The correct graph is graph 4.
You can find this by looking for recognizable points. This is the easiest way to find composite graphs. In the graph f(x) =|x − 5| + |x − 4| both 5 and 4 yield the answer of 1. You can see that in the examples below:
<span>f(x) =|x − 5| + |x − 4|
</span><span>f(5) =|5 − 5| + |5 − 4|
</span><span>f(5) =|0| + |1|
f(5) = 0 + 1
f(5) = 1
</span><span>f(x) =|x − 5| + |x − 4|
</span><span>f(4) =|4 − 5| + |4 − 4|
</span><span>f(4) =|-1| + |0|
f(4) = 1 + 0
f(4) = 1
Now we can look for graphs that have those two reference points. The 4th graph is the only one that has those. </span>
Answer:
22
Step-by-step explanation:
m1 + m2 = 180
3x - 17 + 5x + 21 = 180
3x + 5x + 21 - 17 = 180
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176 / 8
x = 22
Answer:
the fraction of surface that is not covered is 11/36
Step-by-step explanation:
To do this we first have to calculate the two surfaces
s = π * r^2
π = 3.14
r = d/2
d1 = 20
d2 = 24
r1 = 20/2
r1 = 10
r2 = 24/2
r2 = 12
s1 = π * r1^2
s1 = 3.14 * 10^2
s1 = 3.14 * 100
s1 = 314
s2 = π * r2^2
s2 = 3.14 * 12^2
s2 = 3.14 * 144
s2 = 452.16
to know the part that is not covered we simply do the s1 over the s2 and we subtract that from 1
s1 / s2 =
314 / 452.16 =
25/36
1 we subtract this
1 - 25/36 = 11/36
the fraction of surface that is not covered is 11/36
Answer:
A is the correct answer
Step-by-step explanation:
Mathematically if we have lengths a, b and c
For a triangle to occur, let us say that the third side is c
then a + b must be greater than or equal to c
Hence c must be equal to (4 + 8) or greater than (4 + 8)
With the options given , A is the correct answer
Answer: -4.9 degrees Celsius
Step-by-step explanation:
-1.7 minus 3.2 is -4.9
