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3 years ago

Which of the following is a solution of x2 − 10x = −36? (6 points)

Mathematics

1 answer:

Softa [21]3 years ago

6 0

Answer:

Step-by-step explanation:

Given

x² - 10x = - 36

Solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 5)x + 25 = - 36 + 25

(x - 5)² = - 11 ( take the square root of both sides )

x - 5 = ± $\sqrt{-11}$ ( add 5 to both sides )

x = 5 ± i $\sqrt{11}$

Thus

x = 5 - i $\sqrt11}$ or x = 5 + i $\sqrt{11}$

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Which of the following are possible discriminants for a quadratic function that crosses the x-axis twice? Check all that apply.

Sedaia [141]

Answer:

1001

Step-by-step explanation:

If a quadratic function crosses the x-axis twice, it has two solutions. For a quadratic function in $ax^2+bx+c$ with discriminant $b^2-4ac$ , the following is true:

If $b^2-4ac>0$ , then the quadratic has two real solutions
If $b^2-4ac=0$ , then the quadratic has one real solution
If $b^2-4ac$ , then the quadratic has no real solutions

Therefore, in order to have two solutions, a quadratic's discriminant must be larger than 0. The only two answer choices that satisfy this are 1001 and 1.

7 0

2 years ago

The Epic of Gilgamesh is the world’s oldest known

maw [93]

It’s b. Cuneiform writing

4 0

3 years ago

Read 2 more answers

According to the given information, segment uv is parallel to segment wz, while angles squ and vqt are vertical angles. angle vq

svp [43]

Angle vqt is congruent to Angle squ by the vertical angles theorem. because angles squ and wrs are corresponding angles, they are congruent according to the Corresponding angles theorem.

Option b is true.

Here,

Segment uv is parallel to segment wz,

Angles squ and vqt are vertical angles.

Angle vqt is congruent to Angle squ by the Vertical angles theorem.

What is corresponding angles?

Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

Now,

Angle vqt is congruent to Angle squ by the vertical angles theorem.

When, two angles are corresponding angle then, Angle vqt is congruent to Angle squ by the Vertical angles theorem.

And, they are congruent according to the Corresponding angles theorem.

Hence, Segment uv is parallel to Segment wz, while Angles squ and vqt are Vertical angles. Angle vqt is congruent to Angle squ by the vertical angles theorem. Because angles squ and wrs are corresponding angles, they are congruent according to the corresponding angle theorem. finally, Angle vqt is congruent to Angle wrs by the transitive property of equality.

So, Option b is true.

Learn more about the corresponding angles visit:

brainly.com/question/22190474

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4 0

2 years ago

What is the answer to this?

alexdok [17]

Answer:

x < 2.5
x > 2.5

Step-by-step explanation:

One way to do this is to try a number for x and see if it makes the inequality true. A suitable number here is x=0. This value of x is less than 2.5.

For x=0, you have ...

5 > -5 . . . . . true; the solution space is x < 2.5

For x=0, you have ...

-25 > -5(2.5)

-25 > -12.5 . . . . . false; the solution space is x > 2.5

_____

<em>Alternate solution</em>

Subtract 5:

-4x > -10

Divide by -4

x < 2.5

Divide by -5:

5 < x +2.5

Subtract 2.5

2.5 < x

x > 2.5

6 0

2 years ago

Riley is building a garden box for his backyard. He wants the perimeter to be 32 ft long. If

MA_775_DIABLO [31]

Answer:

Length of the garden = 10 ft

Step-by-step explanation:

Perimeter of a garden = 2(length + width)

Perimeter of the garden = 32 ft

Width of the garden = 6 ft

Length of the garden = x ft

Perimeter of a garden = 2(length + width)

32 = 2 ( x + 6 )

Open parenthesis

32 = 2x + 12

Subtract 12 from both sides

32 - 12 = 2x + 12 - 12

20 = 2x

Divide both sides by 2

20 / 2 = 2x / 2

10 = x

x = 10 ft

Therefore, length of the garden = x = 10 ft

3 0

3 years ago