Answer:
y - 4 = (1/3)(x - 9) or x - 3y = -3
Step-by-step explanation:
Here we're told that the slope is 1/3 and that (9, 4) is a point on the line. Use the point-slope formula y - k = m(x - h). Substitute 4 for k, 9 for h and 1/3 for m:
y - 4 = (1/3)(x - 9) (point-slope formula)
3y - 12 = x - 9 (standard form of the same equation) = >
-12 + 9 = x - 3y, or x - 3y = -3 (standard form)
Answer:
The ordered pair will simply be the point at which these two lines cross. We solve the equations as simultaneous equations.
The solution is the point
(
−
6
,
−
11
)
Explanation:
We solve the set of two equations as simultaneous equations.
Call this Equation 1:
y
=
2
x
+
1
Call this Equation 2:
y
=
x
−
5
Rearrange Equation 2 to make
x
the subject:
x
=
y
+
5
Substitute this value of
x
into Equation 1:
y
=
2
(
y
+
5
)
+
1
=
2
y
+
10
+
1
=
2
y
+
11
Rearranging:
−
y
=
11
y
=
−
11
We can substitute this into either equation to find the value of
x
:
x
=
−
6
That means the intersection of the lines is at the point
(
−
6
,
−
11
)
.
Step-by-step explanation:
Answer:
The airplane is 12 ft long.
Step-by-step explanation:
If one inch is 2 feet in real life, if there are six inches, that means there are 12 feet because it is a one to two ratio. :)
Number of females = f
Total number of people in audience = n
0.4n = f
f + (f+ 100) = n
2f + 100 = n
Find n:
f = 0.4n --> Replace f with 0.4n in the equation 2f +100 = n
2(0.4n) + 100 = n --> Multiply out the brackets
0.8n + 100 = n --> Subtract 0.8n from both sides
100 = 0.2n --> To get n, multiply both sides by 5
n = 500
There were 500 people in the audience.
