We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.

We will use Pythagoras theorem to solve for KJ as:

$KJ^2=KM^2+MJ^2$

$KJ^2=6^2+3^2$

$KJ^2=36+9$

$KJ^2=45$

Now we will take positive square root on both sides:

$\sqrt{KJ^2}=\sqrt{45}$

$KJ=\sqrt{9\cdot 5}$

$KJ=3\sqrt{5}$

Therefore, the length of line segment KJ is $3\sqrt{5}$ and option D is the correct choice.

5 0

3 years ago

For which pairs of functions is (f * g) (x)?

Ronch [10]

Answer:

The pairs of functions that best represent the equation are f(x)=x² and g(x)=1/x

Step-by-step explanation:

For this problem, you will have to multiply each equation in the answer choices until you find the pair that has a product of x.

Let's start with the first answer choice.

(f * g)(x)

Now, we multiply these terms together.

x² * 1/x = x²/x

Now, divide x from x². When you are dividing exponents, the exponential numbers subtract. So, since there is no exponent on x, then we assume this exponent to be 1. So, when dividing you will subtract 1 from 2.

x²/x = x

So, the answer to the problem is answer choice A. These functions multiply together to get you a final product of x.

7 0

2 years ago

2) which of these is a one-step equation?

Lady_Fox [76]

I think it would be B ?? Because it’s the shortest one ‍♀️

4 0

2 years ago

Read 2 more answers

Vincent needs 20 inches of wood to makeOne shelf. How many feet of wood does Vincent need to make 6 shelves

butalik [34]

Answer:

10 feet

Step-by-step explanation:

Multiply 20 by 6 which will give the answer 120 (in inches).
Then convert 120(inches) to feet by dividing with 12.
The answer will be 10(feet) needed for six shelves.

20x6= 120

120/12=10

=10 ft

6 0

2 years ago