Distance = rate times time.
Let the first cyclist's rate be r1 and the 2nd cyclist's rate be r2.
Let r2 = r1 + 10 (km per hour).
The total distance between them after 3 hours is 174 km; using the distance= rate times time formula, we also get:
r1(3 hrs) + r2(3 hrs) = 174 km
Then
r1(3 hrs) + (r1+10)(3hrs) = 174 km
Then 3r1 + 3r1 + 30 = 174
6r1 = 144, and r1 = 24 km/hr. Then r2 = (24 + 10) km/hr = 34 km/hr.
Answer:
see explanation
Step-by-step explanation:
given
To rationalise multiply the numerator/denominator by the conjugate of the denominator
the conjugate of 3 + 7i is 3 - 7i, hence
distribute the numerator/denominator
=
[ note that i² = - 1 ]
=
=
= + i
= + i ← in standard form
Answer:
y-axis, x-axis, y-axis, x-axis
Step-by-step explanation:
Alright, so this problem looks a lot harder than it really is. When you flip a point across the x axis, y becomes negative, and when it is flipped across the y axis, x becomes negative. This means that if the x value changes signs it was flipped on the y axis, and vice versa.
The total area of the garden is 37.1 ft x 15 ft = 556.5 sq. ft. It is safe to assume that the area of each shrub is 15.9 sq. ft. The number of shrubs can be calculated by dividing the total area of the garden by the area of each shrub: 556.5 sq. ft. / 15.9 sq. ft. = 35 shrubs.
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