Answer:
$42.80
Step-by-step explanation:
We can set up an equation to solve this as such
A. 2, 200, 2000
This is multiplying the number by 10 each time. In other words, just adding an extra zero to the end of it.
b. 340, 0.034
This one is moving the decimal place forward two places. 10^-2, so removing two zeros from the end of it until eventually you reach decimals and have to move the decimal forward twice, which is essentially what you're doing here.
c. 85700, 857, 0.857
In this one, you remove one zero from the end. You move the decimal forward once when you reach the decimals. This would be 10^-1
d. 444000, 4440000, 44400000
In this one, you multiply each one by 10. Add on a zero to each one.
e. 0.095, 9500000, 950000000
You multiply this one by 10^2, so the number increases.
-x + 1/2 = x + 4 1/2
+x +x
1/2 = 2x + 4 1/2
-4 1/2 - 4 1/2
-4 = 2x
x = -2
The rule for quotients of similar bases with different exponents is:
(a^c)/(a^b)=a^(c-b) in this case:
15^18/(15^3)=15^15
Answer:
See explanartions below
Step-by-step explanation:
Given the coordinates A(-6,3) B(0,5) C(2,-1)
We first need to get the slope of AB, BC and AC
For AB;
A(-6,3) B(0,5)
Mab = 5-3/0-(-6)
Mab = 2/6
Mab = 1/3
For BC;
B(0,5) C(2,-1)
Mbc = -1-5/2-0
Mbc = -6/2
Mc = -3
For AC:
A(-6,3) C(2,-1)
Mac = -1-3/2-(-6)
MAc = -4/8
Mac = -1/2
Taking the product of Mab and Mbc
Mab * Mbc = 1/3 + -3
Mab * Mbc = -1
<em>Since the product of Mab and Mbc is -1, hence AB abd BC are perpendicular showing that one of the angle of triangle ABC is 90 degrees</em>
