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faltersainse [42]
3 years ago
13

The sum of three consecutive numbers is one hundred thirty five . What is the smallest of the three numbers ?

Mathematics
2 answers:
Trava [24]3 years ago
7 0
It would be 44 + 45 + 46
The smallest number would be 44
asambeis [7]3 years ago
7 0
X+ (x+1) + (x+2) =135 is the way you would write the expression, x being the smallest number. Simplify the side of the equation with the variables so that its 3x + 3=135. Next, subtract 3 on both sides so that 3x=132. Next, isolate x by dividing both sides by 3 so that x=44. Check your work by substituting 44 in for x so that 44+45+46=135.
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abruzzese [7]
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3 0
3 years ago
Show that the equation represents a circle and find its center and radius.<br> x2 + y2 +6y + 2 = 0
Dafna11 [192]

Answer:

Step-by-step explanation:

The general equation of a circle can be expressed as (x-a)²+(y-b)² = r² where (a,b) is the centre of the circle and r is the radius.

To show that the equation x² + y² +6y + 2 = 0 represents a circle, we need to write it in the format above using the completing the square method.

Given x² + (y² +6y) + 2 = 0

First we need to complete the square of the square in parenthesis by adding the square of half of the coefficient of y i.e (\frac{1}{2}*6) ^2 to the equation and adding the constant to the other side of the equation as well.

x² + (y² +6y) + 2 = 0

x^2+(y^2+6y+(\frac{1}{2}*6) ^2)+2 = 0+(\frac{1}{2}*6) ^2\\x^2+(y^2+6y+(3) ^2)+2 = 0+3 ^2\\x^2+(y^2+6y+9)+2 = 0+9\\x^2+(y+3)^2+2 = 9\\x^2+(y+3)^2+2-2 = 9-2\\x^2+(y+3)^2 = 7\\(x-0)^2+(y+3)^2 = 7\\

<em>Hence the equation represents a circle with centre C at (0, -3) and radius of √7</em>

7 0
3 years ago
If f(x) = x2 – 2x, find:<br> X<br> -<br> f(-3) = [?]
Reptile [31]

Did you mean :

f(x) = x² - 2x, find x = -3

f(-3) = (-3)² - 2(-3)

f(-3) = 9 + 6

f(-3) = 15

6 0
3 years ago
a circle has an area of 81 3.14 units . what is the diameter in terms of 3.14a circle has an area of 81 Pi square units what is
Sunny_sXe [5.5K]
You have posted 2 separate questions here.  Please, next time, separate them with a blank line:

<span>A circle has an area of 81 3.14 units . what is the diameter in terms of 3.14?

I'd prefer you write this as 
"</span><span>A circle has an area of 81 pi units . what is the diameter in terms of pi?

Area of a circle = A = pi*r^2.  Note that r= diameter / 2.  Here, the area is 81 pi square units, or 9^2 * pi square units, which means that the radius is 9 units.  The diameter is then 2(9 units) = 18 units.


Your second question, separated from the first, is:

"</span><span>a circle has an area of 81 Pi square units what is the diameter of the circle?"
</span><span>
Use the following formula or formulas:  d = 2*r; A = pi*r^2; A = pi*(d/2)^2.  Find r first, and then find d.

</span>
4 0
3 years ago
Read 2 more answers
Tim Worker decided to purchase a new DVD player on an installment loan. The DVD player was $295.00. Tim agreed to pay $31.00 per
Kryger [21]
Hi there

Total paid
31×12
=372
finance charge
372−295
=77

Hope it helps
5 0
3 years ago
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