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3 years ago

20. Use the Distributive Property to find another expression for 3(2x + 7)

Mathematics

1 answer:

ASHA 777 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

3×2x=6x

3×7=21

So your answer is D

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Z² + 2z+1-w²<br><br> Please factor.

Rus_ich [418]

Your answer is (z+1+w) (z+1-w)

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3 years ago

Gina wrote the number 43,628. Then she used the same digits to write a new number. In the new number, she moved the digit 6 one

vivado [14]

The 1,000s place because she was in the 100s and you moved 6 to the left which makes the number higher.

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3 years ago

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Find the equation of the line that contains the given point and the given slope. Write the equation in slope-intercept form.

stealth61 [152]

The slope-point form of a line:

$y-y_0=m(x-x_0)$

The slope-intercept form of a line:

$y=mx+b$

$m=6,\ (4,\ 1)\to x_0=4,\ y_0=1$

Substitute

$y-1=6(x-4)\qquad|\text{use distributive property}\\\\y-1=6x-24\qquad|\text{add 1 to both sides}\\\\\boxed{y=6x-23}$

$m=-5,\ (6,\ -3)$

Substitute

$y-(-3)=-5(x-6)\qquad|\text{use distributive property}\\\\y+3=-5x+30\qquad|\text{subtract 5 from both sides}\\\\\boxed{y=-5x+24}$

$m=-\dfrac{1}{2},\ (-8,\ 2)\\\\y-2=-\dfrac{1}{2}(x-(-8))\\\\y-2=-\dfrac{1}{2}(x+8)\\\\y-2=-\dfrac{1}{2}x-4\qquad|\text{add 2 to both sides}\\\\\boxed{y=-\dfrac{1}{2}x-2}$

$m=0,\ (-7,\ -1)\\\\y-(-1)=0(x-(-7))\\\\y+1=0\qquad|\text{subtract 1 from both sides}\\\\\boxed{y=-1}$

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3 years ago

For the month of November in a certain city, 88% of the days are cloudy. Also in the month of November in the same city, 54%

Gnoma [55]

Answer:

There is a 61.36% probability that a randomly selected day in November will be foggy if it is cloudy.

Step-by-step explanation:

We have these following probabilities:

An 88% probability that the day is cloudy.

An 54% probability that the day is both foggy and cloudy.

What is the probability that a randomly selected day in November will be foggy if it is cloudy?

This is the percentage of days that are cloudy and foggy divided by those that are cloudy. So:

$P = \frac{0.54}{0.88} = 0.6136$

There is a 61.36% probability that a randomly selected day in November will be foggy if it is cloudy.

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3 years ago

A pair of equations is shown below:

Archy [21]

Slope Intercept Form - y = mx + b

First you need the slope or m which in the first equation is 6 and in the second is 5

Next the y-intercept or b which in the first equation is -4 and in the second is -3

Here is an image of both equation plotted on a graph where the first equation is purple and the second is green

Hope this helps, if you need anything else i will edit it in :)

edit: The to lines intercept at the point (1,2)

Sorry, i wasn't completely sure what you needed i haven't done this in a while. If you still need more, I'll try to help.

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3 years ago

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