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djverab [1.8K]
3 years ago
5

In Exercises 9 and 10, point B is between A and Con AC. Use the information to

Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

Answer:n

Step-by-step explanation:

n

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Scientists on an oceanographic research vessel board a miniature submarine when it is at an elevation of 2 meters above the ocea
svetoff [14.1K]

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

The ocean floor directly beneath the boat is at a depth of = 180 meters

Submarine is at an elevation when it is above the ocean's surface = 2 meters

Total distance submarine needs to descends at a constant rate = 180+2=182 m

Rate of submarine descends = 0.4 meters per second.

Time taken by a scientist spend descending after boarding the submarine is given by

Time=\frac{Distance}{Speed}\\\\Time=\frac{182}{0.4}\\\\Time=455\ seconds

so, it must be less than 455 seconds.

therefore, it becomes x<455.

Hence, Option 'A' is correct.

5 0
3 years ago
Read 2 more answers
Ts. Factor the following trinomial.<br> 5x2 + 39x -8<br> Factors:
Georgia [21]

Answer:

(5x-1)(x+8)

Step-by-step explanation:

6 0
4 years ago
A line passes through (-2,3), (2,5), and (6,k). Find k.
Semenov [28]
We know the line runs through -2,3 and 2,5.

it also runs through 2, 5 and 6,k.

since all points are on the line, they're colinear, and therefore the line runs also through -2,3 and 6,k.

keeping in mind that line maintains a constant slope, therefore, the slope for -2,3 and 2,5, has to be the same slope as for 2,5 and 6,k.

what is the slope of -2,3  and 2,5 anyway?

\bf \begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&&(~{{ -2}} &,&{{ 3}}~) &#10;%  (c,d)&#10;&&(~{{ 2}} &,&{{ 5}}~)&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}\implies &#10;\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{5-3}{2-(-2)}\implies \cfrac{5-3}{2+2}\implies \cfrac{2}{4}\implies \cfrac{1}{2}

and since we know the slope of 2,5 and 6,k is the same, then,

\bf \begin{array}{ccccccccc}&#10;&&x_1&&y_1&&x_2&&y_2\\&#10;%  (a,b)&#10;&&(~{{ 2}} &,&{{ 5}}~) &#10;%  (c,d)&#10;&&(~{{ 6}} &,&{{ k}}~)&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}\implies &#10;\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{k-5}{6-2}\implies \cfrac{k-5}{4}=\stackrel{slope}{\cfrac{1}{2}}&#10;\\\\\\&#10;2k-10=4\implies 2k=14\implies k=\cfrac{14}{2}\implies k=7
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3 years ago
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icang [17]
It would be 33 yards
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slavikrds [6]
C i know for sure!!!!
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4 years ago
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