Answer:
60 minutes.
Step-by-step explanation:
Distance = Rate × Time
14 miles = 14mph × ?
Hence, time = 14 miles ÷ 14 mph = 1 hour
1 hour = 60 minutes.
He rode his bike for 60 minutes.
Answer:
add, subtract, multiply and divide complex numbers much as we would expect. We add and subtract
complex numbers by adding their real and imaginary parts:-
(a + bi)+(c + di)=(a + c)+(b + d)i,
(a + bi) − (c + di)=(a − c)+(b − d)i.
We can multiply complex numbers by expanding the brackets in the usual fashion and using i
2 = −1,
(a + bi) (c + di) = ac + bci + adi + bdi2 = (ac − bd)+(ad + bc)i,
and to divide complex numbers we note firstly that (c + di) (c − di) = c2 + d2 is real. So
a + bi
c + di = a + bi
c + di ×
c − di
c − di =
µac + bd
c2 + d2
¶
+
µbc − ad
c2 + d2
¶
i.
The number c−di which we just used, as relating to c+di, has a spec
Answer:
7 < y
Step-by-step explanation:
The relation you're interested in is ...
(4.5 -2y)/5 < (2 -3y)/10
9 -4y < 2 -3y . . . . . . . . . multiply by 10
7 < y . . . . . . . . . . . . . . . . add 4y-2
The value of the first fraction will be less than that of the second fraction for values of y greater than 7.
Answer:
Step-by-step explanation:
quadratic equation: ax² + bx + c =0
x' = [-b+√(b²-4ac)]/2a and x" = [-b-√(b²-4ac)]/2a
6 = x² – 10x ; x² - 10x -6 =0
(a=1, b= - 10 and c = - 6
x' = [10+√(10²+4(1)(-6)]/2(1) and x" = [10-√(10²+4(1)(-6)]/2(1)
x' =5+√31 and x' = 5-√31
Step-by-step explanation:
Since the triangles are right angled and are similar,
by Pythagoras theorem,
(10√3)^2 = (5√3)^2 + a^2
a = 15, a > 0
Topic: Pythagoras theorem
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