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Liula [17]
3 years ago
11

How do I solve this math equation. I am completely lost. e^2x=e^x^2-24

Mathematics
1 answer:
posledela3 years ago
8 0
e^{2x}=e^{x^2-24}\\
2x=x^2-24\\
x^2-2x-24=0\\
x^2-2x+1-25=0\\
(x-1)^2=25\\
x-1=5 \vee x-1=-5\\
x=6 \vee x=-4
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Help please! I’m confused!
Ivan

Answer:

1936

Step-by-step explanation:

x² + 87 = (x +1)²

x² + 1)² - x² =87

(x² + 2x +1) = 87

2x + 1 = 87 ⇒ x = 44

44² = 1936

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4 years ago
What is the solution set of –x2 – 6 < 0?
prisoha [69]

Answer:

x>-3 is the answer hope it helps

6 0
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What is the perimeter in square units of the rectangle shown on the coordinate grid?
Rashid [163]

In order to find the Perimeter of the Rectangle, First we need to find the Length and Width of the Rectangle.

Distance between two points (x₁ , y₁) and (x₂ , y₂) is given by :

\bigstar\;\; \mathsf{Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}

There are two lengths in a rectangle. Let us find any one length of the rectangle.

I'm considering the length with co-ordinates (-8 , 2) and (-2 , 10)

Here :  x₁ = -8 and x₂ = -2 and y₁ = 2 and y₂ = 10

Substituting the values in the distance formula, We get :

\mathsf{\implies Length = \sqrt{[-2 - (-8)]^2 + [10 - 2]^2}}

\mathsf{\implies Length = \sqrt{[-2 + 8]^2 + [8]^2}}

\mathsf{\implies Length = \sqrt{[6]^2 + [8]^2}}

\mathsf{\implies Length = \sqrt{36 + 64}}

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\mathsf{\implies Length = 10}

There are two widths in a rectangle. Let us find any one width of the rectangle.

I'm considering the width with co-ordinates (-2 , 10) and (2 , 7)

Here :  x₁ = -2 and x₂ = 2 and y₁ = 10 and y₂ = 7

Substituting the values in the distance formula, We get :

\mathsf{\implies Width = \sqrt{[2 - (-2)]^2 + [7 - 10]^2}}

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\mathsf{\implies Width = \sqrt{[4]^2 + [-3]^2}}

\mathsf{\implies Width = \sqrt{16 + 9}}

\mathsf{\implies Width = \sqrt{25}}

\mathsf{\implies Width = 5}

Perimeter of a Rectangle is given by : 2[Length + Width]

:\implies  Perimeter of the given rectangle = 2[10 + 5]

:\implies  Perimeter of the given rectangle = 2[15]

:\implies  Perimeter of the given rectangle = 30

<u>Answer</u> : Perimeter of the given rectangle is 30 square units

4 0
3 years ago
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alexira [117]
X= 13(6x-5)-x=13-2(x+1)
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You have a balance of $4,500 on your credit card. The interest rate is 12% (1% per month). The late payment fee is $40. You miss
Nikitich [7]

Answer:

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Step-by-step explanation:

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