Hi there!
We can create an equation for the line PR using the given coordinates. Use the following formula for the slope:
Plug in the coordinates for P and R:
Find the equation by using point-slope form:
y - y1 = m(x - x1)
Plug in a coordinate and the slope:
y - (-5) = -4/3(x - ( - 1))
Simplify:
y + 5 = -4/3(x + 1)
To find the y-coordinate if x = 2, plug in the x value:
y + 5 = -4/3(2 + 1)
y + 5 = -4/3(3)
y + 5 = -4
y = -9
Thus, the coordinate is (2, -9)
Step-by-step explanation:
again, 2 unknowns.
x = number of 2- points baskets
y = number of 3- points baskets
we know they hit the basket 37 times in a so far unknown mixture of 2-point and 3- point throws.
x + y = 37
which gives us e.g.
x = 37 - y
and we know that with this unknown mixture they scored 80 points.
so,
2x + 3y = 80
as every successful 2-points throw scores 2 points, and every successful 3-points throw scores 3 points.
so, again our 2 equations :
x = 37 - y
2x + 3y = 80
remember, we prepared the first equation so that it gives us already an identity expressing one variable by the other. and that we use in the second equation :
2×(37 - y) + 3y = 80
74 - 2y + 3y = 80
74 + y = 80
y = 6
and from
x = 37 - y
we get
x = 37 - 6 = 31
so, they had 31 2-points throws and 6 3-points throws.
Answer:
x=-5, y=-8. (-5, -8).
Step-by-step explanation:
-x+2y=-11
5x-8y=39
---------------
5(-x+2y)=5(-11)
5x-8y=39
---------------------
-5x+10y=-55
5x-8y=39
--------------------
2y=-16
y=-16/2
y=-8
-x+2(-8)=-11
-x-16=-11
-x=-11+16
-x=5
x=-5
A=1/2bh
b=8+h
A=384
384=1/2(bh)
times 2
768=bh
sub
768=b(8+b)
768=8b+b^2
minus 768 both sides
0=b^2+8b-768
factor
0=(b-24)(b+32)
set to zero
b-24=0
b=24
b+32=0
minus 32
b=-32
false, legnths cannot be negative
b=24
24=8+h
minus 8
16=h
base=24ft
altetude=16ft
A. the first one is the answer
Step-by-step explanation:
