What's the standard equation of the circle with the general equation x2 + y2 + 4x – 2y – 20 = 0? answers: 1) (x + 2)2 + (y – 1)2 = 5 2) (x – 2)2 + (y + 1)2 = 25 3) (x + 1)2 + (y – 2)2 = 5 4) (x + 2)2 + (y – 1)2 = 25

Answer:

[Distance to the Horizon]^2 =Height of the skydiver x Diameter of the Earth

D^2 = 1.4 x 7918

D^2 = 11,085.2

D = Sqrt(11,085.2)

D = ~ 105.28628......miles - Distance to Horizon.

Step-by-step explanation:

Answer:

284.4 I took the test ;)

Answer:

13197

Step-by-step explanation:

You have to do 24.9*2 and then find that percent of 26500

Answer:

Step-by-step explanation:

Where is f(x)?  My answers pertains only to g(x) = -x^2 + 2x + 4.

Part of B is true:  As x approaches infinity in either direction, g(x) approaches negative infinity.  The graph of g(x) is an inverted parabola.

Answer:

Solution,

Finding the value of X,

[tex]11x + 2 = 68[/tex]

( being vertically opposite angles)

[tex]11x = 68 - 2 \\ 11x = 66 \\ x = \frac{66}{11} \\ x = 6[/tex]

Value of X is 6

Now, finding the value of z

[tex]z + 68 = 180[/tex]

(sum of angle in linear pair)

[tex]z = 180 - 68 \\ z = 112[/tex]

Value of z is 112.

Hope this helps....

Good luck on your assignment...

Answer:

Assuming you mean area the answer is 120

Step-by-step explanation:

a right triangle has too shorter sides who are perpendicular and one longer side that you can't use. the longer side is 24 since 24>20>12

so 24 is the hypontenuse (longer side)

the two perpendicular sides are 20 and 12

the area for a triangle is b*h*1/2

the base (20) times the height (12) is 240. 240 times 1/2 is 120.

Answer:

90

Step-by-step explanation:

Total People = 250

Left the party at 11 pm = 70

Stayed = 250-70

=> 180

Couples that stayed = 180/2

=> 90

Answer:

90 Couples

Step-by-step explanation:

There were 250 total people at the beginning at the party. 70 people left at 11pm.

Subtract 70 from 250:

[tex]250-70=180[/tex]

There were 180 people that stayed.

A couple consists of two people. The question asks how many couples stayed at the party, not people.

Divide 180 by 2:

[tex]\frac{180}{2}= 90[/tex]

There would be 90 couples that stayed at the party.

Answer:

6 units down

Step-by-step explanation:

Transformation is the movement of a point from its original position to a new position. If an object is transformed, all the point making the object is also transformed. There are four different transformations: Reflection, dilation, translation and rotation.

If y = f(x), y = f(x) + k is a translation k units up if k > 0 and is a translation k units down if k < 0

Given that the parent function is an absolute value represented by:

y = |x|

Therefore comparing y = |xl - 6 with y = f(x) + k, k < 0, therefore this is a translation of 6 units down

Answer:

Harry earns 26 and Hamish earns 20

Step-by-step explanation:

The computation of the amount earned by each one of them is shown below:

Let us assume the hairy be Y

And, the Hamish be M

It is given that Harry earns a dollar i.e more than 5/4

And, it is $2 less than  7/5

So, the equation would be

y = 1.25m + 1  ...........................(i)

And,

y= 1.4m -2  .............................(ii)

Now equal both the equations

1.25m + 1 = 1.4m - 2

3 = 0.15m

So, m = 20

Now put the values of m in any of the above equation to find out the value of Y

Y = 1.25m + 1

= 1.25 (20) + 1

= 26

Answer:486

Step-by-step explanation:

(Multiply by 3 each time ;))

Hope this helped!

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Answer:

multipl each 3 times

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

To first tackle this question, use similarity ratio, where the missing diameter is d. 10/15 = d/9 which can be simplified into d = 6. Then use the surface formula  

2πrh + 2πr². Then, since the radius is 0.5d, the radius or r is 3. Then, plus in values and simplify to get 226.19cm².

