Answer:
he shortest distance from the point E to a side of square ABCD is 0.293
Step-by-step explanation:
The question parameters are
Shape of figure ABCD = Square
Point E lies on the diagonal line AC
The length of the segment AE = 1
Therefore, we have;
Length of AC = √(AB² + CD²) = √(1² + 1²) = √2
Hence, the point E is closer to the point C and the closest distance to a side from E is the perpendicular from the point E to BC at point E' or to CD at poit E'' which is found as follows;
AC is a bisector of ∠DAB, hence;
∠DAC = 45° = ∠CAE'
EE' = EC × cos(45°)
EC = AC - AE = √2 - 1
Therefore;
EE' = (√2 - 1) × cos(45°) = (√2 - 1) × (√2)/2 = 1 - (√2)/2 = 0.293
Hence, the shortest distance from the point E to a side of square ABCD = 0.293.
<h3>
<u>Answer:</u></h3>

<h3>
<u>Step-by-step explanation:</u></h3>
Here , two circles are given which are concentric. The radius of larger circle is 10cm and that of smaller circle is 4cm . And we need to find thelarea of shaded region.
From the figure it's clear that the area of shaded region will be the difference of areas of two circles.
Let the,
- Radius of smaller circle be r .
- Radius of smaller circle be r .
- Area of shaded region be
<h3>
<u>Hence </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> the</u><u> </u><u>shaded </u><u>region</u><u> is</u><u> </u><u>2</u><u>6</u><u>4</u><u> </u><u>cm²</u><u>.</u></h3>
Step-by-step explanation:
Monomial = x^2, 1 term
Binomial = x^2 + x, 2 terms
Trinomial = x^2 + x + 3, three terms
Binomial is more than 3 terms
Let's do a 3rd degree polynomial like:

- Now let's put parenthesis around (x^3 + 2x^2) and (4x + 8)
- Let's treat both of these as seperate for now. In the first part, you can see an x^2 can be factored out of it

- As you can see, if you do the distributive property, it equals the original.
Now let's factor the second part, the 4x + 8. This can be factored by a 4.

Your new equation is:

x^2 + 4 can be factored again down to (x + 2)(x + 2)
YOUR FINAL EQUATION IS:

Answer:
g(x) = 19
Step-by-step explanation:
y = 4 + 3 (6-1)
y = 4 + 15
y = 19