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4 years ago

Which equation represents a circle with the same radius as the circle shown but with a center (-1, 1)

Mathematics

1 answer:

mylen [45]4 years ago

3 0

Answer:

Option 4: (x+1)^2+(y-1)^2 = 16

Step-by-step explanation:

The radius of the given circle in attached picture is: 4 units

The center is denoted by (h,k) = (-1,1)

So,

The standard form of equation with center at (h,k) and radius r

(x-h)^2 + (y-k)^2 = r^2

Putting the values

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

(x+1)^2+(y-1)^2 = 16

Hence option number 4 is correct ..

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Identify the y-intercept of the linear equation 3x+2y-18=0

Alborosie

Answer:

3x + 2y = 18

3x = 18

x = 6

(6,0): x-intercept

2y = 18

y = 9

(0,9)

answer is a

6 0

3 years ago

15 POINTS PLEASE ANSWER WITH EXPLANATION ASP

Irina-Kira [14]

Answer:

Step-by-step explanation:

360-(155×2)=50

50÷2=25

180-25-25=130

180-35=145

180-145=35

4 0

3 years ago

?$5400 is? invested, part of it at 11?% and part of it at 8?%. For a certain? year, the total yield is ?$522.00. How much was in

Lesechka [4]

Answer:

$3000 at 11%
$2400 at 8%

Step-by-step explanation:

Let x represent the amount invested at 11%. Then (5400-x) is the amount invested at 8%. The total interest earned is the sum of the interest amounts earned on each investment. Each of those is the product of the interest rate and the amount invested.

(5400-x)·8% + x·11% = 522

432 +0.03x = 522 . . . . . . . . simplify

.03x = 90 . . . . . . . . . . . . . . . subtract 432

90/.03 = x = 3000 . . . . . . . . divide by the coefficient of x

$3000 is invested at 11%; $2400 is invested at 8%.

8 0

4 years ago

Please help me answer thanks.

Dmitry_Shevchenko [17]

Answer:

see explanation

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition when r = 4, M = 160, thus

160 = k × 4³ = 64k ( divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of variation

(a)

When r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

(b)

When M = 540, then

540 = 2.5r³ ( divide both sides by 2.5 )_

216 = r³ ( take the cube root of both sides )

r = $\sqrt[3]{216}$ = 6

5 0

4 years ago

HURRYYYYY IS DUEEE RNNNN. The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of

Mrrafil [7]

Answer:

(-5.4,3) is in the IInd quadrant, (3,-5.4) is in the IVth quadrant.

Mirror image of (-5.4,3)

Step-by-step explanation:

(a) The points are (-5.4,3) and (3,-5.4).

The origin is the center point of the graph. The right side of the x axis is positive the left side is negative. The upward direction from the origin is the positive y axis and the downward direction is negative y axis.

For (-5.4,3) the x axis location is -5.4 and the y axis location is 3

For (3,-5.4) the x axis location is 3 and the y axis location is -5.4

So, the point (-5.4,3) is in the IInd quadrant and the point (3,-5.4) is in the IVth quadrant.

(b) A mirror image with respect to y axis is the point on the opposite side of the quadrant where the point on x axis has changed the sign and y axis point remains constant.

The point (5.4,3) is the mirror image of the point (-5.4,3) with respect to y axis.

The point (3,-5.4) has the x and y points interchanged and the sign of the point on the y axis has changed when comparing to (5.4,3).

Step-by-step explanation:

Can i pretty Please be marked brainliest?

3 0

4 years ago