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Firlakuza [10]
3 years ago
9

For number 28 you need to use point-slope form, which is y-y1=m(x-x1), through the points (4, 2) and (-2, 5)

Mathematics
1 answer:
Illusion [34]3 years ago
8 0

28) Slope is (5-2)/(-2-4) = 3/-6 = -1/2 so a possible point-slope form is

y - 2 = -1/2(x-4)

29) y = -2 is a horizontal line. If you are wanting a line perp. to a horizontal line, you get a vertical line of the form x = a. Since it passes through (-2,-1), the point slope form is just x = -2 (there's no real point slope form because there is no y. vertical line does not care about y; all the y-values are on the vertical line)

30) Since 25*3 = 75, √(75) = √(25*3)=√25 * √3 = 5√3

31) √128 = √(64 * 2) = 8√2

32) √144 = 12 because 12*12 = 144

33) 4√(54) = 4√(9*6) = 12√6

34) 2√(32) = 2√(16*2) = 8√2

35) -6√175 = -6√(25*7) = -30√7

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saul85 [17]

\large\underline{\sf{Solution-}}

<u>Let us assume that:</u>

\sf \longmapsto x =  \sqrt{6 +  \sqrt{6 +  \sqrt{6 + ... \infty } } }

We can also write it as:

\sf \longmapsto x =  \sqrt{6 +  x }

Squaring both sides, we get:

\sf \longmapsto  {x}^{2}  =6 +  x

\sf \longmapsto  {x}^{2} - x - 6  =0

By splitting the middle term:

\sf \longmapsto  {x}^{2} - 3x + 2x - 6  =0

\sf \longmapsto x(x - 3) + 2(x - 3 ) =0

\sf \longmapsto (x+ 2)(x - 3 ) =0

<u>Therefore:</u>

\longmapsto\begin{cases} \sf (x+ 2) =0 \\ \sf (x - 3) = 0 \end{cases}

\sf \longmapsto x =  - 2,3

<u>But x cannot be negative. </u>

\sf \longmapsto x = 3

Therefore, the value of the expression is 3.

\large\underline{\sf{Verification-}}

Given:

\sf\longmapsto x=3

We can also write it as:

\sf\longmapsto x = \sqrt{9}

\sf\longmapsto x = \sqrt{6+3}

\sf\longmapsto x = \sqrt{6 + \sqrt{9}}

\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}

\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}

\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}

This pattern will continue.

\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}

7 0
3 years ago
How to graph -x+y=-6 , 3x+5y=2
Grace [21]
Solve for y for both
6 0
3 years ago
What is the answer to <br> -x/4-2=x+3
lyudmila [28]

Answer:

-4

Step-by-step explanation:

6 0
3 years ago
Solve:<br> a.) 2y - 1 = 12<br> b.) 4x + 1 = 19
rjkz [21]
A. answer is: y = 13/2  OR you can say 6.5 after you simplyfi
                       13 over 2

b. answer is: x = 18/4  OR you can say 4.5 after you simplyfi
                        18 over 4 

Thank you :)
bye bye later on x_x
3 0
3 years ago
PLEASE HELP!<br> Question in picture below!
qaws [65]

Answer:

x = 13/8

Step-by-step explanation:

sqrt(8x-4) +8 = 11

Subtract 8 from each side

sqrt(8x-4) +8-8 = 11-8

sqrt(8x-4) =3

Square each side

(sqrt(8x-4))^2 =3^2

8x-4 = 9

Add 4 to each side

8x-4+4 = 9+4

8x = 13

Divide by 8

8x/8 = 13/8

x = 13/8

6 0
3 years ago
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