the inequality in the number-line is:
x ≤ -1.5
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</h3><h3>
Which inequality is represented?</h3>
We know that we have a closed circle at -1.5, this means that the value is a solution of the inequality.
Then we have a line that goes to the left of that circle, so the inequality will have solutions that are less than or equal to -1.5
Then the inequality is:
x ≤ -1.5
If you want to learn more about inequalities:
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1 pound = 16 ounces
So we have 85 lbs and 2 oz, that is if we convert them to ounces:
85(16) + 2 = 1362 oz
so we have 1362 oz total due to the conversion factor stated above, now we only need to divide:
1362/6 = 227
that is 227 oz
or if we want the result in pounds (lbs), we can by dividing again by 16
227/16 = 14.19 lbs
Answer:
The width of the garden is 1.16 m
Step-by-step explanation:
step 1
<em>Find the area of the garden</em>
To find out the area of the garden multiply by 1/3 the area of the building

step 2
Find the length side of the square building
The area of a square is

where
b is the length side of the square
we have

so

step 3
Find the width of the garden
Let
x ----> the width of the garden
we know that
The area of the building plus the area of the garden is equal to

solve for x

Solve the quadratic equation by graphing
using a graphing tool
The solution is x=1.16 m
see the attached figure
therefore
The width of the garden is 1.16 m
Find the exact value
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
----> exact value
Answer:
Equation of circle:
(x-10)² + (y+8)² = 36
Step-by-step explanation:
Given that,
Center of the circle is (10, -8)
and diameter = 12
We know that radius is half of the diameter.
So, radius (r) =
= 6
Now we have standard form of circle :
(x - h)² + (y - k)² = r²
Where (h,k) is the center of circle and r is the radius.
Now put the value of h, k and r in circle's equation
h =10
k = -8
r = 6
Equation of circle:
(x-10)² + (y+8)² = 36
That's the final answer.
I hope it will help you.