The distance formula is: d = sqrt( (x2 - x1)2 + (y2 - y1)2 )
For this problem, let (-5, -4) be the "first" point, so x1 = -5 and y2 = -4
and let (-6, 4) be the "second" point, so x2 = -6 and y2 = 4.
Then: d = sqrt( (-6 - -5)2 + (4 - -4)2 ) = sqrt( (-1)2 + (8)2 ) = sqrt( 1 + 64 ) = sqrt( 65)
The distance formula is just the Pythagorean Theorem applied to an x-y graph.
You would get the same final answer if you let (-5, -4) be the second point and (-6, 4) be the first point.
Answer:
11a - 8b.
Step-by-step explanation:
7a + 4(a-2b)
= 7a + 4a - 8b
= 11a - 8b.
Answer:
<em>2(2W+12) < 560</em>
Step-by-step explanation:
Perimeter of a rectangular dog pen P = 2(L+W) where;
L is the length of the dog pen
W is the width of the dog pen
If Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width, then L = W+12
If Lyle can afford no more than 560 feet of fence, this means that the perimeter cannot be more than 560feet i.e P<560
The inequality to show that the perimeter of the dog pen can be no more than 560 feet is expressed as P < 2(L+W)
Substituting the given parameters;
2([W+12]+W)<560
2(2W+12)<560
<em>Hence the inequality to show that the perimeter of the dog pen can be no more than 560 feet is 2(2W+12)<560</em>
Answer:
Accroding to the question my guess for the answer would be 10
Step-by-step explanation:
I solved it like this
1000-900
= 100
=1000/100
=10
<h3>Steps for solving:</h3><h3 />
1. First you want to simplify the left side by distributing the 7 through both of your terms inside the set of parentheses.
2. This leaves us with 7c + 28 - 19 = -26
3. We can simplify one step further on the left side
by subtracting 28 - 19 to get 9.
4. So we have 7c + 9 = -26.
5. Now subtract 5 from both sides to get 7c = -35.
6. Finish things off by dividing both sides by 7 and we find that c = -5
