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2 years ago

Are the equations m + 3 = -5 and m = -2 equivalent? Explain why or why not?

Mathematics

1 answer:

patriot [66]2 years ago

7 0

Answer:

Step-by-step explanation:

When m+3=-5, collection of like terms says; -5-3

Now,-5+-3 = -8 and -2≠-8 hence,they aren't equivalent

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Points A (3,8) and B (-4,8 are located on a cooridinate plane. Find the distance between them.

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3 years ago

The sides of △FGH are FG = 6 x+ 7, GH = 8x - 5, and FH = 10x - 11. If the perimeter of △FGH is 87, list the angles in order from

irga5000 [103]

Answer:

From largest to smallest: FG, FH, GH

Step-by-step explanation:

Given

$FG = 6x + 7$

$GH = 8x - 5$

$FH = 10x - 11$

$Perimeter = 87$

Required

Order the sides in descending order

First, we need to solve for x.

Perimeter of FGH is calculated as thus:

$Perimeter = FG + GH + FH$

Substitute values for FG, GH, FH and Perimeter

$87 = 6x + 7 + 8x - 5 + 10x - 11$

Collect Like Terms

$87 - 7 + 5 + 11= 6x + 8x + 10x$

$96= 24x$

Reorder

$24x = 96$

Divide through by 24

$x = 96/24$

$x = 4$

Substitute 4 for x in FG, GH and FH

$FG = 6x + 7$

$FG = 6 * 4 + 7$

$FG = 24 + 7$

$FG =31$

$GH = 8x - 5$

$GH = 8 * 4 - 5$

$GH = 32 - 5$

$GH = 27$

$FH = 10x - 11$

$FH = 10*4 - 11$

$FH = 40 - 11$

$FH = 29$

In order of arrangement in descending order, we have:

$FG =31$ $FH = 29$ $GH = 27$

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2 years ago

What conversion factor would you use to solve thikproblem?

ira [324]

Conversion factor is the term that is to be multiplied to a variable when converting between units. The conversion factor is: $2.20lbs /kg$

Given that:

$54kg \to x\ lbs$

From standard unit of conversion:

$1kg = 2.20lbs$

So, we have:

$54kg \to x\ lbs$

$1kg = 2.20lbs$

Cross multiply

$54kg \times 2.20lbs = xlbs \times 1kg$

Divide both sides by 1kg

$54kg \times 2.20lbs /kg= xlbs$

Rewrite as:

$x = 54kg \times 2.20lbs /kg$

Hence, the conversion factor is: $2.20lbs /kg$

Read more about conversion factors at:

brainly.com/question/6988886

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2 years ago