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3 years ago

How do i use distributive property to express16 48?

Mathematics

2 answers:

Andrews [41]3 years ago

6 0

8(2+6) = 16 + 48

or

16(1+3) = 16 + 48

or

4(4+12) = 16 + 48

Anton [14]3 years ago

4 0

Ab+ac=a(b+c)
a is a common factor

so find common factor
factor
16=2*2*2*2
48=2*2*2*2*3
common factor is 2*2*2*2 or 16
so

16+48=
16(1)+16(3)=16(1+3)=16(4)=64

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Write an equation of the line that passes through 7,10 and is perpendicular to the line y=1/2-9

kow [346]

An equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9 is $y=-2x+24$

Step-by-step explanation:

We need to write an equation of the line that passes through 7,10 and is perpendicular to the line y=1/2x-9

Note: Considering the line y=1/2x-9

For finding an equation of line we need

Slope (m)
y-intercept (b)

The general equation of slope intercept form used is:

$y=mx+b$

The equation of line given is: y=1/2x-9

The new line is perpendicular to the given line So, the slope of new line would be m = -1/m

So, Slope of given line m = 1/2

Slope of required line = -1/m = -2

So, m= -2

Now, for finding y-intercept (b) we need slope m = -2 and the point given (7,10)

Putting values of m, x=7 and y = 10 in the equation of slope intercept form

$y=mx+b\\10=-2(7)+b\\10=-14+b\\b=10+14\\b=24$

So, Equation of required line having slope m = -2 and y-intercept b = 24

$y=mx+b\\y=-2x+24$

An equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x-9 is $y=-2x+24$

Keywords: Equation of line using Slope

Learn more about Equation of line using Slope at:

#learnwithBrainly

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nexus9112 [7]

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Answer:

Step-by-step explanation:

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2 years ago

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sleet_krkn [62]

We can use fraction to solve this problem. Since Jean can fill the pool in 8 hours and Mark in 12 hours, we can use the formula X/8 + X/12 = 1 where X/8 stands for Jean's job and X/12 for Mark's.

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The equation will be (3X + 2x) / 24 = 1, which will give us a simplified formula of 5X / 24 = 1.

To get X, we need to multiply 24 to both sides (5X/24 and 1) so that the equation will be 5X = 24. We only need to solve for X, so we will remove 5 from X by dividing it to 24, giving us the equation 5X/5 = 24/5.

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