Which expression is equivalent to the one given? 3 ( 2 n − 4 ) + 6 n

Answer:

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{19}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 6 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] , thus

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c , substitute (4, 5) into the partial equation

5 = - [tex]\frac{4}{3}[/tex] + c ⇒ c = 5 + [tex]\frac{4}{3}[/tex] = [tex]\frac{19}{3}[/tex]

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{19}{3}[/tex] ← equation of perpendicular line

\Answer:

[tex]\displaystyle \frac{(x-7)^2}{4}+\frac{(y+2)^2}{36}=1[/tex]

Step-by-step explanation:

Equation of The Ellipse

Given the center (h,k) and the length of the major and minor axis, we can write the equation of the ellipse as follows:

[tex]\displaystyle \frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

If the major axis is a, then the ellipse is horizontal, if the major axis is b, then the ellipse is vertical.

The ellipse shown in the figure is centered at (7,-2). The major axis is b and it can be found by measuring the distance from the center up or down to any vertex. We find b=6 and a=2.

Thus, the equation of the ellipse is:

[tex]\displaystyle \frac{(x-7)^2}{2^2}+\frac{(y+2)^2}{6^2}=1[/tex]

Operating:

[tex]\mathbf{\displaystyle \frac{(x-7)^2}{4}+\frac{(y+2)^2}{36}=1}[/tex]

Step-by-step explanation:

.................b = 37.8

Answer:

120ft.

Step-by-step explanation:

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet. What is the distance around the perimeter of the garden? 120ft.

The perimeter of the rhombus is P = 120 feet

A Rhombus has four sides of the same length, its perimeter can be determined using the formula Perimeter = 4a, where "a" stands for the side's length.

When the two diagonals of a rhombus are known,

The perimeter = 2√p² + q²

where 'p' and 'q' are the diagonals.

Given data ,

Let the rhombus be represented as ABCD

Let the side length of the rhombus be AB = 30 feet

And , perimeter = 2√p² + q²

And , P = AB + BC + CD + AD

Due to the four triangles' similarity, we may conclude that AC is divided at O. So, we are aware that AO = 15 feet.

In ΔAOD,

(Perpendicular/hypotenuse) = sin 30°

or, 1/2 = 15/AD

otherwise, AD = 15 x 2 = 30 ft

So, AD equals 30 feet.

Given that all of a rhombus' sides are equal and all four of its triangles are the same, we have AB = BC = CD = AD = 30 feet.

On simplifying , we get

P = 4 ( 30 feet )

So , P = 120 feet

Hence , the perimeter is 120 feet

To learn more about perimeter of rhombus click :

https://brainly.com/question/4321700

#SPJ7

Step-by-step explanation:

2.43 × 3.7

Answer:-8.99100

Answer:

y=1/2x+1

Step-by-step explanation:

Use the formula y=mx+b

rise/run- it goes up ONE and over TWO

the y intercept is (0,1)

put it all together y=1/2x+1

Answer:

I love Spider-Man and its entire series and the comics.But my most favorite is Black Panther not cause he died its just because I believe that its cool that marvel portraits a black superhero since nick fury

No, I Dont like marvel...

I LOOOOOOVVVEEEE MARVELLLL!!!!

And BY BY FAR SPIDERMAN IS MY FAVOURITE!!!

lol great question!

MTFBWY

Answer:

3. Markup $3.50 Retail Price $13.50

4.)Markup $10 Retail Price $50

Answer:

3. $ Markup = $3.50

Retail Price = $13.50

4. $ Markup = $10

Retail Price = $50

Step-by-step explanation:

Turn the % markups into decimals. For 3, you would turn the % markup into 0.35 and for 4 you would turn the % markup into 0.25.

Multiply the decimals by the price. Your result for the $ markup for 3 should be $3.50 and the result for 4 should be 10.

Now add the $ markup to the original price for 3 and 4.

10 + 3.50 = $13.50

40 + 10 = $50

I hope this helped.

Answer:

The diagram shows a right-angled triangle.

14 cm

hcm

47°

What is the value of h?

Give your answer correct to 1 decimal place.

19.1

Answer:

We conclude that:

[tex]f\left(x\right)\cdot g\left(x\right)=x^3+13x^2+51x+63[/tex]

Step-by-step explanation:

Given

[tex]f\left(x\right)=\left(\:x^2\:+\:10x\:+\:21\right)[/tex]

[tex]g(x)=x+3[/tex]

Determining f(x) · g(x)

[tex]f\left(x\right)\cdot g\left(x\right)=\left(\:x^2\:+\:10x\:+\:21\right)\times \left(x+3\right)[/tex]

Distribute parentheses

                 [tex]=x^2x+x^2\times \:3+10xx+10x\times \:3+21x+21\times \:3[/tex]

                 [tex]=x^2x+3x^2+10xx+10\times \:3x+21x+21\times \:3[/tex]

                 [tex]=x^3+3x^2+10x^2+30x+21x+63[/tex]

Add similar elements: [tex]3x^2+10x^2=13x^2[/tex]

                 [tex]=x^3+13x^2+30x+21x+63[/tex]

Add similar elements: [tex]30x+21x=51x[/tex]

                 [tex]=x^3+13x^2+51x+63[/tex]

Therefore, we conclude that:

[tex]f\left(x\right)\cdot g\left(x\right)=x^3+13x^2+51x+63[/tex]

Answer: Should be quadrant 3

Step-by-step explanation:

1 is everything in -360

2 is everything in -270

3 is everything in -180

4 is everything in -90

So basically it is less than -90 so it couldn’t be in quadrant 4 it would be before it so quadrant 3. Sorry if this is incorrect but it is to the best of my knowledge

Answer: 1,600 cubic inches

Step-by-step explanation: 20x4=80 multiply both sides 80x20=1,600 cubic inches

Answer:

The surface area of given cuboid is: 148 square centimeters

Step-by-step explanation:

Let

l = 5

w = 4

h = 6

The cuboid has 6 rectangular surfaces.

