Add 0.1 to 0.0(54) to get 0.1(54).
The solution of the equation x2+7x is 0, -7 using the quadratic formula.
Step-by-step explanation:
x2 + 7x = 0
-b ± √
b2 - 4(ac)/ 2a
substitution,
a = 1, b = 7, c = 0
= -7 ± √(7)2 - 4(1 x 0) / 2 x 1
= - 7
± 7 / 2
x = 0 , -7
Answer:
y = 4.125x + 496.25
Step-by-step explanation:
Set the data up as points. Then deal with the points.
Givens
(30,620)
(70,785)
y2 = 785
y1 = 620
x2 = 70
x1 = 30
Formula
Slope = (y2 - y1) / (x2 - x1)
Solution
Slope = (785 - 620)/(70 - 30)
Slope = 165 / 40
Slope = 4.125
===================
Now you need the y intercept. Either one of the two given points will give you that.
y = 620
x = 30
m = 4.125
y = mx + b
620 = 4.125*30 + b
620 = 123.75 + b
620 - 123.75 + b
b = 496.25
Answer:
The tip of the minute hand travels 20.9 inches.
Step-by-step explanation:
We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.
<u>So, firstly we will find the circumference of circle;</u>
Circumference of circle (C) =
{where r is radius of circle}
=
{given r = 8 inches long}
=
Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents
which is
of the circumference, that means;
The length of arc from time 12:00 to 12:25 =
=
=
= 6.67
Now, assuming value of
= 3.14; so 6.67
=
= 20.9 inches (in nearest tenth)
Hence, the tip of the minute hand travels 20.9 inches.