Answer:
Let's factor x2+3x−18
x2+3x−18
The middle number is 3 and the last number is -18.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 3
Multiply together to get -18
Can you think of the two numbers?
Try -3 and 6:
-3+6 = 3
-3*6 = -18
Fill in the blanks in
(x+_)(x+_)
with -3 and 6 to get...
(x-3)(x+6)
Answer:
(x−3)(x+6)
Step-by-step explanation:
Answer:
Answer: The mean increases by 3
Step-by-step explanation:
The original data set is
{50, 76, 78, 79, 79, 80, 81, 82, 82, 83}
The outlier is 50 because it is not near the group of values from 76 to 83 which is where the main cluster is.
The original mean is M = (50+76+78+79+79+80+81+82+82+83)/10 = 77
If we take out the outlier 50, the new mean is N = (76+78+79+79+80+81+82+82+83)/9 = 80
So in summary so far
old mean = M = 77
new mean = N = 80
The difference in values is N-M = 80-77 = 3
So that's why the mean increases by 3
The value of diameter for the given triangle inscribed in a circle will be 22.
<h3>What is a circle?</h3>
A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circular objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
As per the given triangle inscribed a circle.
The length x +2 and 2x - 7 will be the radius of the circle and the sides of the triangle will be the tangent of the circle.
x + 2 = 2x - 7
2 = 2x - x - 7
x = 9
Thus, radius = 9 + 2 = 11
Diameter = 11 x 2 = 22 units.
Hence "The value of diameter for the given triangle inscribed in a circle will be 22".
To learn more about the circle,
brainly.com/question/266951
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The speed of the airplane = 2951 / 6.5 = 454 mph
0.593 x 10^-4
Explanation: