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dmitriy555 [2]
1 year ago
13

Find the equation of a line that passes through the point (5,2) and has a gradient of 2. Leave your answer in the form y = m x +

c
Mathematics
2 answers:
romanna [79]1 year ago
7 0

Answer:

y=2x-8

Step-by-step explanation:

X1=5 Y1= 2

gradient m=2

y-y1=m(x-x1)

y-2=2(x-5)

Y-2=2x-10

y=2x-10+2

y=2x-8

WINSTONCH [101]1 year ago
5 0

good luck!!... hope it help! :)

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Find the center and radius of the circle whose equation is x2 + y2 - 6x-2y+4= 0
marin [14]

Answer:

The center of the circle = (3, 1)

The radius of a circle is given as r = √6

Step-by-step explanation:

The equation of a circle is given as:

( x - a)² + (y - b)² = r²

where ( a , b) = center of the circle

r = radius of the the circle

In the question above, we are given the equation of a circle as

x² + y² - 6x - 2y + 4= 0

In order to find the center and radius of this circle we would use completing the square method to solve it

Step 1

Collect the like terms

x² - 6x + y² - 2y + 4= 0

Step 2

Complete the square for both x and y

x² - 6x + (-6/2)² + y² - 2y + (-2/2)² = - 4 +(- 6/2)² + (-2/2)²

x² - 6x + (-3)² + y² - 2y + (-1)² = -4 + (3)² + (1)²

x² - 6x + 9 + y² - 2y + 1 = -4 + 9 + 1

(x² - 6x + 9) + (y² - 2y + 1 )= -4 + 9 + 1

(x² - 3x - 3x +9) + ( y² - y - y +1) = 6

x(x - 3) -3( x - 3) + y( y - 1) - 1( y - 1) = 6

(x - 3) (x -3) +(y - 1) ( y - 1) = 6

(x - 3)²(y - 1)² = 6

Since,

The equation of a circle is given as:

( x - a)² + (y - b)² = r²

where ( a , b) = center of the circle

r = radius of the the circle

The equation of the the circle for the above question is calculated as:

(x - 3)²(y - 1)² = 6

where ( a , b) = center of the circle = (3, 1)

r = radius of the the circle

r² = 6

r = √6

8 0
2 years ago
HELP DUE IN 10 MINS! Use right triangle trig to solve for the missing angles. Round all answers to the nearest degree (whole num
pogonyaev

Answer:

relationship between base and perpendicular is given by tan angle

tan ?=perpendicular./base

tan?=5/16

?=tan-¹(5/16)=17.35=17

7 0
2 years ago
Determine the measure of angle BZC.
dusya [7]

Answer:

70 degrees

Step-by-step explanation:

Angle BZA = Angle BZC = 20 degrees

Reason : These two angles are Vertically opposite angles.

Angle BZA + Angle BZC = 90

20 + Angle BZC = 90

Angle BZC = 90 - 20

Angle BZC = 70 degrees

8 0
3 years ago
Suppose that a certain movie earns $3,000,000 in ticket sales. If 60% goes to the movie and 40% goes to theatres: Movie studios
miskamm [114]

Answer: See explanation

Step-by-step explanation:

Amount earned by movie = $3,000,000.

Percentage that went to movie = 60%

Percentage that went to theater = 40%

Revenue gotten by movie studio = 60% × $3,000,000

= 0.6 × $3,000,000

= $1,800,000

Revenue gotten by theaters = 40% × $3,000,000

= 0.4 × $3,000,000

= $1,200,000

5 0
3 years ago
Hey again.. Please answer!!
Molodets [167]

Answer:

I can't see the question

its too small can you type it out?

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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