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yaroslaw [1]
3 years ago
7

What is this?

+ 4x - 12" alt=" {x}^{2} + 4x - 12" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
kirill115 [55]3 years ago
7 0

Answer:

x^2 + 4·x - 12 = (x - 2)·(x + 6)

x^2 + 4·x - 12 = (x + 2)^2 + 8

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Help please!posted picture of question
Evgen [1.6K]
The region is in the first quadrant, and the axis are continuous lines, then x>=0 and y>=0
The region from x=0 to x=1 is below a dashed line that goes through the points:
P1=(0,2)=(x1,y1)→x1=0, y1=2
P2=(1,3)=(x2,y2)→x2=1, y2=3
We can find the equation of this line using the point-slope equation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(3-2)/(1-0)
m=1/1
m=1
y-2=1(x-0)
y-2=1(x)
y-2=x
y-2+2=x+2
y=x+2
The region is below this line, and the line is dashed, then the region from x=0 to x=1 is:
y<x+2 (Options A or B)

The region from x=2 to x=4 is below the line that goes through the points:
P2=(1,3)=(x2,y2)→x2=1, y2=3
P3=(4,0)=(x3,y3)→x3=4, y3=0
We can find the equation of this line using the point-slope equation:
y-y3=m(x-x3)
m=(y3-y2)/(x3-x2)
m=(0-3)/(4-1)
m=(-3)/3
m=-1
y-0=-1(x-4)
y=-x+4
The region is below this line, and the line is continuos, then the region from x=1 to x=4 is:
y<=-x+2 (Option B)

Answer: The system of inequalities would produce the region indicated on the graph is Option B

8 0
3 years ago
Using the measurements of the shapes.. determine the area and perimeter of the irregular polygon.
Phoenix [80]

Answer:

43.8 is the Area but i don't know about the perimeter

Step-by-step explanation:

4 0
3 years ago
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6 poodles to 18 beagles ratio​
amid [387]

Answer: 1:3

Step-by-step explanation: You would divide both sides by 6 and get 1:3 poodles to beagles

4 0
3 years ago
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Find the midpoint of the segment with the given endpoints. <br> ​4 and 11<br> ​
brilliants [131]

Hey there!!

How do we find the midpoint?

We take the average , the average is =

Sum of the observations / total number of observations

The end points are given as 4 and 11

Sum = 11 + 4

Number of observations = 2

= 15 / 2

= 7.5 is the midpoint

4 0
3 years ago
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Write the number in witch the digit 2 is one tenth the value of the digit 2 in 8.524.
spin [16.1K]
Well the 2 in 8.524 would be 0.02 or 2 hundredths. Here's my explanation, the 8 is the whole number because it's before the decimal point, the 5 is the tenth or 0.5 and as you go further the number gets smaller so after the 5 is the 2 and that would be 2 hundredths or 0.02. So basically it's like going from tens, to hundreds, to thousands but only going in reverse order.
4 0
3 years ago
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