Answer:et
m = the age of Maggie
b = the age of her brother
Maggie's brother is 3 years younger than twice her age:
b = 2m - 3
The sum of their ages is 24:
m + b = 24
by solving the system of equations:
b = 2m - 3
m + b = 24
we find
b = 15 years
m = 9 years
Step-by-step explanation:
Emotions because they make you want to make decisions that you wouldn’t make normally
Answer:
Option C.
Step-by-step explanation:
<u>Asymptotes Of A Rational Function</u>
We can easily recognize if x=a is a vertical asymptote of a given function f(x) because its graph tends to quickly increase or decrease getting closer to the vertical line x=a but never actually touching it.
We can see in the graph provided, there are two vertical lines, one at x=0 and the other at x=3 (assuming the x-scale is 2). It means the denominator tends to zero at both of those values, i.e. there must be factors like (x-0)(x-3)=x(x-3). The only option with these characteristics is the last one
<span>Orthocenter is at (-3,3)
The orthocenter of a triangle is the intersection of the three heights of the triangle (a line passing through a vertex of the triangle that's perpendicular to the opposite side from the vertex. Those 3 lines should intersect at the same point and that point may be either inside or outside of the triangle. So, let's calculate the 3 lines (we could get by with just 2 of them, but the 3rd line acts as a nice cross check to make certain we didn't do any mistakes.)
Slope XY = (3 - 3)/(-3 - 1) = 0/-4 = 0
Ick. XY is a completely horizontal line and it's perpendicular will be a complete vertical line with a slope of infinity. But that's enough to tell us that the orthocenter will have the same x-coordinate value as vertex Z which is -3.
Slope XZ = (3 - 0)/(-3 - (-3)) = 3/0
Another ick. This slope is completely vertical. So the perpendicular will be complete horizontal with a slope of 0 and will have the same y-coordinate value as vertex Y which is 3.
So the orthocenter is at (-3,3).</span>
Answer:
it can be 1/3, 1/7, 2/7, 3/7, 1/5, 2/5, 1/13, 2/13, 3/13, 4/13, etc
