Between which two consecutive integers is the square root of -13

Mathematics

1 answer:

lubasha [3.4K]3 years ago

6 0

Two consecutive integers are -4-9 and 1(-13)

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ALLL MY POINTS PLSSS HELPPPPP

Rama09 [41]

Rewrite the given quadratic equation in standard form: Kx 2 + 2x - 1 = 0

Discriminant = 4 - 4(K)(-1) = 4 + 4K

For the equation to have two real solutions, the discriminant has to be positive. Hence we need to solve the inequality 4 + 4K > 0.

The solution set to the above inequality is given by: K > -1 for which the given equation has two real solutions.

3 0

4 years ago

Read 2 more answers

When a force of 30 N acts on a certain object the acceleration of the object is 5m/s2 if the force is changed to 54 N what will

PtichkaEL [24]

Answer:

The correct answer is 9 m per $second^{2}$

Step-by-step explanation:

Force is defined by mass of an object times it's acceleration.

Let the mass of the object be m kilograms.

When a force of 30 N acts on a certain object the acceleration of the object is 5 m per $second^{2}$

∴ 30 = m × 5

⇒ m = 6.

If the force is changed to 54 N, let the acceleration of the object be x m per $second^{2}$ .

∴ 54 = m × x

⇒ x = $\frac{54}{6}$ = 9

Thus when the force is 54 N, the acceleration of the object is 9 m per $second^{2}$ .

6 0

4 years ago

CD and CB are tangent to circle A. If CD = 5x – 13 and CB = 12, find x.<br>

hoa [83]

Answer:

Step-by-step explanation:

because 5•5=25 and 25-13=12

6 0

3 years ago

Select the procedure that can be used to show the converse of the

Vera_Pavlovna [14]

Answer:

The correct option is C

Step-by-step explanation:

I attached an image that forms the complete question.

The converse Pythagorean theorem states that, "If the square of the longest side of a triangle is equal to the square of the other two sides, then the triangle is a right triangle."

That is if c is the longest side of a triangle and then a and b are the other sides, then if,

c² = a² + b², the triangle is a right triangle.

Looking at all the options, option C fits the theorem well. Because

3² + 4² = 5² implies the triangle is a right triangle and the converse theorem is established.

The option D also looks close, but it's not correct because you can just draw any two sides and put the right angle in between them. The longest is always the part of the triangle that is opposite to the right angle, 90°. If for instance, you draw 3 and 5 then put the right angle in between them, 4 will take the position of the longest side which is wrong.

Therefore, the correct option is c.