3 years ago

What is the answer to 7n-2(n+5)< 3n-16

2 answers:

6 0

<span>7n-2(n+5)< 3n-16 / -3n-16
7n-2(n+5)-3n+16<0
5n-3n-10+16<0
2n-10+16<0
2n+6<0 / -6
2n< -6 / :2
n< -6/2
n< -3
n</span>є(-∞:-3)

tino4ka555 [31]3 years ago

4 0

7n-2(n+5)< 3n-16
7n-2n+10<3n-16 Distribute the 2 into n+5
5n+10<3n-16 Subtract like figures
5n-3n+10<3n-3n-1 Subtract 3n from each side. (You want the variable on ONE side.)
2n+10-10<-16-10 Isolate the variable. Negative plus negative= bigger negative.
2n/2< -26/2 Negative divided by positive= smaller negative. Divide by 2 to isolate.
n<-13

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What is the distance between the building B (4, 6) and the station K (–6, –2)? Use a calculator to round to the nearest tenth.

Svetllana [295]

Answer:

The answer is

<h2>12.8 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

B (4, 6) and K (–6, –2)

The distance is

$|BK| = \sqrt{ ({4 + 6})^{2} + ({6 + 2})^{2} } \\ = \sqrt{ {10}^{2} + {8}^{2} } \: \: \: \: \: \: \: \: \: \\ = \sqrt{100 + 64} \: \: \: \: \: \: \: \: \: \\ = \sqrt{164} \\ = 2 \sqrt{41} \\ = 12.80$