Factor the expression. 16m2 – 24mn + 9n2

(4m – 3n)(4m + 3n)
(4m – 3n)2
(16m – 3n)(m + 3n)
(4m + 3n)2

Answer:

x is equal to 30

<ABC is equal to 100°

<DBC is equal to 80°

Step-by-step explanation:

3x +10 +2x +20 =180

5x = 180 - 10- 20

5x = 150, divide both sides by 5

x is equal to 30

<ABC = 3x + 10 = 3 × 30 + 10 = 100°

<DBC = 180 - <ABC = 180 - 100 = 80°

This question has to do with the Mathematical sub-topic in Geometry called Ellipse.

An ellipse is a circle that has been stretched in one direction so that it is no longer symmetrical but oval in shape.

Let us assume that the points on the ellipse is (cosθ, √3 sinθ)

Next let's minimize their distance squared from (-1, 0)  taking a point on the ellipse as (cos θ- -1)² + (√3 sin θ)² =

cos²θ + 2cos θ + 1 + 3 sin² θ

(Substituting sin² θ + cos² θ = 1)

2 + 2 cos θ + 2 sin² θ

The derivative is given as

-2 sin θ + 4 sin θ cos θ =

-2 sin θ (2 cos θ - 1)

The above translates to 0 at sin θ = 0 or cos θ = 1/2, which results in 0°, 180°, 60°, 300°

Assuming we re-write the first derivative as - 2sin θ+ 2sin 2θ, the second derivative becomes:

-2 cos θ + 4 cos 2 θ

At 0°, 180°, 60°, 300°, we get 2, 6, -3, -3.

Therefore, our relative minima is given at 0°, 180°, while the relative maxima at 60°, 300°.

It is safe to declare, therefore that due to the nature of the function, the global minima and maxima will be among the four locations indicated above.

In addition to that,, 180° is the global minimum. This is because it is at the actual point, while  60° and 300° give the same value of the distance squared, thus both will each be maxima.

(cos θ, √3 sin θ) at  60°, 300° is (1/2, 3/2) and (1/2, -3/2)

Learn more about Point on Ellipse at:
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See the definition of a circle here:
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Plug in the values of the variables:-

[tex]\sf{4x-2y}[/tex]

[tex]\sf{4(7)-2(-3)}[/tex]

[tex]\sf{28+6}[/tex]

[tex]\sf{34}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

34

Step-by-step explanation:

We have to find the value of the expression ( 4x - 2y ).

Also, given that,

x = 7

y = -3

So, to find the value of the given expression, you have to replace x and y with 7 & -3 respectively.

Let us solve it now.

4x - 2y

4 × 7 - 2 × -3

28 + 6

34

Answer:

140 degrees

Step-by-step explanation:

Since alternate angles are equal, corresponding angles are equal, a pair of interior angles on the same side of the transversal are supplementary, and angles on a straight line add up to 180 degrees, 40 + x must equal 180 degrees.

To find angle x in this instance, you would need to subtract 40 degrees from 180 degrees.

[tex]180-40=140[/tex]

Therefore, the answer is 140 degrees.

Answer:

my test said 140

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Given

Total is 200

From the attachment, we have:

Required

Black- 35%

Blue-23%

How many more of black than blue were sold

First, calculate the difference in percentage sold

Multiply by the total phones sold;

Hence, 24 more blacks were sold than blue

Hope this helps

Brainliest appreciated :)

Answer:

The answer is 24

Step-by-step explanation:

The total amount of phone covers were 200.

35% of those were black.  So, 200 x 35% (or 200 x .35) = 70.  

70 of the phone covers sold were black.

23% of the covers were blue.  So, 200 x 23% (or 200 x .23) = 46

46 of the phone covers sold were blue.

How many more black covers sold than blue covers means we subtract.

70 black covers - 46 blue covers = 24 more black covers sold.

Answer:

This question is very big, you should shorten your question a bit so that I can answer it quickly, the rest is just that I did not understand the question a bit

Tan(-pi/12) = sqrt(7-4sqrt(3)) = -2 + sqrt(3)

answer: -2 + sqrt(3)

Answer:

m=56

Step-by-step explanation:

So look at the angles. I learned this in geometry like 2 years ago. I believe it was the opposite angle theorem or the alternate exterior or interior angles. You should look on the internet about that.

