Answer:
Step-by-step explanation:
p^2-8p-9
factor out the trinomial
(p-9)(p+1)
Therefore, she's incorrect. Because (p-1)(p+9)=p^2-p+9p-9=p^2+8p-9 and that's different from p^2-8p-9.
Answer:
20 mph
Step-by-step explanation:
Let speed of Train a = Va mph
Let speed of Train b = Vb mph
Va = Vb + 30
Let time taken for Train a = Ta
Let time taken for Train b = Tb
time taken = distance travelled/speed
Ta = 350/Va = 350/(Vb+30)
Tb = 140/Vb
But they both travel in the same amount of time.
So, Ta = Tb
Cross multiply
Divide both sides by 210
the 2 angles are congruent so...
x+40=3x set the 2 equations equal to each other
40=2x subtract x from both sides
20=x divide by 2
x=20 is the final answer
Have a blessed day!
Answer:
First number: 20
Second number: 30
Step-by-step explanation:
First#: x
Second#: y
Constraints:
x + y = 50
1/4x + 2/3y = 25
Isolate variable y:
x + y = 50
-1/4 (x + y = 50 )
-1/4x - 1/4y = -12.5
Add equations the two equations to eliminate x:
-1/4x - 1/4y = -12.5
1/4x + 2/3y = 25
_________________
5/12y = 12.5
5y = 150
y = 30
Substitution to find x:
x + y = 50
x + 30 = 50
x = 20
