Answer:
4
Step-by-step explanation:
There are 4 ways to ignore one of the points. The other 3 can be connected to form a triangle.
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More formally, the number of ways that 4 items can be chosen 3 at a time is given by ...
... C(4, 3) = 4!/(3!(4-3)!) = 4/1 = 4
<span>I think you meant 6x²+13x-5 so first thing we have to do is factor it which is really quite tricky with this kind of trinomial so first take ac which is 6 times -5 so -30 now figure out factors of -30 that will add up to 13 how about 15 and -2 now that we have the factors write the equation again</span>
<span /><span> 6x²+15x-2x-5 </span>split the equation in half<span />
<span>6x²+15x -2x-5 so out of the first equation we can pull a 3x out</span>
<span>3x(2x+5) and out of the second we can pull a negative 1</span>
<span>3x(2x+5) -1(2x+5) rewrite it</span>
<span>(3x-1)(2x+5) so the 3x-1 is the factor we already had so the other side is (2x+5)</span>
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<span><u>HOPE THIS HELPS!!!</u></span>
Question..
Combine like terms to create an equivalent expression.
½ −⅙q +⅚q - ⅓
Answer:
½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙
Step-by-step explanation:
Given
½ −⅙q +⅚q - ⅓
Required
Equivalence
½ −⅙q +⅚q - ⅓
We start by collecting like terms.
⅚q - ⅙q + ½ - ⅓
Factorize
(⅚ - ⅙)q + ½ - ⅓
((5 - 1)/6)q + ½ - ⅓
(4/6)q + ½ - ⅓
Reduce 4/6 to lowest term
⅔q + ½ - ⅓
Evaluate fraction
⅔q + (3 - 2)/6
⅔q + ⅙
Hence, ½ −⅙q +⅚q - ⅓ is equivalent to ⅔q + ⅙
Make the numerator be the sum of a multiple of the denominator and a remainder...
30/8 is equal to:
(24+6)/8 is equal to
24/8+6/8
3+6/8
3 3/4
Percent Change = New Value − Old Value|Old Value| × 100%
Example: There were 200 customers yesterday, and 240 today:
240 − 200|200|× 100% = 40200 × 100% = 20%
A 20% increase.
Percent Error = |Approximate Value − Exact Value||Exact Value| × 100%
Example: I thought 70 people would turn up to the concert, but in fact 80 did!
|70 − 80||80| × 100% = 1080 × 100% = 12.5%
I was in error by 12.5%
(Without using the absolute value, the error is −12.5%, meaning I under-estimated the value)
The difference between the two is that one states factual calculations and the other is a theoretical guess
