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viktelen [127]
3 years ago
7

A part of Jennifer’s work is to solve the equation 2(6x^2-3)=11x^2-x is shown below

Mathematics
1 answer:
kotykmax [81]3 years ago
7 0

Answer:

Step-by-step explanation:

2(6x² - 3) = 11x² - x

2*6x² - 2*3 = 11x² - x

12x² - 6 = 11x² -x

Subtract 11x² from both sides

12x² - 11x² - 6 = -x

x² - 6 = -x

x² + x - 6= 0

Sum =1

Product = -6

Factors =  3 , (-2)              { 3*(-2)  = -6   & 3 +(-2) = 1}

x² + 3x - 2x - 6 = 0

x(x + 3) - 2(x + 3)= 0

(x +3)(x - 2) = 0

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An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and
docker41 [41]

Answer:

the distance of the Bird (B) from the plane (P)  is = 10779  ft

Step-by-step explanation:

From the given information:

a diagrammatic representation is attached below for better understanding and solution to the question.

From the diagram;

Let the Bird (B) be represent as A

The plane (P) be represented by B

The observer be represented by O

and the tower T be represented by C

we will see that:

\overline {AB}  \ \| \ \overline {OC}

Also;

\angle ABO = \angle BOC = 33^0

AO = BC = 7000

Let consider the trigonometry of  triangle BAO

tan θ = opposite/adjacent

tan 33° = 7000/x

0.6494 = 7000/x

x = 7000/0.6494

x = 10779.18

x = 10779  ft    ( to the nearest whole number)

Thus; the distance of the Bird (B) from the plane (P)  is = 10779  ft

7 0
3 years ago
What is the perimeter of this shape? A. 26 cm B. 24 cm C. 22 cm D. 18 cm PLEASE HELP
Citrus2011 [14]
Perimeter is adding all dimensions:
11 + 2 + 8 + 5 = 26 cm
 Answer is A
3 0
3 years ago
Read 2 more answers
A teacher has 100 pencils in a cup. 16 are more sharp than dull. How many are dull and how many are sharp?
Nadya [2.5K]
X = dull pencils 
y = sharp pencils
x + y = 100
y = x + 16 ~~Plug this back into your original x+y equation.
x+x+16=100 ==> 2x = 84 ==> x = 42. Plug this back into the y = equation
 y = 42 + 16 ==> y = 58.

42 Dull, 58 sharp.
8 0
3 years ago
2x = 5x - 30 how do i get x
solmaris [256]
Get x to one side by subtracting 2x by 5x.

-3x = -30

Then divide both sides by -3 to get x = 10

Have a nice day.
6 0
3 years ago
Solve 2(x-2) = 3(x+2)-8
IgorC [24]

Answer:

x = -2

Step-by-step explanation:

2(x-2) = 3(x+2)-8

Multiply the 2 and 3 out to the numbers in the parentheses. Don't multiply the 3 out to the -8 because it is outside of the parentheses.

2x-4 = 3x+6-8

Combine the 6 and -8

2x-4 = 3x-2

Subtract 2x from both sides

-4 = x-2

Add 2 to both sides

-2=x

7 0
3 years ago
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