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3 years ago

The graph shows the solution to which system of equations?

Mathematics

2 answers:

vichka [17]3 years ago

6 0

Start by seeing where the lines go. They cross (intersect) at (1, -1). We can use this to check later.
Now for slope: green is -4/2 = -2
pink is 4/2 = 2
Now we can create the equations
Let's make green = g(x) and pink = p(x)
if we use y = mx + b, then the green has a y-intercept (b) of +1
So g(x) = -2x + 1
pink has a y-intercept of -3, so p(x) = 2x - 3
Now let's plug n play: put our solutions x into each equation and confirm that it makes the y = -1
g(x) = -2x + 1 = -2(1) + 1 = -2+1 = -1
p(x) = 2x - 3 = 2(1) - 3 = 2-3 = -1

✔ YES THEY ARE CONFIRMED

sweet [91]3 years ago

4 0

Answer:

The answer is C

Step-by-step explanation:

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Complete the coordinate proof of the theorem. Given: A B C D is a rectangle. Prove: The diagonals of A B C D are congruent.

Inessa05 [86]

Step-by-step explanation:

Given coordinates of the rectangle ABCD:

A(0, 0), B(a, 0), C(x, y), D(0, b)

Lets first find coordinates of C

We can see that A and B are on same line horizontally, so C and D will be on the parallel line

The distance AB and CD are equal also distance AD and BC are equal, therefore

AB = a - 0 = a, CD = a
AD = b - 0 = b, BC = b

So the coordinates of C are:

x = a, y = b

Now the diagonals:

AC = √(a-0)² + (b-0)² = √a²+b²
BD =√(0-a)² + (b -0)² = √a² + b²

Since AC = BD, we can state they are congruent

3 0

3 years ago

Read 2 more answers

(9×100)+(8×10)+(7× 1000 1 )

ivolga24 [154]

Answer:

7980

Step-by-step explanation:

900+80+7000=7980

8 0

2 years ago

2 numbers whose product is 40 and sum is -13

lina2011 [118]

Answer:

1. -5 and -8

2. -7 and -4

3. -15 and -1

4. 7 and -2

5. -5 and 1

6. 2 and -5

7. -8 and 9

8. 5 and -4

Step-by-step explanation:

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2 years ago

How does writing an equation help you solve a problem?

vredina [299]

So you wont forget what you wrote and it helps you to figure out the problem. I hope this helps.

8 0

4 years ago

1.01x10^4 decimal notation

marshall27 [118]

$1.01\times10^4=1.01\times10,000=1\underbrace{0100}_{4\to}=10,100$

Answer:

1.01 × 10⁴ - scientific notation

10,100 - decimal notation

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3 years ago