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REY [17]
3 years ago
13

Solve the system of equations by multiplying and adding. Enter the solution as an ordered pair.

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

(x, y) = (- 3, 4)

Step-by-step explanation:

Given the 2 equations

5x + 2y = - 7 → (1)

4x - y = - 16 → (2)

multiply all terms in (2) by 2

8x - 2y = - 32 → (3)

Add (1) and (3) term by term

(5x + 8x) + (2y - 2y) = (- 7 - 32)

13x = - 39 ( divide both sides by 13 )

x = - 3

Substitute x = - 3 into either (1) or (2) and solve for y

substituting in (1) gives

(5 × - 3) + 2y = - 7

- 15 + 2y = - 7 ( add 15 to both sides )

2y = 8 ( divide both sides by 2 )

y = 4

solution is (- 3, 4 )


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For a regular tessellation, the shapes can be duplicated infinitely to fill a plane such that there is no gap. The only shapes that can form regular tessellations are equilateral traingle(all sides are equal. This means that it can be turned to any side and it would remain the same), square and regular hexagon. Looking at the given options, we have

Shape Tessellate?

Octagon No

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1 year ago
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Answer:

Step-by-step explanation:

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4 0
3 years ago
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Savatey [412]

Answer:

The surface area of Triangular base Prism = 3682 cm²

Step-by-step explanation:

Given in question as :

For a Triangular base prism ,

The base of  prism (b) = 24 cm

The height of prism (l) = 29 cm

Each side length (s) = 37 cm

The height of base triangle ( h ) = 35 cm

Hence , we know that The surface area of Triangular base prism is

 = (b×h) + (2×l×s) + (l×b)

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Hence The surface area of Triangular base Prism is 3682 cm²  Answer

3 0
3 years ago
Susan is writing a linear equation for the cost of her cell phone plan. In the first month, she talks for 52 minutes and is char
Alex787 [66]
Assuming that the cost per minute is the same for both months and the plan fee is the same, you can use y=mx+b for this

y is the cost of the phone plan, x is the cost per minute and b is the start cost.

so    19.41=25x+b for the first month
and  45.65=380x+b for the second month

solve both for b you get:
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this means the cost per minute is 0.08c/min (answer A)

rewrite the equation to calculate b, and where this time, the x is the number of minutes talked.

y=0.08x+b and plug in one of the two months

45.65=0.08 * 380 + b

Solve for b and b is 15.25

so the final equation is

y=0.08x+15.25  (answer B)
5 0
3 years ago
If f(x) = 3x - 5, than f(2) =
Mamont248 [21]
If we substitute 2 into x it'll be:

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3 years ago
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