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N76 [4]
3 years ago
8

Write the equation, in point-slope form, that contains the point (3, -6) with a slope of 2.

Mathematics
1 answer:
maria [59]3 years ago
3 0

Answer:

y+6=2(x-3)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-6)=2(x-3)

y+6=2(x-3)

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Evaluate the expression. 1/2 x (4+8)
Elanso [62]

Answer:

Hey there!

1/2 x (4+8)

1/2 x (12)

6

Hope this helps :)

8 0
3 years ago
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Referring to the figure, find the value of x
mestny [16]

Answer:

x = 18

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 5x + 72 = 180

6x + 72 = 180

6x = 180 - 72

6x = 108

x = 18

8 0
3 years ago
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Which of the following points lies in the solution set of the inequality y > 3x +10?
shepuryov [24]

Since 3 is greater than -3, hence (-1, 3) lie in the solution set. Option C is correct

In order to determine the points that lie in the solution set of the inequality y > 3x +10, we will substitute the x-coordinate and see if <u>y is greater than the result.</u>

<u />

For the coordinate point (1, 10)

y > 3(1) +10

y > 13

Since 10 is not greater than 13, hence (1,10) does not lie in the solution set.

For the coordinate point (4, 20)

y > 3(4) +10

y > 22

Since 20 is not greater than 22, hence (4,20) does not lie in the solution set.

For the coordinate point (-1, 3)

y > 3(-1) +10

y > -7

Since 3 is greater than -3, hence (-1, 3) lie in the solution set.

Learn  more on inequality here: brainly.com/question/24372553

7 0
2 years ago
In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-sevent
Otrada [13]

Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

3 0
2 years ago
Can sumone answer this &gt;:D ???????/
nirvana33 [79]

Answer:

3x + 4y - 32= 0

Step-by-step explanation:

.....

.......

8 0
3 years ago
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