2 years ago

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Mathematics

1 answer:

evablogger [386]2 years ago

4 0

1 and 5/16 pounds
Divide 7/8 with 2/3

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Part A Prove that when x > 1, a triangle with side lengths a = x2 − 1, b = 2x, and c = x2 + 1 is a right triangle. Use the Py

Nataly [62]

Step-by-step explanation:

Given : A triangle with side lengths $a = x^2-1, b = 2x, \text{ and } c = x^2 + 1$

To find : Prove that when x > 1, it is a right triangle. Use the Pythagorean theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule describing right triangles. Explain your steps ?

Solution :

For right triangle the Pythagorean theorem is to be satisfied.

i.e. $c^2=a^2+b^2$

Here, $a = x^2-1, b = 2x, \text{ and } c = x^2 + 1$

Substitute the values,

$(x^2+1)^2=(x^2-1)^2+(2x)^2$

$x^4+1+2x^2=x^4+1-2x^2+4x^2$

$x^4+1+2x^2=x^4+1+2x^2$

LHS=RHS

It is a right triangle.

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3 years ago

Start fraction two minus five x over negative three end fraction plus four less than negative x

Charra [1.4K]

2 - 5x
------- + (-x - 4)
-3

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2 years ago

If using the method of completing the square to solve the quadratic equation x^2-4x+10=0,which number would have to be added to

chubhunter [2.5K]

Answer:

Step-by-step explanation:

Given

x² - 4x + 10 = 0

subtract 10 from both sides

x² - 4x = - 10

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 2)x + 4 = - 10 + 4

(x - 2)² = - 6

To complete the square add 4

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3 years ago

Evaluate the expression 5(-3) using a number line.

MArishka [77]

Answer: -15

Step-by-step explanation:

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1 year ago

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Use (<, >, =) to compare 2⁄3 and 3⁄4. A. None of the above B. 2⁄3 > 3⁄4 C. 2⁄3 < 3⁄4 D. 2⁄3 = 3⁄4

Vinvika [58]

C 3/4 >2/3 bc 3/4=.75 and 2/3 = .66

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3 years ago