Answer:

B: 6x+27

Step-by-step explanation:

14+2(3x+9)-5

14+6x+18-5

14+6x+13

6x+27 is the final answer

The Answer is: B

Step-by-step explanation:

I think the answer might be 10

Answer:

24 unit

Step-by-step explanation:

This question can be solved using concept of basic proportionality theorem,

according to this theorem, if a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.

Example:

let there be a triangle ABC

if DE is drawn parallel to BC such that D is a point on line AB and E is other point on AC, then

AD/DB = AE/EC (basic proportionality theorem)

_____________________________________

Similarly in this problem

15/5 = ?/8

3= ?/8

? = 8*3 = 24

Thus. missing segment value is 24 unit.

9514 1404 393

Answer:

  a) 7:24 pm

  b) later than 7:24 pm

Step-by-step explanation:

The relationship between time, speed, and distance can be written as ...

  time = distance/speed

So, Faris's travel time to London is predicted to be ...

  time = (195 mi)/(50 mi/h) = 3.9 h = 3:54 hours

__

a) Faris's expected arrival time at a speed of 50 mph is ...

  3:30 pm +3:54 = 6:84 pm = 7:24 pm

__

b) Time is inversely proportional to speed, so a lower speed will result in a longer time.

Faris's arrival time will be later than 7:24 pm.

Answer:

your answer would be 45 I hope this was helpful

Step-by-step explanation:

Answer:

The answer is A, 45.

Step-by-step explanation:

The correct expression with the correct statement has matched below.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is equivalent to the quantity of that value between 1 and 100, and it is highly helpful for forecasting. For instance, if you say 678, we must also know the whole number, but if you say 80%, it is obvious.

The price of a game that’s been discounted by 18% of its list price

It will be (x - 0.18x)  =  0.82x

The price of a toy that sells for 18% more than the amount needed to build the toy

It will be (x + 0.18x) = 1.18x

The volume of water remaining in a tank after 3/10 of its original volume is drained out.

It will be [ x - (3/10)x ] = 7/10x

The total amount of flour in a bakery after receiving new stock equal to 3/10 of the current stock.

It will be [ x + (3/10)x ] =  13/10x

For more about the percentage,

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Answer: 2 1/10, 3.122, 3.19, 61/10

Step-by-step explanation:

Let's first turn each number into decimal form: (1/10=.1, 2/10=.2,etc.)

2.1, 6.1, 3.122, 3.19.  Obviously, the smallest number is 2.1, because it has a 2 in the ones place.  Next, we see a tie in the ones place between 3.122 and 3.19.  Then we look at the tenths place and see another tie.  Then, at the hundredths place, we see that 3.19 is greater that 3.122.  Thus, the order of the numbers is 2.1,3.122,3.19,6.1.

Hope it helps <3

Answer:

Step-by-step explanation:

Let width = w units

Length = 4w - 3

Cost for lining corners of wall = $ 18.50

Perimeter of the wall = 18.50/0.25 =  74 ft

2*(length  +width ) = 74

2*(4w - 3 + w) =74

2*(5w - 3) =74

10w - 6 = 74   {Add 6 to both sides}

10w - 6 + 6 = 74 + 6

10w = 80

Divide both sides by 10

10w/10 = 80/10

w =  8 ft

Length = 4w - 3 = 4*8 - 3 = 32 - 3

Length = 29 ft

Area of the wall = length * width

                           = 29 * 8

                           =  232 square ft

Cost of painting the wall per square feet = 20 cents = 0.20

Cost of painting 232 square feet = 232 * 0.20

                                                             = $ 46.40

Answer: B no

Step-by-step explanation:

Plot in the x and y coordinates into the equation to solve it.

The x coordinate is  4 and the y coordinate is 1  

-4(4) +3(1)= 2

-16 + 3 = 2

-13 ≠2

-13 does not equal 2 so (4,1) is not a solution.

