6 shirts and 8 sweater cost $152
or
5 shirts and 7 sweaters cost $132
$152 - $132 = $ 20 that was taken away from both things being gone (1 sweater and one shirt)
The answer could be that a shirt costs $10 and a sweater cost $10 or it could mean the shirt cost $9 and the sweater costs $11 or it could swap and be the shirt costs $11 and the sweater costs $9. Or the shirt costs $1 and the sweater costs $19 or A shirt costs $3.50 and the Sweater costs $16.50.
Answer: I believe 138
Step-by-step explanation:
The orthocenter is the point where the three altitudes meet.
sketch the graph and you will see that AB is a horizontal line, the altitude is a vertical line through the point (1,3), so the equation of this altitude is x=1
next, find another altitude. I'll use the altitude of BC.
the slope of BC is (6-3)/(4-1)=1, so the slope of the altitude, which is perpendicular to BC going through the point A (0,6), is -1, the equation of the altitude of BC is y=-x+6
the system of equation : x=1
y=-x+6
has a solution (1, 5)
the solution is where the two lines meet, the meeting point is the orthocenter.
Double check by find the equation for other altitude:
slope of AC: (3-6)/(1-0)=-3
slope of altitude of AC: 1/3
equation of altitude of AC: y=(1/3)x+b
the altitude of AC goes through point B (4,6), so we can find out b by plug x=4, y=6 in the equation: 6=(1/3)*4+b, b=14/3
y=(1/3)x+14/3
Is (1,5) also a solution to this equation? Plug x=1 in the equation, we get y=5, so yes, (1,5) is a point on the third altitude.
Y = mx + b
slope(m) = -4
(-2,5)....x = -2 and y = 5
now we sub into the formula and find b, the y int
5 = -4(-2) + b
5 = 8 + b
5 - 8 = b
-3 = b
so ur equation is : y = -4x - 3 <==
The vertex is (2, -3).
Use the formula x= -b/2a to find the x value., which is 2.Then, substitute it into the function, wherever you see an x. Follow order operations and you get y, which is -3.
