Answer:
i gave you the slope and if its a function
Step-by-step explanation:
it a function
Slope (m) = ΔYΔX= 0
θ = arctan( ΔY )ΔX= 0°
ΔX = 10 – -2 = 12
ΔY = 3 – 3 = 0
Distance (d) = √ΔX2 + ΔY2 = √144 = 12
Equation of the line:
y = 0x + 3
When x=0, y = 3
Answer:
10 feet.
Step-by-step explanation:
First time: 160/2=80.
Second time: 80/2=40.
Third time: 40/2=20.
Fourth time: 20/2=10.
Boom.
A. w= -22 so A has a negative solution.
D doesn't have a variable so I'm not sure about it (did you type it correctly?), but because only one side of the equation has a negative number, I'm guessing D is also a negative solution
18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.
<u>Step-by-step explanation:</u>
Let x = kg of 15% copper alloy
Let y = kg of 60% copper alloy
Since we need to create 90 kg of alloy we know:
x + y = 90
51% of 90 kg = 45.9 kg of copper
So we're interested in creating 45.9 kg of copper
We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:
0.15x + 0.60y = 45.9
but
x + y = 90
x= 90 - y
substituting that value in for x
0.15(90 - y) + 0.60y = 45.9
13.5 - 0.15y + 0.60y = 45.9
0.45y = 32.4
y = 72
Substituting this y value to solve for x gives:
x + y = 90
x= 90-72
x=18
Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.
