2 of the graphs are perpendicular lines.
One line has a slope of 2x the other line.
Answer:
32 + 5 is 37
Step-by-step explanation:
you just have to get the 32 and count 5 numbers forward.
+
First, find the least common denominator (LCD) of the two fractions.
Multiples of 16: 16
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16
The LCD is 16.
Second, make the denominators the same as the LCD. / Your problem should look like:
+
Third, simplify. The denominators are now the same. / Your problem should look like:
+
Fourth, join the denominators. / Your problem should look like:
Fifth, simplify. / Your problem should look like:
Sixth, convert to mixed fraction. / Your problem should look like:
Answer:
Answer:
3/2
Step-by-step explanation:
Because the problem tells you that the two triangles are similar, the value of a/b would be equivalent for both triangles. The fact that they are right triangles also indicates which sides are which in case the image was not drawn to scale. A is proportional to 2.1 and b is proportional to 1.4. So a/b= 2.1/1.4. This can reduce itself to 3/2 because both are divisible by .7
Using algebra...
n and n+2 are the integers
n*(n+2)=288
n^2+2n=288
n^2+2n-288=0
288=2*2*2*2*2*3*3=(2*2*2*2)*(2*3*3)=16*18 and 18-16=2
factor
(n+18)(n-16)=0
n+18=0
n=-18
n+2=-16
this is one solution
n-16=0
n=16
n+2=18
this is another solution
as you can see, it's just a matter of factoring
288
using arithmetic...
√288=16.97≈17
16 and 18 are the integers (as well as -16 and -18)
