All categories

3 years ago

Greatest common factor of 25 and 35

1 answer:

5 0

Lets first list the factors for 25 and 35.

Factors for 25: 1, 5, 25

Factors for 35: 1, 5, 7, 35

A common factor means factors that are in common

Common factors: 1, 5

Greatest common factor is 5

You might be interested in

Solve the equation for all real values of x. cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

Step-by-step explanation:

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

3 years ago

Simplify (5^0+4^-0•5)^2

TEA [102]

Answer:

anything raised to the power of zero= 1

(1+1/4^½)²

(1 + 1/2)²

(3/2)²

9/4

=2.25

7 0

2 years ago

12, 3.1.52 If f(x) = x and g(x) = 2x³, find f[g(x)], and g[f(x)]

anastassius [24]

Given that $f(x) = x$ and $g(x) = 2x^3$ , we have

$f(g(x)) = f(2x^3) = 2x^3$

and

$g(f(x)) = g(x) = 2x^3$

5 0

2 years ago

In how many ways could a club of 29 appoint a committee of 4 people?

qwelly [4]

Answer:

7.25

Step-by-step explanation:

8 0

2 years ago

The equation y−5=−2(x−3) is in point-slope form. Which shows this equation in slope-intercept form?

MAXImum [283]

y - 5 = -2(x - 3)

Distribute -2.

y - 5 = -2x + 6

Add 5 to both sides.

y = -2x + 11

B) y = -2x + 11

4 0

3 years ago