convert the following equation from standard form to slope- intercept form. pls and thank you

[tex]\bold{\huge{\underline{ Solution\: C }}}[/tex]

Here,

By using basic proportionality theorem

[tex]\sf{\dfrac{ x }{ x + 16 }}{\sf{=}}{\sf{\dfrac{9}{12 + 9}}}[/tex]

By cross multiplication ,

[tex]\sf{ 21x = 9( x + 16)}[/tex]

[tex]\sf{ 21x = 9x + 144}[/tex]

[tex]\sf{ 21x - 9x = 144}[/tex]

[tex]\sf{ 12x = 144}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{ 144}{12}}}[/tex]

[tex]\bold{ x = 12}[/tex]

Hence, The value of x is 12

Here also ,

By using basic proportionality theorem :-

[tex]\sf{\dfrac{ 4 }{ 4 + 10 }}{\sf{=}}{\sf{\dfrac{6}{x +6}}}[/tex]

[tex]\sf{\dfrac{ 4 }{ 14 }}{\sf{=}}{\sf{\dfrac{6}{x +6}}}[/tex]

By cross multiplication ,

[tex]\sf{ 4(x + 6) = 6 {\times} 14}[/tex]

[tex]\sf{ 4x + 24 = 84}[/tex]

[tex]\sf{ 4x = 84 - 24}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{ 60}{4}}}[/tex]

[tex]\bold{ x = 15}[/tex]

Hence, The value of x is 15 .

[tex]\bold{\huge{\underline{ Solution\: D }}}[/tex]

Here,

In triangle JHL and In triangle JKL

By using similarity theorem

[tex]\sf{\dfrac{ JH }{ JK}}{\sf{=}}{\sf{\dfrac{HL}{KL}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 12 }{ 15 }}{\sf{=}}{\sf{\dfrac{18}{KL}}}[/tex]

By cross multiplication

[tex]\sf{ 12( KL) = 18 {\times} 15}[/tex]

[tex]\sf{ 12(KL) = 270}[/tex]

[tex]\sf{ KL = }{\sf{\dfrac{ 270}{12}}}[/tex]

[tex]\bold{ KL = 22.5 }[/tex]

Hence, The length of KL is 22.5

Here also,

In triangle JHL and In triangle JKL

By using similarity theorem :-

[tex]\sf{\dfrac{ JH }{ JK}}{\sf{=}}{\sf{\dfrac{HL}{KL}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 14 }{ 20}}{\sf{=}}{\sf{\dfrac{HL}{6}}}[/tex]

[tex]\sf{\dfrac{ 7 }{ 10}}{\sf{=}}{\sf{\dfrac{HL}{6}}}[/tex]

[tex]\sf{\dfrac{ 7 }{ 10}}{\sf{{\times} 6= HL }}[/tex]

[tex]\sf{\dfrac{ 7 }{ 5 }}{\sf{{\times} 3 = HL }}[/tex]

[tex]\sf{\dfrac{ 21 }{ 5}}{\sf{ = HL }}[/tex]

[tex]\bold{ HL = 4.2 }[/tex]

Hence, The length of HL is 4.2 .

[tex]\\ \rm\Rrightarrow 16\div (2+1/2)^2[/tex]

[tex]\\ \rm\Rrightarrow 16\div(5/2)^2[/tex]

[tex]\\ \rm\Rrightarrow 16\div 25/4[/tex]

[tex]\\ \rm\Rrightarrow 16\div 4/25[/tex]

[tex]\\ \rm\Rrightarrow 64/25[/tex]

[tex]\\ \rm\Rrightarrow 2\dfrac{14}{25}[/tex]

Answer:

Step-by-step explanation:

16÷(2+1/2)^2

= 4^2÷(2+1/2)^2

= (4÷(2+1/2))^2

= (4÷(5/2))^2

= (4*2÷5)^2

= 64÷25

= 2 14/25

Answer:

36 cm

Step-by-step explanation:

arc length = r × θ

32π = r × 8/9π

r = 36

The radius of the circle is 36 centimeters when the arc length is 32 centimeters and the corresponding central angle is (8/9)π radians.

A circle's arc is defined as a portion or segment of its circumference.

