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fomenos
2 years ago
13

X^2+10x+19=0 complete the square PLEASE EXPLAIN

Mathematics
1 answer:
wlad13 [49]2 years ago
8 0

Answer:

Step-by-step explanation

In the form ax^2+bx+c

a x c should equal two factors of b

However, in this equation

1 x 19 has no factors that = 10

so you must use the Quadratic Formula which is,

x = \frac{-b+-\sqrt{b^2-4ac} }{2a}

so the answer should be

x = \frac{-10+-\sqrt{10^2-4(1)(19)} }{2(1)}

x = \frac{-10+-\sqrt{24} }{2}

x = \frac{-10+2\sqrt{6} }{2}      and    x = \frac{-10-2\sqrt{6} }{2}

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The mean is the average you're used to, where you add up all the numbers and then divide by the number of numbers. The median is the middle value in the list of numbers. The mode is the value that occurs most often.

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2 years ago
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What is the length of side s of the square shown below?
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Step-by-step explanation:

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6 0
3 years ago
a 400 g of a liquid of density 1.6g/cm3 is made from mixing liquids of density 1.2g/cm3 and 1.8g/cm3 find the mass of the liquid
gogolik [260]

Answer:

133.33g

Step-by-step explanation:

Let the:

Mass of 1.2g/cm³ of liquid = x

Mass of 1.8g/cm³ of liquid = y

From our Question above, our system of equations is given as:

x + y = 400........ Equation 1

x = 400 - y

1.2 × x + 1.8 × y = 1.6 × 400

1.2x + 1.8y = 640..... Equation 2

We substitute, 400 - y for x in Equation 2

1.2(400 - y) + 1.8y = 640

480 - 1.2y + 1.8y = 640

- 1.2y + 1.8y = 640 - 480

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y = 160/0.6y

y = 266.67 g

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x = 400 - y

x = 400 - 266.67g

x = 133.33g

Therefore, the mass of the liquid of density 1.2g/cm³ is 133.33g

7 0
3 years ago
A vehicle is purchased for $18,000, with a down payment of $6,098. The balance in financed for three years at an annual rate of
mestny [16]
The Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt)/(r/t)
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18,000 - 6,098 = P(1 - (1 + 0.07/12)^-(3 x 12)) / (0.07/12)
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Therefore, monthly payment = $367.50
7 0
2 years ago
Which scenario is represented by the equation below:
Papessa [141]
It's C I Believe Hope This Helpes

5 0
3 years ago
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