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4 years ago

True or false 2,000 mm = 2 m5m = 550 cm3,400 mm = 34 cm7 dm = 700 mm

Mathematics

1 answer:

eimsori [14]4 years ago

5 0

True for #1. False for he rest of them.

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Simply (tan^2 x - sec^2 x)(sin^2 x + cos^2 x)

kati45 [8]

we can use pythagorean identieis

remember that $sin^2(x)+cos^2(x)=1$

also remember that $tan(x)=\frac{sin(x)}{cos{x}}$ and $sec(x)=\frac{1}{cos(x)}$

so if we take $sin^2(x)+cos^2(x)=1$ and divide both sides by $cos^2(x)$ we get

$\frac{sin^2(x)}{cos^2(x)}+\frac{cos^2(x)}{cos^2(x)}=\frac{1}{cos^2(x)}$

$(\frac{sin(x)}{cos(x)})^2+1=(\frac{1}{cos(x)})^2$

$tan^2(x)+1=sec^2(x)$

subtracting $1+sec^2(x)$ from both sides

$tan^2(x)-sec^2(x)=-1$

now subsitute into original problem

$\frac{tan^2(x)-sec^2(x)}{sin^2(x)+cos^2(x)}=$

$\frac{-1}{1}=$

$-1$

the answer is -1

6 0

3 years ago

Factor: 4b2−12b+9 A) (2b−3)2 B) (2b+3)2 C) (2b−3)(2b+3) D) (2b−9)(2b−1)

tatuchka [14]

Answer:

Step-by-step explanation:

(2b-3)^2 = (2b-3)(2b-3) = 4b^2-12b+9

7 0

4 years ago

Equation 1: x + 3y = 1

Shalnov [3]

Answer:

Step-by-step explanation:

You will eliminate y because 3y-3y=0

5 0

3 years ago

Find a cubic function with the given zeros. Square root of seven. , - Square root of seven. , -4

yan [13]

Answer:

$y= x^{3} +4x^{2}-7x-28$

Step-by-step explanation:

We have to find a cubic function of x whose zeros are at x = √7, x = -√7 and at x = -4.

Therefore, the factors of the function will be (x - √7), (x + √7), and (x + 4)

Hence, the equation will be y = (x - √7) (x + √7) (x + 4)

⇒ $y = (x^{2} -7)(x +4)$

⇒ $y= x^{3} +4x^{2}-7x-28$ (Answer)

8 0

3 years ago

Find the angle complementary to the angle 80°25

Viefleur [7K]

90 degrees 0 minutes is the same as 89 degrees 60 minutes.
89 degrees 60 minutes minus 80 degrees 25 minutes equals:
9 degrees 35 minutes.
-----
your answer is:
9 degrees 35 minutes

5 0

3 years ago