No solution means that the lines are paralell and have differnt y intercepts
paralell means has same slope
y=mx+b
m=slope
b=yint
given equation is
y=-3x+5
slope=-3
yint=5
paralell so
y=-3x+b
wher b is any number except 5
example
y=-3x+4
y=-3x+√3
y=-3x-π
basically
m=-3
b=any number except 5
Answer:
2496 cubic feet
Step-by-step explanation:
Dimension of storage unit 13 ft x 16 ft x 12 ft.
Since there are three sides it can be safely assumed that storage unit is rectangular in shape.
Volume of rectangular body is given by length * width * height
Using the above formula in the given dimension we have
volume of storage unit = length of storage unit * width of storage unit * height of storage unit
volume of storage unit = 13 ft * 16 ft * 12 ft = 2,496 cubic feet
Since b = c, the angles B and C are congruent.
180 - 45 = 135
135/2 = =67.5
A = 45
B = 67.5
C = 67.5
a = ?
b = 4
c = 4
Since we know two sides and all three angles, we can use the law of sines to find a.
b/sin B = a/sin A
4/(sin 67.5) = a/(sin 45)
a = 4(sin 45)/(sin 67.5)
a^2 = (4(sin 45)/(sin 67.5))^2
a^2 = 9.37
Let's find the least possibilities:
First number: 6
Second number: 8
Third number: 10
6 + 8 + 10 = 24
Now we can see that we are still missing 31 - 24 = 7.
7 can be gained by adding 3 and 4, so:
First number: 6 + 3 = 9
Second number: 8 + 4 = 12
Third number: 10
9 + 12 + 10 = 31
Answer:
x=10
Step-by-step explanation:
90+3x+10+3x+20=180
-90 -10 -20 -120
combine like terms
6x=60
x=10
