Answer:
y - 1 = 2/3(x - 1).
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
y = 2/3x + 1/3 which gives the slope m = 2/3.
We can now find a point on the line by putting x = 1 say then find y:
y = 2/3(1) + 1/3 = 2/3 + 1/3 = 1 so the point is (1, 1).
(x1, y1) = (1, 1)
So the answer is ;
y - 1 = 2/3(x - 1).
Let's start by solving the first equation.
a) -3 = 7 + 2t/3
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8
Now let's move on to the next equation.
b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21
Now, lets subtract 14x from both sides of the equation.
6x - 8 = 21
Next, let's add 8 to both sides of the equation.
6x = 29
And divide both sides by the coefficient of x, which is 6.
x = 29/6 or 4 5/6
Now for the last equation.
C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9
Hope this helps! :)
Answer:
402 seconds
Step-by-step explanation:
Answer:
Should be B
Step-by-step explanation:
