One more I think!

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Hi there!

Parabola x² = 12y

→ x² = 4ay

→ 4a = 12

→ a = 12÷4

→ a = 3

So, the co-ordinates of the focus is:-

S(0,a)=(0,3)

→ Let AB be the latus rectum of the given parabola.

→ Coordinates of end-points of latus rectum are (-2a,a), (2a,a)

→ Coordinates of A are (-6,3), while B's coordinates are (6,3).

→ ∆OAB are O(0,0), A(-6,3), B(6,3)

Area of ∆OAB is :-

(Solving part attached as image)

=> 18 unit² is the required answer.

Answer:

18 sq. unit

Step-by-step explanation:

Parabola is x²=12y

On comparing it with

→x²=4ay

→4a=12

→a=12/4

→a=3

Finding the value of x.

→x²=12y

→x²=12×3

→x²=36

→x=√36

→x=6

When we have a=3 and x=6

(-x1,a)=(-6,3)

(x1,a)=(6,3)

Let,

(x1,y1)=(0,0)

(x2,y2)=(6,3)

(x3,y3)(-6,3)

Now,

Area=[tex]=\frac{1}{2} *b*h\\\\=\frac{1}{2} [x1(y2-y3)+x2(y3-y1)+x3(y1-y2)\\\\=\frac{1}{2} [0(3-3)+6(3-0)+(-6)(0-3)\\\\=\frac{1}{2} [18+18]\\\\\\=18.sq.units[/tex]

Answer:

1 km < 3,000 m and 4L = 4,000 mL

The correct statement about Armando’s use of algebra tiles is some of the products do not show the correct powers of x.

Given

Armando used algebra tiles to represent the product 3x (2x -1 ).

The number or expression results from the multiplication together of two or more numbers or expressions.

The correct way to find the product function is;

[tex]\rm = 3x (2x -1 )\\\\=3x \times 2x - 3x\times 1\\\\= 6x^2-3x[/tex]

Hence, the correct statement about Armando’s use of algebra tiles is some of the products do not show the correct powers of x.

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Answer:

side = 20 cm

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent.

Equate the 2 given sides and solve for x

5(x - 3) = 2x + 6

5x - 15 = 2x + 6 ( subtract 2x from both sides )

3x - 15 = 6 ( add 15 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

then length of side is

2x + 6 = 2(7) + 6 = 14 + 6 = 20 cm

Answer:

20 cm

Step-by-step explanation:

Properties of an Equilateral Triangle

Given information

Find value of x

As side lengths are equal, equate the expressions and solve for x.

   2x + 6 = 5(x - 3)

⇒ 2x + 6 = 5x - 15

⇒ 2x + 6 + 15 = 5x - 15 + 15

⇒ 2x + 21 = 5x

⇒ 2x + 21 - 2x = 5x - 2x

⇒ 21 = 3x

⇒ 21 ÷ 3 = 3x ÷ 3

⇒ 7 = x

⇒ x = 7

Side lengths

Substitute x = 7 into one of the given expressions.

⇒ length of one side:  2(7) + 6 = 20 cm

Answer:

The answer is ur mom

Step-by-step explanation:

ford leonard

Answer:

x = y = 24.

Step-by-step explanation:

Here we are given a right angled triangle in which one of the angles is 45° . And one of the known side is 24√2 . And we need to find out the value of x and y.

[tex]\qquad\rm\longrightarrow sin45^o =\dfrac{p}{b} [/tex]

Substituting the respective values,

[tex]\qquad\rm\longrightarrow sin45^o =\dfrac{x}{24\sqrt2}[/tex]

Value of sin 45° is 1/√2 . So that,

[tex]\qquad\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{x}{24\sqrt2}[/tex]

Cross multiply ,

[tex]\qquad\rm\longrightarrow x =\dfrac{24\sqrt2}{\sqrt2} [/tex]

Simplify,

[tex]\qquad\rm\longrightarrow \underline{\boxed{\rm \blue{x = 24}}} [/tex]

Again , the third angle will be 45° . we know that the sides opposite to equal angles are equal. Therefore here ,

[tex]\qquad\rm\longrightarrow \underline{\boxed{\blue{\rm y = 24}}}[/tex]

The values of x and y are 24

The triangle is a right angled triangle with an angle measure of 45 degrees.

