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3 years ago

Consider the function y = -2-3cos (x+pi). What effect does the -2 have on the basic graph

Mathematics

1 answer:

Elenna [48]3 years ago

5 0

ANSWER

-2 shift the graph of the basic function down by 2 units.

EXPLANATION

The given cosine function is:

$y = - 2 - 3 \cos(x + \pi)$

This equation can be rewritten as:

$y = - 3 \cos(x + \pi) + - 2$

We compare this to

$y = a \cos(bx + c) + d$

The effect d has on the graph is that, it shifts the graph up by d units.

If d is negative the graph shifts down by d units.

Since d=-2, the graph will shift down by 2 units.

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Which set of numbers below DO NOT make a triangle?<br> 0 7,7,7<br> O 6,3,3<br> 0 3,4,5<br> O 5, 11,7

Hoochie [10]

Answer:

3,4,5

Step-by-step explanation:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle therefore 3,4,5 is not triangle.

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3 years ago

Csc x= -√2 for π≤x≤3π/2

love history [14]

Answer:

Step-by-step explanation:

We can write this as Sinx by "flipping" the $-\sqrt{2}$ .

So we will have: $Sin(x)=-\frac{1}{\sqrt{2} }$

From basic trigonometry, we know the value of $\frac{1}{\sqrt{2}}$ of sine is of the angle $\frac{\pi}{4}$

<em>But when is sine negative? </em>Either in 3rd or 4th quadrant. But the answer has to be between 0 and $\frac{3\pi}{2}$ , <em>so we disregard 4th quadrant.</em>

<em />

<em>To get the angle in 3rd quadrant, we add π to the acute angle of the first quadrant (which is π/4 in our case).</em><u><em> Thus we have:</em></u>

$\frac{\pi}{4}+\pi\\=\frac{\pi +4\pi}{4}\\=\frac{5\pi}{4}$

A is the right answer.

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3 years ago

Need answer ASAP!!!!!

MissTica

Answer:

30/42 = 10/14 = 5/7

Step-by-step explanation:

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3 years ago

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Sarah Wiggum would like to make a single investment and have $1.7 million at the time of her retirement in 34 years. She has

vovangra [49]

Answer:

Sarah has to invest $502,958.58 today.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$