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# What is the y-intercept of x^2+2x+6

2 months ago

## Solution 1

Guest #3082
2 months ago
The y-intercept occurs when x = 0.
y = x^2 + 2x + 6
Let x = 0
y = 0^2 + 2 * 0 + 6
y = 6
Answer: 6

## Solution 2

Guest #3083
2 months ago
Y-intercept is a point when x=0,
so
y=x²+2x+6=0²+2*0+6=6
y=6
So y-intercept is (0,6)

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6x – 2y = 10 2x + 3y = 51 Solving the first equation above for y gives
Solution 1

Answer with Step-by-step explanation:

6x – 2y = 10

2x + 3y = 51

Solving the first equation above for y:

6x-2y=10

⇒ 2y=6x-10

dividing both sides by 2

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Putting value of y in second equation

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Hence, solution is: x=6 and y=13

and  Solving the first equation above for y gives: y=3x-5

Solution 2
The answer is
x=6 and y=13
hope i helped
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A ________________ event has a 100% chance of occurring. Example: Picking a red ball from a bag of only red balls.
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Solution 1
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Question
Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles. A. Diagonals of a parallelogram bisect opposite angles. B. Consecutive sides of a parallelogram are congruent. C. Consecutive angles of a parallelogram are congruent. D. Consecutive angles of a parallelogram are supplementary.
Solution 1

Answer with explanation:

Theorem : The diagonal of a parallelogram divides it into two congruent triangles.

Properties of parallelogram

1. Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite Angles are equal.

If you will look at the first three options

A:  Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)

B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)

C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)

D: Consecutive angles of a parallelogram are supplementary.→→→→True

For,any parallelogram, having vertices , A, B and C and D

Opposite sides are parallel, so

1.∠A + ∠B=180°

2.∠C + ∠B=180°

3.∠C+ ∠D=180°

4. ∠A + ∠D=180°

Option D

Solution 2

Answer:

Opposite sides of a parallelogram are congruent.

Step-by-step explanation:

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