Jon is 3 years younger than Laura. The product of their ages is 1,330. If j represents Jon’s age and represents Laura’s age, what value of j could be Jon’s age?

[tex]\large\underline{\sf{Solution-}}[/tex]

Let us assume that:

[tex] \sf \longmapsto x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ... \infty } } } [/tex]

We can also write it as:

[tex] \sf \longmapsto x = \sqrt{6 + x } [/tex]

Squaring both sides, we get:

[tex] \sf \longmapsto {x}^{2} =6 + x[/tex]

[tex] \sf \longmapsto {x}^{2} - x - 6 =0[/tex]

By splitting the middle term:

[tex] \sf \longmapsto {x}^{2} - 3x + 2x - 6 =0[/tex]

[tex] \sf \longmapsto x(x - 3) + 2(x - 3 ) =0[/tex]

[tex] \sf \longmapsto (x+ 2)(x - 3 ) =0[/tex]

Therefore:

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

[tex] \sf \longmapsto x = - 2,3[/tex]

But x cannot be negative.

[tex] \sf \longmapsto x = 3[/tex]

Therefore, the value of the expression is 3.

[tex]\large\underline{\sf{Verification-}}[/tex]

Given:

[tex]\sf\longmapsto x=3[/tex]

We can also write it as:

[tex]\sf\longmapsto x = \sqrt{9}[/tex]

[tex]\sf\longmapsto x = \sqrt{6+3}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{9}}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+3}}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{9}}}[/tex]

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+3}}}[/tex]

This pattern will continue.

[tex]\sf\longmapsto x = \sqrt{6 + \sqrt{6+\sqrt{6+...\infty}}}[/tex]

Answer/Step-by-step explanation:

To find the absolute difference, we simply have to see by how much pounds the estimation was off.

The real measure was 152 pounds, the estimated weight was 150.

D = 152- 150 = 2 pounds.

For the percent of error, we divide the absolute difference (52) by the real value () and we'll get the % of error.  So,

%D = 52 / 152 = 0.0034, so 0.34%  

Answer: 65

Step-by-step explanation:

Answer:

A= 2

B= 3

D=2

maka

A x B ÷C

2 x 3 ÷ 2

=6 ÷ 2

=3

Answer:

A= 2

B= 3

D=2

maka

A x B ÷C

2 x 3 ÷ 2

=6 ÷ 2

=3

Answer:

-3

Step-by-step explanation:

its very easy correct me if im wrong brainliest btw

Start with the small triangle on the right:

   35 + 96 + x = 180

   x = 49

Ah, you already have that.  Nice!

Now move to the biggest triangle:

   x + 77 + (35+y) = 180

but x = 49, so

   49 + 77 + 35+y = 180

   y = 19

Add 14 and 13+14=27...ans

Answer:

The x coordinate of S is b.

Step-by-step explanation:

a)

The coordinates of Point Q are:

(2a+2b)/2, 2c/2

= [(a + b), c].

The slope of the line AB

= (0-2c)/(2b-2a)

= -c/(b-a)

So The slope of the line QS = (b - a) / c = (b - a)/c.

Its equation is

y - c = (b - a)/c ( x - (a+b))

y = (b - a)/c ( x - (a+b)) + c.

The coordinates of Point P are:

(2a+0)/2, 2(c+ 0)/2

= (a, c)

The slope of the line AO

= (2c)/2a

= c/a

So The slope of the line PS = -a/c

Its equation is

y - c =  -a/c(x - a)

y  =  -a/c(x - a) + c

b)

So:

(b - a)/c ( x - (a+b)) + c

=  -a/c(x - a) + c

(b - a)(x - a - b) + c^2 = -a(x - a) + c^2

(b - a)(x - a - b) = -a(x - a)

bx - ab - b^2  - ax + a^2 + ab = -ax + a^2

bx - ax + ax + a^2 - a^2 - ab + ab = b^2

bx  =  b^2

x = b = the x coordinate of S.

c). The point R has the same x coordinate as S So RS is perpendicular to OB.

Answer:

5/6 inches

Step-by-step explanation:

An area of a square is basically length * width but the length and width are the same length so we can simply do the square root of (25/36)

5/6 is your final answer

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

x² = 12² + 10²

x² = 144 + 100

x² = 244

x = 2[tex]\bold{\sqrt{61}}[/tex]cm✔

Answer:

The definition of "perfect square" is: "A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer." For example, 16 would be a perfect square because [tex]4^{2}[/tex] would equal 16. But 12 is not a perfect square because no number could multiply by itself to get 12. I hope this helps you! :)

Answer:

-12×3 = -36.............

Answer:

to find the scale factor for a dilation, we would find the center point of dilation and measure the distance from this center point to a point on the shape from before (preimage) and also the distance from the center point to a point on the shape.

Answer:

0.070

Step-by-step explanation:

i think

Answer:

x = - 25 , x =  84

Step-by-step explanation:

Given f(x) = - [tex]\frac{3}{5}[/tex] x - 17 and f(x) = - 2 , then equate right sides

- [tex]\frac{3}{5}[/tex] x - 17 = - 2 ( add 17 to both sides )

- [tex]\frac{3}{5}[/tex] x = 15 ( multiply both sides by 5 to clear the fraction )

- 3x = 75 ( divide both sides by - 3 )

x = - 25

---------------------------------------------------------

Similarly equate right sides

- 11 - [tex]\frac{1}{6}[/tex] x = - 25 ( add 11 to both sides )

- [tex]\frac{1}{6}[/tex] x = - 14 ( multiply both sides by 6 to clear the fraction )

- x = - 84 ( multiply both sides by - 1 )

x =  84

I must speak in your language

ddddwfdwfd qdqfqfqqdqdqdqddqdqdq

Answer:

standerd form

Step-by-step explanation:

because it have to be in standerd form

Answer:

5k a month

Step-by-step explanation:

Answer:

Third Option: [tex]x=6[/tex] or [tex]x=-3[/tex]

Step-by-step explanation:

[tex]x^2+9x+18=0[/tex]

[tex](x+6)(x+3)=0[/tex]

[tex]x=6[/tex] or [tex]x=-3[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{-1}{3}x+1[/tex]

Here let's compare with slope intercept form

[tex]\\ \sf\longmapsto y=mx+b[/tex]

We get

y = mx + k

gradien = m

y=−1/3x+1

gradien = -1/3

btw, di indo jg ada gradien :)

Answer:

17

Step-by-step explanation:

[tex]perimeter = 2(length + breadth) \\ breadth = (perimeter \div 2) - length[/tex]

[tex]72 \div 2 = 36 \\ 36 - 19 = 17[/tex]

Answer:

y is 17 mm

Step-by-step explanation:

perimeter formula is p= 2l +2w

19 is width

19+19 = 38

72-38=34

34/2= 17

17 is length

I hope it is right:)

Answer:

B

Step-by-step explanation:

Answer:

p=-9x+900

-9 -9

= -100

divide 900/9

or the answer is 100