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hjlf
3 years ago
13

Of a line passes through the points (1, 2) and (5, 3) the equation of the line is...

Mathematics
1 answer:
Ksju [112]3 years ago
4 0

Answer:

y=1/4x+7/4

Step-by-step explanation:

i think its right

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I don’t know where to start with this problem
elixir [45]

Answer:

√(4/5)

Step-by-step explanation:

First, let's use reflection property to find tan θ.

tan(-θ) = 1/2

-tan θ = 1/2

tan θ = -1/2

Since tan θ < 0 and sec θ > 0, θ must be in the fourth quadrant.

Now let's look at the problem we need to solve:

sin(5π/2 + θ)

Use angle sum formula:

sin(5π/2) cos θ + sin θ cos(5π/2)

Sine and cosine have periods of 2π, so:

sin(π/2) cos θ + sin θ cos(π/2)

Evaluate:

(1) cos θ + sin θ (0)

cos θ

We need to write this in terms of tan θ.  We can use Pythagorean identity:

1 + tan² θ = sec² θ

1 + tan² θ = (1 / cos θ)²

±√(1 + tan² θ) = 1 / cos θ

cos θ = ±1 / √(1 + tan² θ)

Plugging in:

cos θ = ±1 / √(1 + (-1/2)²)

cos θ = ±1 / √(1 + 1/4)

cos θ = ±1 / √(5/4)

cos θ = ±√(4/5)

Since θ is in the fourth quadrant, cos θ > 0.  So:

cos θ = √(4/5)

Or, written in proper form:

cos θ = (2√5) / 5

4 0
3 years ago
A number has the digits 8,4 and 3 to the nearest 10 the number rounds 440 what's the number ?
Anastaziya [24]
It has to be 438 because any number that is 5 or higher must be rounded up so 438 could be rounded up to 440
7 0
3 years ago
A bottle filled with juice weighs 8 pounds. One morning, George drank 2/3 of the juice in the filled bottle. The bottle and the
Marysya12 [62]
The remaining weight of the empty bottle is 0.5 because each third of the bottle weighs 2.5 pounds and of the remaining juice and the bottle was 3 pounds 2.5 subtracted from 3 is 0.5
8 0
3 years ago
The difference of a number and 8 is no more then 13
skad [1K]

x - 8 = </= 13

x could be from 9 to 21

6 0
3 years ago
Find the average range. Round the mean and the average range to the nearest tenth. (Show all your work on scratch paper, then en
NISA [10]
3, 12, 15, 25, 30, 40The range is the difference between the greatest and smallest values:
range = 40 - 3 = 37

Thee average is the sum of elements divided by the number of elements:
average = (<span>3 + 12 + 15 + 25 + 30 + 40</span>)/6
average = 125/6 = 20.83
4 0
3 years ago
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