Consider the equation of a circle x^2-2x+y^2-4y-4=0. If the line 2x-y+a=0 is its diameter. Then find the value of a.

Answers

Answer 1

Answer:

a=0

Step-by-step explanation:

x²-2x+y²-4y-4=0

(x²-2x+1)+(y²-4y+4)-9=0

(x-1)² + (y-2)² = 3²

Center: (1,2)     radius: 3

(1,2) on line 2x-y+a=0

2*1 - 2 + a = 0

a = 0


Related Questions

help me please thanks ​

Answers

Answer:

9.25 would be the value of x

Explanation:

Perimeter = 2(l + w)

2(13.25 + 9.25)

= 45

2. Locate fire stations so that each district has a fire station in it or next to it, formulate this problem to minimize the number of fire stations needed. ​

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Answer:

hello which grade question i

An electronic company refurbishes game systems The table shows the profit made for the number of game systems sold. How much profit will be made for 35 game systems?

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Answer: Give me the table and ill answer..

Step-by-step explanation:

Conner earns 24$ working every 1.5 12 blank

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Answer: That makes no sense. Maybe did your copy and paste corrupt? Or mistyped the question? Get back to me and I’ll help!!

Step-by-step explanation:

Find the GCF and LCM for 16 and 24.

Answers

Greatest Common Factors (GCF) of 16 and 24 = 8

Least Common Multiple of 16 and 24 = 48

GCF means Greatest Common Factors

Factors of 16 = 1, 2, 8, 4, and 16

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24

Common Factors of 16 and 24 = 1, 2, 4, and 8

Greatest Common Factors (GCF) of 16 and 24 = 8

LCM means Least Common Multiples

Multiples of 16 = 16, 32,48, 54.....

Multiples of 24 = 24, 48, 72....

The Least Common Multiple of 16 and 24 = 48

Learn more on GCF and LCM here: https://brainly.com/question/219464

are Proportional and non-proportional equations are all linear.

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Proportional and linear functions are very similar. The only difference is the addition of the “​b​” constant to the linear function. A proportional relationship is just a linear relationship where ​B​ = 0, or where the line passes through the origin (0, 0).

how do i solve for this?

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For one set the two equations equal to eachother and solve from there. 2 is 45
For three set the two equations equal. Same for four

(01.04 MC)The elevation of city A is 80 feet below sea level; the elevation of city C is 16 feet below sea level. The elevation of city D is 1 over 2 of the elevation of city C. Part A: Write an expression to represent the elevation, in feet, of city D. (5 points) Part B: Solve the expression and explain why the answer is negative or positive. (5 points)

Answers

A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ft

B) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.

First of all, sea level is at 0 ft.

Thus;

If city A has an elevation of 80 ft below sea level, then;

Elevation of city A = -80 ft

The elevation of city C is 16 feet below sea level. Thus;

Elevation of city C = -16 ft

A) The elevation of city D is ¹/₂ of the elevation of city C. Thus;

Expression for Elevation of city D = ¹/₂ × (-16)

B) Solving the expression for elevation of city D gives;

Elevation of City D = -8 ft

The reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.

Read more about below sea level elevations at; https://brainly.com/question/14837848

Answer:

A) The expression to represent the elevation in feet of city D is; ¹/₂ × (-16) ftB) The solution to the expression of the elevation of City D is; -8 fr which is negative because it falls below sea level.First of all, sea level is at 0 ft.Thus;If city A has an elevation of 80 ft below sea level, then;Elevation of city A = -80 ftThe elevation of city C is 16 feet below sea level. Thus;Elevation of city C = -16 ftA) The elevation of city D is ¹/₂ of the elevation of city C. Thus;Expression for Elevation of city D = ¹/₂ × (-16)B) Solving the expression for elevation of city D gives;Elevation of City D = -8 ftThe reason why the answer is negative is because any distance below sea level is considered to be negative and city C which is twice the elevation of city D is negative, and so city D must also have a negative elevation.

I can write an equation​

Answers

Answer:

Step-by-step explanation:

y = mx + b

slope m is found as the change in y over the change in x

as y decreases 3 units for a 3 unit increase in x, the slope is -3/3 = -1

The y intercept b is where the plot crosses the y axis, 4 units above the x axis

y = -1x + 4

or

y = 4 - x

need help with math probelem i will give you 5 stars and a good rating

Answers

Answer:

8 feet

Step-by-step explanation:

12 x 2 =24

40 - 24 = 16

16 /2 = 8

Hope it helps :)

A restaurant bill comes to $28.35. Find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax.

Answers

Bill was for $28.35.  A 20% tip would come to $5.67.  If we add this tip to the $28.35 bill, we get a total of $28.35 + $5.67 + 0.0625($28.35)

                                                 = $35.79 (total)

please give brainlist

What is the sale price with 15% off? Original price: $110 of bears head phones

Answers

Answer:

93.5

Step-by-step explanation:

Solveee

8 ( x - 1 ) + 17 ( x - 3 ) = 4 ( 4x - 9 ) + 4


118 - 65x - 123 = 5x + 35 - 20x ​

Answers

Answer:

1)

[tex]x = 3[/tex]

2) [tex]x = - \frac{4}{5} [/tex]

Step-by-step explanation:

To know the solution with Proof .Refer To the above attachments .

Hope this helps you !!

Answer:

Step-by-step explanation:

distribute the 8,17,and 4 throughout the parentheses to get

8x-8+17x-51=16x-36+4

combine like terms

25x-59=16x-32

subtract 16x from both sides and add 59 to both sides to get

9x=27

divide both by 9

x=3

use technology to find points and graph the line x - 3y = -6​

Answers

(0,2) is one of the points you could plot

Determine the y-intercept of the following equation.
(-2 - 1)(2+3) = y

Answers

Answer:

(0,-15)

Step-by-step explanation:

i think.. trust someone else!! I'm not 100% sure...

