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3 years ago

What is another way to write the absolute value inequality |p| less than or equal to 12

Mathematics

2 answers:

s344n2d4d5 [400]3 years ago

6 0

Answer:

A. -12 < or = p < or = 12

Step-by-step explanation:

on E2020

const2013 [10]3 years ago

4 0

Since it is written like this: |p| ≤ 12, you can subtract 12 from both sides using the subtraction property of equality to obtain your answer:

|p|-12≤0

Hope this helps!

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On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

3 years ago

Read 2 more answers

Paper plates cost $8 per package and plastic utensils cost $5 per package. Your supplier delivers 15 packages for a total cost o

Fittoniya [83]

To find the total of what you sold for each package, you'll need to write two equations. Know that x = paper plate packages and y = utensil packages.
First, x + y = 15 shows that there has to be fifteen packages, and 8x + 5y = 90 shows the $ made from selling a certain number of packages.
Next, you can solve by substitution, so change x + y = 15 to y = 15 - x.

To find our x, substitute the y in 8x + 5y = 90 to get
8x + 5(15 - x) = 90
Distribute: 8x + 75 - 5x = 90
Combine the X's and subtract the 75: 3x = 15
Divide the 3: x = 5

Now with our x, we can put 5 into the original equation x + y = 15 to get 5 + y = 15. Subtracting the 5, we get y = 10.

So, you have delivered 5 paper plate packages and 10 utensil packages.

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3 years ago

Mr. Charles cut fresh roses from his garden and gave 10 roses to his neighborhood. then gave half of what was left to his niece.

Vlad [161]

14+14=28
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3 years ago

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If three sides are given :side,side,side(S,S,andS):

Aleks04 [339]

Answer:

(sss) condition

Step-by-step explanation:

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2 years ago

Ruth knows she has a 25% chance of having a child with blue eyes and a 75% chance of having a child with brown eyes. Ruth consid

blondinia [14]

There is two event that needs to be made: 1. blue eyes, and 2. brown eyes. A spinner is made with a circle. A full circle has 360 degrees and it would be divided based on the probability of the event.
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3 years ago