Answer: NO

Step-by-step explanation:

[tex]Substitute \\\\-4(4)+3(1)=2\\\\Multiply\\\\-16+3=2\\\\Combine \\like \\terms\\-13=2[/tex]

-13 does NOT equal 2, so it is not a solution

Hope it helps <3

Answer:

5$??.

Step-by-step explanation:

If a magazine was 5$, 25-5= 20. So then, 20÷4= 5. There fore an eraser costs 5$.

Answer:

5 dollars

Step-by-step explanation:

Let x be the price of each eraser

We bought a magazine and 4 erasers with 25 dollars

so : 5+4x = 25⇒ 4x= 20⇒x= 20/4⇒ x=5

The eraser costs 5 dollars

Answer:

Table 2

Step-by-step explanation:

The question is to identify the table where the relative frequency of orders for blue pants is half the relative frequency of their orders for black shorts.

We are interested in the number of blue pants and black shorts.

If we name them as p and b respectively, then we are looking for a table where s/p=2

Let's verify relevant data in all tables:

Table 1:

Table 2:

Table 3:

Table 4:

So only one of tables- the second one from top represents the required data.

Answer:

The second table

Step-by-step explanation:

I did the test.

Answer:x − 3 y = − 36

Step-by-step explanation:

Answer: The initial form is called slope intercept form// and the equation in standard form is 3y=37

Step-by-step explanation:

standard form = ax+by=c so you basically just have to take that and put it into the formula

Hope this helps

Answer:

a

Step-by-step explanation:

The measure of side a is 6.3 unit.

The ratios of the length of a side to the sine of the angle opposite the side must all be the same if A, B, and C are the measurements of the angles of an oblique triangle and a, b, and c are the lengths of the corresponding sides.

Given:

c= 16 and B= 67 degree

<C= 90 degree

Using sine law

b / sin B = c / sin C

b / sin 67 = 16 / sin 90

b/ sin 67 = 16 / 1

b = 16 sin 67

b = 16 x 0.9205

b = 14. 728

Using sine law

c / sin C = a / sin A

16 / sin 90 = a / sin 23

16 = a / sin 23

a = 6.25

Learn more about Sine law here:

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Answer:

$3.55

Step-by-step explanation:

You need to add 29% of $2.75 to $2.75.

That means the price will be 129% of $2.75.

129% of $2.75 =

= 1.29 * $2.75

= $3.55

Answer:

x=1

Step-by-step explanation:

3x+3=5+x

3x-x+3=5

2x=2

x=1

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▹ Answer

x = 1

▹ Step-by-Step Explanation

3(x + 1) = 5 + x

Distribute

3x + 3 = 5 + x

Move the variable to the left and change the sign

3x - x + 3 = 5

Collect like terms

2x = 5 - 3

Calculate

2x = 2

Final Answer

x = 1

Hope this helps!

- CloutAnswers ❁

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Answer:

5/8

Step-by-step explanation:

The value of the expression is 8/15

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given an expression, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225)

The expression is in the form of (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²)

We know, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/n²) = (n+1)/2n

Here, n = 15.

So, (1- 1/4) * (1- 1/9) * (1- 1/16) *...* (1- 1/225) = (15+1)/(2.15) = 16/30

= 8/15

Hence, The value of the expression is 8/15

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Answer:

Step-by-step explanation:

1+2 cos α

[tex]=1+2(2 cos^{2} \frac{\alpha }{2} -1)\\=1+4 ~cos^2\frac{\alpha }{2} -2\\=4 ~cos^2\frac{\alpha }{2} -1\\=(2cos \frac{\alpha }{2} +1)(2 cos \frac{\alpha }{2} -1)[/tex]

Answer:

528

Step-by-step explanation:

So naturally at first sight for this question we would think -->

Oh 3 consecutive integers = 66 --> 66/3 = 22 (n-1), (n+1) so --> 21, 22, and 23.

But no. At second look it is the sum of 3 consecutive integers is greater than 66. So we find the next possible pair since it says smallest possible product.

We get the set (22, 23, 24). => Multiply the least and greatest integers together respectively 22 and 24 which amounts to => 528

And thus, we have out answer of 528

Hope this helps!