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3 years ago

Prove that the roots of the equation X^2 - 2px + p^2 - q^2 =0 where p and q are constants, are real.

Mathematics

1 answer:

lora16 [44]3 years ago

3 0

Answer:

Step-by-step explanation:

Sorry I am not sure and don’t want to give you the wrong answer sorry again

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An exterior angle of a triangle is 180 degrees.

Lilit [14]

180 degrees of the triage

5 0

2 years ago

3. the smallest number by which 168 must be multipled to get the perfect square number. ICA) 3 1(B)2 (c) 4 (o)5

kaheart [24]

Answer:

Step-by-step explanation:

168 factors into

2•2•2•3•7

two of the 2's make a perfect square

(2•2)•2•3•7

2²•2•3•7

as none of the product of the remaining factors makes a perfect square

2•3 = 6, 2•7 = 14, 3•7 = 21

we need to multiply the remaining factors together to find another perfect square

2²•(2•3•7)²

2•3•7 = 42

42(168) = 7056 = 84²

5 0

2 years ago

Please help! acellus

ch4aika [34]

Answer:

The number that belongs in the green box is equal to 909.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem:
$\displaystyle a^2 + b^2 = c^2$

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 30

b = 3

c = x

Step 2: Find x

Let's solve for the general equation that allows us to find the hypotenuse:

[Pythagorean Theorem] Square root both sides [Equality Property]:
$\displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}$

Now that we have the formula to solve for the hypotenuse, let's figure out what x is equal to:

[Equation] Substitute in variables:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}$
Evaluate:
$\displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}$

∴ the hypotenuse length x is equal to √909 and the number under the square root, our answer, is equal to 909.

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Learn more about Trigonometry: brainly.com/question/27707750

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Topic: Trigonometry

3 0

2 years ago

Jamar's teacher told him that one of the reasons he gave on the proof below was incorrect. Which reason did he make the mistake

Kamila [148]

Answer:

Reason given in step 2. is incorrect. It should read; "Distributive Property."

Step-by-step explanation:

The reason given to go from :

2 (3x +4) = 56 to 6x + 8 = 56

is NOT "Multiplication Property of Equality" because one is not multiplying both sides of the equality by a number. The property that is being used is the Distributive Property on the left side of the equation in order to remove the grouping symbols (parenthesis) performing the implied multiplication of the external factor times each term of the binomial in parenthesis.

8 0

3 years ago

F(x) = 4x-5; f(-2) please help

Firdavs [7]

Answer:

f(x)=-13

Step-by-step explanation:

Substitute x with -2

4 times -2 is -8

-8-5 is -13

Thus f(x)=-13

Hope this helps!

5 0

3 years ago