<span>For this case we have the following equation:</span>
<span> (x + 2) 2 + y2 = 10</span>
<span> We must remember that the standard equation of the circle is given by:</span>
<span> (x - h) 2 + (y - k) 2 = r2</span>
<span> Where r is the radius.</span>
<span> Therefore, in the given equation the radius is:</span>
<span> r ^ 2 = 10</span>
<span> Clearing we have:</span>
<span> R = root (10)</span>
<span> Answer:</span>
<span> The length of the radius of the circle is:</span>
<span><span> √ (10)</span></span>
What is the intersection of the three sets: A = {0, 2, 3, 6, 8}, B = {2, 3, 6, 8, 9}, and C = {1, 2, 4, 8, 9}? A. {2, 8, 9} B. {
Ugo [173]
Answer:
{2,8}
Step-by-step explanation:
This is the same thing as asking what element (in this case what number) is in all 3 sets.
0 isn't in all 3 sets because it isn't in B.
2 is in all 3 sets
3 isn't because it isn't in C
4 isn't in A.
6 isn't in C.
8 is in all 3 sets.
9 isn't in A
So the elements that are in the 3 sets are {2,8}.
1. 3x^1 + 8 - (2x^2 + 1).....distribute the negative thru the parenthesis
3x^1 + 8 - 2x^2 - 1....now combine like terms
-2x^2 + 3x^1 + 7
2. 5x^2 + 3x - 4 - (x^2 - 6x)...same thing..distribute
5x^2 + 3x - 4 - x^2 + 6x...combine like terms
4x^2 + 9x - 4
THEOREM:
<u>Same Side Interior Angles Theorem</u>:– If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.
ANSWER:
By same side interior angles theorem,
∠4 + 123° = 180°
∠4 = 180° - 123°
∠4 = 57°.
Answer:
1428 in³
Step-by-step explanation:
To find the volume of this figure, we will need to use two formulas. The volume of a Rectangular Prism (
) and volume of a triangular prism. 
If we look at the Rectangular Prism, we can find that l = 17, w = 8, and h = 5. Multiply these to find the volume:
17 × 8 × 5 = 680 in³.
Solving for the triangular prism gives us:
A = 1/2 (11 × 8 × 17)
A = 748.
Add these two volumes to find the volume of the composite figure:
748 + 680 = 1428 in³
