Answer:
x=-2
Step-by-step explanation:
You can substitute the first equation into the second:
-3x+3=5x+19
Add 3x on both sides:
3=8x+19
Subtract 19 on both sides:
-16=8x
Divide 8 on both sides:
x=-2
Answer:
6 kg
Step-by-step explanation:
Given is weight of an object directly varies with the mass of the object .
Let the constant of proportionality be k
So,
Weight = K×(mass of the object)
For an object , weight = 45 N
mass = 9 kg
So , 45 = K×9
K = 5.
Now, for the other object ,
Weight = 30 N. K = 5 (as obtained above)
So, 30 = 5×(mass of the object)
mass of the object = 6 kg.
In similar triangles ratios of corresponding sides are constant, so
|AB|/|DE| = |BC|/|EF|
5/10 = 8/|EF|
|EF| = (8*10)/5 = 16
|EF| = 16
Answer:
4,069.44 in squared
Step-by-step explanation:
pir^2
72/2 = 36
36^2 = 1,296pi
1,296*3.14 = 4,069.44
