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zvonat [6]
3 years ago
8

2x²-26x+84 (Factor COMPLETELY)

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0

\tt{} {2x}^{2}  - 26x + 84

\tt{}2 {(x}^{2}  - 13x + 42)

\tt{}2 {(x}^{2}  - 6x - 7x + 42)

\tt{}2( x \times (x - 6) - 7(x - 6))

\tt{}2(x - 6) \times (x - 7)

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Which equation can be used to determine the distance between the origin and (–2, –4)?
OleMash [197]

Answer:its option a

Step-by-step explanation: the distance formula is y sub 1 minus y sub 2

And x sub 1 minus y sub 2

8 0
3 years ago
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Susan has a pencil that is 3 centimeters shorter than this string. how long is the pencil? the thing is 11 centimeters
inna [77]
It is a total of 8 centimeters long
4 0
4 years ago
Please help me with this.
blondinia [14]

Answer:

D

Step-by-step explanation:

a,c,d are same but b is different.

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3 years ago
Rewrite as y−k=a(x−h)2 or x−h=a(y−k)2. Find the vertex, focus, and directrix.<br> y−3=(2−x)^2
Talja [164]

Given:

The given equation is

y-3=(2-x)^2

To find:

The vertex, focus, and directrix.

Solution:

The equation of a parabola is

y-k=a(x-h)^2     ...(i)

where, (h,k) is vertex, \left(h,k+\dfrac{1}{4a}\right) and directrix is y=k-\dfrac{1}{4a}

We have,

y-3=(2-x)^2

It can be written as

y-3=(-(x-2))^2

y-3=(x-2)^2    ...(ii)

On comparing (i) and (ii), we get

h=2,k=3,a=1

Vertex of the parabola is (2,3).

Focus=\left(2,3+\dfrac{1}{4(1)}\right)

Focus=\left(2,3+\dfrac{1}{4}\right)

Focus=\left(2,\dfrac{13}{4}\right)

Therefore, the focus of the parabola is \left(2,\dfrac{13}{4}\right).

Directrix of the parabola is

y=3-\dfrac{1}{4(1)}

y=3-\dfrac{1}{4}

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4 0
3 years ago
The school band sold 200 tickets to their conce
Kobotan [32]

Answer:

The  

90

adult tickets sold were  

45

%

of the  

200

tickets sold to the concert.

Explanation:

Since  

90

tickets out of  

200

were adult tickets, the percentage (represented as  

x

) can be calculated by this equation:

200

×

x

100

=

90

2

200

×

x

100

=

90

2

x

=

90

Divide both sides by  

2

.

x

=

45

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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