The surface area of a cuboid with height h, length l and width w is given by:

[tex]TSA = 2 ( lw+wh+hl )[/tex]

Putting the values

[tex]TSA = 2(5*4 + 4*6 + 6*5)\\= 2(20+24+30)\\=2(74)\\=148\ cm^2[/tex]

Hence,

The surface area of given cuboid is: 148 square centimeters

Answer:

3

Step-by-step explanation:

just plug in 9 to b

9x2=18 18-15=3

Answer:

X=38

Step-by-step explanation:

this is an isosceles triangle as we can see by the lines on the sides of the triangle. that means both of those sides are equal to 52.

52x2=104

A triangle adds up to 180. If two of the sides already equal 104 then the last side will be how much will go up to 180.

180-104=76

It is cut by a bisector DB meaning both sides will be equal. So divide 76 by 2 and we get 38

I can't really tell if x is for one side of angle b or both sides. If it is only for one side then it is 38 but if it is for the whole angle B then it is 76.

Answer:

its 17.3 or 18.0 feet

Step-by-step explanation:

9514 1404 393

Answer:

  1)  5/12

  2)  4/3

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent ratio is ...

  Tan = Opposite/Adjacent

__

1) For angle Z, the ratio is ...

  tan(Z) = XY/YZ = 10/25 = 5/12

__

2) For angle C, the ratio is ...

  tan(C) = AB/BC = 20/15 = 4/3

Step-by-step explanation:

5×8/3×8 + 1×3/8×3

=43/24

=43/24

Answer:

1 19/24

Step-by-step explanation:

Answer:

The value of 7w - 8 is -22

Step-by-step explanation:

Let us solve the question

∵ -4w - 5 = 3

→ Move -5 from the left side to the right side by adding both sides by 5

∴ -4w - 5 + 5 = 3 + 5

∴ -4w = 8

→ Divide both sides by -4

∵ [tex]\frac{-4w}{-4}[/tex] = [tex]\frac{8}{-4}[/tex]

∴ w = -2

→ Now let us find the value of the given expression

∵ The given expression is 7w - 8

→ Substitute w by -2 to gets its value

∴ 7w - 8 = 7(-2) - 8

∴ 7w - 8 = -14 - 8

∴ 7w - 8 = -22

∴ The value of 7w - 8 is -22

Answer:

a = 2

b = 5

c = 3

Answer: If the given slope is –6/5, the equation is

y –2 = –6/5(x -5)

The attachment shows the graph of this equation.

The point-slope form is y = –6x/5 + 8

Step-by-step explanation:  The basic form for a point-slope equation is

y - b = m(x - a)

a is the x-value from the given coordinate, b is the y-value form the given coordinate, m is the slope. x and y are the variables in the function.

The slope, m, is given: -6/5   Substitute for m

Given coordinate points ​(5,2) substitute the x-value in place of a and the y-value in place of b

Rewrite the equation:

y - b = m(x - a) becomes

y - 2 = –6/5(x - 5)

Answer:

95.7

Step-by-step explanation:

Just trust.

Answer:

95.7

Step-by-step explanation:

Delta Math

Answer:

2150 mL

Step-by-step explanation:

1L=1000mL - convert

1.7mL=1700mL - convert problem numbers

1700+450mL - addition

2150mL- answer

Answer:

x = 1

Step-by-step explanation:

Given

12x + 3 = 15x ( subtract 12x from both sides )

3 = 3x ( divide both sides by 3 )

1 = x

Answer: x=1

Step-by-step explanation: So we're solving for x right but slight problem x is on both sides of the equation so we have to fix this. we can subtract 12x from both sides to get 12x-12x=0 and 15x-12x=3x so now we have 3x=3 to find x divide by 3 on both sided since 3/3=1 so 3x divided by 3 equals 1x or x and 3 divided by 3 is 1 so x=1

Math

12x+3=15x

-12x     -12x

   3=3x

    /3

    1=x

Given:

Whiskers the cat weighs [tex]3\dfrac{1}{2}[/tex] kg and Pilglio weighs 5 kg.

To find:

How many times as heavy as pilglio is whiskers?

How many times as heavy as whiskers is pilglio?

Solution:

We have,

Weight of cat (whiskers) = [tex]3\dfrac{1}{2}[/tex] kg

                      = [tex]\dfrac{3(2)+1}{2}[/tex] kg

                      = [tex]\dfrac{7}{2}[/tex] kg

                      =  3.5 kg

Weight of pilglio = 5 kg

Now,

[tex]\dfrac{Whiskers}{Pilglio}=\dfrac{3.5}{5}=0.7[/tex]

Therefore, whiskers is 0.7 times as heavy as pilglio.

[tex]\dfrac{Pilglio}{Whiskers}=\dfrac{5}{3.5}[/tex]

[tex]\dfrac{Pilglio}{Whiskers}=1.428571...[/tex]

[tex]\dfrac{Pilglio}{Whiskers}\approx 1.43[/tex]

Therefore, piglio is about 1.43 times as heavy as whiskers.