Answer:
E) 1/2
Step-by-step explanation:
This is no ordinary problem. It actually requires you to solve two different problems in order to figure out the correct answer.
First, we must figure out what the hypotenuse of the triangle is. We have the two small sides (5 and 12), but don't have the larger side. To find this, we must use the Pythagorean theorem:
Let's plug in our a and b values
Simplify
Square both sides
But sadly, we aren't done yet. Now we know the length of the whole hypotenuse side. Time to figure out what X is by a simple equation.
Simplify
Divide by 26
Answer is 1/2
The ball will hit the ground at 0.125 seconds
<h3>Quadratic function</h3>The equation of the function is a quadratic function, and the function is given as:
When the ball hits the ground, the value of h is 0.
So, the equation of the function becomes
Subtract 2t from both sides of the equation
Divide both sides by -2t
Divide both sides by 8
Hence, the ball will hit the ground at 0.125 seconds
Read more about quadratic functions at:
By apply the distributive property of multiplication, the value of k which makes the statement true is 1.
<h3>What is the distribution property?</h3>Mathematically, the distributive property of multiplication is given by tis expression:
x(y + z) = xy + xz.
Next, we would apply the distributive property of multiplication to the given equation by distributing to the left-hand side using xy⁴:
k(2x⁴y⁴ + 7x³y⁸) = 2x⁴y⁴ + 7x³y⁸
Dividing both sides by the common factor, we have:
k = (2x⁴y⁴ + 7x³y⁸)/(2x⁴y⁴ + 7x³y⁸)
k = 1.
In conclusion, the value of k which makes the statement true is 1.
Read more on distributive property here; brainly.com/question/2807928
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<u>Complete Question:</u>
What value of k makes the statement true?
y⁴(2x³ + 7x²y⁴) = 2x⁴y⁴ + 7x³y⁸