Answer:
y=x+5
Step-by-step explanation:
y-y1=m(x-x1)
y=-x+2
slope of y=-x+2 is -1, perpendicular slope is 1
y-3.5=1(x-(-1.5))
y-3.5=x+1.5
y=x+5
Answer:
42 gallons 45% antifreeze
28 gallons 95% antifreeze
Step-by-step explanation:
If x is volume of 45% antifreeze, and y is volume of 95% antifreeze, then the total volume is:
x + y = 70
And the total amount of antifreeze is:
0.45 x + 0.95 y = 0.65 (70)
Solving by substitution:
0.45 x + 0.95 (70 − x) = 0.65 (70)
0.45 x + 66.5 − 0.95 x = 45.5
21 = 0.5 x
x = 42
y = 28
Answer:
E(-1,3) F(3,-2) G(6,2)
Step-by-step explanation:
It's just simple addition and subtraction. The x-coordinate would add 2 since it is going to the right, which is positive. The y-coordinate would subtract 3 since going down be negative.
The third one. The one that goes down but doesn't reach the bottom
Answer:
The standard form of the equation is -3x + y = -19
Step-by-step explanation:
To find the standard form, we first need to note that the slope will be 3 since parallel lines have the same slope. Then we can use point-slope form and manipulate into standard form.
y - y1 = m(x - x1)
y - 5 = 3(x - 8)
y - 5 = 3x - 24
-3x + y - 5 = -24
-3x + y = -19