Apply the Pythagorean Theorem to find the distance between points B and C. A) 18 units B) 55 units C) 64 units D) 73 units
1 answer:
Answer:
Step-by-step explanation:
Notice that A, B, and C constitute the vertices of a right angle triangle, with the right angle at the vertex A.
If we count the number of squares separating B and A (one of the legs of the right angle triangle) we find 8 units.
If we count the number of squares separating C from A (the other leg of the right angle triangle), we get: 3 units.
Then, we apply the Pythagorean theorem to find that length of the triangle's hypotenuse which is the segment BC:
You might be interested in
<em><u>Convert to factored form is:</u></em>
<em><u>Solution:</u></em>
Given that,
We have to convert to factored form
Factored form means writing terms in multiplication. i.e as a product
From given,
Factor out x from above given expression
Here, the given equation is written as product of "x" and (x + 6)
Thus the factored form is found
Answer:
Ahh! What a classic: Systems of Equations!
So, if you don't know what a system of equations is, its basically two equations with two variables combined into a system.
So, let x=# of pigs
And also, Let y=# of chickens
Let's make our first equation!
This is because there are 13 animals in a barn.
So then, knowing that a pig has 4 legs and a chicken 2:
This is because there are 40 legs in total, and we multiply the variable because that's how many legs each creature has.
So, here is our system!
Through Substitution (the inputting of something instead of a variable):
Then, we input it into the next equation:
This means that there are 6 chickens, and by inputting it into the first equation:
So there you have it!
FYI there are 6 chickens and 7 pigs.
Hope this helps!
P.S. Stay Safe!