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3 years ago

What are all of the prime factors of 35?

Mathematics

1 answer:

neonofarm [45]3 years ago

5 0

Answer:

Well, the only prime factor of 35 would be 5 × 7.

Step-by-step explanation:

For addition, all of the number 35's divisors would be:

1, 5, 7, 35.

Which means, 5 and 7 are the only numbers that 35 can be divided to besides 1 and itself.

Hope this helps!

You might be interested in

Find the value of 7w-2 given that - 2w-4=6 .

Vesnalui [34]

Answer:

w= -5

Step-by-step explanation:

-2w - 4 = 6

-2w - 4 + 4 = 6 + 4
-2w = 10

Isolate "w":

$\frac{-2w}{-2} = \frac{10}{-2}$

w = -5

4 0

3 years ago

What is the area of triangle DEF?

FrozenT [24]

Answer:

$A=2\sqrt{14}\ units^2$

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

$A=\sqrt{s(s-a)(s-b)(s-c)}$

where

a, b and c are the length sides of triangle

s is the semi-perimeter of triangle

we have

$a=5\ units,b=6\ units,c=3\ units$

<em>Find the semi-perimeter s </em>

s= $\frac{5+6+3}{2}=7\ units$

Find the area of triangle

$A=\sqrt{7(7-5)(7-6)(7-3)}$

$A=\sqrt{7(2)(1)(4)}$

$A=\sqrt{56}\ units^2$

simplify

$A=2\sqrt{14}\ units^2$

3 0

3 years ago

Y= - x+2 Y=3x-4<br> Estimate the solution to the system of equations

IrinaVladis [17]

Answer:

$x=\frac{3}{2}\\ y=\frac{1}{2}$

Step-by-step explanation:

$y=-x+2\\y=3x-4$

Let's solve one of them for x.

$y=3x-4$

Add 4

$y+4=3x$

Divide by 3.

$x=\frac{y+4}{3}$

Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.

$x=\frac{y+4}{3}$

$x=\frac{(-x+2)+4}{3}$

$x=\frac{-x+2+4}{3}$

$x=\frac{-x+6}{3}$

Multiply by 3 to get rid of the denominator.

$3x=-x+6$

add x

$3x+x=6$

Combine like terms;

$4x=6$

Divide by 4.

$x=\frac{6}{4}$

Simplify.

$x=\frac{3}{2}$

Now that you found the value of x, replace it in any of the equations to find y.

$y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2$

$y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}$

Proof:

$y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4$

$\frac{1}{2}=\frac{9-4*2}{2}$

$\frac{1}{2}=\frac{9-8}{2}$

$\frac{1}{2}=\frac{1}{2}$

8 0

3 years ago

Which theorem would be used to prove the triangles below as congruent?

Stells [14]

Answer:

A: HL

Step-by-step explanation:

The hypotenuses of these right triangles are marked congruent.

One leg of these right triangles is marked congruent.

The HL theorem applies.

4 0

2 years ago

What is the length of the missing leg

Shtirlitz [24]

Answer:

Step-by-step explanation:

Using the pythagorean theorem, we know that a^2+ b^2=c^2

In our case, we know b, which is 5 and c which is 13.

If we plug that into the equation, we get a^2+ 5^2 = 13^2

Next, we simplify the equation. a^2 + 25 = 169

Then we subtract 25 from 169. 169 - 25 = 144.

Lastly, we do the square root of 144 and we get 12 which is the missing side.

7 0

3 years ago

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