Answer:
a = 3
Step-by-step explanation:
Factorise both expressions\x² - x - 6 = (x - 3)(x + 2)
x² + 3x - 18 = (x - 3)(x + 6)
Thus both expressions have a common factor of (x - 3) , thus
a = 3
Answer:
It's worth $11,472.21 after 5 years.
Step-by-step explanation:
2.75% = 0.0275 as a decimal fraction.
The formula for the value after 5 years is:
A = 10,000(1 + 0.0275/12)^(5*12) where A is the amount of the investment after 5 years.
= 10,000(1.002291667)^60
= 10000 * 1.14722122
= 11,472.21.
=
Ratio of shadow to object's size = 2/7
Then, size of tree would be: 7/2 * 28 = 7 * 14 = 98 feet
So, your final answer is 98 feet
Hope this helps!
B) 50 - c = 16; $34 spent on clothes
50 - c = 16
Subtract 16 from both sides.
34 - c = 0
Add c on both sides.
34 = c
So, they spent $34 on clothes.
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Answer:
Option C. 9 in
Step-by-step explanation:
<u><em>The question is</em></u>
What can be the length of the third side?
we know that
The <u>Triangle Inequality Theorem</u> states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.
Let
x ----> the length of the third side
Applying the Triangle Inequality Theorem
1) x+9 > 17
x > 17-9
x > 8 in
2) 9+17 > x
26 > x
Rewrite
x < 26 in
so
The solution for the third side is the interval ----> (8,26)
All real numbers greater than 8 inches and less than 26 inches
therefore
The measure of the third side can be 9 in