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2 years ago

Which equation describes the circle with center (5, -1) and radius 4?

Mathematics

1 answer:

Alex777 [14]2 years ago

7 0

Answer:

$(x-5)^2+(y+1)^2=4^2$

Step-by-step explanation:

The equation is: $(x-h)^2+(y-k)^2=r^2$

(h, k) = center.

$(x-5)^2+(y+1)^2=4^2$

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1. Given line segment RB and on it is point C, if RB = 45 and CB = 3x - 12 and RC = 2x + 9, what is the value of x?

marshall27 [118]

Answer:

Step-by-step explanation:

1). If a point C is lying on a line segment RB,

Then RB = RC + CB

Since, RB = 45, CB = 3x - 12 and RC = 2x + 9

45 = (2x + 9) + (3x - 12)

45 = (2x + 3x) - 3

48 = 5x

x = $\frac{48}{5}$

x = 9.6

2). Since, RC = 2x + 9

RC = 2(9.6) + 9

= 19.2 + 9

= 28.2 units

3). Distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between the points A(2, -2) and D(-2, 2) will be,

$AD=\sqrt{(2+2)^2+(-2-2)^2}$

= $\sqrt{16+16}$

= $4\sqrt{2}$

= 5.657

≈ 5.66 units

7 0

2 years ago

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jok3333 [9.3K]

Answer:

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Step-by-step explanation:

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7 0

3 years ago

Write nine hundred one and seventy-five thousands in expanded form

34kurt

900000+1000+70000+5000

6 0

3 years ago

The slope of the line shown in the graph is ? and the y intercept of the line is ?

ohaa [14]

Pick 2 points on ur line and use the slope formula : (y2 - y1) / (x2 - x1)

(y2 - y1) / (x2 - x1)
(-9,0)....x1 = -9 and y1 = 0
(0,6).... x2 = 0 and y2 = 6
now sub
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ur y intercept is where ur line crosses the y axis...and that would be (0,6)....or just 6 <==

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2 years ago

Distance between A (2, -1) and (2,a) is 4 units. Find the value of a where a is positive.

kolezko [41]

Answer:

a = 3

Step-by-step explanation:

Calculate the distance d using the distance formula and equate to 4

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$