Find the radii of the circles satisfying the two requirements:(a) The circles are in the second quadrant and tangent to both axes.
(b) Point (−4, 4) is on their circumferences.

Answers

Answer 1
Answer: the radii of the circles  is 4 / 2 = 2.

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A certain aquarium holds 20 gallons of water. How many quarts of water does the aquarium hold?
the perimeter of a triangle is 8x+3y. The length of two sides of the triangle are 4x+y and 2x-3y. Find the measure of the third side of the triangle.

PLEASE HELP! In quadrilateral MNOP, ∠M ≅ ∠N. Quadrilateral MNOP could be a:

I. trapezoid II. rhombus III. parallelogram


A) III only

B) II or III

C) I, II, or III

D) I or II

Answers

C

because a quarteratrall is a shape with 4 sides a rhombus has 4 sides a trapezoidal has 4 sides and a paralleagram two be a shape it has to have four sides or else it wont be a parallel

Answer:

C

Step-by-step explanation:

Karey is prescribed 600 mg of a medication that decays at a rate of 40% per day, d, according to the equation

Answers

Answer : 7.8%

Karey is prescribed 600 mg of a medication that decays at a rate of 40% per day, d, according to the equation

m=600(0.6)^d

Noelle takes same amount before 5 days.

Amount of medication remain in Nelle's body is

m=600(0.6)^5 = 46.656

Karey is prescribed 600 mg of a medication

We need to find out what percentage of 46.656 in 600

(46.656)/(600) =0.07776

Now multiply it by 100 to get percentage

0.07776 * 100 = 7.8%

Answer:b

Step-by-step explanation:

Joe has been keeping track of his cellular phone bills for the last two months. The bill for the first mont was $38.00 for 100 minutes of usage. The bill for the second month was $45.50 for 150 minutes of usage. Find a linear equation that gives the total monthly bill based on the minutes of usage

Answers

The problem here is that you need to find what is the monthly fee for the telephone + the fee per minute.

Data we are looking for:

x - subscription plan
y - rate per minute

1. Finding the monthly fee (x) + rate per minute (y)

x + 150y = 45.50
x + 100y = 38.00
you have to deduct those equatations (x - x = 0, 150y - 100y = 50y, 45.5 - 38 = 7.5)

- finding rate per minute:
50y = 7.50
5y = 0.75
y = 0.15

- finding monthly fee
x + 150 *0.15 = 45.50
x = 45.50 - 22.50
x = 23.00

Looking at the data above you can see that no matter for how many minutes you use your phone you have to pay 23$. For every minute you spend talking the fee is 0.15$

That is why (z) the total amount you have to pay consist of 23 (subscription) + 0.15y (15c per minute):

z = 23 + 0.15y

Add a comment if sth is not clear

Answer:

Step-by-step explanation:

We can make 2 simultaneous equations and solve for the set fee

and the per minute charge:

 

Let x = fixed monthly rate

Let m = per minute charge

 

x + 100m = 135    {equation 1}

x + 500m = 375    {equation 2}

 

subtract equation 1 from equation 2

 

400m = 240

m = 0.6

 

substitute that back into equation 1 or 2 to solve for x.

Using equation 1

 

x + 100(.6) = 135

x + 60 = 135

x = 75

 

The fixed monthly rate is $75

The per minute charge is $0.6

*****************************

If y is the total cost for a month and x is the

number of minutes used the equation is:

 

y = 0.6x + 75

A coordinate grid with 2 lines. The first line labeled f(x) passes through (negative 3, 3), (0, 2), and (3, 1). The second line labeled g(x) passes through the points at (negative 3, 0) and (0, 2) What is the solution to the system of linear equations? (–3, 0) (–3, 3) (0, 2) (3, 1)

Answers

The solution to the system of linear equations is (0,2). The correct option is C.

What is a system of linear equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

It is given that in a coordinate grid with 2 lines. The first line labelled f(x) passes through (-3, 3), (0,2), and (3, 1). The second line labelled g(x)passes through the points at (-3, 0) and (0, 2).

Plotting the two lines by using the points on the graph. After plotting the points there will be two lines that will intersect at the point ( 0, 2 ). Then the solution of the equation is ( 0,2).

Therefore,the solution to the system of linear equations is (0,2). The correct option is C.

To know more about equations follow

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Answer:

(0, 2) or C

Step-by-step explanation:

Andrew stays in shape by running various distances throughout the week. On monday he ran 3 miles on tuesday he ran 4.6 on thrusday 6.76 and on saturday he runs 4.8 miles. What is the mean distance that andrew runs per day

Answers

Answer:

The mean distance that Andrew runs per day is 4. 79 miles.

Step-by-step explanation:

Distance Covered on Monday = 3 miles

Distance Covered on Tuesday = 4.6 miles

Distance Covered on Thursday = 6.76 miles

Distance Covered on Saturday = 4.6 miles

Now,

Average Distance = \frac{\textrm{Sum of the Ditance Covered}}{\textrm{Toatk number of Days}}

Average mean distance = (3 + 4.6 + 6.76 +4.8)/(4)  = (19.16)/(4)  = 4.79 miles

Hence, mean distance that Andrew runs per day is 4. 79 miles.

Find the distance between (-6,8) and (10,-4)

Answers

The distance between (-6,8) and (10,-4) is 20 units.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]   D = √((x-p)^2 + (y-q)^2) \: \rm units.

We are given that;

The points (-6,8) and (10,-4)

Now,

To use the formula, you need to plug in the values of x1, y1, x2 and y2 into the formula and simplify. For example, to find the distance between (-6,8) and (10,-4), you can do:

d = (10 - (-6))^2 + (-4 - 8)^2

d = (16)^2 + (-12)^2

d = 256 + 144

d = 400

d = sqrt(400)

d = 20

Therefore, the distance formula the answer will be 20 units.

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Answer:

use the distance formula you can find it on the net