2 years ago

What fraction with a denominator of 12 is equivalent to 1/4?

Mathematics

1 answer:

nikdorinn [45]2 years ago

4 0

Answer:

the fraction 3/12

Step-by-step explanation:

it is saying that x/12 = 1/4

x = 1 × 12 / 4

x = 12/ 4

x = 3

the fraction 3/12

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Consider m = y2 - y1/ x2 - x1 . Which x1 and x2-values would determine that the line is vertical? Justify your answer

Y_Kistochka [10]

Answer:

$x_2=x_1$

Step-by-step explanation:

We were given the slope formula;

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

This line is vertical if the denominator is zero.

That is when $x_2-x-1=0$

This implies that;

$x_2=x_1$

Justification;

When $x_2=x_1$ , then, the line passes through;

$(x_1,y_1)$ and $(x_1,y_2)$

The slope now become

$m=\frac{y_2-y_1}{x_1-x_1}=\frac{y_2-y_1}{0}$

The equation of the line is

$y-y_1=\frac{y_2-y_1}{0}(x-x_1)$

This implies that;

$0(y-y_1)=(y_2-y_1)(x-x_1)$

$0=(y_2-y_1)(x-x_1)$

$\frac{0}{y_2-y_1}=(x-x_1)$

$0=(x-x_1)$

$x=x_1$ ... This is the equation of a vertical line.

3 0

3 years ago

Brock is a plumber. He charges a flat rate of $40 to visit a house to inspect its plumbing. He charges an additional $20 for eve

GalinKa [24]

Let x = hours of service.
Let y = total charges for x hours
The fixed charge is $20.
The charge per hour is $20.

Brock's charges for x hours is
y = 40 + 20x

This is a straight line with slope = 20 and y-intercept = 40.
The correct graph is W.

Answer: W