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Xelga [282]
4 years ago
13

A system of equations is graphed on the coordinate plane. y = -6x - 3, y = -x + 2, what is the solution of equations?

Mathematics
1 answer:
UkoKoshka [18]4 years ago
8 0

(x, y ) → (- 1, 3 )

The solution to the system of equations is the point of intersection of the 2 lines

From the graph, that is (x, y ) → ( - 1, 3 )

We can confirm by solving algebraically

Since both equations express y in terms of x we can equate the right sides

- x + 2 = - 6x - 3 ( add 6x to both sides )

5x + 2 = - 3 ( subtract 2 from both sides )

5x = - 5 ( divide both sides by 5 )

x = - 1

substitute x = - 1 into either of the 2 equations for y-coordinate

y = - x + 2 = 1 + 2 = 3

solution is (x, y ) → (- 1, 3 )


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3 years ago
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the radius of the inner white circle of the doughnut is 2cm. The circumference of the outer edge of the doughnut is 43.96cm. Wha
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Answer:

141.4 sq cm

Step-by-step explanation:

to find the area of the outer circle with a smaller circle inscribed within, you find the area of each and subtract the smaller area from the larger

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we have to find the radius of the larger circle so we use what we know about its circumference:

C = 2πr

43.96 = 2πr

21.98 = πr

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3 years ago
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3 years ago
What is the factored form of the polynomial? z2 − 10z + 25
Crank

Answer:

(z−5)(z−5)

Step-by-step explanation:

Let's factor z2−10z+25

z2−10z+25

The middle number is -10 and the last number is 25.

Factoring means we want something like

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Which numbers go in the blanks?

We need two numbers that...

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Can you think of the two numbers?

Try -5 and -5:

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Fill in the blanks in

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