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2 years ago

Which is an equation, in point-slope form, of a line that passes through the points (2,9) and (4,5)?

Mathematics

1 answer:

Elodia [21]2 years ago

5 0

Only two of them are the correct answers to this question.

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Let sin(−θ)=−3/5 and tanθ>0. What is the value of cos(−θ)?

Jobisdone [24]

Answer:

The value of Cos (-Ф) $\dfrac{\textrm 4}{\textrm 5}$ .

Step-by-step explanation:

Given Trigonometric function as :

sin( - Ф ) = $\frac{- 3}{5}$

- sin Ф = $\frac{- 3}{5}$

So, sin Ф = $\frac{ 3}{5}$

Now, as sin Ф = $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$

So , $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$ = $\frac{ 3}{5}$

So, perpendicular = 3

And hypotenuse = 5

Now,<u> From Pythagoras Theorem</u>

Base ² = Hypotenuse² - Perpendicular²

Or, Base ² = 5² - 3²

Or, Base ² = 25 - 9

Or, Base ² = 16

∴ Base = $\sqrt{16}$

I.e Base = 4

Now, Cos Ф = $\dfrac{\textrm base}{\textrm hypotenuse}$

So, Cos Ф = $\dfrac{\textrm 4}{\textrm 5}$

Now , Since

Cos ( - Ф ) = Cos Ф

So, Cos ( - Ф ) = Cos Ф = $\dfrac{\textrm 4}{\textrm 5}$

Hence The value of Cos (-Ф) $\dfrac{\textrm 4}{\textrm 5}$ . Answer

6 0

2 years ago

a leaf hangs from a branch 12 feet in the air. it falls to the ground at a rate of 0.25 feet per second. which graph could repre

Kipish [7]

For this case we have an equation of the form:
$h (t) = (1/2) * (a) * (t ^ 2) + v0 * t + h0
$
Where,
h0: initial height
v0: initial speed
a: acceleration
Substituting values we have:
$h (t) = (1/2) * (- 32) * (t ^ 2) + 0.25 * t + 12
$
Rewriting we have:
$h (t) = -16t ^ 2 + 0.25 * t + 12
$
Note: see attached image
Answer:
$h (t) = -16t ^ 2 + 0.25 * t + 12$

7 0

2 years ago

If the function graphed is f(x), find f(1).

Crazy boy [7]

Locate 1 on the x axis. This is the horizontal number line.

Draw a vertical line through 1 on the x axis. Extend this vertical line as far up and down as you can.

Notice how the vertical line crosses the blue curve. Mark this point. Then draw a horizontal line from this point to the y axis. The horizontal line will touch -4 on the y axis. So that means the point (1,-4) is on the curve.

If the input it is x = 1, then the output is y = -4

So that's why the answer is choice A

7 0

3 years ago

Evaluate <br>1.3 + 12 + 2.1 =

GenaCL600 [577]

Answer:

The answer is 15.4

Step-by-step explanation:

hope this helps

1.3 + 12 =13.3+2.1=15.4

3 0

3 years ago

Didnt know wat subject it goes in is 98% of what you learn a waste

gregori [183]

Answer:

eh i mean sometimes thats a very broad statement though

5 0

3 years ago

Read 2 more answers