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Sveta_85 [38]
2 years ago
13

Find the equation of the line shown.

Mathematics
1 answer:
pishuonlain [190]2 years ago
3 0

Answer:

y = -2x + 9

Step-by-step explanation:

I'm going to use the points

(1,7) and (4,1)

1-7/4-1 = -2 = m

y - 7 = -2 (x - 1)

y - 7 = -2x + 2

y = -2x + 9

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AC = <br> Round your answer to the nearest hundredth.
dusya [7]

Answer:

AC ≈ 5.03

Step-by-step explanation:

We can solve the problem above using the trigonometric ratio, they are;

SOH CAH TOA

sin Ф = opposite / hypotenuse

cosФ= adjacent/ hypotenuse

tan Ф = opposite / adjacent

From the diagram above, in reference to angle B;

opposite =AC     and   adjacent =BC

Since we have opposite and adjacent, the best formula to use is

tanФ = opposite / adjacent

tan B = AC  / BC

tan 40 =  AC/ 6

Multiply both-side of the equation by 6

6× tan 40   =  AC/ 6  ×  6

At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC

6×tan 40 = AC

5.034598  = AC

AC ≈ 5.03   to the nearest hundredths

4 0
3 years ago
Given F(x)=x-7 and g(x)=x squared find g(f(4))
andrezito [222]

Answer:

g(f(4)) = -3

Step-by-step explanation:

f(x)=x-7

g(x) = x

g(f(4))

f(4) = 4-7

f(4) = -3

g(-3) = -3

5 0
3 years ago
Alexander was hired for $27,176.00 per year.<br> How much does Alexander receive per week?
Assoli18 [71]

Answer:

521.183133274

Step-by-step explanation:

4 0
3 years ago
2. Water is leaking from a faucet at a constant rate of 1/3 gallon per minute.
Cloud [144]

Answer:

W = \frac{1}{3}t

20 gallons of water is leaked after an hour.

Step-by-step explanation:

Water is leaking at a constant rate of 1/3 gallon per minute.

a) We have to write a linear equation in two variables that show the amount of water, w, in gallons, that is leaked from the faucet after t minutes.

So, the equation is W = \frac{1}{3}t ......... (1) (Answer)

b) Now, if t = 1 hour i.e. 60 minutes, then from equation (1) we can write

W = \frac{1}{3}\times 60 = 20 gallons.

Therefore, 20 gallons of water is leaked after an hour. (Answer)

5 0
3 years ago
For what values of b will F(x) = logbx be a decreasing function?
Anastasy [175]

Answer:

It is a decreasing function for 0 < b < 1.

Step-by-step explanation:

Logarithm function:

The logarithm function is given by:

F(x) = \log_{b}{(x)}

The base b determines if the function increases or decreases.

For 0 < b < 1, the function decreases.

For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.

3 0
3 years ago
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