15\implies \cfrac{5}{9}\div \cfrac{15}{1}\implies \cfrac{5}{9}\cdot \cfrac{1}{15}\implies \cfrac{1}{9}\cdot \cfrac{5}{15}\implies \cfrac{1}{9}\cdot \cfrac{1}{3}\implies \cfrac{1}{27}$

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2 years ago

What is 3/4 + 5/12? I need help.

Reika [66]

Answer:

the answer should be 7/6

5 0

2 years ago

Movie A took in $142.44 million on it’s first weekend. This topped the previous opening weekend revenue set by movie B by $4.14

stepladder [879]

Revenue of Movie A on first weekend = $ 142.44 million

According to the given statement, revenue of movie A was $4.14 million more than the revenue of movie B in their first weekends.

So, we can write:

Revenue of movie A = Revenue of movie B + $4.14 million

Revenue of movie B = 142.44 million - 4.14 million = $ 138.30 million.

Thus movie B take in $138.30 million on its opening weekend.

6 0

3 years ago