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3 years ago

12

The sum of 3 consecutive integers is -27. what are the numbers?

2 answers:

DaniilM [7]3 years ago

8 0

The numbers are -10, -9, and -8.

Dafna1 [17]3 years ago

4 0

-10 ,-9 -8 those are the integers

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At 6 a.m., the temperature was –12°C. By 9 a.m., the temperature had risen by 8°C. By noon, the temperature was double what the

Volgvan

First, you must use ADDITION to find -12 + 8 (-4)
Then, use MULTIPLICATION to find -4*2 (16

1) Addition
2) Multiplication

8 0

3 years ago

Read 2 more answers

In two or three sentences explain how you would solve for the real solutions of the following equation: please help asap!!

g100num [7]

the real solutions for the equation $x^{3}=-64$ are -

$x=4,2+-2\sqrt{3i}$

Step-by-step explanation:

$x^{3}$ = $- 64$

$x^{3} +64$ = 0

We can write 64 as $4^{3}$

$x^{3}$ + $4^{3}$ = 0

using the identity ( $x^{3}+y^{3} = (x+y)(x^{2} -xy+y^{2} )$ )

we get,

= $(x+4) (x^{2} -x*4+4^{2} )$

= $(x+4)(x^{2} -4x+16)$ ....................(1)

solving the quadratic equation ,

$x^{2} -4x+16$ =0

solutions of this quadratic equation can be obtained by

$x=-b +- \sqrt{b^{2}-4ac } /2a$

let use y for factors

$x=-(-4x)+-\sqrt{(-4x^{2} )-4*x^{2} *16} / 2*x^{2}$

$x=4x+-\sqrt{16x^{2} -64x^{2} } /2x^{2}$

$x=4+-\sqrt{16-64}/2$

$x=4+-4\sqrt{3i} /2$

<u /> $x=2+-2\sqrt{3i}$ ..................(2)

from the equation 1 we have,

$x-4=0$

which gives solution $x=4$

and from equation 2 we got $x=2+-2\sqrt{3i}$

so the real solutions for the equation $x^{3}=-64$ are -

$x=4,2+-2\sqrt{3i}$

3 0

3 years ago

Consider triangle ABC. The legs have a length of 5 units each. What is the length of the hypotenuse of the triangle?

Korvikt [17]

Answer:

$5\sqrt{2}$ units.

Step-by-step explanation:

We have been given that two legs of triangle ABC measures 5 units each. We are asked to find the length of the hypotenuse.

We will use Pythagoras theorem to solve for the hypotenuse of triangle ABC.

$\text{Hypotenuse}^2=\text{Leg}^2+\text{Leg}^2$

Substituting our given values in above equation we will get,

$\text{Hypotenuse}^2=5^2+5^2$

$\text{Hypotenuse}^2=25+25$

$\text{Hypotenuse}^2=50$

Upon taking square root of both sides of our equation we will get,

$\text{Hypotenuse}=\sqrt{50}$

$\text{Hypotenuse}=\sqrt{25*2}$

$\text{Hypotenuse}=5\sqrt{2}$

Therefore, the length of hypotenuse of triangle ABC is $5\sqrt{2}$ units.

6 0

3 years ago

Read 2 more answers

Alguien sabe que pasa con los grados de los polinomios Cúando se multiplican

allochka39001 [22]

respuesta :

eso es un ejemplo aver si te ayuda

explicacion :

polinomio en una letra Grado

2x³ - 5x² + 8 ⇒ 3

6 0

3 years ago

HELP ITS AN EMERGENCY

forsale [732]

Answer:

<u>A. Vertex: (1, -8); x-intercepts: -1 and 3</u>

Step-by-step explanation:

The vertex is the point of the parabola. Basically, the part where the parabola 'scoops' up.

So the point where it scoops up is (1, -18)

The x-intercepts are the points where the line or shape touches the x-axis. The x-axis is the lines that goes from left to right.

The places where it touches the x-axis is -1 and 3

7 0

4 years ago