0.0208
you move it two decimal places to the left.
Answer:
the total value of jaspers assets is: $15,800
the total value of jaspers liabilities is: $4,400
Step-by-step explanation:
Answer:
Step-by-step explanation:
By the theorem of intern angles of a triangle, we know that the sum of all intern angles of a triangle must be 180°, therefore:
*There are two equal angles because there are two equal sides
Now, applying the law of sines, we can find side a. The law of sines is represented by the following equation:
Hence, if b=100, alpha=40° and betha=70°, solve for a:
(-7)+13=6
(-7)-13=(-20)
Therefore A and C are the possible coordinates
Step-by-step answer:
Given:
Circle C1: x^2+y^2 = 45
Line L1: -3x+y=15
Need to find the points of intersection.
Solution:
basically we need to solve for the roots of equations C1 and L1.
Here, we can use substitution of L1 into C1.
Rewrite L1 as : y=3x+15
substitute into C1:
x^2+(3x+15)^2 = 45
Expand
x^2 + 9x^2+90x+225 = 45
Rearrange terms:
10x^2+90x+180 = 0
Simplify
x^2+9x+18 = 0
Factor
(x+6)(x+3) = 0
so
x=-6 or x=-3
Back-substitute x into L1 to calculate y:
x=-6, y=3*x+15 = 3(-6)+15 = -3 => (-6,-3)
x=-3, y=3*x+15 = 3(-3) + 15 = 6 => (-3, 6)
Therefore the intersection points are (-6,-3) and (-3,6)
Check using equation C1:
(-6)^2+(-3)^2 = 36+9 = 45 ok
(-3)^2+(6)^2 = 9 + 36 = 45 ok
Check using equation L1:
Point (-6,-3) : y = 3x+15 = 3(-6) +15 = -3 ok
Point (-3,6) : y = 3x+15 = 3(-3)+15 = 6 ok.
