Answer:
no
Step-by-step explanation:
using the converse of Pythagoras' identity
If the square on the longest side is equal to the sum of the squares of the other 2 sides, then the triangle is right.
longest side = 50 ⇒ 50² = 2500
16² + 14² = 256 + 196 = 452
since 452 ≠ 2500 then the triangle is not right
Answer:
2 1/4 times
Step-by-step explanation:
A builder was building a fence. In the moring he worked 2/5 of an hour. In the afternoon he wirked for 9/10 of an hour. how many times as long in the morning did he work in the afternoon
Note that:
1 hour = 60 minutes
In the moring he worked 2/5 of an hour.
= 2/5 × 60 minutes
= 24 minutes
In the afternoon he worked for 9/10 of an hour
Hence:
9/10 × 60 minutes
= 54 minutes
How many times as long in the morning did he work in the afternoon?
This is calculated as number of minutes worked in the afternoon ÷ Number of minutes worked in the morning
= 54 minutes/24 minutes
= 2 6/24
= 2 1/4 times
<h3>
Answer: C) 4</h3>
============================
Work Shown:
Expand out the left hand side
(x-k)(x-5)
x(x-5)-k(x-5)
x^2-5x-kx+5k
Note that the constant term here is 5k. Yes k seems like a variable, but it's actually a constant. Once we know k, we can replace it to get a fixed number. In this case, k = 4 since 5k = 5*4 = 20 to have it match with the 20 at the end of x^2-9x+20
For the x terms, we have -5x-kx = -5x-4x = -9x which matches with the middle term of x^2-9x+20
Therefore,
(x-k)(x-5) = x^2-9x+20
updates to
(x-4)(x-5) = x^2-9x+20
The -4 and -5 multiply to 20, and they also add to -9. This helps confirm we have the right k value.
Answer:
Step-by-step explanation:
