Answer:
y = x+3
Step-by-step explanation:
First step is to find the slope
m = ( y2-y1)/(x2-x1)
= ( 7-9)/(4 - 6)
= -2 / -2
= 1
The we can put is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 1x+b
Putting in one of the points
9 = 1*6+b
Subtracting 6
9-6 = b
3=b
y = 1x+3
y = x+3
Step-by-step explanation:
We are picking 6 numbers from the numbers 1,2,3,4,5,6,7,8,9,10. Since we care about numbers being next to each other, we might think of the 10 numbers as being distributed in 5 boxes (which you can think of as the holes):
| 1 2 | 3 4 | 5 6 | 7 8 | 9 10 |
So on the first box we have the numbers 1 and 2, on the second box we have the numbers 3 and 4, and so on. Since we are picking 6 numbers from those 10 numbers, that means we'll have to pick 6 boxes (and inside each box we pick a number), but we only have 5 available boxes, so by the pigeonhole principle, we'll have to pick 1 same box at least two times. Since on each picked box we'll need to pick a number, on this box which was picked two times, we will have to pick both of its numbers. And so those 2 numbers inside that box will be next to each other (meaning they're consecutive numbers).
Since the circumference is 80, you know that the equation used was:
Divide by pi and you'd get d = 25.465
Divide that by 2 to get your radius.
25.465 / 2 = 12.723 = r
The area formula for a circle is
So,
= 508.544 square feet
Answer:
BC = 8 and EF = 8.
Step-by-step explanation:
Since triangle ABC and DEF are congruent to each other, BC corresponds with EF (as determined by the triangle names).
Set BC and EF equal to each other.
x + 6 = 3x + 2
Subtract x from both sides.
6 = 2x + 2
Subtract 2 from both sides.
4 = 2x.
Divide 2 on both sides.
x = 2.
Substitute 2 for x.
BC = 2 + 6
BC = 8
Since we already know that EF is congruent to BC, EF is also 8.
EC = 3(2) + 2
EC = 6 + 2
EC = 8
Answer:
-3x+y should not change as it is parallel what should change is the result as you know x = 2 & y = 5 so the result is -3 × 2 + 5 = -1
