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3 years ago

Geometry math problem

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

Go -6 for x axis and -4 for y axis

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What is the length of the hypotenuse of a right triangle with legs of length 6 and 4 ?

liberstina [14]

Answer:

6²+4²=h²

36+16=h²

$\sqrt{52} = h \: \: \: \: \: \\ hyphotenuse \: is \: 2 \sqrt{13 \:} \\ or \: 7.2111$

6 0

3 years ago

Simplify: cos2x-cos4 all over sin2x + sin 4x

GrogVix [38]

Answer:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

Step-by-step explanation:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}$

Apply formula:

$\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$ and

$\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$

We get:

$=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}$

$=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}$

$=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}$

$=\frac{\sin\left(x\right)}{\cos\left(x\right)}$

$=\tan\left(x\right)$

Hence final answer is

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

6 0

3 years ago

PLSS helpp <br><br> btw have a nice day

Natali5045456 [20]

It’s the first one! The table shows X going up and Y going down, so the slope would be negative!

8 0

3 years ago

(4m-2) (m2 + 5m - 6)please fast

Masteriza [31]

Answer:

4m3+18m2−34m+12

Step-by-step explanation:

=(4m+−2)(m2+5m+−6)

=(4m)(m2)+(4m)(5m)+(4m)(−6)+(−2)(m2)+(−2)(5m)+(−2)(−6)

=4m3+20m2−24m−2m2−10m+12

3 0

3 years ago

Read 2 more answers

The following sequence of operations is done on a number. Multiply by 5, add 2, subtract 10, multiply by 2. The final result is

strojnjashka [21]

answer the original number is 6

(5x + 2 - 10) *2 = 44

10x + -16 = 44

10x = 60

x=6

4 0

3 years ago