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3 years ago

Rewrite the equation x^2-4x+9=5 in the form (x-p)^2=q

Mathematics

1 answer:

yulyashka [42]3 years ago

4 0

Answer:

(x - 2)² = 0

Step-by-step explanation:

given x² - 4x + 9 = 5 ( subtract 5 from both sides )

x² - 4x + 4 = 0

This is a perfect square of the form

(x - a)² = x² - 2a + a²

compare coefficients of the x-term

- 2a = - 4 ⇒ a = 2

⇒ (x - 2)² = 0 ← is the required form

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natka813 [3]

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Step-by-step explanation:

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3 years ago

List all the factors of 36

OLEGan [10]

The factors of 36 are:
1,2,3,4,6,9,12,18,36.

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3 years ago

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ryzh [129]

Answer:

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4 years ago

Find the Y-coordinate of point P that lies 1/3 along segment RS, where R (-7, -2) and S (2, 4).

QveST [7]

Solution:

Given that the point P lies 1/3 along the segment RS as shown below:

To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have

$\begin{gathered} RP:PS \\ \Rightarrow\frac{1}{3}:\frac{2}{3} \\ thus,\text{ we have} \\ 1:2 \end{gathered}$

Using the section formula expressed as

$[\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}]$

In this case,

$\begin{gathered} m=1 \\ n=2 \end{gathered}$

where

$\begin{gathered} x_1=-7 \\ y_1=-2 \\ x_2=2 \\ y_2=4 \end{gathered}$

Thus, by substitution, we have

$\begin{gathered} [\frac{1(2)+2(-7)}{1+2},\frac{1(4)+2(-2)}{1+2}] \\ \Rightarrow[\frac{2-14}{3},\frac{4-4}{3}] \\ =[-4,\text{ 0\rbrack} \end{gathered}$

Hence, the y-coordinate of the point P is

$0$

8 0

2 years ago

Can anyone help me with this? thank you

wel

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In the middle of the night

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I'm yours to tame

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I'm wide awake

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'Til morning comes

I'm getting what is mine

You gon' get yours, oh no, ooh

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These burning flames, these crashing waves

Wash over me like a hurricane

I captivate, you're hypnotized

Feel powerful, but it's me again

Come, lay me down

'Cause I know this

'Cause I know this sound

In the middle of the night

Just call my name

I'm yours to tame

In the middle of the night

I'm wide awake

I crave your taste all night long

'Til morning comes

I'm getting what is mine

You gon' get yours, oh no, ooh

In the middle of the night

In the middle of the night, oh

Just call on me, ah

Just call my name

Like you mean it, ah

In the middle of the night

Just call my name

I'm yours to tame

In the middle of the night

I'm wide awake

I crave your taste all night long

'Til morning comes

I'm getting what is mine

You gon' get yours, oh

In the middle of the night

In the middle of the night, o

Step-by-step explanation:

5 0

2 years ago