One way to write a line is y=mx+b, where b is a number, m is the slope of the line, and y and x are variables that you can plug numbers into. We know that we have two points, (0,5) and (10,0). To find the slope of a line, we can use the equation
Plugging this in for our points, we get
as our slope (we get -1/2 by dividing both -5 and 10 by 5 from the previous fraction), making our equation y=(-1/2)x+b. Plugging a point in to find out what b is, we get 0=(-1/2)10+b=-5+b. Adding 5 to both sides to separate the b, we get 5=b, making our equation y=(-1/2)x+5. To find out what x is for (x,2), since the y value comes second, we can plug in 2 into our equation to get 2=(-1/2)x+5. Since we want to solve for x, we have to separate it. Subtracting 5 from both sides, we get -3=(-1/2)x. Since we can multiply -1/2 by its reciprocal (switching the numerator and denominator) to get 1 (and therefore x on the right sides as 1*x=x), we multiply both sides by -2 to get 6=x, making the point (6,2)
Feel free to ask further questions!
Answer:
Step-by-step explanation:
Total cake shared=1/2
Pete share=x
Bill= twice as much as Pete
=2x
Pete's share+ Bill's share=total share
x+2x=1/2
3x=1/2
x=1/2÷3
x=1/2×1/3
=1/6
Pete's share=x=1/6
Bill's share=2x
=2(1/6)
=2/6
=1/3
Answer:
103°
Step-by-step explanation:
The total angle in a nonagon is 1260. To get the missing angle, we add up all the given angle together and subtract it from 1260.
138 + 154º + 145° + 132° + 148° + 143 + 147 + 150 = 1157
1260 - 1157 = 103
Therefore, the missing angle is 103°
Answer:
The correct option is a.
Step-by-step explanation:
The average cost function is
Where x is the number of calendars produced.
The average cost formula is
Therefore the total cost is defined b the function
Here 600 is the initial cost and the cost each unit is 2.
Initial cost is the fixed cost which occurs at zero level of productivity.
The company spends $600 on a new computer and printer before beginning the project. The option (a) is correct.
x^2+6x-5=0
x^2=2x
2x+6x-5=0
2x+6x=8x
8x-5=0
+5 +5
(if you don’t know what I’m doing here is that I’m removing the negative 5 by putting a positive 5 since both of them make 0. Also the “x” always stay alone and the unit stays as the unit)
(I putted the positive under the 0 because what u do to the unit you need to do the same thing with the other.)
8x/8=5/8
(If ur lost here it means dividing.)
The answer
X=0.625
(btw I’m not really sure if this is right so um don’t really trust me in this lol)
