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3 years ago

5 times the sum of a number and 27 is greater than or equal to 6 times the sum of that number and 26

Mathematics

1 answer:

tester [92]3 years ago

5 0

$5(x+27)\geq6(x+26)\\
5x+135\geq6x+156\\
x\leq -21

$

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What does x is greater than 5 mean

kotegsom [21]

Answer:

That x is any number bigger that 5 so 6 plus

Step-by-step explanation:

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3 years ago

An equation of the perpendicular bisector of the line segment with end points (3,0) and (-3,0) is

Norma-Jean [14]

Answer:

$x = 0$

Step-by-step explanation:

Given

$(x_1,y_1) = (3,0)$

$(x_2,y_2) = (-3,0)$

Required

The equation of the perpendicular bisector.

First, calculate the midpoint of the given endpoints

$(x,y) = 0.5(x_1 + x_2, y_1 + y_2)$

$(x,y) = 0.5(3-3, 0+ 0)$

$(x,y) = 0.5(0, 0)$

Open bracket

$(x,y) = (0.5*0, 0.5*0)$

$(x,y) = (0, 0)$

Next, determine the slope of the given endpoints.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{0 - 0}{-3- 3}$

$m = \frac{0}{-6}$

$m = 0$

Next, calculate the slope of the perpendicular bisector.

When two lines are perpendicular, the relationship between them is:

$m_2 = -\frac{1}{m_1}$

In this case:

$m = m_1 = 0$

So:

$m_2 = -\frac{1}{0}$

$m_2 = unde\ fined$

Since the slope is $unde\ fined$ , the equation is:

$x = a$

Where:

$(x,y) = (a,b)$

Recall that:

$(x,y) = (0, 0)$

So:

$a = 0$

Hence, the equation is:

$x = 0$

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3 years ago

Which value of y will make the inequality y<-1 false

SVEN [57.7K]

0 or 1 or 2............................................

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3 years ago

Read 2 more answers

What is 9 more than y

Volgvan

9 more than y is an expression so it would be 9+y

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3 years ago

a red hot ar balloon is 100 feet off the ground and is rising at a rate of 8 feet per second. a green hot air balloon is 160 fee

zhenek [66]

Answer:

it would be a fraction of a sec

Step-by-step explanation:

see if you just simply took out a calculator you would see its not possible unless you knew what the balloon is descending at during the fraction of the seconds

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3 years ago