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3 years ago

8

Hey, Y'all. Was wonderin' bout this pesky question that got me a bit stumped. Thank ya for your help.

1 answer:

puteri [66]3 years ago

4 0

Answer: Choice B) (24,10)

---------------------------------------------------------

Work Shown:

2x - 4y = 8
2( x ) - 4y = 8
2( 3y-6 ) - 4y = 8 ... notice x has been replaced with 3y-6
2(3y)+2(-6) - 4y = 8
6y-12 - 4y = 8
2y-12 = 8
2y-12+12 = 8+12 ... add 12 to both sides
2y = 20
2y/2 = 20/2 ... divide both sides by 2
y = 10

If y = 10, then
x = 3y-6
x = 3*10-6 ... replace y with 10
x = 30-6
x = 24

Put together, the solution is (x,y) = (24,10)
which is why the answer is choice B

As a check, we can plug (x,y) = (24,10) into each equation
x = 3y-6
24 = 3*10 - 6
24 = 30 - 6
24 = 24 ... true equation
and similarly for the second equation as well
2x-4y = 8
2*24 - 4*10 = 8
48 - 40 = 8
8 = 8 ... true equation
Both equations are true when (x,y) = (24,10) so the solution is confirmed

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3 years ago

Https://www.hmhco.com/one/assessment/#/formativeLive Assessment/

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A. equation: y = -3x - 2

B. y-intercept: -2

<em><u>Solution:</u></em>

Given that,

<em><u>Write the equation 12x = - 4y - 8 in slope-intercept form</u></em>

The slope intercept form is given as:

$y = mx + c$

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m is the slope and "c" is the y intercept

From given

$12x = -4y - 8\\\\Rewrite\\\\-4y-8 = 12x\\\\Move\ the\ constant\ to\ right\ side\\\\-4y = 12x + 8\\\\y = \frac{12x}{-4} + \frac{8}{-4}\\\\y = -3x -2$

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3 0

3 years ago

Convert 17.42 m to customary units. A.57'-17/8" B. 36-10 1/2" C. 442 1/2" D. 367/8" E. None of these answers is reasonable.

mars1129 [50]

Answer:

Option E - None of these answers is reasonable.

Step-by-step explanation:

To find : Convert 17.42 m to customary units ?

Solution :

The customary units is defined as the measure length and distances in the customary system are inches, feet, yards, and miles.

The options belong to feet and inches.

We have to convert meter into inches, feet.

Meter into feet,

$1 \text{ feet} = 0.3048 \text{ meter}$

$1 \text{ meter} = \frac{1}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{17.42}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{174200}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{464}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{58}{381}\text{ feet}$

Now, Feet into inches

$1 \text{ feet} = 12\text{ inches}$

$\frac{58}{381} \text{ feet} = 12\times \frac{58}{381}\text{ inches}$

$\frac{58}{381} \text{ feet} =\frac{232}{381}\text{ inches}$

i.e. $17.42 \text{ meter} =57\text{ feet }\frac{232}{381}\text{ inches}$

or $17.42 \text{ meter} =57'\frac{232}{381}''$

None of these answers is reasonable.

Therefore, Option E is correct.

5 0

3 years ago