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masya89 [10]
3 years ago
5

Which statement explains how you could use coordinate geometry to prove the diagonals of a quadrilateral are perpendicular?

Mathematics
2 answers:
kiruha [24]3 years ago
7 0

Answer:

(B)Use the slope formula to prove the slopes of the diagonals are opposite reciprocals.

Step-by-step explanation:

Two lines are perpendicular if the product of their slope is -1. That is, the slope of one is the opposite reciprocal of the other.

Mathematically, if their slopes are m_1\: and \:m_2, then:

m_1m_2=-1\\m_1=-\dfrac{1}{m_2}

<u>Therefore, the correct option is B.</u>

Temka [501]3 years ago
3 0

Answer:

B.

Step-by-step explanation:

I took the quiz and got the answer correct.

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Hiw ti factorise x*-16​
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Im assuming the problem is x^2-16, which would be factored to (x-4)(x+4)
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Given the following geometric sequence, find the common ratio: {3, 18, 108, ...).
vodomira [7]
Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.

18/3 = 6&#10;

Therefore the common ratio is 6.
4 0
3 years ago
If there are 12 crayons in each box, how many crayons are<br> there in 1 1/2 boxes?
ipn [44]
There are 18 crayons


Explanation:
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4 0
2 years ago
The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below.
Lina20 [59]

Answer:

<h3>⇒ A. 2 should be distributed as 2y + 12, y = 6</h3>

Step-by-step explanation:

Here are the steps to solve this equation:

<u>Given:</u>

First step: 2(y+6)-4y

Use the distributive property.

<u>Distributive property:</u>

<h3>⇒ A(B+C)=AB+AC</h3>

2(y+6)

2*y=2y

2*6=12

2y+12

Isolate the term of y from one side of the equations.

2y+12=4y

Subtract by 12 from both sides.

2y+12-12=4y-12

Solve.

2y=4y-12

Then, you subtract by 4y from both sides.

2y-4y=4y-12-4y

Solve.

2y-4y=-2y

-2y=-12

Divide by -2 from both sides.

\sf{\dfrac{-2y}{-2}=\dfrac{-12}{-2}}

Solve.

Divide the numbers from left to right.

<u>Solutions:</u>

-12/-2=6

\Longrightarrow: \boxed{\sf{y=6}}

  • <u>Therefore, the correct answer is A. "2 should be distributed as 2y+12, y=6".</u>

I hope this helps. Let me know if you have any questions.

4 0
2 years ago
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