Step-by-step explanation:

Length = 94 cm

breadth = ?

Perimeter = 298 cm

Now..............

Perimeter = 2 ( l + b )

298cm = 2 ( 94 cm + b )

298 / 2 = 94 + b

149 cm = 94 + b

b = 149 - 94 cm

b = 55 cm

Answer:

Step-by-step explanation:

In the question we have given perimeter of rectangular painting that is 298 cm , length of the painting is 94 cm , and we have asked to find the width of the rectangular painting . So perimeter of rectangle is ,

[tex] \purple{ \boxed{Perimeter \: of \: rectangle = 2 ( l + w ) }}[/tex]

Where ,

Now , we are substituting value of length and equating it with given perimeter :

[tex] \longrightarrow \: 2(94 + w) = 298[/tex]

Now, our last step is of calculations . So from here we are calculating ,

[tex] \longrightarrow \: 94 + w = \frac{298}{2} [/tex]

[tex] \longrightarrow \: 94 + w= 149[/tex]

[tex] \longrightarrow \: w = 149 - 94[/tex]

[tex] \longrightarrow \: \blue{\boxed{ \bold{w = 55 \:cm}}}[/tex]

Answer:

1: The amount on the card, 2:$7.50, 3: $12.50, 4: $20

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Give brainliest if it helped...(:

Answer:

the area of the rhombus is 56 square inches

Answer:

D.

Step-by-step explanation:

1) the required probability can be calculated as sum of two probabilities:

P=p1+p2, where p1 - when the 1st attempt is correct, p2 - when the 2d attempt is correct;

2) p1=1/10; p2=1/9, then the required probability:

P=1/10 + 1/9 ≈ 1/5.

The amount at which the dress will sell for in the boutique is $6716.25.

The total cost of beading = 180 x 25% x $40 = $1800

The total cost of ruffles = 35% x 180 x $35 = 2205

Time left for making embroidery and sewing = (100% - 35% - 25%)/2 = 20%

The total cost of embroidery = 20% x 180 x $20 = $720

The total cost of sewing = 20% x 180 x $18 = $648

Total cost = 5373

Selling price = 1.25 x 5373 = $6716.25

To learn more about percentages, please check: https://brainly.com/question/25764815

Answer:

MN=66.5

Step-by-step explanation:

Add 57 and 76, then divide by 2.

Answer:

x can be 20

y can be 2

Step-by-step explanation:

i hope i will help you

The equation used to find the total mileage, m, that will make the cost, p, of renting a moving truck for one day equal at each rental company is 45 miles

Mega movers:

Fixed cost per day = $19.50

Additional cost per mileage = $0.95

p = 19.50 + 0.95m

U-move:

Fixed cost per day = $42.00

Additional cost per mileage =$0.45

p = 42.00 + 0.45m

19.50 + 0.95m = 42.00 + 0.45m

0.95m - 0.45m = 42.00 - 19.50

0.50m = 22.50

m = 22.50 / 0.50

m = 45 miles

Learn more about equation:

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#SPJ1

Answer:

i think its c

Step-by-step explanation:

sorry if im worng

Answer i believe its a or d

Step-by-step explanation:

im not to sure but i did try to do the math on it so.

Answer:

333.3 years

Step-by-step explanation:

The formula

Condition

Solving

Answer:

Each get 89 marbles and the leftovers are 0

Step-by-step explanation:

We have to ditribute the 267 marbles for 3 people so divide 267 by 3:

[tex]\frac{267}{3}[/tex] = 89

So each one gets 89

The leftovers are 0 because 267 is divisible by 3, means that if we divide 267 by 3 we will get a natural number ( no decimal part/ remainder=0)

remainder=0 → leftovers=0

Answer:

y goes from the top to the bottom postive to negative. Then x is from left to right. The left is negative the right is postive.

