Answer
Formula

where r is the radius of a circle.
As shown in the image
Diameter of the circle = 16 .3 cm

= 8.15 cm
Put in the formula

As


= 51.2 cm (approx)
Therefore the circumference of a circle is 51.2cm (approx) .
Option (D) is correct .
The potential solutions of
are 2 and -8.
<h3>Properties of Logarithms</h3>
From the properties of logarithms, you can rewrite logarithmic expressions.
The main properties are:
- Product Rule for Logarithms -

- Quotient Rule for Logarithms -

- Power Rule for Logarithms -

The exercise asks the potential solutions for
. In this expression you can apply the Product Rule for Logarithms.

Now you should solve the quadratic equation.
Δ=
. Thus, x will be
. Then:

The potential solutions are 2 and -8.
Read more about the properties of logarithms here:
brainly.com/question/14868849
5 hours and 30 minutes or 5.5 hours
To find the solution, we use the substitution method.
x+y=-1
<span>x-3y=11
</span>
x+y = -1-y
-y
x = -1-y
Now apply the value of x into the other equation.
x-3y=11
-1-y-3y = 11
Combine like terms
-4y -1 = 11
+1 +1
-4y = 12
-4y = 12
-4y/-4 = 12/-4
y = -3
Now, apply the value of Y to one equation to find x.
y = -3
x -3 = -1
+3 +3
x= 2
Now we have the value for both, x and y.
x = 2
y =-3
Final answer: A. <span>(2, −3)</span>
Answer:
16 cm
Step-by-step explanation:
Suppose that x is the original width. If that original width is enlarged by a scale factor 5/2 that means that x is multiplied by 5/2 and after that multiplication we obtained new width, 40 cm.
Therefore,
x*(5/2) = 40
We multiply the equation by 2 and obtain:
x*5 = 40*2
5x = 80
Now we divide the equation by 5 and obtain:
x = 80/5
x = 16
We obtained that x, the original width was 16 cm