Answer:
It takes 26 2/3 gallons to make a 400 mile trip.
Step-by-step explanation:
This question is simply asking for the number of miles per gallon . In math, <em>per</em> means this is meant to be written as a fraction.
"If a trip of 270 miles required 18 gallons of gas" is actually saying "270 miles per 18 gallons." This can be written as a fraction like so: 270/18.
If we're looking for the amount of gas used for a 400 mile trip, we have the fraction: 400/g, g being the amount of gallons it took to make that trip.
Now we can set up the proportion: 
Cross multiply and solve accordingly.
400
/g
So the answer is:
It takes 26 2/3 gallons to make a 400 mile trip.
Answer:
Step-by-step explanation:
"Inversely proportional to x" in this situation is represented by a = k/x.
Find k:
Let a = 15 and x = 25, then calculate k:
15 = k/25)
Multiplying both sides by 25 yields k = 15(25), or k = 3/5
3
and so a = -----------
5x
Answer:
1,2,3 and 6 are similar triangles by AA similarity
Step-by-step explanation:
1) ∠DEC ≅ ∠FEG {Vertically opposite angles}
DC // GF
∠ECD ≅ ∠EGF {Alternate interior angles}
∠EDC ≅ ∠EFG {Alternate interior angles}
ΔDEC & ΔFEG are similar triangles by AA similarity
2)MN // QP
∠LQP ≅ ∠QMN {Corresponding angles }
∠LPQ ≅ ∠PNM {Corresponding angles}
ΔLQP & ΔLMN are similar triangles by AA similarity
3) In ΔSYE ,
∠S = 180 - 90 - 39
∠S = 51°
In ΔCHW,
∠H = 180 - 51 - 90
∠H = 39
ΔSYE and ΔCHW
∠S ≅ ∠W = 51°
∠Y ≅ ∠C = 90°
∠E ≅∠H = 39°
ΔSYE & ΔWCH are similar triangles by AA similarity
6) ∠P ≅ ∠Z {Given}
∠PXQ ≅∠ZXY {Vertically opposite angles}
ΔPXQ & ΔZXY are similar triangles by AA similarity
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of
Answer:
y=-2/3x-3
Step-by-step explanation:
y-y1=m(x-x1)
y-(-1)=-2/3(x-(-3))
y+1=-2/3(x+3)
y=-2/3x-6/3-1
y=-2/3x-2-1
y=-2/3x-3
