Factor 9-4y^2

pls help... again

Answer:

D

Step-by-step explanation:

Find the vertex

¼(x-5) = (y-2)²

x-5 = 4(y-2)²

x = 4(y-2)² + 5

This is a right-opening parabola with vertex (5,2).

focal length p = 1/(4·coefficient of y²) = 0.0625

directrix: x = 5-p = 4.9375

D

The equation of directrix of the parabola will be x = 4, i.e. Option A.

Directrix is a straight line distance to which from any point of a conic section is in fixed ratio to the distance from the same point to a focus. The directrix is perpendicular to the axis of symmetry and does not touch the parabola.

We have,

[tex]\frac{1}{4} (x - 5) = (y - 2)^2[/tex]

Now,

Rewrite as,

[tex](x - 5) = 4(y - 2)^2[/tex]

Now,

[tex]x= 4(y - 2)^2+5[/tex]

Now,

Comparing it with the vertex form,

i.e.

[tex]x = a ( y - h )^ 2 + k[/tex]

Vertex of parabola = (2, 5),

So,

Focus at (a, 0),

So,

Focus of the parabola = (4, 0),

i.e., a = 4

Now,

The Equation of directrix is given by x = a

So,

The equation of the directrix of this parabola,

x - a = 0,

i.e.

x - 4 = 0

⇒

x = 4

Hence, we can say that the equation of directrix of the parabola will be x = 4, i.e. Option A.

To know more about directrix click here

https://brainly.com/question/4333610

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Answer:

i think

Step-by-step explanation:

Answer:

8x^2 + 18x - 35.

Step-by-step explanation:

Area = (4x - 5)(2x + 7)

= 8x^2 + 28x - 10x - 35

= 8x^2 + 18x - 35.

Answer:

the area of above figure is 0.31 cm^2

Answer:

A ≈ 0.03 cm²

Step-by-step explanation:

Area of a circle = πr²,

where π (pi) ≈ 3.14 or 22/7 as a close fraction is the ratio (factor) between the circumference and the diameter (2 times / twice the radius),

and r² is the radius squared or multiplied by itself once.

Given that the radius is 0.1 cm in this situation,

the area of this circle is as follows:

A = πr² → A = π (0.1)² cm² → π(0.01) cm² → 0.01π cm² →

(1/100)(π) cm² → π / 100 cm² → 3.14 / 100 cm² →

0.0314 cm² ≈ 0.03 cm²

Answer:

x=12

Step-by-step explanation:

the 2 triangles are proportionately identical.

the larger one is 1/3 larger, so x would be 9 plus 1/3 of 9- 12

Step-by-step explanation:

Since there are 3 w's and a 1 on one side and 7 1's on the other and the hanger diagram shows they are even, we can set them equal to each other.

3w + 1 = 7 Subtract 1 from both sides

3w = 6 Divide 3 from both sides

w = 2

Answer:

1 .4x2-9= 2x+3,2x-3

2 .16x2-1=4x-1,4x+1

3 .16x2-4=4(2x+1)(2x-1)

4 .4x2-1=(2x+1)(2x-1)

Step-by-step explanation:

16x² − 1  = (4x − 1)(4x + 1) ;  16x² − 4  = 4(2x + 1)(2x − 1); 4x² − 1  = (2x + 1)(2x − 1) ;

4x² − 9 = (2x + 3)(2x − 3)

16x² − 1  is the difference of squares.  This is because 16x² is a perfect square, as is 1.  To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.

The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).

16x² − 4 is also the difference of squares.  The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2).  However, we can also factor a 2 out of each of these binomials; this gives us

2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)

4x² − 1  is also the difference of squares.  The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).

4x² − 9 is also the difference of squares.  The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).

Answer:

Have a great rest of your day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Where are the graphs?

Answer:

20%

Step-by-step explanation:

4+5+3 equals 12. in all, all of the frequencies combined is 30. because of that, it equals 20%. pls give brainliest

Answer:

its less than one i think cause ive answered this same question not to long ago

Step-by-step explanation:

Answer:it’s greater than

Step-by-step explanation: because in the measures of DEF those are bigger

Answer:

23

Step-by-step explanation:

20+3=23

Answer:

1 Adult ticket=$35

1 Children ticket=$20

Step-by-step explanation:

21C+15A=945

6C+6A=330

we find adult tickets 1st

42C+30A=1890

42C+42A=2310

12A=420

A=35

we will find children ticket next

42c+30a=1890

30c+30a=1650

12c=240

C=20

Answer:

30 ft^2

Step-by-step explanation:

Break the figure into smaller pieces:

5*2=10

10*2=20

Add the areas

20+10=30

The are of the figure is 30 ft^2

Answer:

√{395×395}=√395²=395 is your answer

Answer:

Answer:

43

Step-by-step explanation:

Answer:

2

There is a picture the website is Math-way I use it all the time to help out or just to check my answers.

Answer:

i was abt to answer but too late prolly

Step-by-step explanation:

if u still wanna know,

Answer:

3

Step-by-step explanation:

ill reply to this gimmie a moment

Answer:

(-∞, 3] or x[tex]\leq[/tex]3

Step-by-step explanation:[tex]inf[/tex]

we treat it like a normal linear problem.

We can add 3 on both sides to get:

-10w[tex]\leq[/tex]-30

we can divide both sides by -10 to get...

w[tex]\leq[/tex]3

Or if nessessary, the interval notation is (-∞, 3]

Hope this helped!

Answer:

x^3-2x^2-5x+6

Step-by-step explanation:

Answer:

41/91

Step-by-step explanation:

edggggge

Answer:

D. y= 2/3x-2

Step-by-step explanation:

y=6-2x/-3

-2+2/3x

2/3x-2=y

Answer:

B

Step-by-step explanation:

Answer:

The graph shows a relation and a function

Step-by-step explanation:

Because there is one value of y for every value of x, this is a relation and a function.

Answer:

relation because the x does not repeat

Answer:

A's coordinates are:

A. (-4, 3)

Step-by-step explanation:

Because the x  always goes first,

So that will mean -4 will go first.

After you have -4 down, you will see that A's point on the graph is (-4, ?)

To answer the ?, you will have to check the y.

Because remember, The x-coordinate always comes first, followed by the y-coordinate.

So, it will be (-4, 3)

and 3 will be the fill in for y.

I hope this helps     :)

Answer:

148

Step-by-step explanation:

Answer:

Da^^ good luck that looks hard

Step-by-step explanation:

Answer:

The two numbers are 9 and 11