Answer:
1. $2
2. $4
3. 2x
Step-by-step explanation:
That's point-slope form:
y - y1 = m(x - x1)
Where y1 is the y-value of a point on the line, x1 is the x-value, and 'm' is the slope.
So let's find out what goes in the first blank.
As we can see, they replaced 'x1' with -1, and one of our points have an x-value of -1, that point is (-1, -2), this means y2 must be -2:
y + 2 = m(x + 1)
Now let's find the slope between the two points.
m = y2-y1/x2-x1
m = (10+2)/(3+1)
m = 12/4
m = 3
So the slope is 3, plug that in:
y + 2 = 3(x + 1)
Answer:
The solution is (-5, -2).
Step-by-step explanation:
We'll use "elimination by addition and subtraction."
Multiply the second row by -2. Our system
– 7x – 10y = 45
-3x - 5y = 25
becomes:
– 7x – 10y = 45
+6x + 10 y = -50
-------------------------
-x = 5, so that x = -5.
Substituting -5 for x in the second equation results in
-3(-5) - 5y = 25, or 15 - 5y = 25. This reduces to
-5y = 10, so that y must be -2.
The solution is (-5, -2).
Answer:
y is 70° and x is 40 °
Step-by-step explanation:
the triangle has two equal sides as shown on the diagram...so the next angle to 110° which is 70° is equal to y....then by calculation y + x should give us 110° so if y is 70 then x is 40.
This is a multiplication equation. So to solve for y, we must divide.
6.3/0.9 = 7
y = 7