Help me please thank you

Following Quotient expression

IRINA_888 [86]

Answer:

Second choice

and the last 2 choices

Step-by-step explanation:

32m/16m=2 and our constant is 3 not 2 so not choice A

4m^2/2m=2m so possible 6m/2m=3 so choice B

4m/2m=2 and our constant is 3 not 2 so not choice C

10m/5m=2 same reason as A and C

10m^2/5m=2m possible...15m/5m=3 so choice E

32m^2/16m=2m and 48m/16m=3 so this last choice too

8 0

3 years ago

Using the factorised trinomial <img src="https://tex.z-dn.net/?f=%28n-2%29%284n-7%29" id="TexFormula1" title="(n-2)(4n-7)" alt="

andrew-mc [135]

4n² - 15n + 14 is always the product of two numbers, for it to be prime number, one of these factors must be either 1 or -1.

Case n - 2 = 1
That would be n = 3
Then 4n² - 15n + 14 = 5 , which is prime.

Case n - 2 = -1
That would be n = 1
Then 4n² - 15n + 14 = 3, which is also prime.

Case 4n - 7 = 1
That would be n = 2 and that makes other factor (n-2) zero so it's not prime

Case 4n-7 = -1
That would be n = 3/2 which is not integer, so 4n² - 15n + 14 will not be interger.

For any other n values, 4n² - 15n + 14 will be composite number since it is product of two factors.

Therefore we are left with n = 1 and n = 3; only two values of n.

5 0

2 years ago

Find the value of k if the distance between (2,k) and (6,7) is 4√2 unit

andreyandreev [35.5K]

Answer:

k = 3

Step-by-step explanation:

We have the distance formula: $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . We can plug in $4\sqrt{2}$ = d, x2 = 6, x1=2, y2 = 7, y1 = k.

Then, we can solve the question using some algebra to find that k = 3.

Edit: Here is a step by step:

$4\sqrt{2} = \sqrt{(6-2)^2 + (7-k)^2}\\$

$(4\sqrt{2})^2 = (6-2)^2 + (7-k)^2$

$32 = (4)^2 + (7-k)^2$

$32 = 16 + (7-k)^2$

$32 - 16 = (7-k)^2$

$16 = (7-k)^2$

$\sqrt{16} = (7-k)$

$4 = 7-k$

$k = 3$

4 0

3 years ago

Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x

Y_Kistochka [10]

When the ball hit the ground, the height of the ball will be zero. So using the value of h(x) as zero in the given equation, we can find the time in which the ball will hit the ground.

$0=-(x-2)^{2}+16 \\ \\ 
(x-2)^{2}=16 \\ \\ 
x-2= \sqrt{16} \\ \\ 
x-2=4 \\ \\ 
x=6$

This means the ball will hit the ground 6 seconds after Amir threw it

6 0

3 years ago

Read 2 more answers

Find the value for β that makes cosβ = sin15 true.

Gemiola [76]

Answer:

Step-by-step explanation:

This is an equation for which you need to solve for the value of the missing angle beta.

$cos\beta =sin(15)$

sin(15) has a decimal answer that you will find on your calculator. Finding that value makes this equation then

cosβ = .2588190451

Now use the 2nd button and then the cos button to find the angle that has a cos of that decimal. When you hit 2nd then cos, you should see this on your screen:

cos⁻¹ (

After that open parenthesis, enter you decimal then hit the enter button to find the angle. You should get 75, which is Choice B.

8 0

3 years ago