Answer:
Slower speed = 9 mph
Step-by-step explanation:
Let the initial speed (slower speed) = s mph
Speed 's' = 
s = 
-------(1)
If the cyclist increases the speed by 3 mph then the final speed = (s + 3) mph
He can reduce the time 't' by 10 minutes (
hours)
Now, (s + 3) = 
s + 3 = 
--------(2)
Substitute the value of 's' from equation (1) to the equation (2).
6t² - t = 2
6t² - t - 2 = 0
6t² - 4t + 3t - 2 = 0
2t(3t - 2) + 1(3t - 2) = 0
(2t + 1)(3t - 2) = 0
t = 
hours
But the time can't be negative.
Therefore, t = 
hours is the answer.
From equation (1),
s = 
s = 9 miles per hour.
Slower speed = 9 mph is the answer.
Answer:
Angle Z wil change because the side length is getting longer and tbe triangle would no longer fit the conditions
Answer:
force = 21 kg m/s^2 = 21 N
Step-by-step explanation:
If an object has mass (m) 3 kg, and its acceleration (a) is 7 m/s^2, its force is given by Newton's second law of motion: Force = M * a
Force = 3 kg * 7 m/s^2= 21 kg * m/s^2
This combinations of units (kg * m/s^2) is defined as Newtons in physics and abbreviated "N".
So we can say that the force on this object is of magnitude 21 N
<u>Given</u>:
The given triangle is a right triangle.
The length of the hypotenuse is 31 units.
The length of the leg is 23 units.
One of the angle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
Substituting 
, the side opposite to the angle x measures 23 units and the hypotenuse is 31.
Thus, we have;
Dividing, we get;
Taking 
on both sides of the equation, we get;
Rounding off to the nearest whole integer, we get;
Thus, the value of x is 48°
Hence, Option c is the correct answer.
Answer:
C) y=x^2+x-6
Step-by-step explanation:
Looking at the first picture, the equation is way too high, thus A is incorrect
Looking at the second picture, the equation is also too high, thus B is incorrect
Looking at the third picture, the equation is at the graph, thus C is correct
Looking at the fourth picture, the equation is more at the right than at the left thus the equation is incorrect
Hope this helps!
