Answer:
Step-by-step explanation:
121
Answer:
x
2
+6xy+9y
2
+4x+12y−5=0
Step-by-step explanation:
x
2
+6xy+9y
2
+4x+12y−5=0
Comparing the equation with the general equation of second degree gives
a=1,b=9,h=3,g=2,f=6,c=−5
Angle between a pair of straight lines that is tanθ=
∣
∣
∣
∣
∣
∣
a+b
2
h
2
−ab
∣
∣
∣
∣
∣
∣
tanθ=
∣
∣
∣
∣
∣
1+9
2
9−1×9
∣
∣
∣
∣
∣
=
9
0
tanθ=0
⇒θ=tan
−
(0)=0
∘
Angle between the pair of straight lines is zero therefore the lines are parallel.
Hence proved
This exercise is asking you to find the value of x or solve for x, to do so you have to isolate or leave x alone by doing different mathematical operations according to the given equation.
The given equation is -x=3-4x+15, which is a three step equation meaning that in order to solve for x you have to perform three different mathematical operations, in this case combining of like terms, addition, and division.
-x=3-4x+15 Combine like terms
-x=-4x+18 Add 4x in both sides
3x=18 Divide by 3 in both sides to isolate x
x=6
The value of x in the equation is 6 or letter C from the given choices.
Answer:
1,500 rotations
Step-by-step explanation:
To answer this, divide 2.2 m into 3300 m. This results in 1500.
The wheels made 1,500 rotations each.
Answer:
128/3
Step-by-step explanation:
1/6, 2/3, 8/3, . . .
1/6, 4/6, 16/6
We are multiplying by 4 each time
1/6 *4 = 4/6
4/6 * 4 = 16/6
This is a geometric sequence with the common ratio of 4
an = a1 (r)^(n-1)
an = 1/6 (4) ^(n-1)
Let n = 5
a5 = 1/6 (4)^(5-1)
a5 = 1/6 (4)^4
a5 = 1/6 * 256
a5 =128/3