To show that TRK= TUK by the SAS postulate, what additional information is necessary?

Answer:

4)  2(x - 3)^2 + 2(y + 5)^2 = 96.

Step-by-step explanation:

2x^2 – 12x + 2y^2 + 20y – 28 = 0

2(x^2 – 6) + 2(y^2 + 10y) = 28

2 ( (x - 3)^2 - 9)) + 2((y + 5)^2 - 25) = 28

2(x - 3)^2 - 18 + 2(y + 5)^2  - 50 = 28

2(x - 3)^2 + 2(y + 5)^2 = 28 + 18 + 50

2(x - 3)^2 + 2(y + 5)^2 = 96

Answer:

[tex]4) 2(x-3)^2+2(y+5)^2=96[/tex]

Step-by-step explanation:

[tex]2x^2 -12x +2y^2 + 20y - 28 = 0[/tex]

It basically represents a circle.

Equation of circle

[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2\:[/tex]

[tex]2x^2-12x+2y^2+20y=28[/tex]

[tex]$\frac{1}{2} (2x^2-12x+2y^2+20y)=28 \cdot \frac{1}{2} $[/tex]

[tex]x^2-6x+y^2+10y=14[/tex]

Organize the variables

[tex]\left(x^2-6x\right)+\left(y^2+10y\right)=14[/tex]

Now we have to complete the square for both groups:

[tex]\left(x^2-6x+9\right)+\left(y^2+10y+25\right)=14+9+25[/tex]

[tex]\left(x-3\right)^2+\left(y+5\right)^2=14+9+25[/tex]

[tex]\left(x-3\right)^2+\left(y+5\right)^2=48[/tex]

Now, I would proceed with:

[tex]\sqrt{48} =\sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 3} =4\sqrt{3}[/tex]

[tex]\left(x-3\right)^2+\left(y+5\right)^2=(4\sqrt{3} )^2[/tex]

We got the center and the circle radius

[tex]\left(3,\:-5\right)\\r=4\sqrt{3}[/tex]

But this is not what you want:

So, just multiply both sides by 2 and you'll get:

[tex]2\left(x-3\right)^2+2\left(y+5\right)^2=96[/tex]

Answer:

The Answer is: B= about 1.44mm^3

Step-by-step explanation:

hope I could help you out :)

The volume of bubble is 1.44 cubic mm.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

Given data as :

Radius of the Bubble (r) = 0.7 mm

Volume of the bubble is given by the formula

[tex]r =\sqrt[3]{\dfrac{3v}{4\pi} }[/tex]

Taking cube on both sides

r³ = 3v/4π

Rearrange the equation,

v = 4πr³/3

Substitute the value of r in the above equation,

v = 4π(0.7)³/3

Substitute the value of π = 3.14

v = 4(3.14)(0.343)/3

v = 4.3/3

v = 1.44

Hence, the volume of bubble is 1.44 cubic mm.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ5

Answer:

yes

Step-by-step explanation:

the approximate surface area is (30 × 20 × 2) + (30 × 10 × 2) + (20 × 10 × 2) or 2,200 cm2

Answer:

  B.  6, 8, 10 2/3, 14 2/9, 18 26/27

Step-by-step explanation:

The recursive relation tells you the first term is 6, eliminating choice A immediately.

It also tells you each term is 4/3 the previous term, so the sequence cannot be a sequence of integers*, eliminating choices C and D.

If you do the math, you find the terms of Choice B are correct:

_____

* Unless you start with a very large power of 3, repeatedly multiplying by 4/3 will eventually end with powers of 3 in the denominator and some multiple of powers of 2 in the numerator. Such a ratio cannot be an integer.

Answer:

Step-by-step explanation:

3/2/8/3

=9/16

Answer:

9/16

Step-by-step explanation:

3/2  ÷  8/3

Here, we are trying to divide fractions.

When dividing fractions, you can flip the second fraction, and multiply the fractions together.

Hence, our new expression would be:

3/2*3/8

We can multiply the numerators together and the denominators together.

3*3/2*8

9/16

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

d² = 4² + 4²

   = 16 + 16

d² = 32

d = √32

d = 5.67 units

Answer:

$337.5

Step-by-step explanation:

He would get $337.5 because if he gets $11.25 every hour you just multiply $11.25 by 30 hours.

