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3 years ago

(x - 2)2 + (y + 3)2 =1). What is the radius ?

Mathematics

1 answer:

tia_tia [17]3 years ago

7 0

Answer:

radius = 1

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 2)² + (y + 3)² = 1 ← is in standard form

with r² = 1 ( take the square root of both sides )

r = $\sqrt{1}$ = 1

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Determine the point of intersection between the lines with equations x+3y=5 and 3x−2y=26.

Zolol [24]

Answer:

the ans is :

Step-by-step explanation:

First, it would be helpful to draw a quick sketch of the lines. It helps to visualize the problem.

To find the intersection point, we need to find the point where x and y are the same value in both equations.

The line equations:

6x+2y=26 ................... 1

2x+3y=18 ................... 2

Can be rearranged to the common line equation form: y = mx + c

y = 13 - 3x ................... 3

y = 6 - 2/3 x ................. 4

At the intersection point, y will be equal for both equations. So, we can set 3 equal to 4 and solve for x.

13- 3x = 6 - 2/3 x

13 = 6 + 3x - 2/3x ....... add 3x to both sides

13 = 6 + 2 1/3x ........ simplify

7 = 2 1/3 x ........ subtract 13 from both sides

7 = 7/3 x ......... multiply both sides by 3/7

3 = x

To calculate the y-coordinate substitute x = 3 into 3.

y = 13 - 3x

y = 13 - 3(3)

y = 4

To check your answer, substitute the values for x and y into the other equation, 4.

The point of intersection is (3,4).

If you drew a sketch of the problem, you should be able to see that this point of intersection makes sense.

4 0

3 years ago

Read 2 more answers

The function shown below was created to track the different intervals of speed that an automobile travels over a period of 28 se

Ksenya-84 [330]

Answer:

1. The car is slowing down at a rate of 2.5mph/s

2. The greatest acceleration is 10 mph/s.

3. In the interval 4s to 16s the speed remains constant and has magnitude 25 mph.

Step-by-step explanation:

1. The deceleration of the car is from 16 seconds to 24 seconds is the slope $m$ of the graph from 16 to 24:

$m=\dfrac{\Delta speed }{\Delta time } = \dfrac{5-25}{24-16} =-2.5mph/s$

the negative sign indicates that it is deceleration.

2. The automobile experiences the greatest change in speed when the slope is greatest because that is when acceleration/deceleration is greatest.

From the graph we see that the greatest slope of the graph is between 28 and 24 seconds. The acceleration the interval is the slope $m$ :

$m= \dfrac{45-5}{28-24}= 10mph/s$

3. The automobile experiences no acceleration in the interval 4 s to 16 s—that's the graph is flat.

The speed of the automobile in that interval, as we see from the graph, is 25 mph.

7 0

3 years ago

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Pls we only need part B to pass this subject

ikadub [295]

Answer: Weird

Step-by-step explanation: Maybe calculate all the numbers I guess.

8 0

2 years ago

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Plz help this is due today AND NO LINKS OR GROSS PICTURES OR I REPORT

pshichka [43]

Answer:

Step-by-step explanation:

an obtuse angle is an angle from 90 - 180 degrees, so it would greater than 90 degrees

4 0

3 years ago

A local car dealership sells Buicks and Hondas. The following data shows the number of buyers this month according to the brand

Lina20 [59]

Answer:

16%

Step-by-step explanation:

The data provided on brand purchased by age group is.

$\begin{array}{ccc}Age&Buick&Honda\\Under\ 40&6&17\\40\ or\ older&19&8\end{array}$

A total of 50 cars were sold this month.

Since the number of buyers 40 years or older that purchased a Honda is 8, the percentage is:

$P=\frac{8}{50}=0.16=16\%$

16% of buyers were 40 years or older and purchased a Honda.

8 0

2 years ago