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2 years ago

How do you solve y=4/5x+5

Mathematics

1 answer:

Tema [17]2 years ago

4 0

This is about as simple as you can get it unless you want to graph it.

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From Denver yo Chicago =3in if the scale is 1in=300miles

Amiraneli [1.4K]

Basically a proportion so it’d be 1in/300 mi = 3in/x mi
cross multiple that out and you get 300•3=x and then just solve for x. the answer should be 900 miles.

5 0

2 years ago

Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer.

Sonja [21]

<h3>Answer: Rhombus</h3>

======================================================

Reason:

Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2, y_2) = (7,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (5-6)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17}\\\\d \approx 4.1231\\\\$

Segment AB is exactly $\sqrt{17}$ units long, which is approximately 4.1231 units.

If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.

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

Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.

Let's find the slope of AB.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2,y_2) = (7,6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{6 - 5}{7 - 3}\\\\m = \frac{1}{4}\\\\$

Segment AB has a slope of 1/4.

Do the same for BC

$B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2) = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\$

Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.

We don't have perpendicular lines, so the interior angles are not 90 degrees each.

Therefore, this figure is not a rectangle and by extension it's not a square either.

The best description for this figure is a <u>rhombus</u>.

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1 year ago

Read 2 more answers

4. If a warehouse holds 300 boxes, and a truck holds 25 boxes. How many truckloads will it take to fill up one warehouse?

Brut [27]

It will take 12 truckloads to fill up one warehouse. Hope this helps.

8 0

3 years ago

Read 2 more answers

In the table, Pattern A uses the rule "add 3" and Pattern B uses the rule "add 9."

Paladinen [302]

Statement 1 is true.
-Hope this helps, have a nice day! :)

6 0

3 years ago

How do you graph y=2x-10

bixtya [17]

One of the easier approaches would be that of x- and y-intercepts.

Setting x=0 results in y=-10; the y-intercept is (0, -10).
Setting y = 0 results in x = 5, so the x-intercept is (5,0).

Plot these 2 points. Then draw a str. line thru these points.

6 0

3 years ago