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djverab [1.8K]
2 years ago
9

What is LN? The image consists of a number line labelled from negative 4 to positive 16 in the interval of two. Points L, M and

N are marked -2, +6 and +12 respectively.
A . 14
B. 10
C. 16
D. 7
Mathematics
1 answer:
Solnce55 [7]2 years ago
7 0
<h3>Answer:  A) 14</h3>

========================================================

Explanation:

Let's add point P at the location 0 on the number line.

The distance from L to P is 2 units. We can say LP = 2, ie segment LP is 2 units long.

Similarly, segment PN is 12 units long

Refer to the diagram below

The segments LP = 2 (red) and PN = 12 (blue) are then added to get the total distance from L to N. That total distance being LN = LP+PN = 2+12 = 14.

Point M is not used at all.

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3
lara31 [8.8K]

Answer:

0

Step-by-step explanation:

Given the points J (1,-10) and K (7, 2)

From the section formula

(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:

y=\dfrac{my_2+ny_1}{m+n}\\m=5, n=1, y_1=-10, y_2=2\\Therefore:\\y=\dfrac{5*2+1*-10}{5+1}\\=\dfrac{10-10}{6}\\=0

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

5 0
3 years ago
Which set of graphs can be used to find the solution set to 3 log2(x + 4) &lt; 6?
alexgriva [62]

Answer:

It's graph D

Step-by-step explanation:

5 0
3 years ago
Emily reads a story book. o the first day, she reads 1/9 of the whole book, and on the second day, she reads 24 pages. The ratio
Marina86 [1]

There are 270 pages in this book.

Given that,

Emily reads a storybook the first day,

She reads 1/9 of the whole book, and on the second day, she reads 24 pages.

The ratio of the number of pages read to the remaining pages in the two days is 1:4.

We have to find

How many pages are there in this book?

According to the question,

Let, P is the number of pages,

The first day Emily reads p/9 pages of the whole book,

And the second day she read 24 pages.

The ratio of the number of pages read to the remaining pages in the two days = 1;4 = p/5.

Therefore,

The number of pages reads first day + the number of pages read the second day = The ratio of the number of pages read to the remaining pages in the two days

\rm \dfrac{p}{9} + 24 = \dfrac{p}{5}\\\\ \dfrac{p}{5} - \dfrac{p}{9} = 24\\\\\dfrac{p \times 9 - p\times 5}{45} = 24\\\\ \dfrac{9p-5p}{45} = 24\\\\\dfrac{4p}{45} = 24\\\\4p = 24\times 45\\\\4p = 1080\\\\p = \dfrac{1080}{4}\\\\p = 270 \ pages

Hence, there are 270 pages in this book.

For more details refer to the link given below.

brainly.com/question/14505922

8 0
2 years ago
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Scorpion4ik [409]

Answer:15 minutes


Step-by-step explanation: 5/2 * 6 = 30/2 = 15


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3 years ago
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P=- 8. Divide both sides by -6.
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