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2 years ago

Find the values of p and g such that 4x² + 12x = 4(x + p)^2-q

Mathematics

1 answer:

Minchanka [31]2 years ago

6 0

Answer:

q=8xp+4p²-12x

Step-by-step explanation:

its easy

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1285 students went on a field trip six buses were filled with the same number of students and seven other student travel in coll

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213 students were in each bus

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3 years ago

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Find all numbers whose absolute value is 3 . If there is more than one, separate them with commas. If there are no such numbers,

adelina 88 [10]

Answer:

3, and -3

Step-by-step explanation:

Because absolute value is the distance away from zero, |3| and |-3| would both be 3 units away from 0. Be sure to have the negative on the inside if you're trying to make something positive, otherwise -|3| means that the absolute value of 3 would then become negative since the negative sign isn't a part of the absolute. hope this helps!

3 0

3 years ago

Prove that if a and b are positive integers whose sum is a prime p, their greatest common divisor is 1.

Tasya [4]

Proof by contadiction.

Let assume there exist such positive integers $a$ and $b$ whose sum is a prime number $p$ , that their greatest common divisor is greater than 1.

$a,b\in\mathbb{Z^+}\\d=\text{gcd}(a,b)>1\\\\a=de\\b=df\\e,f\in\mathbb{Z^+}\\\\a+b=p\\de+df=p\\d(e+f)=p\\$

Since $p$ is a prime number and $d>1$ , then $d=p \wedge e+f=1$ , but we assumed earlier that $e,f\in\mathbb{Z^+}$ , and there are no two positive integers that sum up to 1.

q.e.d.

7 0

3 years ago

GraphA GraphB GraphC GraphD

Serhud [2]

Graph A its the beat answer

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3 years ago

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Use the given figure to solve the remaining parts of the triangle AIR.

PIT_PIT [208]

Answer:

1. 15.49 cm

2. 14.39 cm

3. 17.32 cm

4. 11.53 cm

5. 5 cm

Step-by-step explanation:

In the given problem, you can solve the unknown side of the triangle using either Pythagorean Theorem or SOA CAH TOA method. In Trigo, you can use the Pythagorean Theorem if the triangle has 90 degrees, or it is a right triangle.

In the given problem, the angle of the triangles are unknown, therefore to solve the unknown side of triangles, we will you use the SOA CAH TOA.

In this case, since the given side are b and c, we can use CAH (Cos Teta equals Adjacent over Hypotenuse), and TOA ( Tan Teta equals Opposite over Adjacent)

Lets provide the solution for the number, and the rest have the same solutions and process.

b= 17, c= 3, let u is the angle

Cosu= 17/23, to get the angle, use inverse cosine.

The result will be 42.34°, and to get the unknown side, use TOA

Tanu=a/17, a=17Tanu

It will give you 15.49 cm

In the number 2 and 5, it will be the same when you rotate the triangle.

Read more about the concept of SOA CAH TOA at

brainly.com/question/22767551

#BrainlyFast

3 0

2 years ago