Answer:
x=-5, y=-2. (-5, -2).
Step-by-step explanation:
x-3y=1
-x+6y=-7
-------------
3y=-6
y=-6/3
y=-2
x-3(-2)=1
x+6=1
x=1-6
x=-5
Answer:
1)
<u>Find the union of A and B:</u>
- A∪B = {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20}
<u>Find the complement of above:</u>
- (A∪B)
= - U\(A∪B) =
- {1,2,3,4,...,18,19,20}\ {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20} =
- {1,8,12,16}
2)
<u>Find the intersection of A∩C:</u>
<u>Find the complement of above:</u>
- (A∩C)
= - U\(A∩C) =
- {1,2,3,4,...,18,19,20}\ {5,6,7,14,20} =
- {1,2,3,4,8,9,10,11,12,13,15,16,17,18,19}
Z - (-9) is the same as z + 9. Subtracting a negative is the same as adding.
Therefore
17 = z - (-9)
is the same as
17 = z + 9
To get 'z' all by itself, we need to subtract 9 from both sides. We subtract 9 from both sides to undo the "plus 9" occurring to the 'z' on the right side.
17 = z + 9
17-9 = z + 9=9 ... subtracting 9 from both sides
8 = z
z = 8
So the answer is z = 8
---------------------------
Check:
17 = z - (-9)
17 = 8 - (-9) ... replace z with 8
17 = 8 + 9
17 = 17
Answer checks out
Diameter- Is two times the radius. Circumference is the distance around the edge of the circle.
Radius- A line from the center of a circle to a point on the circle.
Hope this helped.
Answer:
.92
Step-by-step explanation:
sin A = opp side/ hypotenuse
We can use the Pythagorean theorem to find the hypotenuse
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 +7^2 = AC ^2
9+49 = AC ^2
58 = AC^2
Taking the square root
sqrt(58) = hypotenuse
sin A = 7/sqrt(58)
sin A =.91914503
sin A = .92
