Answer:
<h3>
A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>
Step-by-step explanation:
H = 2x+6 - the hight
3H = 3(2x+6) - triple the hight
3H-5 = 3(2x+6) - 5 - five less than triple the height
Area of triangle: A = 0.5BH
B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13
H = 2x+6
So:
A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78
A = 6x² + 49x + 78
Answer: The correct option is (A) < .
Step-by-step explanation: We are given to select the correct mathematical symbol that would best fill in the blank to compare the following two real numbers :
First , we need to find the values of both the real numbers in decimal form.
We have
Since, 
so we get
Thus, the correct mathematical symbol is <.
Option (A) is CORRECT.
Step-by-step explanation:
= -1 × 729
= -729
Answer: 18
Step-by-step explanation: Simplify 2^3 to 8. 3/4 (8+4^2). Simplify 4^2 to 16. 3/4 (8+16). Simplify 8+10 to 24. 3/4*24. Use this rule: a/b * c = ac/b. Simplify 3*24 to 72. 72/4.
<em>Hope this helps!</em>
Let's check. 6 one-dollars = $6 15 five-dollars = $75 9 ten-dollars = $90 Add them all up to get $171, so that is correct. Add the number of one-dollar bills and the number of ten-dollar bills together. 6 + 9 = 15, which is the number of five-dollar bills, so that is correct as well. Add all the numbers of bills together, 6 + 9 + 15 = 15 + 15 = 30, so that is correct