Answer:

Slope intercept form is

[tex]y=\frac{4}{3} x- \frac{19}{3}[/tex]

Answer:

40.5 cm²

Step-by-step explanation:

Given the ratio of sides of 2 figures = a : b

then the ratio of areas = a² : b²

Here the ratio of Δ A : Δ B = 2 : 1, thus

ratio of areas = 2² : 1² = 4 : 1

That is the area of Δ A is 4 times area of Δ B, so

area of Δ B = 162 ÷ 4 = 40.5 cm²

Answer:

81

Step-by-step explanation:

162/2=81

Answer:

The ans from the bottom left

Answer:

The remaining area in the form of a polynomial function [tex]A(x)= 140-4x^2[/tex]where  0 < x < 3.

Step-by-step explanation:

Breadth of rectangular piece of cardboard = 7 inches

Length of rectangular piece of cardboard = 20 inches

Area of cardboard = [tex]Length \times Breadth[/tex]

Area of cardboard = [tex]20 \times 7[/tex]

Area of cardboard =[tex]140 in^2[/tex]

Squares of length x inches on a side cut from each corner.

Length of square = x

Area of 1 square = [tex]Side^2 = x^2[/tex]

Area of 4 squares = [tex]4x^2[/tex]

Area of remaining portion [tex]A(x)= 140-4x^2[/tex]

So, the remaining area in the form of a polynomial function [tex]A(x)= 140-4x^2[/tex]where  0 < x < 3.

Answer: 7 rows

Step-by-step explanation:

she will have 7 rows with 4 seats in each row or 4 rows with 7 seats in each row

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

x^2+x+b= x^2+2*x+1/2+(1/2)^2= (x+1/2)^2

b= 1/4

Answer:

erm

Step-by-step explanation:

-3/26

Answer:

Step-by-step explanation:

(-4/13)+(5/26)

So,now take the common denominator by taking least common multiple (LCM)..

LCM=26

= {(-4/13)x26} + {(5/26)x26}

= (-8+5)/26

= -3/26

Answer:

142

Step-by-step explanation:

Keep adding 5

Answer:

B

Step-by-step explanation:

Answer:

It is B Because of the non-adjacent vertices.

Answer:

$2

Step-by-step explanation:

$2 because it's in between.

The total playing value will be $0.

What is probability?

Probability shows the possibility of any event to occur. The maximum value of probability can be 1 and shows the event will happen, and minimum can be 0, shows that event will not occur.

Given that,

Cost of playing the game= $2

There are total 52 playing cards,

Red cards=26

So, the probability to come red on card = 1/2.

Black cards=26

So, the probability to come black on card=1/2

If investor invests $2,

For red card, win $3,

The profit is $1

For black card, win $1,

The loss is $1

Total invest = $4

Total earning=$4

playing value = $4-$4=0.

So the total playing value will be $0.

To know more about Probability on:

https://brainly.com/question/11234923

#SPJ5

Answer:

Equation of circle is [tex]x^2+y^2-12x-4y+24=0[/tex]

None of the options is correct

Step-by-step explanation:

Given: Graph

To find: equation of circle

Solution:

A circle is a locus of all points that are at a fixed distance (radius) from a fixed point (centre).

From the graph,

centre (a, b) = [tex]\left ( 6,2 \right )[/tex]

radius (r) = 4 units

Equation of circle is of form [tex](x-a)^2+(y-b)^2=r^2[/tex]

[tex](x-6)^2+(y-2)^2=4^2\\x^2+36-12x+y^2+4-4y=16\\x^2+y^2-12x-4y+24=0[/tex]

The equation of circle is [tex]x^2+y^2-12x-4y+24=0[/tex]

None of the options is correct

We have given the graph

We have to determine the equation of circle

A circle is a locus of all points that are at a fixed distance (radius) from a fixed point (centre).

From the graph,

centre (a, b) = (6,2)

radius (r) = 4 units

Equation of circle is of form

[tex](x-a)^2+(y-b)^2=r^2[/tex]

[tex](x-6)^2+(y-2)^2=4^2\\x^2-12x+36+y^2-4y+4=16\\x^2+y^2-12x-4y+24=0[/tex]

Therefore the equation of the circle is [tex]x^2+y^2-12x-4y+24=0[/tex]

To learn more about the circle visit:

https://brainly.com/question/24375372

#SPJ5

The median of [tex]\triangle ABC[/tex] are lines CD, AE and BF. These lines meet at point Q, makes Q the centroid. The length of QE is 9 units.

