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Cloud [144]
3 years ago
15

Solve the system algebraically.

Mathematics
2 answers:
Alexandra [31]3 years ago
5 0

Answer:

Let 2x + y - 10 = 0 be equation (a).

Let x - y - 5 = 0 be equation (b).

Make y the subject in equation (b):

{ \tt{x - y - 5 = 0}} \\ { \tt{y = x - 5}}

Substitute for y in equation (a):

{ \tt{2x + (x - 5) - 10 = 0}} \\ { \tt{3x - 15 = 0}} \\ { \tt{3x = 15}} \\  { \tt{x = 5}}

Find y in any equation of your choice:

{ \tt{y = (5) - 5}} \\ y = 0

djyliett [7]3 years ago
5 0
Hope this helps! I used substitution method! feel free to clarify!

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Find the nth term of the geometric sequence whose initial term is a1
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Step-by-step explanation:

geometric progresion formula:

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6 0
3 years ago
Plz help !!!!!!!!1
rosijanka [135]

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3 years ago
M∠LON=77 ∘ m, angle, L, O, N, equals, 77, degrees \qquad m \angle LOM = 9x + 44^\circm∠LOM=9x+44 ∘ m, angle, L, O, M, equals, 9,
timama [110]

Answer:

Step-by-step explanation:

Given

<LON = 77°

<LOM = (9x+44)°

<MON = (6x+3)°

The addition postulate is true for the given angles since tey have a common point O:

<LON = <LOM+<MON

Since we are not told what to find we can as well look for the value of x, <LOM and <MON

Substitute the given parameters and get x

77 = 9x+44+6x+3

77 = 15x+47

77-47 = 15x

30 = 15x

x = 30/15

x = 2

Get <LOM:

<LOM = 9x+44

<LOM = 9(2)+44

<LOM = 18+44

<LOM = 62°

Get <MON:

<MON = 6x+3

<MON = 6(2)+3

<MON = 12+3

<MON = 15°

6 0
4 years ago
A stock has produced returns of 14.5 percent, 4.8 percent, 10.2 percent, and 6.1 percent over the past four years respectively.
Anettt [7]
<span>The geometric average return is the the nth root of the product of the stock returns. So we have nâš r1 * r2 * r3. Where n is the number of returns. So we have 4âš(14.5 * 4.8 * 10.2 * 6 1) This gives us 4âš ( 4330.512) The fourth root of 4330.512 is 8.1121 percent.</span>
3 0
4 years ago
Explain how subtracting 4/5 - 3/5 involves subtracting 4 and 3
Vesnalui [34]

Answer:

Explain how subtracting 4/5 - 3/5 involves subtracting 4 and 3

Step-by-step explanation:

Trains A and B, 200 km apart on the same straight track, travel at speeds of 50 km/hr and 65 km/hr respectively. At the end of 1 hour, the distance between the trains could not be

A. 85 km

B. 115 km

C. 185 km

D. 215 km

Apparently, the answer is B.) 115 km, but I need a solution.

3 0
2 years ago
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