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3 years ago

Give the center and radius of the circle. (x - 5)2 + y2 = 16

Mathematics

1 answer:

olasank [31]3 years ago

7 0

Answer:

Centre: (5,0)

Radius: 4

Step-by-step explanation:

r² = 16

r = 4

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Find the value of x in the triangle shown below.<br> Choose 1 answer:

Ad libitum [116K]

For the triangle, x is 12 units long.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse is the side which is the longest in the triangle and is always opposite the right angle.

In the given triangle, the hypotenuse is 13 units long. The other two sides measure 5 units and x units.

Step 2:

By substituting the known values, we get

$13^{2} = 5^{2} + x^{2} .$

$x^{2} = 169 - 25 = 144.$

$x = 12.$

Rounding this off to the nearest hundred, we get that x is 12 units long.

7 0

2 years ago

There is a lock with 5 buttons numbered from 1 to 5. The combination that opens this lock can be set to any sequence of buttons

Fittoniya [83]

Answer:

Answer Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis explanation the given figure has vertices p(1,2),q(2,1),r(3,2),s(3,3)recall that for counterclockwise rotation about the origin, (x,y)\rightarrow (-x,-y)when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)

Step-by-step explanation:

7 0

2 years ago

A provider order has been received for a dobutamine (dobutrex®) drip at 7 mcg/kg/min. the patient's weight is 220 lbs. how many

Liula [17]

To figure this out you first need to determine how many kg there are in 220 lbs. 1 lb equals 0.454 kg, so 220 lbs= 99.88 kg.

It states that a patient receives 7mcg per kg per minute, so the patient will receive 7 x 99.88=699.16 mcg per minute.

You need to convert this to a number of mcg per hour, so multiply the amount by 60 to get 41949.6 mcg per hour.

4 0

2 years ago

Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28

dedylja [7]

Answer:

$\huge\boxed{x = 6 , y = -2}$

Step-by-step explanation:

$\sf \frac{1}{2} x - 3y = 9-----------(1)\\5x + y = 28 ----------(2)$

Taking equation (1)

$\sf \frac{1}{2} x -3 y=9$

Multiplying both sides by 2

$\sf x-6y = 18$

Adding 6y to both sides

$\sf x = 18+6y$

Putting this in (2)

5(18+6y) + y = 28

90 + 30y+y = 28

31y+90-28 = 0

31 y + 62 = 0

31y = -62

Dividing both sides by 31

y = -2

Now,

x = 18 + 6y

x = 18+6(-2)

x = 18-12

x = 6

7 0

3 years ago

Read 2 more answers

Only people who know the answer

polet [3.4K]

Answer:

156ft of material.

Step-by-step explanation:

Since the garden path borders the garden and is 3 feet wide, it increases the side lengths of his garden by 3 feet on each side. Then we just find the perimeter using the new values:

$P=36+36+42+42=156$

If this helped, a brainliest answer would be greatly appreciated!

5 0

2 years ago