It would be HL theorem because the triangles are at 90 deg with a right angle
Step-by-step explanation:
y = x² − 14x + 24
To convert to vertex form, complete the square. Take half of the second coefficient, square it, then add the result to both sides.
(-14/2)² = 49
y + 49 = x² − 14x + 49 + 24
y + 49 = (x − 7)² + 24
y = (x − 7)² − 25
The vertex is (7, -25).
Answer:
Step-by-step explanation:
Because the difference between any term and the previous term is a constant, this is an arithmetic sequence because of that constant which is referred to as the common difference, d. Which in this case is -35--38=-32--35=3
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.
In this case a=-38 and d=3 so
a(n)=-38+3(n-1) which we can simplify to
a(n)=-38+3n-3
a(n)=3n-41, so the 52nd term is:
a(52)=3(52)-41
a(52)=156-41
a(52)=115
Answer:
24 hours
Step-by-step explanation:
Kristen = 8 hours
Kristen and Courtney = 6 hours
Courtney = x hours
in six hours kirsten can do 6/8 of the job
6/8 = 3/4
So kirsten is going to be doing 3/4 of the job
Courtney is only going to do 1/4 of the job
Number of hours it takes Courtney to do the job
6/x = 1/4
Cross product
6 * 4 = x * 1
24 = x
x = 24 hours
It will take Courtney 24 hours to type a 50-page paper on her own