The length of an arc, s. of a circle having a radius r, with the central angle θ, is given as s = rθ.

In the question, we are given an arc of a circle having a length (s) = 32π centimeters, and the corresponding central angle (θ) = (8/9)π radians.

We are asked to find the radius (r) of the circle.

We know that the arc length is the product of the radius and the central angle, that is, s = rθ.

Following this, we can write:

32π = r(8/9)π,

or, r = (32π*9)/(8π) = 36.

Therefore, the radius of the circle is 36 centimeters.

Learn more about arc length at

https://brainly.com/question/2005046

#SPJ2

Answer:

71 m x 45 m

Step-by-step explanation:

Length = x, Width = y

x * y = 3,195

2(x + y) = 232, so

x + y = 232/2 = 116, they y = 116 - x

x * (116 - x) = 3,195

116x - x² = 3,195

x² - 116x +[tex]x = \frac{116\pm\sqrt{116^2-4*3195}}{2}[/tex] = 71,    45

so x = 71, y = 45

Answer:

Step-by-step explanation:

SEE EXAMPLE p. 323 Find each measure. 3. NA 4. XZ. ... Find each measure. 3. NA 4. XZ 10.2 5. NZ 5.6 M M 7. mZYXZ 6. m LMN 8. mZXLM N 29° Z ...

Answer:

Trevor will need 2 drops of lavender oil if he uses 5 drops of rose oil.

Step-by-step explanation:

If 15/5 = 3

Then, all we have to do is 6/3=2.

So hence, Trevor will need 2 drops of lavender oil if he uses 5 drops of rose oil.

Thanks

Answer:

4320

Step-by-step explanation:

We need to multiply the time value by 1440, so 3 x 1440 = 4320.

Answer:

47 or 50 will be your answer, my apologies if it's wrong

Step-by-step explanation:

Measure 5 (property taxes) Ballot Measure 5, an initiative passed by Oregon voters in November 1990, fundamentally changed Oregon’s property tax and public school funding systems. Voter approval of Measure 5, and of Measure 47 in 1996 and Measure 50 in 1997, demonstrated the great force of anti-tax fervor in that decade.

Answer:

Step-by-step explanation:

The first three options are correct.

The last option is incorrect as same side interior angles are supplementary, so they should sum to 180° but in the given option their sum is 100°.

Answer:

D

Step-by-step explanation:

Smae side interior angles are supplementary i.e they have sum 180°

If one is 50°

Then other one must be 180-50=130°

Answer:

700$

Step-by-step explanation:

Answer:

48=2/3

48×3÷2= Marcus older brother height

72 inches

Answer:

I'm sorry, but i cant give the whole answer. But every third of the trip the car loses 18 liters. So sorry i cants say full thing.

Step-by-step explanation:

Answer: 141.3

Step-by-step explanation:

I got it correct

The secant of the angle through a point (-5, 3) is -13/5  

The equation of a circle with center (0,0) is given by

x² + y² = r² where r = radius of circle

Now, comparing this to the equation of the given circle x² + y² = 169,

⇒ r² = 169

r = √169

r = 13

The secant of the angle through a point (x, y) is secФ = r/x where

Now for the point A(-5,12), x = -5.

Since r = 13

secФ = r/x

= 13/-5

= -13/5  

So, The secant of the angle through a point (-5, 3) is -13/5  

Learn more about secant of an angle here:

https://brainly.com/question/14910565

Answer:

Step-by-step explanation:

Answer:

0.41

Step-by-step explanation:

p (A) = 0.2

P (B) =?

P (A or B) = 0.61

but P (A or B) = P (A) + P (B)

therefore P(B) = P (A or B) - P(B)

= 0.61 - 0.2

= 0.41

Answer:

Get some sleep...

