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lawyer [7]
3 years ago
12

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

Mathematics
2 answers:
Pavel [41]3 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]3 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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What is the area of the composite figure? (6π 4) cm2 (6π 16) cm2 (12π 4) cm2 (12π 16) cm2
raketka [301]

The area of the considered composite figure is given by: Option: 6π + 16 cm²

<h3>How to calculate the surface area of a composite figure?</h3>

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

\text{Area of composite figure} = \sum (\text{Area of composing figures})

That ∑ sign shows "sum"

For this case, the missing image is attached below.

As visible, the area of the figure = Sum of area of those 3 semi circles + Area of that square(its square because it has 4 equal sides in which adjacent sides are perpendicular) in between.

The side of the square is of 2+2=4 cm( as half of its side is 2 cm), thus, Area of that square = 4² = 16 cm²

All those 3 semicircles has radius = 2 cm

Since radius is same, so area of those 3 semicircle is same = \dfrac{\pi r^2}{2} = \dfrac{\pi (2)^2}{2} = 2 \pi\: \rm cm^2

Thus, we get:

Area of the composite figure = 2 \pi +2 \pi +2 \pi  + 16 \: \rm cm^2 = 6 \pi+ 16 \: \rm cm^2

Learn more about area of a composite figure here:

brainly.com/question/10254615

6 0
2 years ago
Which of the binomials below is a factor of this trinomial? 5x2 + 20x + 15
e-lub [12.9K]
Factor the following:
5 x^2 + 20 x + 15

Factor 5 out of 5 x^2 + 20 x + 15:
5 (x^2 + 4 x + 3)

The factors of 3 that sum to 4 are 3 and 1. So, x^2 + 4 x + 3 = (x + 3) (x + 1):

Answer:  5 (x + 3) (x + 1)
5 0
3 years ago
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vovikov84 [41]

Answer: C \sqrt 15

Step-by-step explanation:

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1 year ago
What values of a, b, and cwould you use in the quadratic formula for the following equation?
Soloha48 [4]

Answer:

Step-by-step explanation:32

5 0
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Scott start his banking account with 150 and is spending $7 per day on lunch . How would one describe the graph of this model?
wolverine [178]

Answer:

So this is giving us the slope the slope is y=-7x+150

Step-by-step explanation:

It is giving us the Y intercept which is $150  because thats how much he starts out with

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