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alexandr402 [8]
3 years ago
10

Solve the system of equations using elimination. 2x – 3y = 9 and 3x + 2y = –6

Mathematics
2 answers:
Zinaida [17]3 years ago
7 0
We will multiply the given equations so that the x component is cancels out upon addition...

-3(2x-3y=9)+2(3x+2y=-6)  perform indicated operations.

(-6x+9y=-27)+(6x+4y=-12)  which is equal to:

13y=-39  divide both sides by 13

y=-3, making <span>2x-3y=9 become:

2x-3(-3)=9

2x+9=9  subtract 9 from both sides

2x=0  divide both sides by 2

x=0

So the solution to the system is the point (0,-3)...

You can check with the two original equations...

2(0)-3(-3)=9, 9=9

3(0)+2(-3)=-6, -6=-6</span>
Whitepunk [10]3 years ago
5 0
(0,-3) is the point which is your system of equations using elimination answer
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Please answer this correctly I have to finish this today as this is my deadline
Musya8 [376]

Answer:

r = 1.499619733762 m  There is no such thing a quarter radius!

C = 9.4223886775301 m

A = 7.065 m^2

Step-by-step explanation:

Calculate r and C | Given A

Given the area of a circle calculate the radius and circumference

r = √(A / π)

C = 2πr

Agenda:

r = radius

C = circumference

A = area

π = pi = 3.1415926535898

√ = square root

8 0
3 years ago
The beakers shown below have different precisions. label the amount of water in each of the three beakers to the correct number
san4es73 [151]

The diagram is attached below

Beaker 1: The measurement line is between 32  and 33. There are 5 lines between 32  and 33. Making line is between third line and fourth line(between 6 and 8). So 32.7

Beaker 2: The measurement line is between 30  and 40. We can clearly see the measurement line at 32. So its 32

Beaker 3: The measurement line is between 32.7  and 32.8. We have 10 small lines inbetween them. Measurement line at 4. So its 32.74

(b) the amount of water in each of 3 beakers are not same because we can measure the difference. But they are close to each other.

3 0
2 years ago
You invested $10,000 into two accounts: one that has a simple 3% interest, the other with 2.5% interest. If your total interest
artcher [175]

Answer:

3300 was on 3% and 6700 on 2,5%

Step-by-step explanation:

We can say that 'a' represents the price that will go on 3% interest and 'b' 2,5% interest.

Therefore;

a + b = 10 000

And

0,03a + 0,025b = 283.5 (0,03 means 3% etc)

You can move 'b' to the other side to leave 'a' on the LHS

0,03a = 283.5 - 0,025b - - > (divide both sides by 0,03)

a=9450 - 0,8333b

Substitute this equation as 'a' in the first equation to get:

9450 - 0,8333b + b = 10 000 (move 9450 to the RHS to leave values with b on the LHS)

-0,8333b + b = 10 000 - 9450

0,1666b = 550 (divide both sides by 0,1666)

b = 3,300

Therefore 'a' will be :

a= 10 000 - 3 300

a = 6700

I hope this helps.

4 0
3 years ago
Cups by the water cooler are in the shape of a cone. The height is 15 cm and the diameter is 7.6 cm.
dangina [55]

Answer:

226.7 cm³

Step-by-step explanation:

The cone volume formula is V = (1/3)(base area)(height).

Here that comes out to V = (1/3)(pi)(3.8 cm)^2·15 cm, or 226.7 cm³

3 0
2 years ago
Find the Area of the Shaded Region.
agasfer [191]

Answer:

I think it should be 32

Step-by-step explanation:

11 x 7= 77

9 x 5=45

77-45=32

3 0
2 years ago
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