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3 years ago

For f (x)= -4+2, find f (x) when x=-1

Mathematics

1 answer:

Sedaia [141]3 years ago

4 0

-4+2=-2
and that equation is equal to f(x)
so plug in the x
f(-1)=-2
2 times -1 = -2

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Root 3 cosec140° - sec140°=4 prove that

Lorico [155]

Answer:

Step-by-step explanation:

We are to show that $\sqrt{3} cosec140^{0} - sec140^{0} = 4\\$

Proof:

From trigonometry identity;

$cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}$

$\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\$

From trigonometry, 2sinAcosA = Sin2A

$= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}$

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

$\frac{4(sin(420-140)) }{sin280}$

= $\frac{4sin280}{sin280}\\ = 4 \ Proved!$

3 0

3 years ago

To solve a system of equations, you can replace a ____________with an equal value or expression.

Ludmilka [50]

Answer:

Variable

Step-by-step explanation:

If you can substitute a unknown variable with another expression that is equal, you can then solve for another variable, and with that equal expression, solve for the first variable.

4 0

3 years ago

What is the percent of increase for a population that changed from 438,000 to 561,000?

BARSIC [14]

New number - original number

561,000 - 438,000 = 123,000.

Increased number divided by the original number

123,000 ÷ 438,000 = 0.28

Multiply by 100

0.28 x 100 = 28%

The percentage increase would be 28%

4 0

3 years ago

2. A manager used a coordinate grid to place her employees in the office.

MissTica

Idk if this is what you're looking for but...
Wendy's desk is at (-3,0)
Abu's desk is at (2,0)
Trey's desk is at (0,-4)
The Manager's desk is at (0,0) also known as the origin
Abu's desk is closest to the manager's desk because his desk is only 2 paces away from the managers on the x line

3 0

4 years ago

What is the scale factor in simplest terms? Any help is appreciated ty :)

VMariaS [17]

Answer:

1 2/3 units

Step-by-step explanation:

We have to divide 10/6 to find the difference between the two shapes.

10/6= 1 2/3

Since there is no unit here, then we can just write the answer as 1 2/3 units.

Hope this helped :)

8 0

4 years ago