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gizmo_the_mogwai [7]
2 years ago
5

Sec6A - tan6A = 1+3tan2A.sec2A

Mathematics
1 answer:
larisa [96]2 years ago
6 0

sec ^6 A−tan ^6A=(1+tan ^2A−tan ^2 A)(1+tan ^4

A+2tan ^2 A+tan ^2 A+tan ^4 A+tan ^4 A)

sec ^6 A−tan ^6 A=1+3tan ^2 A+3tan ^4A

L.H.S. = R.H.S.

Hence proved

Step-by-step explanation:

♡´・ᴗ・`♡

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A line passes through the point (-4, -8) and has a slope of 5/2 write an equation in slope intercept form for this line
Tju [1.3M]

Answer:

y = 5x/2 + 2

Step-by-step explanation:

We know the equation for slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Since we have the coordinates of one point on this line and the slope, we can substitute that in and find b first:

y = mx + b

-8 = 5/2(-4) + b

-8 = -10 + b

b = 2

So we can use the slope and this y intercept we found to plug back into the equation:

y = mx + b

y = 5x/2 + 2

4 0
3 years ago
You want to have $25,000 for a down payment on a house 6 years from now. if you can earn 6.5 percent, compounded annually, on yo
STatiana [176]
Use compound interest formula:
Future value, F 
25000=P(1+i)^n
where
P=present value to be found
i=annual interest rate = 0.065
n=number of years = 6
so
25000=P(1.065)^6
=>
P=(25000/1.065^6)=$17133.353
6 0
3 years ago
A rectangular carpet measures 12 m by 5 m.
Zepler [3.9K]

Answer:

\frac{1}{15}

Step-by-step explanation:

Area of the Rectangular Carpet=12*5=60m²

Area of the Square rug=2*2=4m²

Expressing the area of the rug as a fraction of the total area of the carpet, we have:

\frac{\text{Area of Rug}}{\text{Area of Carpet}}=\frac{4}{60}\\=\frac{1}{15}.

The fraction of the carpet that is covered by the rug is \frac{1}{15}.

8 0
3 years ago
What are the values of x and y if you answer is not a whole number write it as a decimal and round if neccasasry
den301095 [7]

a) 3x + 5y =  26  

b) 2x + 2y = 12

First, we need to find a way to equate either the x terms or the y terms in each equation. a)  6x + 10y = 52

                          b) 6x + 6y = 36

Then take equation b) from the equation a) to eliminate the x component.

a) 6x + 10y = 52

- b) 6x + 6y = 36

   0x    + 4y = 16

            y = 4 ?

Then substitute the value of y into either equation to find the value of x.

b) 2x + 2y = 12

   2x + (2x4) =12

   2x + 8 = 12

   2x = 4

   x = 2

I hope this new information i read helps you maybe understand it and as an example!

5 0
3 years ago
7227=7272+7272+7282=
Dmitriy789 [7]

Answer: Uhhhhhh

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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