The centroid of a triangle divides the median of a triangle using the following ratio;

[tex]m:n = 2:1[/tex]

This means that:

[tex]BQ:QF=2:1[/tex]

[tex]AQ:QE=2:1[/tex]

[tex]DQ:QC=2:1[/tex]

To calculate QE, we make use of:

[tex]AQ:QE=2:1[/tex]

From the triangle;

[tex]AQ = 18[/tex]

So, we have:

[tex]18:QE=2:1[/tex]

Express as a fraction

[tex]\frac{18}{QE}=\frac{2}{1}[/tex]

Cross multiply

[tex]2 \times QE = 18 \times 1[/tex]

[tex]2 \times QE = 18[/tex]

Divide both sides by 2

[tex]QE = 9[/tex]

Hence, the length of QE is 9 units.

Read more about centroid at:

https://brainly.com/question/21361838

Answer:

A

Step-by-step explanation:

let's try A. 3(3)+2=9+2=11

11=11

So A is right

Answer:

x > -9

Step-by-step explanation:

The solution to the inequality is obtained as follows:

-3x -7 < 20

-3x - 7 + 7 < 20 + 7

-3x < 27

-3x/(-3) > 27/(-3)

x > -9

Notice that when you divide by a negative number, the inequality sign changes.

In the picture attached, the graph of the solution s shown. Notice that -9 is not included in the solution.

Answer:

10/143

Step-by-step explanation:

got 100%

When students are chosen at random, the probability that the committee consists of all boys is 10/143.

Probability simply means the likelihood that a particular thing will occur. It's due to chance or luck.

In this case, when students are chosen at random, the probability that the committee consists of all boys is 10/143.

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ5

Answer:

1/12 more pepperoni than sausage

Step-by-step explanation:

to make 1/6 and 1/4 have the same denominator you multiply top and bottom by 6 and 4.

1/6*4 = 4/24

1/4*6 = 6/24

6/24 - 4/24= 2/24= 1/12

cos2(θ) + sin2(θ) = 1

sec(θ) = 1/cos(θ)

cot(θ) = cos(x)/sin(θ)

sin(θ) = -3/4

cos2(θ) + sin2(θ) = 1

cos2(θ) = 1 - sin2(θ)

cos2(θ) = 1 - 9/16 = 7/16

cos(θ) = ±√(7/16) = √7/16  (cosine is positive in Q IV)

sec(θ) = 1/cos(θ) = 4/√7

cot(θ) = cos(θ)/sin(θ) = (4/√7)/(-3/4) = -16√7/21

The exact values of secθ = 4/√7 and cotθ = -16√7/21

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

Given that,

sinθ = -3/4

∵sin²(θ) +cos²(θ) = 1

∴cos²(θ) = 1 - sin²(θ)

cos(θ) = √(1 - sin²(θ))

cos²(θ) = √(1 - 9/16 )

cos(θ) = ±√(7/16) = √7/4  (cosine is positive in quadrant IV )

sec(θ) = 1/cos(θ) = 4/√7

∵cot(θ) = cos(θ)/sin(θ)

∴cot(θ)= (4/√7)/(-3/4)

cot(θ) = -16√7/21

The exact values of secθ = 4/√7 and cotθ = -16√7/21

Learn more about Trigonometric functions

brainly.com/question/6904750

#SPJ2

Answer: 84

Step-by-step explanation: break down the parts and you multiply the sides and the answer to the square is 30 and the other half is 54 so 30 +54 =84

Answer:

The answer is 702.92 or answer B

Step-by-step explanation:

Use subtraction.

928.42 - 223.50 = 702.92

Hello ! ^^

• What's the new balance ?

→ b. $702.92

bc : 926.42 - 223.50 = 702.92

✘ i hope i helped you ! ✘

Answer:

0

Step-by-step explanation:

the probability that this person doesn't use any facility = 0/130

= 0

hope it helps!

Answer: I’m guessing it would be 8478 because that doesn’t make sense

Step-by-step explanation:

Answer:

It is 8478

Step-by-step explanation: