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IrinaK [193]
2 years ago
14

Please help with question 1

Mathematics
1 answer:
Shkiper50 [21]2 years ago
8 0

Answer:

  y = (5/9)(x -2)(x +6)

Step-by-step explanation:

When a polynomial has a zero (p, 0), it has a factor (x -p).

The given zeros mean the factored form of the equation will be ...

  y = a(x -2)(x +6)

The given point will mean the value of 'a' will satisfy ...

  (x, y) = (3, 5)

  5 = a(3 -2)(3 +6) = 9a

  a = 5/9 . . . . . . . . . . . . . . divide by the coefficient of 'a'

The factored equation is ...

  y = (5/9)(x -2)(x +6)

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Neptune is 4.5 billion kilometers from the<br> sun. Represent this number in scientific<br> notation
Tanya [424]

Answer:

4.5 x 10 ^9

Step-by-step explanation:

5 0
3 years ago
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QUESTION IS DOW BELOW 30 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
ivann1987 [24]

The required solution is ∠RQT =  202°  and ∠QTS = 51°

<h3 />

<h3>What is a cyclic quadrilateral?</h3>

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also called as inscribed quadrilateral.

Its main property is that the sum of opposite angles of inscribed quadrilateral is always 180 degrees.

Now, the given circle has a cyclic quadrilateral QRST in which it is given that  ∠RQT =  202° and ∠QRS = 129°

Since,sum of the opposite angles of a cyclic quadrilateral =  180°  

⇒∠QTS + ∠QRS = 180°

⇒ ∠QTS  + ∠129° = 180°

⇒ ∠QTS = 180° - ∠129°

⇒ ∠QTS = 51°

Hence,the requires angles are ∠RQT =  202° and ∠QTS = 51°.

More about cyclic quadrilateral :

brainly.com/question/14323008

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5 0
2 years ago
A line passes through the point ( 18 , − 11 ) and has a slope of − 5 . Write an equation in slope-intercept form for this line.
fenix001 [56]

Answer:

The equation of the line in the slope-intercept form is y = -5x + 79

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept

∵ The slope of the line is -5

∴ m = -5

∵ The form of the equation is y = m x + b

→ Substitute the values of m in the form of the equation

∴ y = -5x + b

→ To find b substitute x and y in the equation by the coordinates

   of any point on the line

∵ The line passes through the point (18, -11)

∴ x = 18 and y = -11

∵ -11 = -5(18) + b

∴ -11 = -90 + b

→ Add 90 to both sides to find b

∵ -11 + 90 = -90 + 90 + b

∴ 79 = b

→ Substitute it in the equation

∴ y = -5x + 79

∴ The equation of the line in the slope-intercept form is y = -5x + 79

7 0
3 years ago
I have 2 questions, they're similar, but i have no idea. can someone please help me.
Dimas [21]

Answer:

First Picture:

\sqrt{x} -3=3-\sqrt{x}\\\\\x-3=0\\  +3  +3\\x=3

Second Picture:

2/3(9x-6)-4=9x-6

(6x-4-4=9x-6\\6x-8=9x-6\\   -9        -9\\\\-3x-8=-6\\      \\+8  +8\\-3x=2\\\\x=-2/3

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3 years ago
If Bob sells each fish at a profit of $1.25, how much money will he have after selling all 24 fish? Show your calculation.
Aleks04 [339]

Answer:  $30

Step-by-step explanation:

So if Bob sells his fish at a profit of $1.25 and he has 24 fish to sell then 1.25*24= 30

(I'm assuming what you mean by "how much money he will have" is profit)

3 0
2 years ago
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