Answer:
12x+4
Step-by-step explanation:
2(6x+2)
2multiply both 6x and 2
12x+4
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Given:
2 shapes : square and equilateral triangle
side length = 2 cm
height of equilateral triangle = 1.7 cm
Equilateral triangle means that all sides are of equal measurement.
Area of a Square = a² ⇒ (2cm)² = 4cm²
Area of an equilateral triangle = √3/4 * a²
Area of an equilateral triangle = √3/4 * (2cm)² = 0.43 * 4cm² = 1.72 cm²
Area of the logo = 4 cm² + 1.72 cm² = 5.72 cm²
For this case we have that by definition, the roots, or also called zeros, of the quadratic function are those values of x for which the expression is 0.
Then, we must find the roots of:

Where:

We have to:
Substituting we have:

By definition we have to:

So:

Thus, we have two roots:

Answer:

3 blue birds
if he sees 5 more than blue 8 - 5 = 3
Answer:
y(s) = 
we will compare the denominator to the form 

comparing coefficients of terms in s
1
s: -2a = -10
a = -2/-10
a = 1/5
constant: 

hence the first answers are:
a = 1/5 = 0.2
β = 5.09
Given that y(s) = 
we insert the values of a and β
= 
to obtain the constants A and B we equate the numerators and we substituting s = 0.2 on both side to eliminate A
5(0.2)-53 = A(0.2-0.2) + B((0.2-0.2)²+5.09²)
-52 = B(26)
B = -52/26 = -2
to get A lets substitute s=0.4
5(0.4)-53 = A(0.4-0.2) + (-2)((0.4 - 0.2)²+5.09²)
-51 = 0.2A - 52.08
0.2A = -51 + 52.08
A = -1.08/0.2 = 5.4
<em>the constants are</em>
<em>a = 0.2</em>
<em>β = 5.09</em>
<em>A = 5.4</em>
<em>B = -2</em>
<em></em>
Step-by-step explanation:
- since the denominator has a complex root we compare with the standard form

- Expand and compare coefficients to obtain the values of a and <em>β </em>as shown above
- substitute the values gotten into the function
- Now assume any value for 's' but the assumption should be guided to eliminate an unknown, just as we've use s=0.2 above to eliminate A
- after obtaining the first constant, substitute the value back into the function and obtain the second just as we've shown clearly above
Thanks...