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3 years ago

The solution for x2 + 2x + 8 ≤ 0 is

Mathematics

2 answers:

allochka39001 [22]3 years ago

7 0

The answer to this is an empty set!

Gre4nikov [31]3 years ago

6 0

Answer:

Step-by-step explanation:

Please use " ^ " for exponentiation: x^2 + 2x + 8 ≤ 0.

Let's solve this by completing the square:

x^2 + 2x + 8 ≤ 0 => x^2 + 2x + 1^2 - 1^2 + 8 ≤ 0. Continuing this rewrite:

(x + 1)^2 + 7 ≤ 0

Taking the sqrt of both sides: (x + 1)^2 = i*sqrt(7)

Then the solutions are x = -1 + i√7 and x = -1 - i√7

There's something really wrong here. I've graphed your function, x^2 + 2x + 8, and can see from the graph that there are no real roots, but only complex roots. Please double-check to ensure that you've copied down this problem correctly.

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I need the perimeter of this triangle. Round to the nearest tenth. Quickly please

Butoxors [25]

Answer:

The perimeter of the triangle is about 17.1 units.

Step-by-step explanation:

The perimeter of a triangle is the sum of its three side lengths.

We can see that the two legs of the triangle both measure five units.

To find the third segment, we can use the Pythagorean Theorem since the x-axis is perpendicular to the y-axis. Recall that:

$a^2 + b^2 = c^2$

Where a and b are the two legs and c is the hypotenuse.

Our two legs are 5 and 5. Hence:

$(5)^2 + (5)^2 = c^2$

Solve for the hypotenuse:

$\displaystyle \begin{aligned} c &= \sqrt{(5)^2 + (5)^2} \\ &= \sqrt{2(5)^2} \\ &= 5\sqrt{2}\end{aligned}$

Hence, our perimeter will be:

$\displaystyle P = 10 + 5\sqrt{2} \approx 17.1 \text{ units}$

In conclusion, the perimeter of the triangle is about 17.1 units.

5 0

3 years ago

08.03 MC)

mihalych1998 [28]

Answer:

(5,38)

Step-by-step explanation:

The correct question is

A system of equations is shown below:

y = 8x − 2

y = 9x − 7

What is the solution to the system of equations?

(−5, 38)

(−5, −38)

(5, 38)

(5, −38)

we have

$y=8x-2$ ----> equation A

$y=9x-7$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$9x-7=8x-2$

solve for x

$9x-8x=7-2$

$x=5$

Find the value of y

Substitute the value of x in the equation A or in the equation B

$y=8(5)-2=38$

therefore

The solution is the point (5,38)

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3 years ago

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konstantin123 [22]

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Answer:

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Step-by-step explanation:

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4 years ago

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Novay_Z [31]

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Hope this helps.

5 0

3 years ago

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