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aleksley [76]
3 years ago
8

How do I do this ? This is a very difficult problem

Mathematics
1 answer:
sesenic [268]3 years ago
3 0
With that table of values, you can come up with a slope intersect form of a line
7 = -8m + b
1 = -5m + b
-5 = -2m + b

7-1 = -3m
6 = -3m
m  = -2
1 = -5 * -2 + b
b = 1 - 10
b = -9
so it is    y = -2x - 9

Now we can find where those intersect 

-2x - 9 =2 (x+4)^2 - 5
-2x - 9 = 2(x^2 + 8x + 16) - 5
-2x - 9 = 2x^2 +16x + 32 -5
2x^2 + 18x +36 = 0
x^2 + 9x + 18 = 0

D = 81 - 72 = 9 = 3^2
x1 = (-9 - 3) / 2 = -6;   y1  = 3
x2 = (-9 + 3) / 2 = -3; y2 = -3

so the solutions are (-6; 3) and (-3; -3)

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What is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet?
mafiozo [28]

Answer:

The height of the tank is 0.5 yards.

Step-by-step explanation:

To determine what is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet, knowing that the volume of a cylinder is equal to pi multiplied by the radius squared, multiplied by the height, the following calculation must be done:

1 foot = 0.3333 yards

R = Diameter / 2

R = 120/2 = 60

3.14 x 60 ^ 2 x H = 1,884

3.14 x 3,600 x H = 1,884

3.14 x 1,200 x H = 1,884

3.768 x H = 1.884

H = 1,884 / 3,768

H = 0.5

Therefore, the height of the tank is 0.5 yards.

7 0
3 years ago
How can I solve this problem?
HACTEHA [7]

Answer:

25*pi or

78.5 square units.

Step-by-step explanation:

If there was no shaded area, the area of the circle would be pi * r^2

r = 10

Area = pi * 10^2

Area = 100 * pi

Since there is a shaded area, the shaded part looks to be 1/4 of the whole. There's no indication of what it actually is, but 1/4 should be close enough.

Area_shade = 1/4 (100*pi)

Area_shade = 25 * pi

That's one answer.

Another is 25 * 3.14 = 78.5 square units

7 0
3 years ago
Explain how the diameter and circumference are related?
Keith_Richards [23]
<span> In math, we have a formula that relates these two parts of a circle. This formula is called the </span>circumference<span> formula, and it is C = pi*d where C stands for the </span>circumference<span> and d stands for the </span>diameter<span>. And pi is pi or 3.14.</span>
4 0
4 years ago
Among 500 freshmen pursuing a business degree at a university, 311 are enrolled in an economics course, 243 are enrolled in a ma
Allushta [10]

Solution :

Let A = Economics, B = Mathematics

n(A) = 311, n(B) = 243, $n(A \cap B) = 135$

a). So, $n(A \cup B) = n(A) +n(B) - n(A \cap B)$

                     = 311 + 243 - 135

                     = 419

b). n(A only) = 311 - 135

                   = 176

     n(B only) = 243 - 135

                   = 108

Exactly one of these two courses

  $=\frac{176+108}{500}$

  = 0.568

c). Neither economics nor mathematics

    $=\frac{500-419}{500} $

  $=\frac{81}{500}$

 = 0.162

7 0
3 years ago
What is the square root of 45 rounded to the nearest hundredth
lakkis [162]
The square root of 45 is simplified to 3 root 5. Rounded in decimal form, 6.708
4 0
3 years ago
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