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rjkz [21]
3 years ago
9

Analyze the linear inequalities and determine if the solution set is the shaded region above or below the boundary line.

Mathematics
1 answer:
KengaRu [80]3 years ago
7 0
Hello!

If the y side is greater than the x side then it is shaded above

If the x side is greater than the y side then it is shaded below

So the answers are

above, above, below, above, below, below

Hope this helps!
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Jose bought 1.5 pounds of apples for $3.60. How much would 3/4 of a pound of apples cost?
denpristay [2]
$1.80, because 3/4 is half of 1.5, and $1.80 is one half of $3.60.
8 0
3 years ago
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20. Factor the expression. ^2 + 7 + 12
neonofarm [45]

Answer: x^2 + 19

Step-by-step explanation: Cancel out x^2 and add 7 and 12 together. 7 + 12 = 19. Next plug in x^2. So, its now x^2 + 19.

Hope this help!

7 0
3 years ago
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A line is perpendicular to x + 3y - 4 = 0 and has the same y-intercept as 2x + 5y - 20 = 0. Find the equation for the line.​
yawa3891 [41]
<h3>Answer:  -3x+y-4 = 0   (standard form)</h3>

This is equivalent to y = 3x+4 (slope intercept form)

By "standard form", I mean the form Ax+By+C = 0.

====================================================

Explanation:

Let's solve the first equation for y

x+3y-4 = 0

x+3y = 4

3y = 4-x

3y = -x+4

y = (-x+4)/3

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

y = (-1/3)x + (4/3)

The equation is now in y = mx+b form, aka slope intercept form, with m = -1/3 as the slope and b = 4/3 as the y intercept. We'll focus on the slope.

Apply the negative reciprocal to this so that we go from -1/3 to +3/1 or simply 3. Flip the fraction and the sign. Note how -1/3 and 3 multiply to -1. Perpendicular slopes always multiply to -1, assuming neither line is vertical.

So this mystery perpendicular line we're after has a slope of 3.

It has the same y intercept as 2x+5y-20 = 0. Plug in x = 0 and solve for to determine the y intercept.

2x+5y-20 = 0

2(0)+5y-20 = 0

5y-20 = 0

5y = 20

y = 50/5

y = 4

The y intercept of 2x+5y-20 = 0 is y = 4, so it's also the y intercept of our final answer. Let b = 4.

-------------------------------------

We found that:

  • m = 3 is the slope of the perpendicular line
  • b = 4 is the y intercept of the perpendicular line

So we know that,

y = mx+b

y = 3x+4

is the slope intercept form of the answer. Since your teacher gave you the equations in standard form (one version of it anyway), let's convert y = 3x+4 to that form as well

y = 3x+4

y-3x = 4

-3x+y = 4 .... one way to express standard form

-3x+y-4 = 0 .... another standard form

Some math textbooks use Ax+By = C as standard form, while others use Ax+By+C = 0. Unfortunately, it's a bit confusing because the same phrasing is used.

7 0
2 years ago
Can someone help me please .
Ymorist [56]

Answer:

D

Step-by-step explanation:

The angle CDG equals 90 degrees and the angle GDE also equals 90 degrees. Supplementary angles are angles that add up to be 180 degrees.

CDG + GDE = 180 degrees

6 0
3 years ago
Choose the property of addition. ( 5 + 3 ) + 8 = 5 + ( 3 + ? )
Artist 52 [7]

Answer:

A. associative property of addition

Step-by-step explanation:

Associative because you can add or multiply those regardless of how the numbers are grouped.

I hope this helped and have a good rest of your day!

5 0
3 years ago
Read 2 more answers
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