Answer:
9. 6k + 5 and 2k - 1.
10. 5√2 .
Step-by-step explanation:
9. Area = 12k^2 + 4k - 5
Factoring:
12k^2 - 6k + 10k - 5
= 6k(2k - 1) + 5(2k - 1)
= (6k + 5)(2k - 1)
So the required lengths are 6k + 5 and 2k - 1.
10. The ratio of a leg to the hypotenuse is 1: √2 so if the hypotenus = 10 the length of a leg is 10 / √2
= 10 √2 / 2
= 5√2 .
<u>→ Chapter : </u><span>
<u>Equation of A Straight Line </u></span>
<u>←</u><em>≡ General equation of a straight line:</em>⇔
<em>≡ Solution:</em>⇔ To know the slope in the equation, we just need to see the variable of x

∴ So, the slope of this equation is
-0.04, -3/8, -0.38 is the answer
2(pi)r = 9.4in
(pi)r = 4.7in
3.14r = 4.7in
r = 1.497in
Surface Area Of a Sphere = 4(pi)r^2 = [4(3.14)(1.497)^2]in^2 = 28.147in^2 = 28in^2
Volume Of a Sphere = 4/3(pi)r^3 = [4/3(3.14)(1.497)^3]in^3 =14.05in^3 = 14in^3
To solve this problem you must apply the proccedure shown below:
a) You must sum terms with same exponents, therefore, you have that the sum of these two polynomials is:


b) First, you must mulitply the signs of the second polynomial by the negative sign, and them, you apply an algebraic sum. Therefore, the result is:

The answers are: a)
; b) 