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:
is there a pic of sum sort lol
Step-by-step explanation:
let's bear in mind that Y is a bisecting point, so it's really cutting XZ into two equal halves.
![\bf \underset{\textit{\Large 18x-6}}{\boxed{X}\stackrel{12x}{\rule[0.35em]{14em}{0.25pt}} Y\stackrel{12x}{\rule[0.35em]{14em}{0.25pt}}\boxed{Z}} \\\\\\ 12x+12x = 18x-6\implies 24x=18x-6 \\\\\\ 6x=-6\implies x=\cfrac{-6}{6}\implies x=-1](https://tex.z-dn.net/?f=%5Cbf%20%5Cunderset%7B%5Ctextit%7B%5CLarge%2018x-6%7D%7D%7B%5Cboxed%7BX%7D%5Cstackrel%7B12x%7D%7B%5Crule%5B0.35em%5D%7B14em%7D%7B0.25pt%7D%7D%20Y%5Cstackrel%7B12x%7D%7B%5Crule%5B0.35em%5D%7B14em%7D%7B0.25pt%7D%7D%5Cboxed%7BZ%7D%7D%20%5C%5C%5C%5C%5C%5C%2012x%2B12x%20%3D%2018x-6%5Cimplies%2024x%3D18x-6%20%5C%5C%5C%5C%5C%5C%206x%3D-6%5Cimplies%20x%3D%5Ccfrac%7B-6%7D%7B6%7D%5Cimplies%20x%3D-1)
Answer:
B; (2,-4)
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
So from the question, when we look at the given equation, its slope is -1/2
mathematically, when two lines are perpendicular, the product of their slopes is -1
thus;
m1 * m2 = -1
m2 * -1/2 = -1
-m2 = -2
m2 = 2
The general equation form is;
y-y1 = m(x-x1)
where (x1,y1) = (4,0)
y-0 = 2(x-4)
y = 2x - 8
So, now we look at the point that will work for this equation
For the line that will work, if we substitute its x-value, we get the y-value
Let us take a look at option B
y = 2(2) -8 = 4-8 = -4
we can see that (2,-4) works
5 times
the lcm of 3 and 4 is 12
1 minute = 60 seconds
60 divided by 12 is 5
