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BARSIC [14]
4 years ago
14

Which ordered pair is a solution to the system of linear equations?

Mathematics
2 answers:
Lostsunrise [7]4 years ago
8 0
(0,2)............................................
Andreyy894 years ago
4 0
We have to add the equations in a clever way such that one of the variables cancels out. If you multiply the top one with 3 and the bottom one with 2, you cancel x. Like this:

3(2x+3y)=3*6 => 6x + 9y = 18
2(-3x+5y)=2*10 => -6x + 10y = 20

9y + 10y = 38 => 19y = 38 => y=2

If y=2 then 2x + 6 = 6 => x=0

The pair (0,2) is a solution.

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Answer:

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Step-by-step explanation:

5 0
3 years ago
Do any numbers multiply into 7 and add up to 8? or is it unfactorable
faltersainse [42]
1
1x7=7
1+7=8
1 is the answer
5 0
3 years ago
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 8 cm. Find the area of the shaded regio
icang [17]

Answer:

Area of the shaded region = 6.88 cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the semicircle

Area of the rectangle = Length × Width

Length of the rectangle = AD = 8 cm

Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]

Area of the rectangle = 8 × 4 = 32 cm²

Area of the semicircle = \frac{1}{2}\pi r^{2}

                                     = \frac{1}{2}\pi (OP)^{2}

                                     = \frac{1}{2}\pi (4)^{2}

                                     = 25.12 cm²

Area of the shaded region = 32 - 25.12

                                              = 6.88 cm²

3 0
3 years ago
If Maria drew her paintings on a 1 inch grid paper,how many squares would te painting cover?
lesya692 [45]
Is there any multiple choices if so can i see them
7 0
3 years ago
Factor completely. 2x^2y + 2xy + 4x + 4 A. (2x + 4)(xy + 1) B. (2x + 4y)(x + 1) C. 2(xy + 2)(x + 1) D. (2xy + 4)(x + 1)
KonstantinChe [14]

Answer:

2(xy + 2)(x + 1)   (C)

Step-by-step explanation:

2x^2y + 2xy + 4x + 4

= 2xy(x + 1) + 4(x + 1)

= (2xy + 4)(x + 1)

=  2(xy + 2)(x + 1)

7 0
3 years ago
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