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prisoha [69]
3 years ago
14

Select the locations on the number line to plot the points 10/2 and −9/2 .

Mathematics
2 answers:
tresset_1 [31]3 years ago
4 0

Answer:

5 and -4.5

Step-by-step explanation:

10/2=5

and -9/2=-4.5

-5  -4.5 -4 -3 -2 -1 0 1  2 3 4 5

Lisa [10]3 years ago
4 0

Answer:

The number line is in the attached picture.

Step-by-step explanation:

We have the points 10/2 and −9/2.

The point 10/2 can be expressed as:

\frac{10}{2} =5

The point -9/2 can be expressed as:

- \frac{9}{2}= - \frac{8+1}{2}= -(\frac{8}{2} + \frac{1}{2})= -(4 + \frac{1}{2} )=-4\frac{1}{2}

So for the first point we have to count 5 places from zero to the right.

For the second point, we have to count 4 places and a half from zero to the left.

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Am I correct? If not please explain why!
Kipish [7]

yes, you are correct. every input corresponds to only one output

6 0
3 years ago
On a coordinates plane, a line passes through ( - 2 , 3 ) and ( 2 , 6 ). Which of the followings lies on the same line.
Dahasolnce [82]

By direct comparison and definition of <em>line</em> segment  we notice that the point (x, y) = (- 6, 0) lies on the <em>line</em> segment <u>AB</u> as each <u>AP</u> is a multiple of former. (Correct choice: C)

<h3>What point lies on a line segment?</h3>

According to linear algebra, a point lies in a <em>line</em> segment if its vector is a multiple of the vector that generates the <em>line</em> segment itself, that is:

<u>AB</u> = k · <u>AP</u>        (1)

The vector that generates the <em>line</em> segment is:

<u>AB</u> = (2, 6) - (- 2, 3)

<u>AB</u> = (4, 3)

And the vectors related to each point are:

Case A

<u>AP</u> = (- 2, 12) - (- 2, 3)

<u>AP</u> = (0, 9)

Case B

<u>AP</u> = (6, 12) - (- 2, 3)

<u>AP</u> = (8, 9)

Case C

<u>AP</u> = (- 6, 0) - (- 2, 3)

<u>AP</u> = (- 4, - 3)

Case D

<u>AP</u> = (- 6, 6) - (- 2, 3)

<u>AP</u> = (- 4, 3)

By direct comparison and definition of <em>line</em> segment  we notice that the point (x, y) = (- 6, 0) lies on the <em>line</em> segment <u>AB</u> as each <u>AP</u> is a multiple of former. (Correct choice: C)

To learn more more on line segments: brainly.com/question/25727583

#SPJ1

4 0
1 year ago
Simplify the following expression 8*(8+4-10)<br>A.16<br>B.58<br>C.112<br>D.86​
strojnjashka [21]
<h3>I'll teach you how to solve 8*(8+4-10)</h3>

--------------------------------------------------

8*(8+4-10)

Follow the PEMDAS order of operations:

Calculate with parentheses (8+4-10) = 2

8*2

Multiply and divide (left to right):

8*2=16

Your Answer Is A.16

plz mark me as brainliest :)

8 0
3 years ago
4. Il m23 - 54º, find each measure,
Blizzard [7]

Answer:

m (1) =36

m ( 2 ) = 90

m ( 4) = 36

m (5) = 90

m ( 6 ) = 54

m (7) = 126

m (8) = 54

ml9) = 126

m (l0) =, 54

m (II) =36

m (12 ) = 144

m (13) = 36

m (14) = 144

8 0
3 years ago
a)b 256What are the values of a and b in the equation(4x[4x2- ?○ a-2, b-4○ a=-2, b-4○ a-2, b=-4○ a-2, b=-422aaaa0000C日
klasskru [66]
Hi.... your answer is below:

\left( 4.x^{a} \right)^{b}=\dfrac{256}{x^{8}}\rightarrow 4^{b}x^{ab}=256x^{-8}\rightarrow 2^{2b}.\,x^{ab}=2^{8}.\,x^{-8}\rightarrow\\ \text{by comparison}\\ 2^{2b}=2^{8}\rightarrow 2b=8\rightarrow \boxed{b=4}\\ x^{ab}=x^{-8}\rightarrow x^{4a}=x^{-8}\rightarrow 4a=-8\rightarrow \boxed{a=-2}

Thanks....
8 0
4 years ago
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