Step-by-step explanation:

Answer:

152 sq in

Step-by-step explanation:

Surface area just means to find the area of all of the sides of a shape. This triangular prism has been flattened so you can see both bases (triangles) and all three lateral sides (rectangles)

Area of a triangle is:

A = 1/2 b•h

= 1/2 •8•4

= 16

There are 2 of these triangles.

A_bases = 32

Then there are 3 rectangle sides, area of a rectangle is:

A = l × w (or b•h)

6 × 5 = 30

6 × 8 = 48

6 × 7 = 42

Add up all the areas.

32 + 30 + 48 + 42

Total surface area is:

A = 152 sq in

Answer:

152

Step-by-step explanation:

Answer:

The slope of the line is 5.

Step-by-step explanation:

You need to use the slope formula.

Slope Formula: y2 - y1 / x2 - x1

Your coordinates: (0,2) and (-1, -3)

Do -3 - 2 / -1 - 0

This is because the -3 is your y2 and the 2 is your y1

**Same goes with x but different numbers since it is the x coordinates.**

Now, do -3 - 2 first.

The negatives turn into a positive meaning you have to add the two.

But the bigger number 3 is negative so, your answer should contain a negative.

-3 -2 = -5

Do -1 - 0

This should be an addition problem but contain a negative answer.

-1 -0 = -1

-5/-1 as final.

The negatives cancel, and 5/1 is 5

Your slope is 5.

Answer:

The slope of the line is 5

Step-by-step explanation:

Slope(m) formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

y₂ = -3

y₁ = 2

x₂ = -1

x₁ = 0

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-3-2}{-1-0} \\\\m=\frac{-5}{-1}\\\\m=5[/tex]

Hope this helps!

Answer:

answer below.

Step-by-step explanation:

1.  1/5----0.2

2. 1/3---0.3 repeating

3.  1/2---0.5

4.  7/10---0.7

5. 3/4---0.75

Answer:

9 litres

Step-by-step explanation:

the volume (V) of the tank is calculated as

V = lbh ( l is length, b is breadth , h is height )

here l = 60 cm, b = 15 cm, h = 10 cm , then

V = 60 × 15 × 10 = 9000 cm³

using the conversion 1 litre = 1000 cm³ , then

V = 9000 ÷ 1000 = 9 litres

Answer:

  9 liters

Step-by-step explanation:

It is often convenient to make use of the fact that 1 liter is 1000 cm³, or 1 dm³, where 1 dm = 10 cm. Expressing the tank dimensions in decimeters, we see they are ...

  L = 6 dm, W = 1.5 dm, H = 1.0 dm

Then the volume is ...

  V = LWH

  V = (6 dm)(1.5 dm)(1.0 dm) = 9.0 dm³ = 9 L

9 liters of water are needed to fill the empty tank.

Answer:

See below ~

Step-by-step explanation:

Distance Formula

Finding the side lengths

Perimeter

Answer:

8. 133°

9. 124°

Step-by-step explanation:

Because all triangles add up to 180°, the sum of all interior angle will add up to 180°.

8) 94 + 39 = 133

180 - 133 = 47

47° is the measure of the unknown interior angle, but we need the exterior and all straight lines are 180° angles, so we need to subtract.

180 - 47 = 133°

9)

81 + 43 = 124

180 - 124 = 56 (interior angle)

180 - 56 = 124° (exterior angle)

Answer:

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ghanami

Ace

2.9K answers

12.1M people helped

hello :

note :

an equation of the circle Center at the w(a,b) and ridus : r is :

(x-a)² +(y-b)² = r²  

in this exercice : x²+y²-16x+6y+53=0

(x²-16x) +( y²+6y ) +53 = 0

(x² -2(8)x +8² -  8²) +(y² +2(3)x -3²+3² ) +53=0

(x² -2(8)x +8²) -  8² +(y² +2(3)x +3²)-3²  +53=0

(x-8)² +( y+3)² = 20

the center is :  w(8,-3) and ridus : r  = √20

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

Answer:

the answer is -4

Step-by-step explanation:

you take the points (0,6) and (4,-10), then you subtract -10 by 6 and you get -16. then you take 4 subtracted by 0 and you get 4. -16 divided by 4 is -4.