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marta [7]
3 years ago
8

Let ​ f(x)=x2−6x−27 ​ . Enter the x-intercepts of the quadratic function in the boxes. x = and x =

Mathematics
2 answers:
Akimi4 [234]3 years ago
8 0

Answer:

-3, 9

Step-by-step explanation:

x^2 -6x - 27=

= x^2 - 9x + 3x - 27

= x(x - 9) + 3(x - 9)

= (x + 3)(x - 9)

x = -3, x = 9

iren2701 [21]3 years ago
8 0

Answer:

x = 9

x = - 3

Step-by-step explanation:

This factors.

The best way to do this is to start by seeing what answers are possible. Start with 27. What 2 numbers multiply to 27. There aren't many.

27: 1 * 27

27: 3*9                

Now you need the two numbers to add to -6. That means the larger one should be -

The answer is 3 and 9

So the factors are

(x - 9)(x + 3)

x - 9 = 0

x = 9

========

x + 3 = 0

x = - 3

================

The intercepts are the points (9,0) and (-3,0)

x = 9

x = - 3

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Earth's radius is approximately 6400 km. What is the surface area & volume of the earth?
Tamiku [17]

Answer:

SA=514,457,600\ km^{2}

V=1,097,509,546,667\ km^{3}

Step-by-step explanation:

step 1

Find the surface area

we know that

the surface area of a sphere is equal to

SA=4\pi r^{2}

substitute

SA=4 \pi (6,400)^{2}

SA=163,840,000 \pi\ km^{2}

substitute the approximate value of pi (3.14)

SA=(3.14) (163,840,000)

SA=514,457,600\ km^{2}

step 2

Find the volume

The volume is equal to

V=(4/3)\pi r^{3}

substitute

V=(4/3)(3.14) (6,400)^{3}

V=1,097,509,546,667\ km^{3}

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3 years ago
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3 years ago
A circle has a diameter of 26 units. What is the area of the circle to the nearest hundred of a square unit?
Nady [450]

Answer: The area is 530 square units

Step-by-step explanation: The diameter of the circle has been given as 26. That makes the radius 13, that is;

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Radius = 26/2

Radius = 13

The area of a circle is derived by the formula;

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Area = (3.14) x 13^2

Area = 3.14 x 169

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Approximately to the nearest hundred of a square unit,

The area of the circle is 530 square units

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Answer:

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