I need help I would really thank wheeler answers this for me

Mathematics

1 answer:

gavmur [86]3 years ago

3 0

It helps immensely if you know your times tables.

a) 36 = 6*6 = 2*3*2*3 = 2^2*3^2

b) 45 = 5*9 = 5*3*3 = 3^2*5

c) 2 is not a common factor; 3^2 is a common factor; 5 is not a common factor. The greatest common factor is 3^2 = 9.

d) The least common multiple can be found a couple of ways.

.. 1) the product of the distinct factors to their highest powers
.. .. .. 2^2 * 3^2 * 5 = 180

.. 2) the product of the numbers divided by their greatest common factor.
.. .. .. 36 * 45 / 9 = 180

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If a 200 N net force acts on a 500 grams car, what will the acceleration of the car be?

ladessa [460]

Answer:

The acceleration of the car will be 400 m/s².

Step-by-step explanation:

The acceleration of the car can be found using Newton second law:

$F = ma$

Where:

F: is the net force = 200 N

m: is the mass = 500 g

a: is the acceleration =?

Then, the acceleration will be:

$a = \frac{F}{m} = \frac{200 N}{500 g*\frac{1 kg}{1000 g}} = 400 m/s^{2}$

Therefore, the acceleration of the car will be 400 m/s².

I hope it helps you!

4 0

2 years ago

What is the value of 1 over 2 x+3.4y when x=3 and y = 4?

gavmur [86]

Answer:

The value of the given expression is 27.1

Step-by-step explanation:

We are given an expression of two variable x and y.

We need to find the value of expression at x = 3 and y = 4

So first put x = 3 and y = 4 into expression and simplify

1/2 x 3 (3) + 3.4 x 4

➡️ 1/2 x 27 + 13.6

➡️ 27/2 + 13.6

➡️ 13.5 + 13.6

Now, add both of the numbers together. ( as an addition problem)

Therefore, when you ad the 2 together, you get the total of 27.1

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2 years ago

Find all the integers,b, that make up the trinomial x2 + bx + 10 factorable.

KonstantinChe [14]

By the fundamental theorem of algebra, we can write

$x^2+bx+10=(x-r_1)(x-r_2)$

Expanding the right hand side, we get

$x^2+bx+10=x^2-(r_1+r_2)x+r_1r_2\implies\begin{cases}r_1+r_2=-b\\r_1r_2=10\end{cases}$

We want $b$ to be an integer, which means $r_1,r_2$ must also be integers. This means $r_1,r_2$ must be factors of 10. There are several possibilities: