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3 years ago

Which is the correct label of the parallel lines?

Mathematics

1 answer:

liq [111]3 years ago

6 0

Answer:

a ∥ b

Step-by-step explanation:

The symbol "∥" means parallel lines.

Taking a look at the figure above, we have 2 parallel lines, labelled a and b.

A and B are two points on line "a", forming segment AB. However, segment AB is part of line "a".

Same applies to line "b", which has 2 points forming segment CD.

Therefore, the correct label if the parallel lines is a ∥ b

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Help ASAP!! Using the graphed function above, find the following

Alenkinab [10]

Answer:

Maximum: 1, Minimum: -3, Midline y = -1, Amplitude = 4, Period = $\pi$ , Frequency $\displaystyle =\frac{1}{\pi}$ , equation : $f(x)=-4cos(2x)+1$

Step-by-step explanation:

Sinusoid Functions

It refers to the oscillating functions like the sine or cosine which range from a minimum and maximum value periodically.

The graph shown can give us all the information we need to answer these questions:

Maximum: 1

Minimum: -3

The midline goes through the center value (mean) of the max and min values, i.e.

Equation of the midline:

$\displaystyle y=\frac{1-3}{2}=-1$

Amplitude is the difference between the maximum and minimum values

$A=1-(-3)=4$

The period is the time it takes to complete a cycle. We can see the minimum value is first reached at x=0 and next at $x=\pi$

Thus the period is

$T=\pi$

The frequency is the reciprocal of the period:

$\displaystyle f=\frac{1}{T}=\frac{1}{\pi}$

The angular frequency is

$\displaystyle w=2\pi f=\frac{2\pi }{\pi}=2$

The equation of the function is a negative cosine (since it starts at the minimum) or a shifted sine or cosine. We'll choose the negative cosine, knowing all the parameters:

$f(x)=-4cos(2x)+1$

5 0

3 years ago

I can't figure it out. 2x+2y=2 -4x+4y=12

koban [17]

Answer:

how to solve 2x+2y=2 , -4x+4y=12

this is solving equations using substitution .... i have ALOT more but i juss dnt get this stuff

2x + 2y = 2 -4x + 4y = 12

x + y = 1

x = 1 - y

-4x + 4y = 12

-4(1 - y) + 4y = 12

(-4 + 4y) + 4y = 12

-4 + 8y = 12

8y = 16

y = 2

2x + 2y = 2

2x + 2(2) = 2

2x + 4 = 2

2x = -2

x = -1

Check.

-4x + 4y = 12

-4(-1) + 4(2) = 12

4 + 8 = 12

Answer: x = -1 and y = 2

Step-by-step explanation:

6 0

2 years ago

Directions: Find the volume of each figure. Round to the nearest tenth if necessary.

balu736 [363]

Answer:

Step-by-step explanation:

square-based pyramid:

volume V = (⅓)b²h

= (⅓)7²·16

≅ 261.3 ft³

:::::

Can't help with question 3. I haven't learned triangle-based pyramids.

:::::

cone:

volume V = ⅓πr²h

= ⅓π17²·20

= 6052.8 yd³

:::::

can't help with question 7. Never did this kind of pyramid.

3 0

2 years ago

Maya deposits $5000 into a checking account that pays 0.75% annual interest compounded monthly. What will be the balance after 8

Nana76 [90]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 0.75\%\to \frac{0.75}{100}\dotfill &0.0075\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &8 \end{cases} \\\\\\ A=5000\left(1+\frac{0.0075}{12}\right)^{12\cdot 8}\implies A=5000(1.000625)^{96}\implies A\approx 5309.08$

5 0

2 years ago

Which expression can you substitute

valina [46]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:(30/19,2/19)

Equation Form: x=30/19, y=2/19

7 0

3 years ago