Answer:
A. -1, multiplicity 1; 0, multiplicity 1; 3, multiplicity 1.
Step-by-step explanation:
Let 
, to determine its roots and multiplicities we proceed to factorize the polynomial:
1) 
Given
2) 
Distributive property
3) 
Quadratic formula/Result
The roots and multiplicities of are:
<em>0 (multiplicity 1)</em>
<em>3 (multiplicity 1)</em>
<em>-1 (multiplicity 1)</em>
Therefore, the correct answer is A.
Answer:
<h2>Increase.</h2>
Step-by-step explanation:
Two-dimensional space is modelled by the coordiante system with 4 quadrants only, and the axis are x and y, the independent and the dependent variables, respectively.
On the other hand, the three-dimensional space has three coordinates, x, y and z. The extra coordinate allows to have a three-dimensional space. Also, this extra coordinate increases the number of quadrants, actually, they are called octants, becayse they are eight.
Therefore, the word missing here is "increase".
You have to rearrange into the format y=mx+b.
Answer:
Step-by-step explanation:
The two long sides on the left and right and bisected into two equal parts each
That means that since there is an angle in common to the top little triangle and the whole diagram, the little triangle on top and the whole triangle are similar.
The ratio of similarity is 1/2
10/(5x + 5) = 1/2 Cross multiply
(5x + 5)*1 = 10*2
5x + 5 = 20 Subtract 5 from both sides
5x = 20 - 5 Combine
5x = 15 Divide by 5
5x/5 = 15/5
x = 3
Answer:
242.4 ft
Step-by-step explanation:
The angle immediately adjacent to the 29° angle is (90° - 29°) , or 61°.
The cosine function relates this 61° angle to the 500 ft hypotenuse and the unknown adjacent side y:
y
cos 61° = -----------
500 ft
so that y = (500 ft)(cos 61°) = (500 ft)(cos 61°) = (500 ft)(0.485) = 242.4 ft
