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lbvjy [14]
3 years ago
10

Suzie made a mistake in the following problem.

Mathematics
2 answers:
olga2289 [7]3 years ago
7 0
It's line2, she replaced 42 with 16 for some reason..
Flura [38]3 years ago
5 0

Answer: it is not line 2. The 16 comes from 4^2 which is 4.4=16. And the correct one is line 4, since it supposed to divide 42 by 5 and add the result to 16


Step-by-step explanation:


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Mr. Smith is paid $9.50 per hour for fixing watches. Write an expression for the amount of money Mr. Smith earns in h hours. In
storchak [24]
9.50 + (2.20)r

For example if he fixed 3 watches

9.50 + (2.20)3

We plug in 3 for r and he makes 6.60 extra.
8 0
3 years ago
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Can someone please help with the last problem
Brut [27]

Answer:

  18x +9h

Step-by-step explanation:

Such problems are tedious, but not difficult. The trick is to avoid making mistakes in the algebra.

  \dfrac{f(x+h)-f(x)}{h}=\dfrac{(9(x+h)^2)-(9x^2)}{h}\\\\=\dfrac{9(x^2+2xh+h^2)-9x^2}{h}=\dfrac{18xh+9h^2}{h}=\boxed{18x+9h}

3 0
2 years ago
I'm trying to pass my performance task and finish high school and I have no idea what it really is asking me to do, rather how t
ElenaW [278]

Answer:

x

8

−

256

Rewrite  

x

8

as  

(

x

4

)

2

.

(

x

4

)

2

−

256

Rewrite  

256

as  

16

2

.

(

x

4

)

2

−

16

2

Since both terms are perfect squares, factor using the difference of squares formula,  

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where  

a

=

x

4

and  

b

=

16

.

(

x

4

+

16

)

(

x

4

−

16

)

Simplify.

Tap for more steps...

(

x

4

+

16

)

(

x

2

+

4

)

(

x

+

2

)

(

x

−

2

)

Step-by-step explanation:

3 0
3 years ago
899,765 rounded to the nearest hundred thousand
dlinn [17]

Answer:

900,000

Step-by-step explanation:

Round 500 and above so round up to 900,000.

Hope this helps plz hit the crown :D

8 0
2 years ago
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PLEASE HELP GUYS i am struggling so much, two questions
ankoles [38]

Answer: the equation of the standard parabola

1) (y-6)^2 = 4 (x-1)

The equation of the standard parabola

2) (x+5)^2 = 16(y-2)

Step-by-step explanation:

<u>Explanation </u>

<u>Parabola:-</u>

The set of points in a plane whose distance from a fixed point and a constant ratio to their corresponding perpendicular distance from a fixed straight line is a conic.

Let S be a fixed point and l be a fixed straight line from any point P,the perpendicular PM is drawn to the line 'l'

  • The locus of P such that \frac{SP}{PM} = constant
  • The fixed point  'S' is called the Focus.
  • The fixed line'l 'is called the directrix of the conic
  • The constant ratio is known as the eccentricity, denoted by 'e'
  • If e=1 , the conic is called a parabola

1) <u> Step 1</u> :-

Given the focus   S = (2,6) and directrix is x=0

we know that \frac{SP}{PM}=1

now cross multiplication , we get

SP = PM

squaring on both sides,we get

SP^{2} = PM^2

step 2:-

now using distance formula is

  • \sqrt(((x_{2}-x_{1})^2+(y_{2} -y_{1} )^2)

Given S =(2,6) and P(x,y) be any point on parabola

SP^2 = (x-2)^2+(y-6)^2........(1)

Now using perpendicular distance formula

let P(x , y ) be any point on the parabola

  • \frac{ax_{1}+by_{1}+c   }{\sqrt{a^2+b^2} }

Given the directrix is x =0 and P(x,y) be any point on parabola

PM^2 = \frac{x^2}{\sqrt{1}^2 }......(2)

equating equation(1) and equation (2), on simplification

we get (x-2)^2+(y-6)^2 = x^2.....(3)

  • apply (a-b)^2 = a^2+  b^2+2 ab

now the equation (3) is

(y-6)^2 = 4 x-4

now the standard form of parabola is

(y-k)^2 = 4 a(x-h)

<u>Final answer</u>:-

(y-6)^2 = 4 (x-1)

2) <u> Explanation:-</u>

<u>step 1:</u>

Given vertex of a parabola is A(-5,2) and its focus is S(-5,6)

here the given points of 'x'co- ordinates are equal

  • Therefore the axis AS is parallel to y- axis

now the standard equation of parabola

(x-h)^2 = 4 a (y-k)

now you have to find' a' value

Given vertex of a parabola is A(-5,2) and its focus is S(-5,6)

The distance of AS = \sqrt{(-5-(-5)^2+(2-6)^2}

 on simplification we get a =4

<u>Final answe</u>r :-

the vertex (h,k) = (-5,2) and a=4

(x-h)^2 = 4 a (y-k)

The standard parabola is (x+5)^2 = 16 (y-2)

5 0
3 years ago
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