What does it mean for points to be colinear?

Mathematics

2 answers:

lina2011 [118]2 years ago

6 0

Three or more point lie on a single straight mine.

tia_tia [17]2 years ago

4 0

Answer:

Three or more points that lie on the same line are collinear points .

Step-by-step explanation:

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one number is four times as large as another if the numbers are added together the result is six less than seven times the small

liubo4ka [24]

Answer:

The numbers are 12 and 3.

Step-by-step explanation:

We can solve this problem by working with the information we have and setting up some equations.

We know that one number is four times as large as another. So, let the smaller number be represented by the variable x and the bigger number be represented by 4x, since it is four times as large.

Now, we know that if the numbers are added together, then the result is six less than seven times the smaller number. This can also be represented by the equation 4x + x = 7x - 6.

Let's solve that equation like so:

$4x + x = 7x - 6\\5x = 7x - 6\\-2x = -6\\x = 3$

So, the smaller number must be 3 (remember that x represented the smaller number). To find the bigger number, all we need to do is multiply 3 by 4, which gives us 12. Therefore, the numbers are 12 and 3.

4 0

3 years ago

Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partia

omeli [17]

$a_n=48+3(2n-1)$

The formula of the sum of the arithmetic sequence:
$S_n=\dfrac{a_1+a__n}{2}\cdot n$
calculate:
$a_1=48+3(2\cdot1-1)=48+3=51$
substitute
$S_n=\dfrac{51+48+3(2n-1)}{2}\cdot n=\dfrac{99+6n-3}{2}\cdot n=\dfrac{96+6n}{2}\cdot n=3n^2+48n$
Your answer is:
$\boxed{f(x)=3x^2+48x}$

5 0

3 years ago

Read 2 more answers

The equation of the line of best fit of a scatter plot is y = 12x + 7. What is the slope of the equation? −12 −7 12 7

BabaBlast [244]

Well,

Slope-intercept form is given as follows:
y = mx + b

In this equation, "m" is the slope, and "b" is the y-intercept.

y = 12x + 7

We can clearly see that the 12 in the equation is the "m" in the general slope-intercept form.

Therefore, the slope of the equation is 12.

6 0

3 years ago

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On the right side, give a reason to justify each step made on the left

cestrela7 [59]

Given that: step 1