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3 years ago

If four points are collinear are they coplanar

Mathematics

1 answer:

kap26 [50]3 years ago

6 0

It is False , because they could be in a common plane but they do not form a single line

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Rectangle PQRS is dilated by a scale factor of 2 (k=2) with the origin as the center. What are the coordinates of R('?

Radda [10]

Answer:

Correct Answer: (8,2)

Step-by-step explanation:

<u>Dilation about the origin</u>

Most dilations in the coordinate plane use the origin, (0,0), as the center of the dilation.

In such cases, every point (x,y) dilated by a factor of k is mapped to the point (kx,ky).

The point R=(4,1) is dilated by a scale factor of 2 (k=2), thus the coordinates of its image are (2*4,2*1) = (8,2)

4 0

3 years ago

HELP URGENT STEP FUNCTIONS!!!!!!! Used books cost $2.25 each. Which expression represents the total number of books that can be

irinina [24]

Answer:

A. $\left \lfloor \frac{10}{2.25} \right \rfloor$

Step-by-step explanation:

We are given,

The cost of one book = $2.25

Since, it takes $2.25 to buy 1 book.

The, for $10, we can get $\frac{1}{2.25}\times 10$ i.e. $\frac{10}{2.25}$ = 4.44

Since, number of books cannot be in decimals.

So, the closest integer to 4.44 is 4.

Hence, we can buy 4 books from $10.

Now, according to the options:

A. $\left \lfloor \frac{10}{2.25} \right \rfloor = \left \lfloor 4.44\right \rfloor = 4$

B. $\left \lceil \frac{10}{2.25} \right \rceil = \left \lceil 4.44 \right \rceil=5$

C. $\frac{10}{\left \lceil 2.25\right \rceil} =\frac{10}{3} =0.33$

D. $\frac{10}{\left \lfloor 2.25\right \rfloor} = \frac{10}{2} = 5$

Hence, we see that from the options, A is correct.

3 0

3 years ago

Read 2 more answers

A bottle of root beer contains 4/5 L. How much root beer is in 3 bottles?

shusha [124]

$3\cdot\frac{4}{5}=2.4 \hbox{ l}$

5 0

3 years ago

13 and 15<br><br>solve each problem by graphing and slope intercept

mylen [45]

Answer: The answers are 13. (A) and 14. (B).

Step-by-step explanation: The calculations are as follows:

(13) The given equations are

$y=-\dfrac{3}{8}x-6,\\\\\\y=-\dfrac{13}{8}x+4.$

In the attached figure (a), these two lines are drawn. We can see that The lines intersect at the point P(8, -9). So, the solution to the pair of equations is (8, -9).

Thus, the correct option is (A).

(14) The given equations are

$y=-\dfrac{1}{7}x-1,\\\\\\y=-x+5.$

In the attached figure (b), these two lines are drawn. We can see that The lines intersect at the point Q(7, -2). So, the solution to the pair of equations is (7, -2).

Thus, the correct option is (B).

7 0

3 years ago

Differentiation. questions 1 and 2

drek231 [11]

For 11, we start by plugging 1 in, getting 2(1)^2+1-5=-2=y

Plugging 1+m instead, we get 2(1+m)^2+1+m-5=2(1+2m+m^2)+1+m-5
= 2+4m+2m^2+1+m-5= 2m^2+5m-2. We have to find the difference between that and -2, so 2m^2+5m-2 -(-2)=2m^2+5m

Differentiating 12, we use the Power Rule to get -6x^2+14, and plugging x=1 into it, we get -6(1)^2+14=-6+14=18

4 0

3 years ago