3 years ago

Please need help on this

Mathematics

1 answer:

Artyom0805 [142]3 years ago

4 0

roberta saves $10 a week

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Which equation represents a line that intersects the line 2y − 4x = 3? A.-2y + 4x = 1 B. 3y − 6x = 6.5 C. y − 2x = 3 D. -2y − 4x

irga5000 [103]

Convert all the equations to slope-intercept form:
$2y-4x=3 \ \ \ |+4x \\
2y=4x+3 \ \ \ |\div 2 \\
y=2x+\frac{3}{2}$

$A. \\
-2y+4x=1 \ \ \ |-4x \\
-2y=-4x+1 \ \ \ |\div (-2) \\
y=2x-\frac{1}{2} \\ \\
B. \\
3y-6x=6.5 \ \ \ |+6x \\
3y=6x+6.5 \ \ \ |\div 3 \\
y=2x+\frac{13}{6}$

$C. \\
y-2x=3 \ \ \ |+2x \\
y=2x+3 \\ \\
D. \\ 
-2y-4x=3 \ \ \ |+4x \\
-2y=4x+3 \ \ \ |\div (-2) \\
y=-2x-\frac{3}{2}$

Lines A, B and C have the same slope as the line 2y-4x=3, so they are parallel and don't intersect it.
Line D has another slope, so it intersects the line 2y-4x=3.
The answer is D.

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4 years ago

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butalik [34]

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Step-by-step explanation:

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Answer:

the number of black tokens in the bag is 2

Step-by-step explanation:

The computation of the number of black tokens in the bag is as followS

Given that

There is 8 green tokens

and, the ratio of green tokens to black tokens is 4:1

So let us assume the black tokens be x

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$\frac{8}{x} = \frac{4}{1}$

Now do the cross multiplication

x = 2 tokens

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