6(31)+6(4)-6(15) mental math form

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186+6 multiple 4-6 multiple 15
186+24-90
120 answer

[tex]6(31)+6(4)-6(15)=6(31+4-15)=6(20)=120[/tex]

ok done. Thank to me :>

4) Change the recurring decimal 0.18 to a fraction. (2marks)
You must show all your working.

Answers

Answer:

18/100 or 9/50

Step-by-step explanation:

First, put 0.18 over 100 because there are 2 digits in the decimal, so you convert it to 18/100. Then, simplify it, and because the GCF is 2, divide the numerator and denominator. The final fraction ins 9/50.

Find the perimeter of the figure.

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[tex]perimeter = 17 + 19 + 7 + 11 + 10 + 8 \\ [/tex]

[tex]perimeter = 72 \: \: cm[/tex]

Which expression is equivalent to (6x + 12)?

Answers

Answer:

2(3x + 6)

Step-by-step explanation:

Six points are plotted on the number line.



Which points on the number line are opposites?

Answers

Answer: P and U

Step-by-step explanation:

The scale of a map is known to be 1: 500 000. Find the actual distance (in km) between a mall and the bus interchange if the represented distance on the map is 3.2 cm.​

Answers

Step-by-step explanation:

when the scale says 1:500000, then that means 1 unit in the map corresponds to 500000 units in reality.

and so, 3.2 cm on the map are

3.2 × 500000 cm in reality.

3.2 × 500000 = 1,600,000 cm = 16,000 m = 16 km

Evaluating Expressions with Real Numbers - Item 8069
Which statement best explains why this expression is equal to 1?
0.54 +0.27
0.24 + 0.57

Answers

Answer:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. For example 0.54+0.27 and 0.24 +0.57, If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

hope this helps.

6. (5 points) Graph using two intercepts; show your work in finding the intercepts. 6x - 3y = 18
х

Answers

Answer:

Divide both sides by 18. The new coefficients will be the reciprocals of the intercepts:

[tex]6x-3y=18 \rightarrow \frac6{18}x - \frac3{18}y = 1 \rightarrow \frac x3-\frac y6 =1[/tex] The two intercepts are then 3 and -6.

(I know, dividing by 3 both sides of the equations would have made the whole process way easier).

Alternatively, plug x = 0 to find the y intercept and y=0 to find the x intercept. Either way the graph will look something like the one I'm sketching on paint.

Arrange the following numbers in increasing order.

2.3, 45.1, 18.735, 0.9862, 7

Answers

Step-by-step explanation:

1. 0.9862

2. 2.3

3. 7

4. 45.1

5. 18.735

Solve for the value of X

Answers

Check the picture below.

From a sample of 45 students exam scores, it was found that there was a mean score was 75 and a standard deviation of 5. Assume the distribution of exam scores is normal.

construct and interpret a 95% confidence interval for the true mean score.

Answers

Answer:

The 95% confidence interval for the true mean score is [tex][73.539,76.461][/tex]

Step-by-step explanation:

Note that [tex]CI=\bar x\pm z\frac{s}{\sqrt{n}}[/tex] where [tex]\bar x[/tex] is the sample mean, [tex]z[/tex] is the upper critical value for the desired confidence level, [tex]s[/tex] is the sample standard deviation, and [tex]n[/tex] is the sample size.

Therefore, [tex]CI=75\pm 1.96\frac{5}{\sqrt{45}}\approx[73.539,76.461][/tex]

A graph of y=f(x) is given. No formula for f is given. Find the graph of g(x)=f(-1/2x).

Answers

Answer:

B

Step-by-step explanation:

To do this, we'll need to understand the skeleton form of transformations and what each variable represents in the equation. We have y = a(x-h) + k, where a represents vertical scaling, h the horizontal shift, and k the vertical shift.

So in this case, we need to reflect the graph over the y axis and horizontally scale it by a factor of 2 (i.e. stretch the graph horizontally). The answer is B.

A market increased the price of cheese selling for $4.98 per pound by 3%. What is the new
price for two pounds of cheese?

QUICK

Answers

Answer:

$10.26

Step-by-step explanation:

$4.98x0.03= 0.1494,

4.98+0.1494= 5.13

2; 5.13+5.13= 10.26

Answer:

$10.26

Step-by-step explanation:

$4.98*103/100=x

x=5.1294

2 pounds=2x=$10.2588=$10.26

Consider the equation of a circle If the line is its diameter. Then find the value of a.

Answers

Answer:

more info??? bc that doesn't make sense i guess

Question is in image
In the diagram below, ST is parallel to PR

Answers

Answer:

  D.

Step-by-step explanation:

There is nothing in the figure to indicate the triangles are isosceles. This eliminates answer choices A, B, C.

Answer choice D is a required step in the proof, but only gets part of the way. The triangle similarity means ...

  SQ/PQ = TQ/RQ

From here, you need to decompose each of the sides PQ and RQ into parts. Then you can get to the desired relationship.

  (PQ -PS)/PQ = (RQ -RT)/RQ . . . segment sum theorem

  1 - PS/PQ = 1 -RT/RQ . . . . . . . do the division

  -PS/PQ = -RT/RQ . . . . . . . . subtract 1 (subtraction property of equality)

  PS/PQ = RT/RQ . . . . . . . . multiply by -1 (multiplication property of equality)

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