Verify the identity. tan^5x = tan^3xsec^2x -tan^3x

Sloan [31]

Step-by-step explanation:

$-4x - 6y = 6$

$4x + 6y = -4$

To solve a system of equations, we can add the two equations and solve for one of the remaining variables -- let's try to eliminate the $x$ variable when we add the two equations together.

Right now, there's a $-4x$ term in the first equation, and a $4x$ term in the second equation, so if we add those together, we'll be able to eliminate the $x$ variable altogether and solve for $y$ .

However, when we also have a $-6y$ term in the first equation and $6y$ term in the second equation, so adding these together will also eliminate the $y$ term, leaving a $0$ on the left-hand side of the equation.

If we add the two numbers on the right side of the equation, we get $-2$ , which does not equal $0$ , meaning there are no solutions to this system of equations.

3 0

3 years ago

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If 12x+8 is less than 6,what is the value of 8x

marissa [1.9K]

I think it’s 4 but not sure

3 0

3 years ago

Help!! Lots of points

murzikaleks [220]

$\frac{ {5}^{2} }{ {2}^{2} } = {( \frac{5}{2}) }^{2}$
Since they are both squared.

Evaluating 5^2 and 2^2 and finding the quotient also works.

$\frac{ {5}^{2} }{ {2}^{2} } = \frac{5 \times 5}{2 \times 2} = \frac{25}{4} = 6.25\\ \frac{ {5}^{2} }{ {2}^{2} } = {( \frac{5}{2} )}^{2} = 2.5 \times 2.5 = 6.25$
The third option, "Evaluate 5^2 and 2^2 ...," and the last option, "Rewrite the expression as (5/2)^2 ...," are the correct choices.

3 0

3 years ago

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1 2 3 4 5 6 7 8 9 10 11 12 13

Rina8888 [55]

Answer:

The mean will increase more than the median, but both will increase.

[third option listed]

Step-by-step explanation:

the median of a data set is the number in the middle [when listed from lowest to highest in value]

1 2 3 4 5 6 7 8 9 10 11 12 13

is the current median

let's consider what adding 12 would mean--it would mean that we move the median slightly higher [further along in the data set] because there are more numbers (but let's try this out to confirm:)

1 2 3 4 5 6 7 8 9 10 11 12 12 13

[if a median placement is shared between two numbers, the mean/average of those two numbers is taken, and that is considered to be the median]

so, 7.5 is the current median

(this is an increase of 0.5)

--

the mean of a data set is what we commonly refer to as the "average"

[you find this value by adding all of the numbers in the data set together and dividing by the number of terms in the data set]

1 2 3 4 5 6 7 8 9 10 11 12 13

mean of original data set:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 [= 91]

_______________________________________

13

[91 ÷ 13 = 7]

because our number is greater than our original mean [12 > 7], we know that the mean must increase:

[91 + 12 = 103]

[103 ÷ 14 ≈ 9.36]

[we had an increase of 2.36]

so, median increased by 0.5, mean increased by 2.36

so, both values increased, whilst the mean increased by more than the median [as to be expected]

you could also express this as "The mean will increase more than the median, but both will increase." [third option listed]

hope this helps!! :)

3 0

2 years ago

Find the area of a triangle measuring 25 feet long by 8 feet wide

nata0808 [166]

Triangle area= b*h/2

Plug in the values:
25*8/2
200/2
100

Final answer: 100 ft^2

5 0

3 years ago