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valentinak56 [21]
3 years ago
14

Solve the quadratic equation by completing the square. x^2+14x+47=0. What is the form and solution?

Mathematics
1 answer:
Phoenix [80]3 years ago
4 0
To complete a square for ax²+bx+c, you first make a=1.
in this case, a is already 1
move c to the right side: x²+14x=-47
next, add (1/2 of b)² to both sides, in this case, b=14, half of 14 is 7, so x²+14x+ 7²=-47+7²
the left side is now a perfect square: (x+7)²=2
x+7=√2 or x+7=-√2
x=√2-7, or x=-2-√7
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The figure is made up of 2 cones and a cylinder. The cones and cylinder have a 4 cm diameter.
Ilya [14]

Answer:

62.84

Step-by-step explanation:

Volume of both cones is approximately 12.57

formula= pi*r^2*h/3

Volume of the cylinder is approximately 37.7

formula= pi*r^2*h

you add the volumes

12.57+12.57+37.7

= 62.84

8 0
3 years ago
Please help multiple choice !!
professor190 [17]
The answer is x= 2, y= 1
8 0
2 years ago
The eastbound train travels 10 miles per hour faster than the westbound train. After 2 hours, they are 232 miles apart. At what
patriot [66]

Answer:

48,58

Step-by-step explanation:

Let The speed of the west bound train be x

Let the east bound train be x+10

The speeds can be calculated as follows

2(2x+10)= 232

4x + 40= 232

4x= 232-40

4x= 192

x= 192/4

= 48

Hence the speedof the west bound train is 48

The speed of the east bound train is 48+10

= 58

8 0
2 years ago
A gardener uses a coordinate grid to design a new garden. The gardener uses polygon WXYZ on the grid to represent the garden. Th
ValentinkaMS [17]

Answer:

A square

36 square yard.

Step-by-step explanation:

Given the following information:

W(3,3), X(-3,3), Y(-3,-3), and Z(3,-3)

So we need to graph those vertices and connect them in order.

(please have a look at the attached photo)

From the graph, it clear that the shape of the garden is a square.  

Then, we need to calculate the length of the four sides

<u>Find the length of the side YZ. </u>

The length of side YZ  =  3 + 3  =  6 yards  because point Y and Z are on the same line y = -3 so we just need to find the distance between their x coordinate

<u>Find the length of the side WZ.</u>

The length of side WZ  =  3 + 3  =  6 yards because point W and Z are on the same line x = 3 so we just need to find the distance between their y coordinate

=> the area of the square WXYZ:

= YZ*WZ

= 6*6

= 36 square yard.

7 0
3 years ago
Which equation represents the line with a slope of 5/6 that passes through the point (−2,1)?
soldi70 [24.7K]

Answer:

Slope m=

10-2

7-3

=

8

4

m = 2

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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