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Andreas93 [3]
2 years ago
14

Rewrite in vertex form. y=x2+2x+6

Mathematics
2 answers:
stiv31 [10]2 years ago
8 0

Answer:

y =  {x}^{2}  + 2x + 6 \\ y =   {( - 1 + i)}^{2}

mel-nik [20]2 years ago
8 0

Answe

 

y=(x+1)2+5

Step-by-step explanation:

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If the complement of an angle is 40 less than its supplement, find the angle.
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Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circ
bixtya [17]

Answer:

AB=2\sqrt{ab}

Step-by-step explanation:

From figure,

OA=a,  \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)

In triangle OO'D

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\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]

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6 0
3 years ago
If each 6 in. On the scale drawing below equals 3 feet, what is the actual area of the shape in square units?
Liono4ka [1.6K]

Answer:

32 ft²

Step-by-step explanation:

Assuming the diagram attached below similar to the one required to complete the question below.

From the diagram,

Actaul Area of a parallelogram (A) = Actual Base(b)× actual heigth(h)

A = bh.......................... Equation 1

From the question,

If each 6 in on the scale drawing equals 3 feet

Given:

base on the scale drawing = 8 in.

Actual base(b) = (8×3)/6 = 4 feet.

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Substitute these values into equation 1

A = 4×8

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Answer:

54!

Step-by-step explanation:

you add and subtract all the numbers!

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