Answer:
-3
Step-by-step explanation:
f(x) = x2 – 4
replace x with -1
f(-1) = (-1)^2 – 4
= -3
Answer:
0.5amps
Step-by-step explanation:
I is inversely proportional to resistance
I = k/R
k = I/ R
k = 20/5
k = 4
This means that, I = 4/R
So, when R = 8ohms,
I = 4/8
=0.5amps
Answer:
Javier,16,12
Step-by-step explanation:
From the first bag, we can pull a 1,2 or 3. That would go on the first line of the tree diagram
From the 2nd bag, we can draw a 4,5, or 6. That goes on the the second line under each number
From the 3rd bag, we can draw a 7,8, or 9. That goes on the the third line under each number
Javier drew the correct tree diagram.
1,3,5,7,9 are odd numbers. We must have at least 2 of these numbers
1,4,7 2,5,7 3,4,7
1,4,9 2,5,9 3,4,9
1,5,7 3,5,7
1,5,8 3,5,8
1,5,9 3,5,9
1,6,7 3,6,7
1,6,9 3,6,9
There are 16 total where there are at least two odd numbers
Multiples of 4 are 4 and 8
We must have either a 4 or an 8 but not both
1,4,7 2,4,7 3,4,7
1,4,9 2,4,9 3,4,9
1,5,8 2,5,8 3,5,8
1,6,8 2,6,8 3,6,8
There are 12 outcomes
Answer:The scale factor is (√10) / (4)
Explanation:The complete question as well as the rule for the distance between two points are shown in the attached image.
To get the scale factor, we will follow these steps:1- Length of AB:AB = √(5-9)²+(-4-4)²
AB = √80
AB = 4√5 units
2- Length of A'B':A'B' = √(5-6)²+(-4-3)²
A'B' = √50
A'B' = 5√2
3- getting the scale factor:A'B' = k AB where k is the scale factor
5√2 = k * 4√5
k = (√10) / (4)
Hope this helps :)