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Bumek [7]
3 years ago
8

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
6 0

Answer:

x = -2+√3i and -2-√3i

Step-by-step explanation:

The formula for the general formula is expressed as;

x = -b±√b²-4ac/2a

Given the expression

x²+4x+7 = 0

a = 1, b = 4 and c = 7

Substitute

x = -4±√4²-4(1)(7)/2(1)

x  = -4±√16-28/2

x = -4±√-12/2

x = -4±√4*-3/2

x = -4±2√-3/2

x = -4±2√3i/2

x = -4+2√3i/2 and  -4-2√3/2

x = -2+√3i and -2-√3i

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Answer:

(-9, 10)

Step-by-step explanation:

The location of the midpoint of a line with endpoint at (x_1,y_1) and (x_2,y_2) is given as (x, y). The location of x and y are:

x = \frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}

Given the endpoint (9,8) and Midpoint (0,9), the location of the other endpoint can be gotten from:

0=\frac{9+x_2}{2}\\ \\9+x_2=0\\\\x_2=-9\\\\Also,9=\frac{8+y_2}{2}\\ \\8+y_2=18\\\\y_2=18-8\\\\y_2=10

Hence the endpoint is at (x2, y2) which is at (-9, 10)

5 0
3 years ago
Suppose one bag contains 500 cubic inches of confetti. How many bags will Student Government need to fill 100 containers? If the
Vanyuwa [196]

The number of bags that they will need if each bag contains 500 cubic inches of confetti is 20,000

<h3>How to find the total volume ?</h3>

One bag contains 500 cubic inches of confetti.

Therefore,

1 bag = 500 inches³

The student need to fill 100 containers with the bag.

Each container can accomodates 100,000 cubic inches.

Therefore,

1 bag = 500 inches³

100,000inches³ = 1 container = 200 bags

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100 containers will contain 20, 000 bags of confetti.

learn more on volume here: brainly.com/question/10224096

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2 years ago
The size of a certain cell is2.5×10^-9m another cell is 1.5×10^3 times larger how large is the cell in scientific notation
Ludmilka [50]
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8 0
3 years ago
If 57 is added to a number, it will be 4 times as large as it was originally. Find the number.
Sonja [21]

Answer:

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Step-by-step explanation:

X will refer to the number.

X+57( the number added to the original.)=4x. (x time 4)

X+57=4x.

Subtract x from both sides to get the variable on one side.

(X+57)-x =(4x)-x

57=3x. You would then divide by 3 on both sides to again get integer isolated.

57/3=3/3x.

57/3=19. 3/3=1.

19=x.

6 0
3 years ago
How to find the surface area of triangular prisms<br> ?
Lunna [17]

Answer:

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Step-by-step explanation:

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2nd formula where A = area, b = base, and h = height.

8 0
3 years ago
Read 2 more answers
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