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poizon [28]
3 years ago
9

Use the rules of equations and inverse operations to solve the equation. In your final answer, include all of your work.

Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0

Answer:

x= +2\sqrt{5} or -2\sqrt{5}

Step-by-step explanation:

for the given equation,

4 - x^{2} = -16

using rules of equation and inverse operations as isolating x on one side of equation,

interchanging sides  of equation  we get,

x^{2} =20

x= +\sqrt{20} or x= -\sqrt{20}

x= +2\sqrt{5}  or x= -2\sqrt{5}

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(SOMEONE PLEASE HELP ME ) A central angle in a circle has a measure of 1 radian. The length of the arc it intercepts is 3.07 in.
Naddika [18.5K]
The total circle has a measure of 2π radian, so this portion is 1/(2π) of the whole circle
the circumference of the whole circle is 2πr
1/(2π) of 2πr=3.07
r=3.07
7 0
3 years ago
Read 2 more answers
The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The ar
Alex_Xolod [135]

Answer

Find out the original side length of the square .

To prove

Let us assume that the original length of the square be x.

Formula

Area\ of\ rectangle = Length\times Breadth

As given

The dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other.

Length becomes  = x + 8

Breadth becomes = x -3

The area of the resulting rectangle is 126 in²

Put in the formula

(x + 8) × (x - 3) = 126

x² -3x + 8x -24 = 126

x ²+ 5x = 126 +24

x² + 5x - 150 = 0

x² + 15x - 10x - 150 = 0

x (x + 15) -10 (x +15) =0

(x + 15)(x -10) =0

Thus

x = -15 , 10

As x = -15 (Neglected this value because the side of the square cannot be negative.)

Therefore x = 10 inches be the original side of the square.






3 0
3 years ago
What is 2x(34) - (3-5)
Nikitich [7]

Answer:68x + 2

Step-by-step explanation:

3 0
3 years ago
Given the points (8,9) and (2,7) find the slope M=
Goshia [24]

Answer:

1/3

Step-by-step explanation:

7-9=-2

2-8=-6

2/6 is 1/3 when simplified

3 0
3 years ago
The graph of the function f(x) is shown below.
faust18 [17]
Remember, parenthaees are like < and > and brackets ar like ≤ and ≥

domain is how far the x values go
x is left to right

we see they go from -3 to 5, with a filled in dot at -3 and empty dot at 5
means include -3 but not including 5
so like -3≤x<5
or in interval notation
[-3,5) is the domain



range
highest to lowest y value

range is from y=3 to y=-1
we gots full dots so we use brackets
range is [-1,3]



Domain=[-3,5)
Range=[-1,3]


B. read above and understand it
5 0
3 years ago
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