Answer:
a) The estimates for the solutions of 
are 
and 
.
b) The estimates for the solutions of 
are 
and 
Step-by-step explanation:
From image we get a graphical representation of the second-order polynomial 
, where 
is related to the horizontal axis of the Cartesian plane, whereas 
is related to the vertical axis of this plane. Now we proceed to estimate the solutions for each case:
a)
There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:
,
b)
There are two approximate solutions according to the graph, which are marked by red circles in the image attached below:
,
Answer:
Infinite.
Step-by-step explanation:
3(x+1)-5=3x-2
3x+3-5=3x-2
3x-2=3x-2
True for any number.
To solve this problem, we must use the order of operations outlined by PEMDAS, which tells us that we should simplify or compute parentheses first, then exponents, multiplication, division, addition, and finally subtraction.
Using this method, we have to perform the multiplication inside the parentheses first.
(20 * 40) * 14
800 * 14
Finally, we must perform the final operation to simplify this expression, which is multiplication.
800 * 14 = 11200
Therefore, your final answer is 11200.
Hope this helps!
We know that
[area of a regular hexagon]=6*[area of one <span>equilateral triangle]
</span>210.44=6*[area of one equilateral triangle]
[area of one equilateral triangle]=210.44/6-----> 35.07 cm²
[area of one equilateral triangle]=b*h/2
h=7.794 cm
b=2*area/h------> b=2*35.07/7.794------>b= 9 cm
the length side of a regular hexagon is 9 cm
<span>applying the Pythagorean theorem
</span>r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm
<span>this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)
</span>
the answer is
the radius is 9 cm
