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3 years ago

Use substitution to solve the system of equations. 2x+y=4 -2x+y=-4

Mathematics

2 answers:

Gre4nikov [31]3 years ago

4 0

Answer:

Step-by-step explanation:

1*2x+y=4

-1*2x+y=-4

-2x=-y-4

2x=y+4

x=y+4/2

Alecsey [184]3 years ago

4 0

Answer:

(2,0)

Step-by-step explanation:

(Brainliest please)

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The ____ property allows you to regroup terms using parentheses when adding or multiplying

Vadim26 [7]

Answer:

"associative"

Step-by-step explanation:

The associative property lets you change the grouping of terms of a sum or of a product.

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3 years ago

Team A and Team B play in a competition.

Anuta_ua [19.1K]

Team A: 15 points
Team B: 3 points

Team A has twelve more points than Team B:
A = B + 12
Team A has five times as many points as Team B:
A = B × 5
A = 5B

substitute "A" with "B + 12" to solve for B:
A = 5B
(B + 12) = 5B
B + 12 = 5B
12 = 5B - B
12 = 4B
3 = B
Team B has 3 points
now substitute "B" with 3 to solve for A:
A = 5B
A = 5(3)
A = 15
Team A has 15 points

Check your answer by inputting both values into either equation:
A = 5B
(15) = 5(3)
15 = 15 ✔

A = B + 12
(15) = (3) + 12
15 = 15 ✔

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Margarita [4]

Answer :-

9(3+√3) feet

Step by step explanation :-

A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .

Now here the other angle will be = (90°-30°)=60° .

In ∆ABC ,

=> sin 30 ° = AB / AC

=> 1/2 = AB / 18ft

=> AB = 18ft/2

=> AB = 9ft .

Again In ∆ ABC ,

=> cos 30° = BC / AC

=> √3/2 = BC / 18ft

=> BC = 18 * √3/2 ft

=> BC = 9√3 ft .

Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .

<h3>Hence the perimeter of the triangular pathway shown is 9 ( 3 + √3 ) ft .</h3>

3 0

3 years ago