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GrogVix [38]
3 years ago
15

Use the substitution method to solve the system of equations

Mathematics
1 answer:
yarga [219]3 years ago
5 0

Answer:

C. (3,2)

Step-by-step explanation:

to begin the substitution method, we can begin by substituting the answer choice value into the given system or equations to determine if the values make the equation true.

the first choice is (2,1)

3(2) + 2(1) = 13

6 + 2 is not equal to 13. Therefore this answer choice is incorrect.

second choice (1,2)

3(1) + 2(2) = 13

3 + 4 is not equal to 13. This answer is also incorrect.

third choice (3,2)

3(3) + 2(2)

9 + 4 = 13 is true!

we can also substitute these x and y values for the equation underneath:

y = x - 1

2 = 3 - 1

2 = 2 is true! Therefore, C. (3,2) is correct!

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What is the median of these numbers 45,78,34,56
8090 [49]

Answer:

50.5

Step-by-step explanation:

45+56 then divide by 2 to find the middle of the 2 numbers

8 0
3 years ago
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The length of one leg of a right triangle is 24ft and the length of the hypotenuse is 40ft what is the length of the other leg
lukranit [14]
Use formula a squared equals to c squared minus b squared

40^2-24^2 is 1024

Square root of 1024 is 32.0
8 0
3 years ago
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5x-6y=-15 5x+6y=12 use elimination
Vlad [161]
<span>5x-6y=-15
5x+6y=12
---------------add
10x = -3
x = -3/10
x = -0.3

</span>5x+6y=12
5(-0.3) + 6y = 12
6y = 12 + 1.5
6y = 13.5
y = 13.5 / 6

y = 2.25
4 0
3 years ago
1044 fans join a club in the first month after the first month nine new members are allowed to join each month how many members
laiz [17]

Answer:

Total number of members in month 34 is 1341 members.

Step-by-step explanation:

We have given,

Number of fans join a club in first month = 1044

And after the first month nine new members are allowed to join each month.

After first month , Let the number of club members in x months will be given as:

Number of members = 1044 + 9x

We need to find number of members in month 34.

So for first month we already had 1044 members, that mean for remaining 33 months we need to calculate members.

i.e total number of members in month 34 = 1044 + (33×9 )     , {Since x = 33 here}  

OR total number of members in month 34 = 1044 + 297  = 1341 members

3 0
3 years ago
Find the exact value of the trigonometric expression given that sin u = − 8 17 and cos v = − 24 25 . (Both u and v are in Quadra
Rashid [163]

Answer: sin u = -5/13 and cos v = -15/17

Step-by-step explanation:

The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.

So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),

==> adj of u = -12 therefore cos u = -12/13

Same argument for v: adj = -15,

opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17

The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)

I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.

3 0
3 years ago
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