Answer: x= 6/35
Explanation
P1=(0,0)=(x1,y1)→x1=0, y1=0
P2=(3,-2)=(x2,y2)→x2=3, y2=-2
Slope: m=(y2-y1)/(x2-x1)
m=(-2-0)/(3-0)
m=(-2)/3
m=-2/3
Point-slope equation:
y-y1=m(x-x1)
y-0=(-2/3)(x-0)
y=-(2/3)x
Answer: The equation of the line is: y=-(2/3)x
Answer:
x=4
Step-by-step explanation:
To solve for x, use inverse operations:
-8x+3 = -29 Subtract 3 from both sides
-8x +3 -3 = -29 -3
-8x = -32 Divide both sides by -8
x = 4
Answer:
12 pounds
Step-by-step explanation:
We we need to write equations to represent the situation in this problem.
x=weight of package
UPS cost=6+1+0.15(x-2)
UPS cost=6+1+0.15x-0.3
UPS cost=6.7+0.15x
FedEx cost=4+2+.25(x-2)
FedEx cost=4+2+0.25x-0.5
FedEx cost=5.5+0.25x
Next, we can set the two equations equal to each other to solve for x.
6.7+0.15x=5.5+0.25x
6.7+0.15x-5.5=5.5+0.25x-5.5
1.2+0.15x-0.15x=0.25x-0.15x
1.2/0.1=0.1x/0.1
x=12
It takes 12 pounds for the UPS and FedEx packages to cost the same amount to ship.
In order to calculate the area of a triangular prism, You can use the formula,
Area = 1/2 * a * c * h
Hope this helps!
