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3 years ago

The speed of an object in space is shown in the graph.

Mathematics

1 answer:

Virty [35]3 years ago

4 0

Step-by-step explanation:

the slope is the ratio y/x (or here distance/time) indicating how many units y changes, when x changes a certain amount of units when going from one point to another.

so, we have 2 points here

(0.2, 3)

(0.4, 6)

x (or time) changes by 0.2 units (from 0.2 to 0.4).

y (or distance) changes by 3 units (from 3 to 6).

therefore, the slope is 3/0.2 = 3/(1/5) = 3/1 / 1/5 = 3×5/1×1 = 15

that means based on the graph, that the object travels 15 miles in 1 minute.

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How do I solve for AB? (rounded to the nearest tenth)

kolbaska11 [484]

Answer:

The answer would be 8.1

Step-by-step explanation:

For the smaller triangle, you use the pythagorean theorem. a squared + b squared = c squared.

To find one of the legs, you do 5 squared - 3 squared = b squared.

25 - 9 = b squared. (BD)

16 = b squared

4 = b

Now for the bigger right triangle. You still use the same tactic.

7 squared + 4 squared = c squared (which is AB)

49 + 16 = c squared

65 = c squared

That means c would equal: square root of 65, which is 8.0622577483 which rounds to 8.1

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2 years ago

A line passes through the points (–1, –5) and (4, 5). The point (a, 1) is also on the line.

IgorC [24]

Answer:

a = 2

Step-by-step explanation:

Let's find the equation of the line using the 2 points given.

Let's call -1 as x_1 and -5 as y_1

also, 4 as x_2 and 5 as y_2

The equation of line is :

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

<em>Let's plug the points and get the equation of the line:</em>

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y+5=\frac{5+5}{4+1}(x+1)\\y+5=2(x+1)\\y+5=2x+2\\y=2x-3$

Now, to find a, we substitute a in x and 1 in y of the equation of the line we just got:

$y=2x-3\\1=2(a)-3\\1=2a-3\\2a=4\\a=\frac{4}{2}=2$

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Llana [10]

The answer should be $200.
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Answer:

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Step-by-step explanation:

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Answer:

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