The above means that:

The values of x and y are equal

So, we have:

[tex]x^2 + y^2 = (24\sqrt 2)^2[/tex]

Evaluate the squares

[tex]x^2 + y^2 = 1152[/tex]

x and y have equal values,

So, we have:

[tex]x^2 + x^2 = 1152\\\\[/tex]

[tex]2x^2 = 1152[/tex]

Divide through by 2

[tex]x^2 = 576[/tex]

Take the square roots of both sides

[tex]x = 24[/tex]

Hence, the values of x and y are 24

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Answer: d is the answer it

Answer:

x=0

Step-by-step explanation:

x°+65°+109°+136°=310°

we know that this whole equation equals 310.

so we add all the numbers equaling x+174+136=310 : x+310=310

x clearly equals 0 and even then you can subtract 310 from both sides which still gives you 0.

hopefully this helps.

Heya!

Answer:

x° = 0°

Step-by-step explanation:

x°+ 65° + 109° + 136° = 310°

Add all of the degrees on the left side together.

x° + 310° = 310°

Subtract 310° from both sides.

x° + 310° = 310°

    - 310°   - 310°

+ 310° and - 310° cancel out. 310° - 310° is 0.

x° = 0°

So, x° = 310° is your answer.

Hope this helped! :D

Answer:

x = -6

y = -6

Step-by-step explanation:

Solve using substitution.

Substitute 2x + 6 for y:

4x - 4(2x + 6)=0

Distribute the 4 to each term in the parentheses:

4x - 4(2x) - 4(6) = 0

4x - 8x - 24 = 0

Combine like terms

-4x - 24 = 0

Add 24 to both sides

-4x = 24

Divide both sides by -4

x = -6

Plug -6 back in for x to solve for y:

y = 2x + 6 = 2(-6) + 6 = -12 + 6 = -6

(x, y) = (-6, -6)

Answer:

x= -6 and y= -6

Step-by-step explanation:

Take 4x-4y=0 as eqn 1

and y=2x+6 as eqn 2

Substitute eqn 2 into eqn 1

4x -4(2x+6)=0

4x-8x-24=0

-4x-24=0

Move -24 to the other side

-4x=24

Divide both sides by -4

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

x= -6

substitute x= -6 in eqn 2

y=2(-6)+6

y= -12+6

y= -6

Answer:

b and c are correct

Step-by-step explanation:

Hope this helps! :)

Answer:

B

Step-by-step explanation:

Because max has 40/100 of a dollar which could = 4 or 40% so he has 4.

Max=4

Ben has 2/10 of a dollar which could be 2 or 20% so ben has 2

Ben=2

Alex has 3/10 of a dollar which could be 3 or 30% so Alex has 3.

Alex=3

4+2+3=9/10

Hope it helps,have a great day:)

Answer:

true or false

Step-by-step explanation:

Receiving a customer who has an appointment is a routine query

Answer:

the answer is 1

Step-by-step explanation:

2 x 1 +2 = 4 mhm yes mk ok ~

OKURRRRRRRRRRRRRRRRR

Answer:

d=1

Step-by-step explanation:

You first need to isolate the variable, d. To do this, you move everything away from it, using the opposite order of operations for each variable. First, you need to subtract 2 on both sides which gives you 2d=2, then you divide 2 from 2d and divide it with the single 2 and get 1. Hope that helps :)

Answer:

Time goes down to 16.47 min

Step-by-step explanation:

Formula

Time to melt = k / Temperature      (I doubt it is this simple)

Givens

Temp = 70

Time = 20

k  =

Solution

20 = k / 70             Multiply both sides by 70

20*70 = k

k = 1400

Problem

What happens when Temp = 85?

Time = k / Temp

Time = 1400 / 85

Time = 16.47 Min

[tex]y=mx+b[/tex] is general equation of linear function

We see that graph is decreasing ⇒ m<0

We have dirt (0;-3) ⇒ b=-3

Then let's try find m

look on dirt (-5;0), x=-5, y=0 ⇒

[tex]0=-5m-3\\-5m=3\\\\m=-\dfrac{3}{5}[/tex]

The answer is D

Answer:

x>-10/7 or ≈ -1.4285714285714285714285714285714

Step-by-step explanation:

transfer the -7 coefficient over to the right

Hey there!

-7x > 10

DIVIDE -7 to BOTH SIDES

-7x/-7 > 10/-7
CANCEL out; -7/-7 because it give you 1

KEEP: 10/-7 because it give you the x value

NEW EQUATION: x = 10/-7

SIMPLIFY IT!

x = - 10/7 OR x = -1 3/7

⇡ EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE EQUIVALENT TO EACH OTHER! ⇡

It is an OPEN circle shaded to the left starting between -1 & -2. (Little over -1)

Therefore, your answer is:

x = - 10/7 OR x = -1 3/7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: The markup- 122.225%

Revenue/price- 133.33$

Gross profit- 73.33%

Step-by-step explanation:

The gross profit P is the difference between the cost to make a product C and the selling price or revenue R.

