Answer:
Step-by-step explanation:
Given
See attachment
From the attachment, we have:
First, we need to calculate length LM,
Using Pythagoras theorem:
Collect Like Terms
Solving (a):
Substitute values for MN and LN
Solving (b):
Substitute values for LM and MN
Solving (c):
Substitute values for LN and LM
Solving (d):
Substitute values for LM and LN
Answer:
y >= 8
Step-by-step explanation:
This equation is written in vertex notation, so we know the vertex is (-5,8). The parabola opens upward because the coefficient of the squared term is positive. Therefore, the vertex is the minimum, meaning all y values will be greater than (or equal to) the y-coordinate of the vertex (which is 8). When we convert this into a mathematical inequality, we get y>=8.
Answer:
The depth of the lake last year was 52 feet
Step-by-step explanation:
Given as :
This year depth of lake = 39 feet
Let the last year depth of lake = x feet
Now,
According to question :
The depth this year is 25% less than that of last year
I.e 39 feet = x - 25% of x
Or, 39 feet =
or, x =
∴ x = 52 feet
Hence The depth of the lake last year was 52 feet Answer
If I'm right the principal amount is $1,000 and the interest(if $1,550) is $550 in the transaction.