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3 years ago

What number must you add to complete the square x^2-20x=17

Mathematics

1 answer:

crimeas [40]3 years ago

4 0

$(*)\ (a-b)^2=a^2-2ab+b^2$

$x^2-20x=17\\\\x^2-2\cdot x\cdot10=17\ \ \ |+10^2\\\\\underbrace{x^2-2\cdot x\cdot10+10^2}_{(*)}=17+10^2\\\\(x-10)^2=117$

Answer: 10² = 100

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Two boxes of apples contain a total of 24 apples. If you halve the number of apples in the first box and add 4 apples to the sec

maks197457 [2]

Step-by-step explanation:

let the no.s of apples in the one box be=x

then no.s of apples in the 2nd box =24-x

according to the question,

24-x+4=20

-x= 20-28

-x=-8

x= 8

no.s of apples in one box= 8

and no.s of apples in another box=24-8= 16

option C

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Galina-37 [17]

Answer:

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Step-by-step explanation:

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3 years ago

Solve the following quadratic equation by completing the square: x² + 12x = 15

Lerok [7]

Answer:

x = -1.14 or -13.14

Explanations:

The given equation is:

$x^2+12x\text{ = 15}$

Find the half of 12, and add the square to both sides of the equation.

That is add 6² to both sides

$x^2+12x\text{ + 6}^{2}\text{ = 15 + 6}^{2}$ $\begin{gathered} (x+6)^2\text{ = 15 + 3}6 \\ (x+6)^2\text{ = 51} \\ \end{gathered}$

Find the square root of both sides:

$\begin{gathered} \sqrt[]{(x+6)^2_{}}=\pm\sqrt[]{51} \\ \text{x + 6 = }\pm\sqrt[]{51} \\ x\text{ = -6 }\pm\sqrt[]{51} \\ \text{x = }-6\pm7.14 \\ x\text{ = -6+7.14 = }1.14 \\ x\text{ = -6 - 7.14} \\ \text{x = -13.14} \end{gathered}$

x = -1.14 or -13.14

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1 year ago

1 lb 0.454 kg About how many kilograms are in 21 pounds?

Semmy [17]

Answer:

21 Pounds =

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(rounded to 8 digits)

Step-by-step explanation:

Pounds : The pound or pound-mass (abbreviations: lb, lbm, lbm, ℔[1]) is a unit of mass with several definitions. Nowadays, the most common is the international avoirdupois pound which is legally defined as exactly 0.45359237 kilograms. A pound is equal to 16 ounces.
Kilograms : The kilogram (or kilogramme, SI symbol: kg), also known as the kilo, is the fundamental unit of mass in the International System of Units. Defined as being equal to the mass of the International Prototype Kilogram (IPK), that is almost exactly equal to the mass of one liter of water. The kilogram is the only SI base unit using an SI prefix ("kilo", symbol "k") as part of its name. The stability of kilogram is really important, for four of the seven fundamental units in the SI system are defined relative to it.

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2 years ago

Which segment is a diameter of this circle? Ο TX O VX Ο XY

professor190 [17]

Answer:

The answer is VX.

Step-by-step explanation:

This is because the line segment VX, reaches from one end of the circle to the other, touch both sides of the circle. The other options do not make sense since segment XY does not go through the center of the circle and TX is the radius of the circle. The radius is half the diameter of the circle.

Therefore, the answer is VX.

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3 years ago