Susan was thinking of a number that when she multiplies it by two and then

Mathematics

1 answer:

Gnesinka [82]3 years ago

6 0

Answer:

-4

Step-by-step explanation:

Let the number be x

If she multiplies the number by 2, it will become 2x

If divided by 4, it will be 2x/4, if she multiplies the result by itself, we will have:

2x/4(2x/4) = 4x/16

If she subtract the original number from 6 and divide by 10, we will have;

x-6/10

Equating both expressions

4x/16 = x-6/10

Cross multiply

4x(10)= 16(x-6)

40x =16x-96

40x-16x = -96

24x = -96

x = -96/24

x = -4

Hence the number is -4

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How do i do this???????????????????????????????????

Karo-lina-s [1.5K]

Answer:

The y-intercept is (0, -6).

Step-by-step explanation:

The question is asking you to find the equation of the line that passes through the point (7, 1) and is parallel to line j, which means that the line has the same slope as line j.

To find the slope of line j, you would use the slope formula: $\frac{y_2-y_1}{x_2-x_1}$ .

Use the points on line j: (4, 1), (-3, -6). Substitute in -6 for $y_2$ and 1 for $y_1$ . Substitute -3 for $x_2$ and 4 for $x_1$ .
$\frac{(-6)-(1)}{(-3)-(4)} \rightarrow \frac{-7}{-7} = 1$
The slope of line j is 1, therefore the equation of the line we are writing will also have a slope of 1 since they must be parallel.

To write the equation of the line, use the point-slope formula because we are given the two things in the name of the formula---a point that the line passes through (7, 1) and the slope of the line (1).