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Stels [109]
3 years ago
10

0=8x^2+8x-21 in (x-p)^2=q form

Mathematics
1 answer:
Makovka662 [10]3 years ago
7 0

Step-by-step explanation:

8x² + 8x - 21 = 0

8(x² + x) - 21 = 0

8(x + 0.5)² - 23 = 0

8(x + 0.5)² = 23

(x + 0.5)² = 23/8.

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Find the inverse for this relation: { (1, -3), (-2, 3), (5, 1), (6, 4) }
worty [1.4K]

Answer:

(-3,1), (3,-2), (1,5), (4,6)

Step-by-step explanation:

For finding and inverse of a relationship, you simply just need to swap the x and y values. So the x will go into the y value and the y value will go into the x value.  

7 0
3 years ago
A city is building a fence around a rectangular playground. If the perimeter of the playground is 82 feet and the length of one
Over [174]
P=2l+2w
82=52+2w, (52 because 26*2=52)
30=2w
15=w

Answer: The width is 15ft
5 0
4 years ago
Which size would you see on the box for a new television whose screen measures 32 inches wide by 18 inches high?
zzz [600]

Answer:

37

Step-by-step explanation:

The calculation of size for a new television is shown below:-

With the help of Pythagoras theorem

h^2 = b^2 + p^2

where

h indicates hypotenuse which is the diagonal length

b indicates the base which is the length of the horizontal side

p indicates perpendicular which is the TV length of the vertical side.

h^2 = \sqrt{b^2 + p^2}

now, we will put the values into the above formula

= \sqrt{32^2 + 18^2} \\\\ = \sqrt{1024 + 324} \\\\ = \sqrt{1348}

Which gives result

= 36.7

or

= 37

5 0
3 years ago
1 1/3 is greater than blank and less then blank
disa [49]

Answer:

1

7 0
3 years ago
3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round
mihalych1998 [28]

The formula for volume of a cone is V = PI x r^2 x h/3 where r is the radius and h is the height.

Volume of cone = 3.14 x 7^2 x 12/3

Volume of cone = 3.14 x 49 x 4

Volume of cone = 615.44 cubic inches.

The formula for volume of half a sphere is : 1/2 x (4/3 x PI x r^3)

Volume for half sphere = 1/2 x (4/3 x 3.14 x 7^3)

= 1/2 x 4/3 x 3.14 x 343

= 718.01 cubic inches.

Total volume = 615.44 + 718.01 = 1333.45 cubic inches.

Rounded to the nearest tenth = 1,333.5 cubic inches.

4 0
3 years ago
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