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3 years ago

Which expression is equivalent to 15n−24?

1 answer:

6 0

Hi!

To solve this, find the GCM (greatest common multiple) of 15 and 24.

We can do this by finding the prime factorization.

15/3 = 5
3·5

24/2 = 12
12/2 = 6
6/2 = 3
2·2·2·3

Both prime factorizations have the number 3 in common. So the GCM is 3.

Divide both numbers by 3.
15n/3 = 5n
-24/3 = -8

Since the GCM is 3, 3 goes outside the parentheses.

The numbers that go inside the parentheses are 5n-8

The answer is 3(5n-8)

You can check your answer by using the distribution property.
3·5n = 15n
3·(-8) = -24
15n-24

Hope this helps!

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Which figure accurately represents the Pythagorean theorem?

Elena-2011 [213]

Figure B is the answer!

The formula for the Pythagorean theorem is

A^2+B^2=C^2

In figure B the units are squared. Making it your answer.

-Seth

8 0

4 years ago

Hellp me solve this thanks

stellarik [79]

Answer:

c. 10 cm

Step-by-step explanation:

The parallel sides of trapizium are the bases so

base 1(B1) =9cm , base(B2)= 12cm

$area(a) = 105 {cm}^{2}$

the perpendicular distance means the height so lets find the height

area of trapizium= B1 + B2 × h

2

${105cm}^{2}(the \: given \: area) = \frac{9cm(the \: given \: base) + 12cm(the \: given \: base)}{2} \times h$

${105cm}^{2} = \frac{21cm}{2} \times h$

now we crisscross

${105cm}^{2} \times 2 = 21cm \times h$

${210cm}^{2} = 21cm \times h$

$\frac{ {210cm}^{2} }{21cm} = \frac{21cm \: }{21cm} \times h$

h = 10 cm

hope u like it ‍❤️‍‍❤️‍‍❤️‍

For any question comment me

4 0

3 years ago

Y+2=1/3 (x+1) please can you help

miskamm [114]

Equation:

y + 2 = 1/3(x+1)

Assuming you are solving for Y:

y + 2 = 1/3(x) + 1/3(1)

(y + 2) - 2 = (1/3x + 1/3) - 2

y = 1/3x + 1/3 - 2

y = 1/3x - 5/3

7 0

3 years ago

The measure of the angle

miv72 [106K]

First, we know this diagram consists of two horizontal lines cut by a transversal line. Therefore, we know that the given angle that measures 113° and the angle we want to find are alternate interior angles. Since all alternate interior angles are equal, we know the unknown angle must also be 113°.

I hope this helps.

5 0

3 years ago

Read 2 more answers

Find the centre and radius for this circle , x^2+y^2=25

aliya0001 [1]

Answer:

centre = (0, 0 ), radius = 5

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 25 ← is in this form

with centre = (0, 0 ) and r = $\sqrt{25}$ = 5