Answer:
Step-by-step explanation:
<u>Current office area:</u>
<u>Temporary office dimensions:</u>
<u>Temporary office area:</u>
- (x + 3)(x - 5) = x² - 2x - 15
<u>The difference is:</u>
- x² - (x²- 2x - 15) =
- x² - x² + 2x + 15 =
- 2x + 15
Correct choice is A
Which grade is this and which school?
Answer:
Step-by-step explanation:
Having drawn the line, Kendall must verify that the point P belongs to the line y = 2x-1 and then calculate the distance between A-P and verify if it is the closest to A or there is another one of the line
Having the point P(3,5) substitue x to verify y
y=2*(3)-1=6-1=5 (3,5)
Now if the angle formed by A and P is 90º it means that it is the closest point, otherwise that point must be found

and we found the distance PQ and QA
;
, 
be the APQ triangle we must find <APQ through the cosine law (graph 2).
Answer:
<h3>Option 4: y = 3 – 2a</h3>
Step-by-step explanation:
Given the simultaneous equation;
ax + by = ab ......... 1
2ax + 3by = 3b .....2
Required
Express y in terms of a
Using elimination method to eliminate x variable.
eqn 1 * 2 and eqn 2 *1 will give;
2ax + 2by = 2ab
2ax + 3by = 3b
Subtract
2by - 3by = 2ab - 3b
-by = 2ab - 3b
-by = b(2a-3)
-y = 2a-3
multiply through by -1
y = -2a + 3
y = 3-2a
Hence the value of y in terms of a is y = 3-2a
Answer:
<h2>
Tn = 34+3n</h2>
Step-by-step explanation:
The formula for finding the nth term of an arithmetic sequence is expressed as shown;

a is the first term of the sequence
n is the number of terms
d is the common difference
If T₁₂ = 70 and T₃₀ = 124
T₁₂ = a+(12-1)d = 70
T₁₂ = a+11d = 70... (1)
Similarly;
T₃₀ = a + (30-1)d = 124
T₃₀ = a +29d = 124...(2)
Solving equation 1 and 2 simultaneously to get a and d.
Subtracting 2 from 1 we have;
29d - 11d = 124-70
18d = 54
d = 54/18
d = 3
Substituting d = 3 into equation 1 to get a we have;
a + 11(3) = 70
a + 33 = 70
a = 70-33
a = 37
The explicit rule for the nth term of the sequence can be gotten by substituting the value of a and d into the formula Tn = a+(n-1)d
Tn = 37+(n-1)*3
Tn = 37+3n-3
Tn = 34+3n