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3 years ago

Which of the following points is not collinear with (3, 6) and (-2, -9)?

Mathematics

2 answers:

Radda [10]3 years ago

8 0

Answer:

B: (0, -4)

Step-by-step explanation:

Three points are collinear if they lie on a single straight line. As we know two points of the line, there is a unique line that passes through both of them.

Let's find the equation of the line:

The general equation of a line is y = mx + b, where m represents the slope and b is the y-intercept.

In this case, we know that

$\left \{ {{6 = m*3 + b} \atop {-9 = m*(-2) + b}} \right. \\$

because we want the line to passes through (3, 6) and (-2, -9)

From the first equation, we deduce that $b = 6 - m*3$

We replace this in the second one and we get

$-9 = (-2)*m + 6 - 3*m\\ -15 = (-5)*m$

3 = m

With this, b = 6 - 3*m = 6 - 3*3 = -3

b = -3

So, the equation of the line that passes through (3, 6) and (-2, -9) is

$\fbox {y = 3x - 3}$

Knowing these, let's see which one of A, B, C or D makes the equation false, i.e. doesn't lie on the line and therefore is not collinear with (3, 6) and (-2, -9). For that, in each case, we have to replace the x of the equation with the first number of the pair and see if it equals the second one.

A: 3*(-1) - 3 = -3 -3 = -6. Correct!

B: 3*0 - 3 = 0 - 3 = -3. Wrong!

C: 3*3 - 3 = 9 - 3 = 6. Correct!

D: 3*0 - 3 = 0 - 3 = -3. Correct!

Therefore, B is not collinear with (3, 6) and (-2, -9)

Lilit [14]3 years ago

5 0

Its B, cause it’s collinear

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Please Help I will mark Brainliest or whatever Match each function formula with the corresponding transformation of the parent f

gladu [14]

Answer:

1 -> D

2 -> C

3. -> F

4. -> E

5. -> A

6. -> B

Step-by-step explanation:

Match each function formula with the corresponding transformation of the parent function y = (x - 1)∧2

1. y = ( x - 1) 2 - 3 A. Reflected over the y-axis

2. y = - ( x - 1) 2 B. Translated up by 1 unit

3. y = ( x + 3) 2 C. Reflected over the x-axis

4. y = ( x - 2) 2 D. Translated down by 3 units

5. y = ( x + 1) 2 E. Translated right by 1 unit

6. y = ( x - 1) 2 + 1 F. Translated left by 4 units

Using the standard transformation rules

f(x) -> a*g(bx-h) + k, we can obtain the following results

Answers:

1 -> D

2 -> C

3. -> F

4. -> E

5. -> A

6. -> B

4 0

3 years ago

Is this or is this not a function?

never [62]

Answer:

This is not a function

Step-by-step explanation:

Assuming that the line in question is parallel with the y axis, by using the line test we can see that the line is not a function. The line test is where you draw straight lines going vertically over the graph and if the lines touch the figure in question more than once that means it's not a function.

This can also be proved by imagining there are 2 different points on the line in question. Since the line is straight vertically that means that the points will share the same x value for different y values, which makes it not a function

5 0

11 months ago

Read 2 more answers

Find the inverse of the function x2 + y2 = 4 and the domain of the inverse for 0 ≤ x ≤ 2.

alexandr402 [8]

To get the inverse "relation" of an expression, we first off, do a quick switcharoo of the variables, and then solve for "y", so let's proceed,

$\bf x^2+y^2=4\qquad inverse\implies \boxed{y}^2+\boxed{x}^2=4
\\\\\\
y^2=4-x^2\implies y=\pm\sqrt{4-x^2}$

and yes, the domain for the range 0 ⩽ x ⩽ 2, let's get instead the "range" of the original function,

 $\bf x^2+y^2=4\implies 0^2+y^2=4\implies y=\pm\sqrt{4}\implies \boxed{y=\pm 2}
\\\\\\
x^2+y^2=4\implies 2^2+y^2=4\implies 4+y^2=4\implies \boxed{y=0}\\\\
-------------------------------\\\\
\stackrel{\textit{range of original}}{-2\le y \le 2}~~=~~\stackrel{\textit{domain of its inverse}}{-2\le x \le 2}$

8 0

3 years ago

The ordered pair (22, -45) is located in which quadrant of a coordinate plane?

Sergeu [11.5K]

Answer:

where is the graph

Step-by-step explanation:

3 0

2 years ago

Can you help with this please and also explain?

stira [4]

Answer:

avocado=4

Step-by-step explanation:

Hi there!

We are given the following equations:

snail + snail - cellphone=avocado

maple leaf * cellphone=10

0+maple leaf=5

snail = cellphone + 1

avocado=?

This may seem confusing at first, but let's try to find the value of one of the items to help us to solve for the others

For example, we have the equation 0 + maple leaf= 5

Which means if we subtract 0 from both sides, we should get the value of the maple leaf

Which means that the maple leaf= 5

Now we know that maple leaf * cellphone = 10

So that means 5*cellphone=10

Divide by 5 on both sides

cellphone= 2

We know that snail = cellphone + 1

As we learned from above, cellphone= 2

Which means that snail = 2+1=3

We know that snail + snail - cellphone = avocado

And as calculated from above, snail = 3 and cellphone = 2

Which means:

3 + 3 - 2= avocado

Add

6-2=avocado

Subtract

4=avocado

Hope this helps!

5 0

3 years ago