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2 years ago

What is the equation of a line passing through 1,2 and -2,5

Mathematics

1 answer:

AleksAgata [21]2 years ago

3 0

Answer:

y=-1x+3

Step-by-step explanation:

2-5/1+2

-3/3

-1

y=-1x+b

2=-1+b

b=3

y=-1x+3

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Verify the identity. cos (x - y) - cos (x + y) = 2 sin x sin y

ra1l [238]

It is already in identity.
cos (x - y) - cos (x + y) = 2 sin(x) sin (y)

8 0

2 years ago

Twenty times a square of a positive integer plus 50 equals negative 40 times the square of the positive integer plus one-hundred

rusak2 [61]

20x^2+50 = -40x^2+110x [ Taking x as the unknown positive integer ]

4 0

2 years ago

50 km into centimeter

zubka84 [21]

Answer:

5,000,000 cm

Step-by-step explanation:

1 km=100000cm

we just multiply 50km x 100000,which we get 5 million cm

5 0

2 years ago

Read 2 more answers

Prove divisibility 45^45·15^15 by 75^30

Anuta_ua [19.1K]

Answer:

$3^{75}$

Step-by-step explanation:

We are asked to divide our given fraction: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(3*15)^{45}=3^{45}*15^{45}$

$75^{30}=(5*15)^{30}=5^{30}*15^{30}$

Substituting these values in our division problem we will get,

$\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}$

$\frac{3^{45}*15^{60}}{5^{30}*15^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{45}*15^{60-30}}{5^{30}}$

$\frac{3^{45}*15^{30}}{5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{3^{45}*(3*5)^{30}}{5^{30}}$

$\frac{3^{45}*3^{30}*5^{30}}{5^{30}}$

Upon canceling out $5^{30}$ we will get,

$3^{45}*3^{30}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$3^{45+30}$

$3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

8 0

2 years ago

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. if one such class is r

rodikova [14]

The distribution is uniform for 50 ≤ x ≤ 52.
where x = minutes per class.

The probability P(x < 50.6) is the shaded portion of the distribution.
Its value is
(50.6 - 50)/(52 - 50) = 0.3

Answer:
The probability is 0.3 or 30%

7 0

3 years ago