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Vladimir [108]
3 years ago
14

What is the vertex and x intercepts of y=x^2-2x-35 Just answers pls :)

Mathematics
1 answer:
kari74 [83]3 years ago
8 0

Answer:

x-int: (-5, 0), (7, 0)

vertex: (1, -36)

Step-by-step explanation:

Easiest and fastest way is to simply graph the equation and find what it's asking.

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What is the square root of 57? Help pleaseee
Free_Kalibri [48]

Answer:

7.54983444

Step-by-step explanation:

hope this helps :)

8 0
3 years ago
Three spherical balls with radius r are contained in a rectangular box. two of the balls are each touching 5 sides of the rectan
olganol [36]

Answer:

The volume of the space between the balls and the rectangular box is 4r^{3}(6 - \pi)

Step-by-step explanation:

The attachment below shows the description of the rectangular bow and the three spherical balls.

From the description,  

  • Two of the balls are each touching 5 sides of the rectangular box, say the 5 sides touched by one of the balls are sides 1,2,3,4, and 5; then the other ball will touch sides 2,3,4,5, and 6).  
  • The middle ball also touches four sides of the rectangular box, These four sides touched by the middle ball will be sides 2,3,4, and 5.

This means the balls are tightly fitted into the rectangular box.

Each of the balls has a radius r

Hence, The volume of one of the balls is given by the volume of a sphere

Volume of a sphere = \frac{4}{3} \pi r^{3} \\

The volume occupied by one of the balls is \frac{4}{3} \pi r^{3} \\

∴ The volume occupied by the three spherical balls will be

3 × \frac{4}{3} \pi r^{3} \\

= 4\pi r^{3}

The volume occupied by the three spherical balls 4\pi r^{3}

For the rectangular box,

The volume of a rectangular box = l w h

Where l\\ is the length

w is the width and

h is the height

Since the balls are tightly packed,

The width of the rectangular box will be the diameter of the balls

diameter of the balls = 2r

∴ w = 2r

The height of the rectangular box will also be the diameter of the balls

∴ h = 2r

The length of the rectangular box will be 3 times the diameter of the balls

∴l = 3 × 2r = 6r

Hence,

The volume of a rectangular box = 6r × 2r × 2r

= 24r³

The volume of the space between the balls and the rectangular box is given by

Volume of the space between the balls and the rectangular box =

volume of the rectangular box -  volume occupied by the three spherical balls

Volume of the space between the balls and the rectangular box= 24r³ - 4πr³

=  24r³ - 4πr³

= 4r³(6 - π)

5 0
3 years ago
If area of a sector of a circle of radius 36 cm is 54 pi cm square find the angle
dangina [55]

Answer:

15

Step-by-step explanation:

A= \pir^2

A1= \pi * 36^2

A1= \pi * 1296cm^2

A2= \pi * 54cm^2

1296/54= \frac{1}{24}

15 digreese

7 0
3 years ago
Evaluate 6j+23+kl−3, when j=3, k=7, and l=33.
madreJ [45]

The answer is 269. Hope this helped!! Could I possibly get brainliest!? :)


8 0
3 years ago
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Find the following values of the function
Helen [10]

Answer:

ok so all you have to do is basically

Step-by-step explanation:

ok so all you have to do is basically multiply

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