Answer:
a. square root of 5
b. square root of 13
c. 9
d. 13
Step-by-step explanation:
Answer:
The roots of the equation are x =
and x = 
and there are no real roots of the equation given above
Step-by-step explanation:
To solve:
5x² − 3x + 17 = 9
or
⇒ 5x² − 3x + 17 - 9 = 0
or
⇒ 5x² − 3x + 8 = 0
Now,
the roots of the equation in the form ax² + bx + c = 0 is given as:
x = 
in the above given equation
a = 5
b = -3
c = 8
therefore,
x = 
or
x = 
or
x =
and x = 
or
x =
and x = 
here i = √(-1)
Hence,
The roots of the equation are x =
and x = 
and there are no real roots of the equation given above
Answer:
-39
Step-by-step explanation:
The general term of an arithmetic sequence is ...
an = a1 +d(n -1)
This sequence has first term a1=9 and common difference d=(7.5-9) = -1.5. Then the 33rd term is ...
a33 = 9 -1.5(33 -1) = 9 -48 = -39
The 33rd term is -39.
Speed = Distance/Time. Let speed be V, distance D and time T
a)Given: D₁ =45km, V₁=x km/h
V₁=D₁/T
V₁=45/T OR T= 45/V₁
b) Given : D₂ =48 km and V₂ = V₁ + 4 km/h
V₂ = 48/T, but V₂ = V₁+4, then:
V₁+4 = 48/T OR T=48/(V₁+4). Since Time is same, then we can write:
45/V₁ =48/(V₁+4), solve for V₁:
45V₁ + 180 = 48V₁
3V₁ =180 and V₁ = x = 60 km/h