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Daniel [21]
3 years ago
10

The solution set of x^2-2x-8=0

Mathematics
1 answer:
kari74 [83]3 years ago
3 0

x2−2x−8=0

Factor left side of equation.

(x+2)(x−4)=0

Set factors equal to 0.

x+2=0 or x−4=0

x=−2 or x=4

Answer:

x=−2 or x=4

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What is the range of possible sizes for side x? _ < x < _
allochka39001 [22]

Answer:

  0.5 < x < 16.5

Step-by-step explanation:

The third side of the triangle must be longer than the difference of the other two sides:

  x > (8.5 -8.0)

  x > 0.5

And it must be shorter than their sum:

  x < (8.5 +8.0)

  x < 16.5

The third side must be in the range ...

  0.5 < x < 16.5

_____

These limits are a direct consequence of the triangle inequality, which requires the sum of the two shortest sides exceed the length of the longest side.

3 0
3 years ago
Solve the equation.<br> 5(5x + 1) = 3x - 9x<br> x=<br> (Type an integer or a simplified fraction.)
pogonyaev

Answer:

x = -5/31

Step-by-step explanation:

5(5x + 1) = 3x - 9x multiply 5 with the inside of the parenthesis, 5(5x + 1) = 25x + 5

25x + 5 = 3x - 9x add the like terms, 31x = -5 and x = -5/31

6 0
3 years ago
Find the circumference and area of a circle<br>with a radius of 5 feet.​
iVinArrow [24]

Circumference = 2(pi)r

Area = (pi)r^2

r = 5

5 * 2 = 10

Circumference = 10π

5 * 5 = 25

Area = 25π

Using 3.14 as pi substitute:

5 * 3.14 = 15.7

15.7 * 2 = 31.4

Circumference = 31.4

5 * 5 = 25

25 * 3.14 = 78.5

Area = 78.5

4 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.
Anna71 [15]

Answer:

Step-by-step explanation:

slope=(0-3)/(3-0)=-3/3=-1

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3 0
2 years ago
Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si
kozerog [31]

The ratios of sin x° and cos y° are 15/8.

We have given that,

Use the image below to answer the following question.

We have to determine to find the value of sin x° and cos y°.

By applying Pythagoras theorem in the triangle given in the picture,

<h3>What is the Pythagoras theorem?</h3>

(Hypotenuse)² = (leg 1)² + (leg 2)²

PO² = (15)² + 8²

PO² = 225 + 64

PO = √289

PO = 17

By applying the sine rule in the given triangle,

sin(x°) = Opposie side/hypotenous

         = 15/17

cos(y°) = Adjucent side/hypotenous

          = 8/17

The relation between the ratio of sin(x) and cos(x) will be,

\frac{sinx}{cosx} =\frac{\frac{15}{17} }{\frac{8}{17} }

=\frac{15}{8}

Therefore the ratios of sin x° and cos y° are 15/8.

To learn more about the trigonometric function visit:

brainly.com/question/24349828

#SPJ2

       

5 0
2 years ago
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