Solution:
<u>We know the following rules:</u>
- Rule: If an exponent is negative, it will be in the fraction 1/nˣ.
- Rule: If an exponent is positive, it will be in whole number form and will multiply itself m times.
- Rule: if a number's exponent is 0, then the number is 1.
Now, let's solve each problem.
<u>Question-7</u>
- 4³ = 4 x 4 x 4 = 64
- 4² = 4 x 4 = 16
- 4¹ = 4
- 4⁰ = 1
<u>Question-8</u>
- (-2)³ = (-2) x (-2) x -(2) = -8
- (-2)² = (-2) x (-2) = 4
- (-2)¹ = -2
- (-2)⁰ = 1
Hoped this helped!
Answer:
(x - 6)² + (y - 2)² = 128
Step-by-step explanation:
Given as the circle has center ( 6 , 2)
and it passes through points (-2 , -6)
Now , standard equation of circle is (x -a)² + (y- b)² = r² , where (a , b) is center and r is the radius .
Again from given center the circle equation is
(x- 6)² + (y- 2)² = r²
Now this circle passes through points (-2 , -6)
so, (-2 -6)² + (-6 -2)² = r²
so, 8² + 8² = r²
Or, 128 = r²
i.e Radius pf this circle = 8
Hence the circle equation formed is
(x- 6)² +( y-2)² = 128 Answer
We can solve this problem using the Triangle Inequality property. The Triangle Inequality property states that the sum of two sides of a triangle will always be greater than the third. That being said, the only answer that works is the last one, which has the answer of 9 cm, 15 cm, and 22 cm.
Answer:
$2,833.47
Step-by-step explanation:
n = [lnA - lnP] / ln(1 + i)
n = [ln15000 - ln10000] / ln(1 + 0.03)
n = [9.6158 - 9.2103] / 0.0296
n = 13.70
13 years, 8 months and 12 Days
Part 2:
P = A / [(1 + i)n]
P = 15000 / [(1.03)4]
P = 15000 / 1.1255
P = $13,327.31
Part 3:
A = 10000 (1 + 0.04)5
A = $12,166.53
The amount of money you need to save to buy a car at $15,000 would be;
$15,000 - $12,166.53
=> $2,833.47
Hello,
H^(-1)(x)=-3/2 x+9
Answer A
Indeed:
y=-2/3x+6-->x=-2/3 y +6 ==>3x=-2y+18==>2y=-3x+18==>y=-3/2 x +9
