The ordered pair (3,9) is a solution to the following system of equations.

B(4,5)

anyanavicka [17]

Step-by-step answer:

The general form of an equation centered at O(0,0) is given by

x^2+y^2=r^2

where r is the radius, (x,y) is any point on the circumference.

If B(4,5) lies on the circumference, then we can find the radius of the circle by substitution:

4^2+5^2=r^2

=>

r^2 = 16+26 =41

Hence the equation of a circle centred at O(0,0) and B(4,5) on its circumference is

x^2 + y^2 = 41

8 0

3 years ago

15PTS QUICK

lana66690 [7]

Answer:

Option B

40x + 50y = 130

5x - 4y = 16

Option C

20x + 25y = 65

-20x + 16y = 64

Step-by-step explanation:

we have

$4x+5y=13$ ----> equation a

$10x-8y=-32$ ----> equation b

we know that

If two system of equations are equivalent, then their solution is the same

Part 1)

step 1

Multiply by 10 equation a both sides

$10(4x+5y)=10(13)$

$40x+50y=130$ ----> equation a'

step 2

Divide by 2 equation b both sides

$(1/2)(10x-8y)=(1/2)(-32)$

$5x-4y=-16$ ----> equation b'

so

The system of equations a and b and the system of equations a' and b' are equivalent

therefore

The system of equations a' and b' have the same solution as the given system

Part 2)

step 1

Multiply by 5 equation a both sides

$5(4x+5y)=5(13)$

$20x+25y=65$ ----> equation a'

step 2

Multiply by -2 equation b both sides

$-2(10x-8y)=-2(-32)$

$-20x+16y=64$ ----> equation b'

so

The system of equations a and b and the system of equations a' and b' are equivalent

therefore

The system of equations a' and b' have the same solution as the given system

6 0

3 years ago

Simplify the expression-2.3 + (-5.7). On the test when maureen simplified the expression she got -3.4. What mistake did maureen

Hoochie [10]

Answer:

see explanation

Step-by-step explanation:

- 2.3 + (- 5.7)

reminder that + (- ) = -

To obtain - 3.4 it is likely that she added 2.3 to - 5.7

The solution is

- 2.3 - 5.7 = - 8

4 0

3 years ago

Read 2 more answers

A ski club with 28 members went on a ski trip. some members rented skis and the rest rented snowboards. if skis rent for $16.00

Nat2105 [25]

$there \ are \ 28 \ members \\ the \ number \ of \ members \ renting \ skis - x\\the \ number \ of \ members \ renting \ snowboards - y\\skis \ rent \ for \ \$16.00 \ a \ day \ and \ snowboards \ rent \ for \ \$19.00 \ a \ day\\\\\begin{cases} x+y=28 \ \ / \cdot (-16) \\ 16x+19y = 478 \end{cases}$

$\begin{cases} -16x-16y=-448 \\ 16x+19y = 478 \end{cases}\\+ -------\\3y=30 \ \ / :3 \\y=10 \\ \\
x+y=28\\x+10=28\\x=28-10\\x=18 \\ \\ Answer: \ 18 \ members \ rented \ skis .
$

7 0

3 years ago

Twelve more than six times a number is eight times the same number. What is the number?

LekaFEV [45]

Let x = the number

6x + 12 = 8x

Subtract 6x on both sides of equation.

12 = 2x

Divide both sides of equation by 2.

6 = x

The number is 6.

4 0

4 years ago

Read 2 more answers