Answer:
The answer is
<h2>
</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
<h3>
</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(-4, 7) and S(5,3)
The midpoint is
<h3>
</h3>
We have the final answer as
<h3>
</h3>
Hope this helps you
Step-by-step explanation:
first, the other 2 angles in the triangle must be equal.
and they must both be complementary to 180 degrees for the 108 degree angle.
180 - 108 = 72 degrees.
so, we have 72, 72 and m degrees as degrees in the triangle.
the sum of all the angles in a triangle is always 180 degrees.
72 + 72 + m = 180
144 + m = 180
m = 36 degrees
Answer:
- <u><em>Mr. Mole's burrow lie 7 meters below the ground.</em></u>
Explanation:
The information given can be summarized as:
- Mr Mole's altitude relative to the ground, in meters: A = - 2.3t - 7
- Time, since Mr. Mole started digging, in minutes: t
<u>Interpetration of the terms in the model A = -2.3t - 7</u>
The equation A = -2.3t - 7 is a linear function, which consists of two terms:
- The term -2.3t indicates that the altitude of Mr Mole decreases by 2.3 meters every minute. This is, -2.3 is the slope of the line in the graph that represents the altitude.
- The constant term - 7 is the altitude at t = 0, because at t = 0 A = -2.3(0) - 7 = 0 - 7 = 0. This is, -7 is the intercept with the vertical axis in the graph that represents the altitude.
Thus, altitude at which <em>Mr. Mole's burrow lie</em> is the initial value given by the function, this is the altitude at t = 0, or the vertical intercept of the line; which, as just said is - 7. The negative sign tells that the value is below the ground (ground level is 0 meters). Then, <em>Mr. Mole's burrow lie 7 meters below the ground.</em>
Answer:
Yes
Step-by-step explanation:
The z-score corresponding to a number or score can be calculated using:
Where x stands for the individual scores, and
stands for the mean.
Since
for all numbers or scores below the mean, the difference will always be negative these values below the mean.
This will always result in a negative z-score for all numbers below the mean.
<u><em>Answer:</em></u>
i. The boat will travel 18.5 miles in one hour
ii. The boat will travel 9.25 miles in half an hour
iii. The boat will travel 27.75 miles in one and a half hours
<u><em>Explanation:</em></u>
We are given that the boat travel 37 miles in 2 hours
To get the miles traveled, we can simply use cross multiplication
<u>i. Miles traveled by the boat in one hour:</u>
37 miles .....................> 2 hours
x miles ........................> 1 hour
miles
<u>ii. Miles traveled in half an hour:</u>
37 miles .....................> 2 hours
x miles ........................> 0.5 hour
miles
<u>iii. Miles traveled in an hour and a half:</u>
37 miles .....................> 2 hours
x miles ........................> 1.5 hour
miles
Hope this helps :)
