You can put this solution on YOUR website!
If 15^2 = 9^2 +12^2, the triangle satisfies the Pythagorean Theorem for a right triangle.
Is (15^2 = 81 + 144)?
Is (225 = 225)? Yes
Therefore the given triangle is a right triangle. Let the vertex of the right angle be C, the leg AC is 12, the hypotenuse AB is 15 and the leg BC is 9. The line perpendicular to the hypotenuse at a point D that connects to the vertex C is the "height" of the triangle ABC. It can be shown that the three angles of the triangle ABC are equal to those of triangle CBD. Thus triangle ABC is similar to CBD. The problem is to find the lenght of the line CD.
Using proportions of corresponding sides we have
CD/9 = 12/15
CD = 9*12/15
CD = 36/5
Answer: the line is 7.2 cm.
Answer: the answer has to be a because the other ones are not even close
Step-by-step explanation:
Answer: The answer is 27600 and 35152.
Step-by-step explanation: Given that the call letters of a radio station must have 4 letters and the first letter is one of K or W. We are to calculate the number of call letters that can be made if repetition is allowed and not allowed.
If repetition is not allowed, then we can choose the first letter in 2 ways, second letter in 25 ways, third letter in 24 ways and fourth letter in 23 ways. So, the total number of call letters will be
If repetition is allowed, then we can choose the first letter in 2 ways, second letter in 26 ways, third letter in 26 ways and fourth letter in 26 ways. So, the total number of call letters will be
Thus, the required answer is 27600 and 35152.
Answer:
y = -4x+7 is the equation simplified and answer choice A is the right answer.
Step-by-step explanation:
Your equation: y - 6 = -4(x+1)
Your Objective: You need to simplify the original equation and find another equation that is equivalent to the original equation.
Let's focus on the -4(x+1) side first.
This needs to have the distributive property applied.
Take -4 and multiply it by x and 1.
You should have -4x+1
Your equation now:
y - 6 = -4x+1
We want y to be by itself.
So add 6 to both sides.
y = -4x+1+6
Use PEMDAS
y = -4x+7
The first answer choice "A" is correct.