4 years ago

Complete the square to transform the expression x^2− 2x − 2 into the form a(x − h)^2+ k.

Mathematics

2 answers:

Pavel [41]4 years ago

7 0

Answer:

(x - 1)² - 3

Step-by-step explanation:

Given

x² - 2x - 2

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 2x

x² + 2(- 1)x + 1 - 1 - 2

= (x - 1)² - 3

julia-pushkina [17]4 years ago

6 0

Answer:

b. (x - 1)^2 - 3.

Step-by-step explanation:

x^2− 2x − 2 Note that x^2 - 2x is equivalent to (x - 1)^2 - 1 so we have:

(x - 1)^2 - 1 - 2

= (x - 1)^2 - 3.

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4 years ago

Street H is perpendicular to the line 2x –3y = –4 and goes (0, –6). Write this street’s equation in standard form.

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Answer:

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Step-by-step explanation:

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3 years ago

the sides of a rectangle are 25 cm and 8 cm. what is the measure, to the nearest degree, of the angle formed by the short side a

ycow [4]

Answer:

72°

Step-by-step explanation:

The lengths 25 cm and 8 cm are the sides of the rectangle.

See the attached diagram of rectangle ABCD.

Now, let us assume the diagonal AC makes x° angle with the shorter side BC i.e.∠ BCA = x°

So, using trigonometry we can write

$\tan x = \frac{AB}{BC} = \frac{25}{8} = 3.123$

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8 0

3 years ago

Is 3^100/3^99 greater than,less than, or equal to 3??

oksian1 [2.3K]

Answer:

$\frac{3^{100}}{3^{99}} = 3$

Step-by-step explanation:

$\frac{a^{m}}{a^{n}}=a^{m-n}, m>n\\\\$

Therefore,

$\frac{3^{100}}{3^{99}}=3^{100-99}=3^{1}=3\\\\\frac{3^{100}}{3^{99}} = 3$

6 0

3 years ago

Which expression is equivalent to 5(d+1)

timurjin [86]

the answer you are looking for is 5d+5

5 0

4 years ago

Read 2 more answers