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3 years ago

What is the slope of the line segment? a 1/4 b -1/4 c 4 d 4

Mathematics

1 answer:

galina1969 [7]3 years ago

7 0

to get the slope of any line, we can simply use two points off of it, for this one, say (3,12) and (4,16)

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-12}{4-3}\implies \cfrac{4}{1}\implies 4$

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Solve for x. 45(15x+20)−7x=56(12x−24)+6

Liula [17]

Greetings!

Solve for x.
$45(15x+20)-7x=56(12x-24)+6$
Distribute the Parenthesis.
$675x+900-7x=56(12x-24)+6$
$675x+900-7x=672x-1344+6$
Combine Like Terms.
$668x+900=672x-1338$
Add 1338 to both sides.
$(668x+900)+1338=(672x-1338)+1338$
Subtract 668x from both sides.
$[(668x+900)+1338]-668x=[(672x-1338)+1338]-668x$
Simplify.
$900+1338=672x-668x$
$2238=4x$
Divide both sides by 4.
$(2238)/4=(4x)/4$
Simplify.
$559.5=x$
$x=559.5$

Hope this helps.
-Benjamin

8 0

3 years ago

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butalik [34]

Answer:

x is 11 degree

Step-by-step explanation:

35+5x=90

5x=90-35

5x=55

x=11

this answer is found by linear equation method

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3 years ago

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clara wants to run a total od 5 1/2 miles each lap around the track is 0.25 miles how many laps around the track does clara need

elena-14-01-66 [18.8K]

0.25•4=1
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Clara would have to run 22 laps

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3 years ago

Factor the expression. 4x + 8 The factored expression is

natita [175]

Answer:

4(x + 2)

Step-by-step explanation:

Factor out common factors from each term. Note the factors for each number

4: 1, 2, 4

8: 1, 2, 4, 8

The largest factor for each is 4, and so divide 4 from both terms.

(4x + 8)/4 = (x + 2)

4(x + 2) is your factored expression.

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From ground level to the tip of the torch the Statue of Liberty and its pedestal are 92.99 meters tall. The pedestal is 0.89 met

Leno4ka [110]

The Statue of Liberty and its pedestal are 92.99 meters tall. The pedestal is 0.89 meter taller than the statue. Let s represent the height of the Statue of Liberty. So, s + 0.89 represents the height of the pedestal. Equation: s + (s + 0.89) = 92.99 s + (s + 0.89) = 92.99 2s + 0.89 = 92.99 – 0.89 = – 0.89 2s = 92.10 s = 46.05 The Statue of Liberty is 46.05 meters tall.

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4 years ago