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2 years ago

Follow the process of completing the square to solve 2x2 + 8x - 12 = 0.

Mathematics

1 answer:

ivanzaharov [21]2 years ago

8 0

Answer:

constant = -12

Step-by-step explanation:

Let the given equation be

2x² + 8x - 12 = 0 --------(1)

Here B² =(2√2)^2 = 8

Add 8 in both sides of (1)

Step1 : 2x² + 8x + 4 = 12 + 4

Step 2: x² + 4x + 4 = 16

step 3 : x² + 4x + 4 - 16 = 0

Step 4: x² + 4x - 12 = 0 ---(4)

From the (4) we get constant = -12

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The volume for a rectangular prism is given by the formula V = l · w · h, where l is the length of the prism, w is the width of

Charra [1.4K]

Answer:

Step-by-step explanation:

devide 144 by 9

get 16

The base squared is 16

find the root of 16

get 4

4 is your awnser

4 0

2 years ago

Solve this system of equations: 5x + y = 7 20x + 2 = y

xz_007 [3.2K]

Answer:

x = 1/5, y = 6

Step-by-step explanation:

5x + y = 7

y = 7 - 5x

Set equations equal to each other to eliminate y

7 - 5x = 20x + 2

7 = 25x + 2

5 = 25x

x = 1/5

y = 7 - 5(1/5)

y = 7 - 1

y = 6

7 0

3 years ago

URGENT!! I NEED HELP ASAP NOT ROCKY

Anestetic [448]

Answer:

$9000

Step-by-step explanation:

Given

Monthly payment P = $300
Time t = 3 years = 36 months
Number of payments n = 36
Interest rate r = 12% PA = 1% per month = 0.01 times

Use loan payment formula:

P = r(PV) / (1 - (1 + r)⁻ⁿ),
where P- monthly payment, PV - present value (amount of the loan), r -rate of interest, n- number of payments

Substitute values and solve for PV:

300 = (0.01*PV) / (1 - (1 + 0.01)⁻³⁶)
PV = 300*(1 - 1.01⁻³⁶ )/ 0.01
PV = 9032.25 ≈ $9000 (rounded to the nearest hundred dollars)

4 0

2 years ago

Find the missing side, please

AVprozaik [17]

Answer:

a. √442, b. √540, c. 8

Step-by-step explanation:

remember that a^2 + b^2 = c^2

4 0

2 years ago

An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet.If the pool is fille

Furkat [3]

Answer:

The volume of the water in the pool is 1,017 cubic feet

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$r=18/2=9\ ft$ ----> the radius is half the diameter

Remember that

$1\ ft=12\ in$

$6\ in=6/12=0.5\ ft$

To find out the height of the water, subtract 0.5 feet from the height of the swimming pool

$h=4.5-0.5=4\ ft$

assume

$\pi =3.14$

Find the volume of the water

$V=(3.14)(9^{2})(4)$

$V=1,017\ ft^3$

3 0

2 years ago