Answer:
Solving quadratic equations can be difficult, but luckily there are several different methods that we can use depending on what type of quadratic that we are trying to solve. The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.
Step-by-step explanation:
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(X+5)^2 = x^2 +10x + 25
the expression that is equivalent to
To multiply it we apply FOIL method
Multiply x with x+5 first and then we multiply 5 with x+5
Multiply the exponent of x by 4giving <span> The answer is </span><span> x^4 evaluates to </span><span> Multiply and 5 </span><span> Multiply and 1 </span><span> The just gets copied along. </span><span> The answer is </span> <span> 5*x^4 evaluates to </span><span> Multiply the exponent of x by 4giving </span><span> The answer is </span><span> x^4 evaluates to </span><span> Multiply and 6 </span><span> Multiply and 1 </span><span> The just gets copied along. </span><span> The answer is </span> <span> 6*x^4 evaluates to </span><span> Multiply the exponent of x by 2giving </span><span> The answer is </span><span> x^2 evaluates to </span><span> Multiply and 3 </span><span> Multiply and 1 </span><span> The just gets copied along. </span><span> The answer is </span> <span> 3*x^2 evaluates to </span><span> 6*x^4-3*x^2 evaluates to </span><span> The answer is </span><span> 6*x^4-3*x^2+7 evaluates to </span><span> Multiply by </span><span> we multiply by each term in term by term. </span> This is the distributive property of multiplication. <span> Multiply and </span><span> Multiply the and </span><span> Multiply and </span><span> Combine the and by adding the exponents, and keeping the x, to get </span><span> The answer is </span> <span> × = </span><span> Multiply and </span><span> Multiply the and </span><span> Multiply and </span><span> Combine the and by adding the exponents, and keeping the x, to get </span><span> The answer is </span> <span> × = </span><span> Multiply and 7 </span><span> Multiply and 1 </span><span> The just gets copied along. </span><span> The answer is </span> <span> × 7 = </span><span> 5*x^4*(6*x^4-3*x^2+7) evaluates to </span><span>The final answer is </span>
Answer:
10+3pi
Step-by-step explanation:
The perimeter of of the shaded region is
AC+CT+marcSBT+SA
*Finding AC
The diagonals of a rectangle are equal is measurement. Since RB is a radius of the circle, then RB is 6. Since AC and RB are both diagonals of the rectangle, then AC is also 6.
*Finding CT
CT=RT-RC where RC is the width of the rectangle
Also RT is a radius so we have that
CT=6-RC
*Finding marcSBT
The circumference of a whole circle is 2pi*r.
We have a quarter of this with r=6.
1/4*2pi(6)
1/4*12pi
3pi
*Finding SA
SA=RS-AR
RS is a radius of the circle and AR is the length of the rectangle.
So we have that this can be rewritten as
SA=6-AR
Let's put these parts together:
6+6-RC+3pi+6-AR
Simplifying:
18-RC-AR+3pi
18-(RC+AR)+3pi
18-8+3pi (Remember length plus width equal 8)
10+3pi