P = R - C

To calculate revenue R based on the cost C and the desired gross margin G, where G is in decimal form:

R = C / ( 1 - G)

The gross profit dollars P is the revenue dollars R from the sale times the gross margin G percentage, where G is in decimal form :

P = R * G

The markup percentage M, in decimal form, is gross profit P divided by cost C.

M = P/ C

M * 100 will change the decimal to a percentage.

The selling price of the boots is $93.

Given information:

The Shoe Outlet purchased the boots for $60 and increased their price by 55%

To calculate the selling price of the boots with a 55% mark-up, to add 55% of the original cost to the original cost.

Calculate the mark-up amount as follows:

Mark-up = 55% of $60

Mark-up = 0.55 * $60

Mark-up = $33

Add the mark-up to the original cost to find the selling price as follows:

Selling Price = Original Cost + Mark-up

Selling Price = $60 + $33

Selling Price = $93

So, the selling price of the boots is $93.

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20 length 2 height. 20 times 2 equals 40 square inches\

Answer:

GCF = 7

Step-by-step explanation:

7 * 2 = 14

7 * 7 = 49

4*7 = 28

[RevyBreeze]

Answer:

C, D and F

Step-by-step explanation:

volume of a cuboid = W x L x H

(where W = width, L = length and H = height)

Calculate the volume of each of the prisms (cuboids), then compare their volume with the range of 25 - 40 cubic units

Volumes

A:  4 x 4 x 4 = 64 cubic units

B:  3 x 7 x 2 = 42 cubic units

C:  4 x 4 x 2 = 32 cubic units

D:  2 x 6 x 2 = 24 cubic units

E:  3 x 5 x 3 = 45 cubic units

F:  2 x 3 x 6 = 36 cubic units

Therefore, prisms C, D and F have a volume between 25 and 40 cubic units.

Answer:

the selling price is 21 dollars

Answer:

D = 18

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

if the school gets $20 per wrapping paper sold

then in order to earn 2500 the school must sell 2500/20=125

Answer:

9375

Step-by-step explanation

75/20 = x/2500

20x=187500

20x/20 = 187500/20

x=9375

Answer:

The range is 8

Step-by-step explanation:

Recall that the range of a data set is the distance between the maximum and the minimum, therefore:

Range = Maximum - Minimum = 9 - 1 = 8

Answer:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is

9−1=8

Step-by-step explanation:

So therefore,the range is 8

Answer:

  (b)  56.5 ft

Step-by-step explanation:

The circumference of a circle of diameter d is given by ...

  C = πd

For the given diameter, the circumference of the frame is ...

  C = (3.14)(18 ft) ≈ 56.52 ft

The length of the outside edge of the frame is about 56.5 feet.

The word sum for 439 and 514 = 953

Word sum simply means the addition of two or more whole numbers.

This means that to calculate the word sum of 439 and 514, the both given figures are added up together.

Given, 439 plus 514

That is,

439 + 514 = 953

Therefore, the word sum for 439 and 514 = 953

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Answer:

0.85

1.176

Step-by-step explanation:

E = 17/20 D

Let D = 1,

E = 17/20 × 1

E = 17/20 = 0.85

1 dollar = 0.85 Euro

E = 17/20 D

17/20 D = E

D = 20/17 E

Let E = 1,

D = 20/17 × 1

D = 1.176

1 Euro = 1.176 dollar

It can be deduced that the chord of AB will be 16 cm and the chord of CD will be 12 cm.

From the information given, we will use Pythagoras theorem to find half of AB. This will be:

= ✓10² - ✓6²

= ✓64

= 8.

Therefore, AB = 8 × 2 = 16cm

The length of CD will be:

= 10² - ✓8²

= ✓36

= 6

The length of CD = 6 × 2 = 12cm.

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Tank is made like Cylinder

So let's find r

[tex]\\ \tt\hookrightarrow V=\pi r^2h[/tex]

[tex]\\ \tt\hookrightarrow r^2=\dfrac{v}{h\pi}[/tex]

[tex]\\ \tt\hookrightarrow r=\sqrt{\dfrac{v}{3.14h}}[/tex]

The equation to find radius of tank is r = √{(V)/(3.14×h)}

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

Types of Equations:

let r be radius of cylindrical tank

h be height of tank

V be volume of tank

Volume of cylinder is given by:

V = π×r²×h

r = √{(V)/(π×h)}

r = √{(V)/(3.14×h)}

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Answer:

72

Step-by-step explanation: