All categories

4 years ago

HELP PLEASE!!

Mathematics

1 answer:

Alja [10]4 years ago

5 0

Answer:

1. y = (1/6)(x +5)^2 -4.5

2. y = (-1/20)(x -10)^2 +1

Step-by-step explanation:

For focus (p, q) and directrix y=r, the equation is ...

y = 1/(2(q-r))·(x -p)^2 +(q+r)/2

___

1. For (p, q) = (-5, -3) and r = -6, the equation is ...

y = 1/(2(-3-(-6))(x -(-5))^2 +(-3-6)/2

y = 1/6(x +5)^2 -4.5

___

2. for (p, q) = (10, -4) and r = 6, the equation is ...

y = 1/(2(-4-6))(x -10)^2 +(-4+6)/2

y = (-1/20)(x -10)^2 +1

You might be interested in

I have to simplify this. It says assume that all variables in the variable in the denominator are nonzero. Leave your answer in

ra1l [238]

I wish I could help u but I can’t

7 0

4 years ago

Christian reads 14 book every 23 week. How many books does Christian read per week?

DedPeter [7]

Answer:

0.609 / week ( to nearest thousandth)

or you can state it as 60.9% of a book per week

Step-by-step explanation:

That would be 14/23 = 0.609 / week

6 0

3 years ago

Geometry pls help !!! Find the value of AB.<br> AB = [?]

V125BC [204]

Answer:

AB = 16 Units

Step-by-step explanation:

In the given figure, CD is the diameter and AB is the chord of the circle.

Since, diameter of the circle bisects the chord at right angle.

Therefore, AE = 1/2 AB

Or AB = 2AE...(1)

Let the center of the circle be given by O. Join OA.

OA = OD = 10 (Radii of same circle)

Triangle OAE is right triangle.

Now, by Pythagoras theorem:

$OA^2 = AE^2 + OE^2 \\10^2 = AE^2 + 6^2 \\100= AE^2 + 36\\100-36 = AE^2 \\64= AE^2 \\AE = \sqrt{64}\\AE = 8 \\\because AB = 2AE..[From \: equation\: (1)] \\\therefore AB = 2\times 8\\\huge \purple {\boxed {AB = 16 \: Units}}$

4 0

3 years ago

F(x) = -2x + 9, find x if f(x) = 23

JulijaS [17]

Answer:

x = -7

Step-by-step explanation:

f(x) = -2x + 9

f(x) = 23

therefore, f(x) =

-2x + 9 = 23

-2x = 23 - 9

-2x = 14

-x = 14 ÷ 2

-x = 7

x = -7

7 0

4 years ago

Convert to the product of multiplication<br>a^2-b^2-4b-4

kirill [66]

$a^2-b^2-4b-4$ in form of multiplication is $(a-b)(a+b)-4(b+1)$ .

<u>Step-by-step explanation:</u>

We know that factors are the numbers that are being multiplied together . As 6532*7 = 45724 .Here 6532 & 7 are the factors and 45724 is product of the factors .

Here , we need to convert to the product of multiplication

a^2-b^2-4b-4 or , $a^2-b^2-4b-4$ :

⇒ $a^2-b^2-4b-4$

We know by identity that , $p^2-q^2 = (p-q)(p+q)$

⇒ $(a-b)(a+b)-4b-4$

Taking common term out as -4 :

⇒ $(a-b)(a+b)-4(b+1)$

Therefore , $a^2-b^2-4b-4$ in form of multiplication is $(a-b)(a+b)-4(b+1)$ .

7 0

3 years ago