Answer:
Dependent
Step-by-step explanation:
and 
Lets solve the second equation for y and then substitute it in first equation
Subtract 6x on both sides
Divide by 2 on both sides
Now we plug it in first equation for y
Add 3x on both sides
Both sides are same, they are equal. the system has infinite solutions.
They are said to be dependent
1. Slope intercept form is y=mx+b, where m is slope and b is y-intercept.
It gave you point (8,12) and slope of -2.
So you already know the value of m, so so far it's y = -2x + b.
Plug the coordinates as x and y: 8 for x and 12 for y.
12 = -2(8) + b
12 = -16 + b
28 = b
Adding b in, you get y = -2x + 28
2. Find the slope, then use point-slope form.
Slope is change in y over change in x, or (y2-y1)/(x2-x1).
m = (9-1)/(2-3) = 8/(-1) = -8
Point slope form: y - y1 = m(x - x1)
y - y1 = -8(x - x1)
Now plug in either of the coordinates as x1 and y1, let's do (3,1).
y - 1 = -8(x - 3)
y - 1 = -8x + 24
y = -8x + 25
3. Do it the same way as number 2. Choose two points, for example (1,1) and (2,-2). You find m = -3 and get final answer as y=-3x + 4.
4. B = 150 + 80d
B is account balance, d is number of monthly deposits.
If you rearrange the terms: B = 80d + 150, you see that that is in slope-intercept form y = mx+b, and if you remember from #1 m is the slope. In this case, the variables are changed, so d is the slope here. And the question told you that d, the slope, is the number of monthly deposits. Its coefficient is 80, so Bianca deposits $80/month.
<span>5. </span>
14a + 16b = 560
16b = 560 - 14a
b = (560 - 14a)/16
b = 560/16 - 14a/16
b = 35 - (7/8)a
<span>b = -(7/8)a + 35</span>
Answer:
The expression that represents the PS is 7x – 7 .
if I am right mark the answer as brainliest
Yes because a half of 5 is two and five tenths.
Translation is the transformation that preserves parallel lines. This means that if segments MN and OP were parallel, the segments M'N' and O'P' will be parallel too. As it is known parallel lines do not intersect, then options A and C are false.
Translation 2 units to the left has rule:
(x,y)→(x-2,y).
Then points
- M(2,2)→M'(0,2);
- N(5,2)→N'(3,2);
- O(2,1)→O'(0,1);
- P(5,1)→P'(3,1).
The distance between segments MN and OP is 1 unit, the distance between segments M'N' and O'P' is 1 unit too.
Answer: correct option is B.
