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Mashutka [201]
2 years ago
5

Solve the given system of equations. The solution to the system is ( , ).

Mathematics
2 answers:
MAXImum [283]2 years ago
3 0

Answer:

x=3

y=1

Step-by-step explanation:

First, get x and y on the left in the lower equation. -2x+10y=4. Then solve using a calculator. Select (apps), PlySmlt2, Simultaneous EQN Solver, and enter your euqations in.

SOVA2 [1]2 years ago
3 0

Answer:

(3, 1)

Step-by-step explanation:

I will show the strategy of elimination in my solution, you can use other strategies but I will use elimination.

Line up variables:

4x - 3y = 9

10y = 2x + 4 -> -2x + 10y = 4

Multiply by 2 for elimination:

-4x + 20y = 8

Now we can add the equations together:

17y = 17

y = 1

Since we know that y is 1, we can plug that into an equation in the system and see what x is.

4x - 3 = 9

4x = 12

x = 3

x = 3

y = 1

Check our answer:

12 - 3 = 9 - Correct

10 = 6 + 4 - Correct

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Solnce55 [7]

no it is not a tangent

for it to be a tangent to the circle Angle A would have to be a right angle.

to check if its a right angled triangle, you can use pythagoras.

\sqrt{ {7.5}^{2}  +  {16}^{2} }  = 17.67059...

this shows it is not a right angled triangle because this calculation does not give us 10.3

therefore it is not a tangent and there is no right angle

8 0
3 years ago
In the expansion of (ax+1)^7<br> the fifth term is 945x^3<br> Find the value of a.
Advocard [28]

Answer:

a = 3

Step-by-step explanation:

First start writing out the binomial expansion of (ax + 1)^7

[1^7] + [7C1 * 1^6 *(ax)] + [7C2*1^5*(ax)^2]+[7C3*1^4*(ax)^3]

as you can see from this, the last bracket will produce our x^3 term

7C3*1^4*a^3x^3 \\35a^3x^3\\35a^3 = 945\\a^3 = 27\\a = 3

Hope this helps, let me know if you have any questions :)

6 0
3 years ago
To solve 4÷13, Matthew thinks about blocks that each weigh 13 pound and how many blocks he would need to put on a scale so that
gtnhenbr [62]

Answer: 0.31

Step-by-step explanation:

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8 0
2 years ago
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An angle measures 70° more than the measure of its supplementary angle. What is the measure of each angle?
kipiarov [429]

Answer:

One angle is 55 degrees, and the other is 125 degrees.

Step-by-step explanation:

Supplementary angles add up to be 180 degrees.

Since one angle measures 70 degrees more than the other, you can say that the other angle is x while the one angle is 70 + x.

x + x + 70 = 180

2x + 70 = 180

2x = 180 - 70

2x = 110

x = 55

So, one angle is 55 degrees, while the other is 55 + 70 = 125 degrees.

To make sure that they add up to be supplementary angles, 125 + 55 = 180.

Hope this helps!

7 0
3 years ago
a train passes through an intersection at the rate of 3 cars per 30 seconds. Assume that it takes 5 minutes for the train to com
Levart [38]

Answer:

30

Step-by-step explanation:

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5 0
3 years ago
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