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3 years ago

True or false. sin(a-b) = -sin(b-a). explain. ...?

1 answer:

5 0

It's true according to the trigonometric circle. There's how it looks in details: sin(a−b)=sin(−(b−a))=−sin(b−a)

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Melinda is running in gym class. She has 45 minutes and needs to run 6 miles. Write an inequality to find the amount of time she

Anettt [7]

45 is less than or equal to 6.

6 0

3 years ago

A farmer wants to enclose a rectangular field that borders a river with 400 feet of fencing material. if the farmer does not fen

ICE Princess25 [194]

Let each side perpendicular to the river be "x".Then the side parallel to the river is "400-2x".
The formula for Area = width*length
A(x) = x(400-2x)
A(x) = 400x - 2x^2
You have a quadratic with a = -2 and b = 400
Maximum Area occurs where x = -b/2a = -400/(2*-2) = 100 ft. (width)
length = 400-2x = 400-2*100 = 200 ft (length)

3 0

3 years ago

2. Which of the following systems of inequalities represents the graph?

Rom4ik [11]

Answer:

Option: D is the correct answer.

D) –2x + y ≥ 4

x + y < 2

Step-by-step explanation:

We are asked to find the linear inequality that represents the following graph.

Clearly from the graph we could observe that one line is dotted and the other is solid line.

i.e. one inequality is strict while the other is a inequality with equality sign.

Dashed line:

It passes through (0,2) and (2,0).

Hence, the equation of line is:

$y-2=\dfrac{0-2}{2-0}\times (x-0)\\\\\y-2=\dfrac{-2}{2}\times x\\\\y-2=-x\\\\x+y=2$

As the shaded region is towards the origin.

Hence, the inequality will be:

x+y<2.

Solid line:

The line passes through (-2,0) and (0,4).

hence equation of line is:

$y-0=\dfrac{4-0}{0-(-2)}\times (x+2)\\\\$

i.e

$y=\dfrac{4}{2}\times (x+2)\\\\y=2\times (x+2)\\\\y=2x+4\\\\-2x+y=4$

Now, as the shaded region is away from the origin hence the inequality which will be used is:

$-2x+y\geq 4$

Hence, option: D is the correct answer.

D. –2x + y ≥ 4

x + y < 2

8 0

3 years ago

Read 2 more answers

Solve 13=d÷6 .Plz answer ASAP

maw [93]

Hi love...

The correct answer after solving for d is D=78. That’s a quick answer, but I can give you steps on how to solve.

1. Simplify both sides of the equation

2. Isolate the variable

3. Simplify

Then you’d have the answer!

Please let me know if you need further assistance! Have a jolly evening.
~Brooke❤️

7 0

3 years ago

What's the 7th number of pi ???

maks197457 [2]

3.14159265359
So the 7th number would be 2.

4 0

3 years ago

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