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3 years ago

11

Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should t

he length of the third side be). Write the inequalities for each case. 8 and 13

1 answer:

Paraphin [41]3 years ago

6 0

The triangle inequality tells you the third side will be between the difference and sum of the other two sides.

5 < third side < 21

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What are the solutions of x^2-2x+5=0

sweet [91]

The solution of $x^{2}-2 x+5=0$ are 1 + 2i and 1 – 2i

<u>Solution:</u>

Given, equation is $x^{2}-2 x+5=0$

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ --- (1)

<em><u>Let us determine the nature of roots:</u></em>

Here in $x^{2}-2 x+5=0$ a = 1 ; b = -2 ; c = 5

$b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16$

Since $b^2 - 4ac < 0$ , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

$x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}$

On solving we get,

$x=\frac{2 \pm \sqrt{4-20}}{2}$

$x=\frac{2 \pm \sqrt{-16}}{2}$

$x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}$

we know that square root of -1 is "i" which is a complex number

$\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}$

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

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3 years ago

If a recipe calls for 0.800 kg of flour , about how many ounces of flour does it need? (1lb=16 oz, 1 lb = 0.454 kg )

stiks02 [169]

For this case we must take into account the following conversions of units:
1lb = 16 oz
1 lb = 0.454 kg
Applying the conversion of units we have:
(0.800) * (1 / 0.454) * (16/1) = 28.1938326
Rounding off we have:
28.2 oz
Answer:
it needs 28.2 oz of flour

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3 years ago

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Oduvanchick [21]

It should be n+4=3n. Hope this helps

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2 years ago

Fred the clown can create 20 animal balloons every 15 minutes.

jok3333 [9.3K]

8 ( 20divided by 15=1.333 then times that by6)
And
60 (triple 15)

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3 years ago

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HELP ME!!!! giving 40 points and brainliest!!!!

kykrilka [37]

Answer:

Step-by-step explanation:

17.7+8.3+13.0+2090=24.805g

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2 years ago