Step-by-step explanation:

Answer:

[tex]\tt C) \:\tt f^{-1}(x)=\cfrac{x-6}{3}[/tex]

Step-by-step explanation:

We're given,

[tex]\tt f(x) = 3x + 6[/tex]

~

[tex]\tt y=3x+6[/tex]

[tex]\tt x=3y+6[/tex]

[tex]\tt x-6=3y[/tex]

[tex]\tt y=\cfrac{x-6}{3}[/tex]

[tex]\tt f^{-1}(x)=\cfrac{x-6}{3}[/tex]

~

Answer:

9 days is neeeded for Nadia to reach her goal

Answer:

  {-3, -1, 1, 3}

Step-by-step explanation:

The range is the set of function values corresponding to the values in the domain. They are generally sorted into numerical order.

  range = {-3, -1, 1, 3}

__

Each value is found by evaluating the function at the domain value:

  f(-1) = 1 -2(-1) = 3

  f(0) = 1 -0 = 1

  f(1) = 1 -2(1) = -1

  f(2) = 1 -2(2) = -3

Answer:

Each side will measure 15.5 cm.

Answer:

Page 1 Answer: [tex]\frac{9}{5}[/tex]

Page 2 Answer: 175

Page 3 Answer: Alicia used 1.5 gallons to travel a distance of 37.5 miles.

Page 4 Answer: I think its 117 but I could be wrong...

Step-by-step explanation:

Page 1:

We just simplify [tex]\frac{36}{20}[/tex] by dividing and get 9/5

Page 2: Since they want to DOUBLE her amount in her savings, we double her current amount (125) and get 250 by adding.

Next, we subtract 125 from 300 in her checking and get 175.

Page 3:

We use the titles so solve the graph.

Answer:

Step-by-step explanation:

Expression 1:

b) [tex]\frac{36}{20} =\frac{36/4}{20/4}=\frac{9}{5}[/tex]

Gabrielle:

$125 * 2 = $250

300 - 125 = $175

c) $175 will be her new checking account balance.

Alicia:

d) Alicia used 1.5 gallons to travel a distance of 37.5 miles.

Kenneth:

Area of a triangle: A = 1/2*b*h (base = 6, height = 6)

A = 1/2 * 6 * 6

A = 1/2 * 36

A = 18 square inches

Since there are two triangles, it would be 18 * 2 = 36 square inches

Area of a rectangle: A = l*w (length = 9, width = 9)

A = 9 * 9

A = 81 square inches

Add the two areas together:

b) 36 + 81 = 117 square inches

Hope this helps!

Answer:

Recipe 1 used [tex]1\frac{7}{9}[/tex] times as many cups and [tex]1\frac{1}{6}[/tex] more cups than Recipe 2.

Step-by-step explanation:

By subtraction:

2 [tex]\frac{2}{3}[/tex] - 1 [tex]\frac{1}{2}[/tex]

[tex]\frac{8}{3}[/tex] - [tex]\frac{3}{2}[/tex]

[tex]\frac{8*2}{3*2}[/tex] - [tex]\frac{3*3}{2*3}[/tex]

[tex]\frac{16}{6}-\frac{9}{6} = \frac{7}{6} =1\frac{1}{6}[/tex] cups more

By division:

2 [tex]\frac{2}{3}[/tex] / 1 [tex]\frac{1}{2}[/tex]

[tex]\frac{8}{3}[/tex] / [tex]\frac{3}{2}[/tex]

[tex]\frac{8}{3}[/tex] * [tex]\frac{2}{3}[/tex]

[tex]\frac{8*2}{3*3}=\frac{16}{9} =1\frac{7}{9}[/tex] times as many cups more

Answer:

Step-by-step explanation:

[g . h[(x) = -8(2x + 3) = -16x - 24

[h . g](x) = 2(-8x) + 3 = -16x + 3

Answer:

65

Step-by-step explanation:

Joshua has 390 photos, you need to divide that number by the each amount of photos in each page to figure out how many pages he needs to paste all them.

So you'd divide it like. 390 / 6


And that gives you 65.

Answer:

65

Step-by-step explanation:

It is 360 divided by 6 and you will get 65 (if you need help with long division contact me)

Just calculator work

Step-by-step explanation:

Answer: 17.5*5=87.5

Step-by-step explanation:

Answer:

x = y = 13, z = 18

Step-by-step explanation:

6x + 8 = 86

6x = 86 - 8 = 78, so x = 78/6 = 13

7y + 3 + 86 = 180

7y = 180 - 86 - 3 = 91

y = 91/7 = 13

5z + 4 + 86 = 180

5z = 180 - 86 - 4 = 90

z = 90/5 = 18