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4 years ago

What is the slope of the line with points (3, 5) and (8, 2)?

Mathematics

1 answer:

Simora [160]4 years ago

4 0

Answer:

-3/5

Step-by-step explanation:

To find slope we use the formula, slope = (y2-y1)/(x2-x1)

We let (3,5) be the first point so, x1 = 3 and y1 = 5

We let (8,2) be the second point so, x2 = 8 and y2 = 2

Now we plug it in the formula,

slope = (2-5)/(8-3) = -3/5

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In which quadrant will the triangle be located after this series of transformations? Does the size of the triangle change after

ASHA 777 [7]

Answer:

Step-by-step explanation:

1. Translate (x, y) → (x + 1, y + 2)

The x coordinate will be translated 1 units horizontally and the y coordinate will be translated up 2 units vertically but they are still locate in the 1st quadrant

2. R (origin, 90° clockwise)

It still locate in the 1st quadrant because after rotating it will create an angle 90°

3. Translate (x, y) → (x + 2, y - 3)

The x coordinate will be translated 2 units horizontally but the the y coordinate will be translated down 3 units vertically, so:

- It will remain in the first quadrant.

- There is no size of the triangle will change.

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3 years ago

A laser travels from glass to water at an angle of 35° with the normal, Θ1. If water has an index of refraction of 1.33 and glas

umka2103 [35]

When light moves from one medium to another, it is refracted. If it moves from a medium with refractive index n1 to one with refractive index n2, with an incidence angle to the surface normal of θ1, the refraction angle θ2 can be calculated from Snell's law.

The Snell's law states that the ratio of the sines of the angles of incidence and refraction of a wave (in this case beam/light) are constant when it passes between two given media.

$n_1\sin\theta_1=n_2\sin\theta_2$

Given that a laser travels from glass to water at an angle of 35° with the normal, $\theta_1$ . If water has an index of refraction of 1.33 and glass has an index of refraction of 1.52, then we have:

 $1.52\sin35^o=1.33\sin\theta_2 \\ \\ \Rightarrow\sin\theta_2= \frac{1.52\sin35^o}{1.33} =0.6555\therefore\theta_2=\sin^{-1}0.6555\approx41^o$

7 0

3 years ago

4400 dollars is place in an account with annual interest rate of 8.25% How much will be in the account after 22years to the near

tatiyna

Answer: A = 4400(1 + 0.0825 x 22)

Step-by-step explanation:

A = accumulated amount

P = original amount unloaded- $4400

r = rate - 8.25% = 0.0825

t = years = 22

= 4400(1 + 0.0825 x 22)

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3 years ago

A total of raffle tickets were sold at a school fair

Elis [28]

Answer:

ok and what else there is 80 percent left

Step-by-step explanation:

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3 years ago

There are 16 pieces of fruit in a basket, including 2 nectarines. What is the probability that a randomly selected piece of frui

Ahat [919]

Answer:

1/8

Step-by-step explanation:

P(nectarine) = number of nectarines / total

=2/16

= 1/8

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3 years ago