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4 years ago

Please help !! I would really appreciate it. brainliest will be given for best answer

Mathematics

1 answer:

faltersainse [42]4 years ago

7 0

Since A is (-7,-4) and C is (7,3) for the x value from a to c is 14 for the y value from a to c is 7

Do 14 x 2/7 which is 4

Do 7 x 2/7 which is 2

then add (-7+4,-4+2) which is (-3,-2)

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Simplify tan9x-tan5x / 1+tan9xtan5x<br> (SHOW WORK)

Charra [1.4K]

Answer:

The simplest form is tan(4x)

Step-by-step explanation:

* Lets revise the identity of the compound angles

- $tan(a+b)=\frac{tan(a)+tan(b)}{1-tan(a)tan(b)}$

- $tan(a-b)=\frac{tan(a)-tan(b)}{1+tan(a)tan(b)}$

* Lets solve the problem

- Let 9x = 5x + 4x

∴ tan(9x) = tan(5x + 4x)

- Use the rule of the compound angle

∵ $\frac{tan(9x)-tan(5x)}{1+tan(9x)tan(5x)}$ ⇒ (1)

∵ $tan(5x+4x)=\frac{tan(5x)+tan(4x)}{1-tan(5x)tan(4x)}$ ⇒ (2)

∵ tan(9x) = equation (2)

- Substitute (2) in (1)

∴ $\frac{\frac{tan(5x)+tan(4x)}{1-tan(5x)tan(4x)}-tan(5x)}{1+(\frac{tan(5x)+tan(4x)}{1-tan(5x)tan(4x)})tan(5x)}$

- Multiply up and down by (1 - tan(5x)tan(4x))

∴ $\frac{tan(5x)+tan(4x)-tan(5x)[1-tan(5x)tan(4x)]}{1-tan(5x)tan(4x)+tan(5x)[tan(5x)+tan(4x)]}$

- Simplify up and down

∴ $\frac{tan(5x)+tan(4x)-tan(5x)+tan^{2}(5x)tan(4x)}{1-tan(5x)tan(4x)+tan^{2}(5x)+tan(5x)tan(4x) }$

∴ $\frac{tan(4x)+tan^{2}(5x)tan(4x)}{[1+tan^{2}(5x)]}$

- Take tan(4x) as a common factor up

∴ $\frac{tan(4x)[1+tan^{2}(5x)]}{[1+tan^{2}(5x)]}$

- Cancel [1 + tan²(5x)] up and down

∴ The answer is tan(4x)

4 0

4 years ago

500 ml of yoghurt cost $6 | Calculate the cost of 1.5 litre of yoghurt

Fudgin [204]

1 litre = 1000 ml
500 ml =0.5 litre
0.5 litre = $6
1.5 litre = X

X = 9 ÷ 0.5 = 18

8 0

3 years ago

the scale on a map is 1 inch= 2.5 miles. two towns on th map are 6 inches apart. what is the actulal distance between the towns

gulaghasi [49]

Answer:

The answer would be 15 miles

Step-by-step explanation:

you set up a ratio and multiply 2.5 by 6

6 0

3 years ago

Change 8} to an<br> improper fraction.<br> [?

SSSSS [86.1K]

Answer: 17/2

Step-by-step explanation: 16 divided by 2 is eight and a half is left over so add it

Hope this helps go answer my question! :)

6 0

3 years ago

Read 2 more answers

Jason invests $1000 at a bank that offers 3% compounded annually. Write an equation to model the growth of the investment

MissTica

Y=1000*1.03^x is the correct compound recursive formula!

3 0

4 years ago