Answer:
k = -9.
Step-by-step explanation:
As the triangle is right-angled at Q, by Pythagoras:
PR^2 = PQ^2 + RQ^2
So, substituting the given data and using the distance formula between 2 points:
(7 - 1)^2 + (k - 4)^2 = (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2
36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2
(k - 4)^2 - (k + 4)^2 = 180 - 36
k^2 - 8k + 16 - (k^2 + 8k + 16) = 144
-16k = 144
k = -9.
Answer:
Step-by-step explanation:
If you divide 33 by 11 it’ll be 3 so we can cross B off, and A too because it’s not a double digit
So that leaves us with C & D.
If we divided 222 and 11 it would leave us with 10 which doesn’t match 11, so that leaves us with D
(Sorry if I didn’t’t explain right )
Answer:
The percentage of overdue accounts are held by customers in the "risky credit" category is 62.5%
Step-by-step explanation:
Customers in the "risky" category (25% of total accounts) allow their accounts to go overdue 50% of the time on average.
That means that on average, 12.5% of total accounts is overdue.
0.25*0.50 = 0.125
In the "good credit" category only 10% goes overdue. That means 7,5% of total accounts goes overdue in this category.
0.75*0.10=0.075
The total accounts that go overdue is 0.125+0.075 = 0.200.
The percentage of overdue accounts held by customers in the "risky credit" category is:
0.125/0.200 = 0.625 or 62.5%
Answer:
> -5 4/5 is greater than
Step-by-step explanation:
First you must make them have the same denominator. So you think, which numbers do 5 and 16 have in common. 5, 10, 15 , 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80...... 16, 32, 48, 64, 80. We see that they have the number 80 in common so we multiply 4/5 by 16 which equals 64/80 then we multiply 3/16 by 5 which equals 15/80 we now see the new equation which is: -5 64/80 ___ -5 15/80. we see that -5 64/80 is greater
1x68
2x34
4x17
Hope that helps
