<h2>
Hello!</h2>
The answers are:
A.
and 
D.
and 
<h2>
Why?</h2>
To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.
We are given two fractions that are like fractions. Those fractions are:
Option A.
and
We have that:
So, we have that the pairs of numbers
and
Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.
Option D.
and
We have that:
So, we have that the pair of numbers
and
Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.
Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.
The other options are:
and
We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.
Hence, the answers are:
A.
and
D.
and
Have a nice day!
There’s this app called Socratic that you can use. It’s like this one but it’s a little different
Answer:
The tree is 16.25 m tall.
Step-by-step explanation:
Attached is a diagram that better explains the problem.
From the diagram we see that the distance between the top of the tree and the line of sight of the observer is x.
To find the height of the tree, we need to first find x and then add it to the height of the observers line of sight from the ground.
Using SOHCAHTOA trigonometric function:
tan(20) = x/39.2
=> x = 39.2 * tan(20)
x = 39.2 * 0.364
x = 14.27m
Hence, the height of the tree is:
(14.27 + 1.98)m
16.25m
The tree is 16.25 m tall.
Answer:
D
Step-by-step explanation:
log₂(x-4) = 4
Undo the log by raising 2 to both sides:
2^(log₂(x-4)) = 2^4
x - 4 = 2^4
x - 4 = 16
x = 20
Answer D.
Answer:
(4, 9) does not satisfy the equation
Step-by-step explanation:
Given the linear equation, y = x - 5, and the point, (4, 9):
We can determine whether (4, 9) is a solution to y = x - 5 by substituting their values into the equation.
x = 4, and y = 9:
y = x - 5
9 = 4 - 5
9 = -1 (False statement)
As demonstrated in our calculations, it turns out that (4, 9) does not satisfy the equation. Therefore, (4, 9) is <u><em>not</em></u> a solution to y = x - 5.
