Answer:
9 x 8 = 72
This equation shows that 9 is a factor of 72 because 9 times something is 72 in this equation. Hope it helps!
Answer:
We conclude that we must add 4² or 16 to complete the square.
Hence, option C i.e. 16 is the correct answer.
Step-by-step explanation:
We know that the perfect square formula is
<em>(a + b)² = a² + b² + 2ab</em>
Given the equation

Let us add 4² or 16 in the equation


as <em>(a + b)² = a² + b² + 2ab, </em>so
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Therefore, we conclude that we must add 4² or 16 to complete the square.
Hence, option C i.e. 16 is the correct answer.
Answer:
√7 ≈ 2.646
Step-by-step explanation:
The law of cosines is applicable. It tells you ...
c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.
Filling in the given information, you have ...
c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7
c = √7 ≈ 2.646
The length of the third side is √7, about 2.646 units.
Answer:
Below
Step-by-step explanation:
● x^2 + 11x + 121/4 = 125/4
Substract 125/4 from both sides:
● x^2 + 11x + 121/4-125/4= 125/4 -125/4
● x^2 + 11x - (-4/4) = 0
● x^2 +11x -(-1) = 0
● x^2 + 11 x + 1 = 0
This is a quadratic equation so we will use the determinanant (b^2-4ac)
● a = 1
● b = 11
● c = 1
● b^2-4ac = 11^2-4*1*1 = 117
So this equation has two solutions:
● x = (-b -/+ √(b^2-4ac) ) / 2a
● x = (-11 -/+ √(117) ) / 2
● x = (-11 -/+ 3√(13))/ 2
● x = -0.91 or x = -10.9
Round to the nearest unit
● x = -1 or x = -11
The solutions are { -1,-11}
Answer:
They meet in 2.22 hours.
Step-by-step explanation:
We can find the time at which Reagan and Nathan meet by equaling the time as follows:
(1)
(2)
Where R is for Reagan and N for Nathan.
Knowing that:

By adding equations (1) and (2) we have:


Therefore, they meet in 2.22 hours.
I hope it helps you!