Answer:
y = 1/3x + 2
Step-by-step explanation:
Slope - Intercept Form = y = mx + b
y - intercept = b = 2 (point of intersection of the y-axis)
m = slope
Slope = Change in Y/Change In X
You can see that as the graph goes up by 1, it goes to the right 3, so slope = 1/3
Equation : y = mx + b
Equation : y = 1/3x + 2
-Chetan K
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
Answer:
169.41 mi
Step-by-step explanation:
Let the time required for the outbound trip be t1 and that for the inbound (return) trip be t2. Then t1 + t2 = 4 hr. We can eliminate one variable by solving this equation for it: t1 = 4h - t2.
Then the time spent on the outbound trip was t1 = d / (40 mph) and that on the inbound trip t2 = d / (45 mph). We want to find the total distance traveled, which will be 2d.
d d
t1 + t2 = 4 hr becomes ---------------- + --------------- = 4 hr
40 mph 45mph
We must solve for d. The LCD here is 40*45, or 1800; thus, this equation becomes
45d + 40d = 4(1800), or 85d = 7200. Thus, d = 84.7 miles.
Michael drives this same distance going and returning, so the total distance he drives is 2(84.7 miles) = 169.41 mi
Answer:
X<8
Step-by-step explanation:
-3 > X-11
= -3 +11 > X
= 8 >X
X<8