MATHEMATICS MIDDLE SCHOOL

What are the zeroes of f(x) = x2 - 2x - 3?x= -3,1
x= -3, -1
X= 3,1
x=3, -1

Answers

Answer 1
Answer:

Answer:

{-1, 3}

Step-by-step explanation:

Please use " ^ " to denote exponentiation:   f(x) = x^2 - 2x - 3.

To find the zeros of this quadratic, set it equal to zero first:

f(x) = x^2 - 2x - 3 = 0.

Now factor this result:  (x - 3)(x + 1) = 0.

The zeros are {-1, 3}

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A kite has a string that is 300 ft long, The flying kite forms a 62°angle with ahorizontal line running parallel to the ground the bottom end of the string
is 6 ft off the ground. How high is the kite? Round your answer to the nearest
tenth

Answers

The height of the kite from the ground is 270 feet.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

                                    B

                              /      |

        300 ft      /            |

                   /                 |

             /                       |

       /                             |

  A_62°___________|C

  |                      

  |   6 feet

E|________________D

Now,

Sin 62° = BC/AB

0.88 = BC/300

BC = 0.88 x 300

BC = 264 ft

Now,

The height of the kite from the ground.

= BC + CD

= 264 + 6

= 270 ft

Thus,

The height of the kite from the ground is 270 feet.

Learn more about trigonometricidentities here:

brainly.com/question/14746686

#SPJ5

Answer:

270.9 ft

Step-by-step explanation:

6 + 300sin(62)

= 270.8842779 ft

The distance from the school to the corner is 0.9 kilometers.How nany meters is this

Answers

900 meters is how many meters in 0.9 kilometers

What is the least number that has four are factors that are all the same each factor is greater than one can only have one of itself as the factors explain how you found the number

Answers

i found it because i learned this before so it is 6

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6? left 1 unit, up 5 units right 1 unit, up 5 units left 2 units, up 2 units right 2 units, up 2 units

Answers

Answer:

  1. Shift left by 1 unit
  2. Shift up by 5 units  

Step-by-step explanation:

In order to answer this question first we have to convert g(x) into vertex form.

g(x)=x^(2)+2x+6\ng(x)=x^(2)+2(x)(1)+(1)^(2)+5\ng(x)=(x+1)^(2)+5

Now from this form we can visualize the transformations made to f(x) to get the graph of g(x).

Addition of 2 in x means that graph of f(x) = x2 is shifted 1 unit to left to get (x + 1)² .

Addition of 5 in the function value indicates that the graph is shifted 5 units up.

So the changes which have been made to f(x) in order to get g(x) are:

  1. Shift left by 1 unit
  2. Shift up by 5 units  

Hey guys PLEASE HELP ME SO THIS ONE IS TRICKY AND COMPLEX I APPRECIATE IF SOMEONE REACHES OUT AND HELPS. 2X+Y=-147X-4Y=-19 OK SO FAR I TOOK THE second equation and added 4y to both sides which then resulted in 7x=4y-19 did i do something wrong?

Answers

You can certainly start out that way, but when you solve that equation for x, it's a little more complex than if you started with the other equation.  I usually start with the most simple equation first.  Let's take the first equation and solve for y... that will leave us without any fractions to deal with.

2x + y = -14
y = -14 - 2x

Now we have a y value and we can substitute it back into the other equation.  So we will replace y in the second equation with (-14 - 2x).
That will leave us with just the x as a variable and we can solve for x.

7x - 4y = -19
7x - 4(-14 - 2x) = -19      multiply the -4 through the parentheses
7x + 56 + 8x = -19          combine like terms
15x + 56 = -19                subtract 56 from each side
15x = -75                         divide each side by 15
x = -5

Now we have a value for x that we can substitute back into either of the original equations and then solve for y.  I usually go with the easier equation, but it doesn't matter.  Let's use the first one...

2x + y = -14
2(-5) + y = -14              multiply the 2 through the parentheses
-10 + y = -14                 add 10 to each side
y = -4

So your ordered pair is

(-5, -4)

That is where the 2 lines are equal to one another, so that's the point where they they intersect.

Note***  You can start these problems with either equation and solving for either x or y... it doesn't matter.  After you substitute the values into the other equation it will work out the same.

What is the median of the data? 12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18 A. 15 B. 17 C. 14 D. 16

Answers

all you need to do is put them in order least to great and find center number
if theres two then you just add both of them up and divide by 2
 and the median is 14
the answer is 14 good luck
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