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DIA [1.3K]
3 years ago
10

What constant do you need to add to each of the following quadratic equations to complete the square?

Mathematics
1 answer:
Ghella [55]3 years ago
5 0
Where are the quadratic equations?
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I need help with Geometry
ehidna [41]

Answer:

We conclude that segment QR is the shortest.

Hence, option B is true.

Step-by-step explanation:

First, we need to determine the missing angle m∠R

Given the triangle Δ∠PQR

m∠P = 48°

m∠Q = 83°

m∠R = ?

We know the sum of angles of a triangle is 180°.

m∠P+m∠Q+m∠R = 180°

48°+83°+m∠R=180°

m∠R = 180° - 48° - 83°

m∠R = 49°

Thus, the value of m∠R = 49°

We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

Here,

m∠P = 48° is the shortest angle.

As the side QR segment is opposite the smallest angle i.e. m∠P = 48°

Therefore, we conclude that segment QR is the shortest.

Hence, option B is true.

5 0
2 years ago
The volume of a cube is 8 in^3 What is the length of one side?
stepladder [879]

Answer:

2 in

Step-by-step explanation:

Use the cube volume formula, V = s³, where s is the side length

Plug in 8 as V and solve for s:

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Take the cube root of both sides:

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So, the length of one side is 2 inches.

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Answer:

14 to 132

Step-by-step explanation:

We are given that there are 132 boys and 14 adults. Since the question is only asking for the ratio of adults to boys, we don't have to worry about the number of girls in this question. From here, we see that the question is asking for the ratio of adults to boys, so we put it in that exact order. Our answer is 14 to 132. I hope this helps and please don't hesitate to reach out with more questions!

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Answer:

.7

Step-by-step explanation:

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