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3 years ago

I dont know how to solve this problems

Mathematics

1 answer:

sasho [114]3 years ago

4 0

Which problem do you need help on? maybe I could help you

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Rewrite the equation by completing the squares x^2-x-20

yuradex [85]

Answer: x = ¹/₂ ± √⁸¹

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Step-by-step explanation:

First write out the equation

x² - x - 20

Now we now write the equation by equating to 0

x² - x - 20 = 0

We now move 20 to the other side of the equation. So

x² - x = 20,

We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes

x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²

x² - ( ¹/₂ )² = 20 + ¹/₄

( x - ¹/₂ )² = 20 + ¹/₄, we now resolve the right hand side expression into fraction

( x - ¹/₂ )² = ⁸¹/₄ when the LCM is made 4

Taking the square root of both side to remove the square,we now have

x - ¹/₂ = √⁸¹/₄

x - ¹/₂ = √⁸¹/₂

Therefore,

x = ¹/₂ ± √⁸¹

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3 0

3 years ago

A scalene triangle is an isosceles triangle. true false

Westkost [7]

False because they don't have the same length and shape you know they may be triangle but the their length are different.

4 0

3 years ago

Dr,Goode prescribes 0.2 grams of cold medicine for Donald. This medicine comes in tablets that are 0.5 grams or 0.05 grams. Shou

e-lub [12.9K]

Using proportions, it is found that Donald should order 4 of the 0.05 gram tablets.

This question is solved by proportions, using a rule of three.

4 tablets are needed, and they should combine for 0.2 grams. How many grams is there going to be on one tablet?

The rule of three is:

1 tablet - x grams

4 tablets - 0.2 grams

Applying cross multiplication:

$4x = 0.2$

$x = \frac{0.2}{4}$

$x = 0.05$

Donald should order 4 of the 0.05 gram tablets.

For more on proportions, you can check brainly.com/question/24372153

7 0

2 years ago

8x(12+7-9)-(4+10) what’s the answer

navik [9.2K]

Equation- 8x(12+7-9)-(4+10)

Answer- 80x−14

6 0

2 years ago

Helpppppp pllzzzzzzzzz

fgiga [73]

Answer:

The length of side of largest square is 15 inches

Step-by-step explanation:

The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.

Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.

So,

Area of square 1: 81 square inches

$s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9$

Perimeter of square 2: 48 inches

$4*side = P\\4* side = 48\\side = \frac{48}{4}\\side = 12\ inches$

We can see that a right angled triangle is formed.

Here

Base = 12 inches

Perpendicular = 9 inches

And the side of largest square will be hypotenuse.

Pythagoras theorem can be used to find the length.

$(H)^2 = (P)^2+(B)^2\\H^2 = (9)^2+(12)^2\\H^2 = 81+144\\H^2 = 225\\\sqrt{H^2} = \sqrt{225}\\H = 15$

Hence,

The length of side of largest square is 15 inches

5 0

3 years ago