Answer:
<u>The standard form is:</u>
- (x - h)² + (y - k)² = r², where (h, k) is the center, r is the radius
<u>Convert the given into standard form by completing square:</u>
- x² - 4x + y² + 6y = 12
- x² - 4x + 4 + y² + 6y + 9 = 12 + 4 + 9
- (x - 2)² + (y + 3)² = 25
- (x - 2)² + (y + 3)² = 5²
- The standard form is above.
- The center is (h, k) = (2, -3)
- The radius is r = 5
P=present value of investment = 2800
i=interest per quarter=0.07/4=0.0175
n=number of quarters money invested (to be calculated)
Interest = P[(1+i)^n-1]=500
2800((1+0.0175)^n-1)=500
(1+0.0175)^n=500/2800+1
take log on both sides
n(log(1.0175)=log(1+500/2800)
n=log(1+500/2800)/log(1.0175)
=9.471 quarters
=37.88 months
=37.9 months [ nearest tenth of a month ]
2(a^2+b^2).
A^2 but b^2 = c^2 (area of triangle)
A trapezoid is two triangles put together i just say multiply those together
Answer:
x=7
Step-by-step explanation:
(12x+1))+(5x-3)=117
conbine like terms
17x-2=117
+2 +2
17x=119
/17 /17
x=7
The sequence is 2n if we're finding a pattern. multiply the previous number by 2 to get the next.
