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4 years ago

14

Tell whether x and y are in a proportional relationship explain your reasoning for D and F

1 answer:

icang [17]4 years ago

6 0

X and y are proportional with d and f

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What is an equation of the line that passes through the point (8,-8)(8,−8) and is perpendicular to the line 4x-3y=184x−3y=18?

Kitty [74]

Answer:

The equation of the line is $y = -\frac{3x}{4} - 2$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Perpendicular lines:

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to the line 4x-3y=18

First, we place this line into the format, to find the slope:

$4x - 3y = 18$

$3y = 4x - 18$

$y = \frac{4x}{3} - 6$

This line has slope 4/3. So, for the perpendicular line, the slope will be of m as such:

$\frac{4m}{3} = -1$

$4m = -3$

$m = -\frac{3}{4}$

So the desired line will have an equation in the following format:

$y = -\frac{3x}{4} + b$

Passes through the point (8,-8)

We use this to find b. This point means that when $x = 8, y = -8$ . So

$y = -\frac{3x}{4} + b$

$-8 = -\frac{3*8}{4} + b$

$-8 = -6 + b$

$b = -2$

So

$y = -\frac{3x}{4} - 2$

8 0

3 years ago

63+5(8+1/5)<br><br> the 6 and 3 is not 63 it is 6 and a 3 in the corner.

Dennis_Churaev [7]

By Simplifying, The Answer is 257.

6 0

3 years ago

1/3 is greater or less than 1

tatiyna

Answer: less than one

7 0

3 years ago

Read 2 more answers

Is 36/54 the same as 48/72?

skad [1K]

$\frac{36}{54} = \frac{18\times 2}{18\times 3} = \frac{2}{3}$

$\frac{48}{72} = \frac{24\times 2}{24\times 3}= \frac{2}{3}$

So, yes! Both fractions are equivalent.

7 0

3 years ago

Read 2 more answers

A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each ad

marishachu [46]

Answer: Line joining ordered pairs (0, 10) and (15, 0) and Shade the portion of the graph below this line which lies within the first quadrant.

Step-by-step explanation:

Here, The club charges $y an hour for each child and $x an hour for each adult.

And, according to the question,

In the family 3 children and 2 adults visited a health club such that the family does not want to spend more than $30 an hour at the health club.

That is, $2x + 3y\leq 30$

Which is the required inequality.

Since at origin, $2\times 0 + 3\times \leq 30$ (true)

That is, the inequality must contains the origin.

Therefore, shaded region will occur below the line.

Also, x-intercept of the given line is (15,0)

And, y-intercept of the given line is (0,10)

Thus the line will join the order pairs (15,0) and (0,10)

Also, $x\geq 0$ and $y\geq 0$ ( because charges can not be negative)

Therefore the shaded region will only contain the first quadrant.

6 0

4 years ago