Answer:
3(x - 5)(x + 1).
Step-by-step explanation:
3x^2 - 12x - 15
Dividing through by 3:
= 3(x^2 - 4x - 5)
We need 2 numbers whose sum is -4 and whose product = -5. That is -5 and +1 , so the factors are:
3(x - 5)(x + 1).
Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
Answer:
360 miles
Step-by-step explanation:
When the second car catches up with the first car they will have travelled the same distance which we call x miles.
Speed = distance / time
For first car 60 = x / t where t = time taken
giving x = 60t
for second car 90 = x / (t - 2)
giving x = 90t - 180
So equating these 2 equations
60t = 90t - 180
30t = 180
t = 6 hours
So x the distance = 60t = 360 miles answer
Hello from MrBillDoesMath!
Answer:
68
Discussion:
85% of 80 =
(85/100) * 80 = => as 85* 8 = (80 +5) * 8 = 640 + 40 = 680
6800/100 =
68
Thank you,
MrB
Answer:
52/63
Step-by-step explanation:
Given the expression;
4/7 * 13/9
WE are to take the product
= (4/9)* (13/7)
= (4*13)/(7*9)
= 52/63
Hence the required fraction is 52/63
