Answer:
Above the x-axis
Step-by-step explanation:
Lets assume a polygon that has coordinates at A(3,2), B(3,4),C(6,4),D(6,2).
This polygon is in the 1st quadrant
so rotate it clockwise 90° about the origin, you apply the rule that point of object (h,k) will change to (k,-h) hence
A (3,2) ⇒A'(2,-3)
B (3,4) ⇒ B'(4,-3)
C (6,4) ⇒C' (4,-6)
D (6,2) ⇒D' (2,-6)
the image is in the 4th quadrant
Reflecting the rotated figure on the x-axis we get
A''=(2,3)
B''=(4,3)
C''=(4,6)
D''=(2,6)
it is on the 1st quadrant
The translation is(-3,3)
The image will be
A'''=(-3+2,3+3) = (-1,6)
B'''=(-3+4,3+3)= (1,6)
C'''=(-3+4,6+3)= (1,9)
D'''=(-3+2,6+3)= (-1,9)
the final figure above x-axis
Answer:
Inside the jar there's 16 nickels and 35 quarters.
Step-by-step explanation:
Since there are only nickels and quarters in the jar, the sum of the number of nickels and the number of quarters inside it must be equal to the total number of coins in the jar. So
nickels + quarters = 51
We know the total value inside the jar, to obtain this value we must multiply the amount of each kind of coin by it's value and sum it. So we have:
0.05*nickels + 0.25*quarters = 9.55
We now have two equations and two variables, so we can solve them as follows:
nickels + quarters = 51
0.05*nickels + 0.25*quarters = 9.55
From the first equation:
nickels = 51 - quarters
0.05*(51 - quarters) + 0.25*quarters = 9.55
2.55 - 0.05*quarters + 0.25*quarters = 9.55
0.2*quarters = 9.55 - 2.55
quarters = 7/0.2 = 35
nickels = 51 - 35 = 16
Inside the jar there's 16 nickels and 35 quarters.
Answer:
n(t) = 10×1.2^t
Step-by-step explanation:
The idea here is that the number of ill students is multiplied by 1+20% = 1.20 each hour. That is, after t hours, you have multiplied the original number by 1.20 "t" times. Of course, repeated multiplication is signified using an exponent.
The form you can use in such cases is ...
value = (initial value)×(growth factor in period)^(number of periods)
Here, you're given a growth rate (20% per hour), so you add 1 to get the growth factor (as we showed above).
Your exponential function can be ...
n(t) = 10×1.20^t
Answer:
I believe the answer would be 65
No single number can do that. You need at least two of them.
You can do it if one number is 10 and the other one is 20 .
10 + 20 = 30
10 x 20 = 200