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3 years ago

2 COLLUM PROOFS 1 question

Mathematics

1 answer:

galina1969 [7]3 years ago

7 0

Answer:

1. <AOB and <XOZ are vert. <'s 1. Given

m<AOB = 80 m<XOZ = 6x+5

2. m<AOB = m<XOZ 2. Vertical <'s are congruent

3. 80 = 6x+5 3. Substitution

4. 75 = 6x 4. Subtraction Property of equality

5. 12.5 = x 5. Division Property of equality

Step-by-step explanation:

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What are the solutions to the equation

frosja888 [35]

Answer:

$x_1=\frac{1}{4}+(\frac{\sqrt{7}}{4})i$ and $x_2=\frac{1}{4}-(\frac{\sqrt{7} }{4})i$

Step-by-step explanation:

You have the quadratic function $2x^2-x+1=0$ to find the solutions for this equation we are going to use Bhaskara's Formula.

For the quadratic functions $ax^2+bx+c=0$ with $a\neq 0$ the Bhaskara's Formula is:

$x_1=\frac{-b+\sqrt{b^2-4.a.c} }{2.a}$

$x_2=\frac{-b-\sqrt{b^2-4.a.c} }{2.a}$

It usually has two solutions.

Then we have $2x^2-x+1=0$ where a=2, b=-1 and c=1. Applying the formula:

$x_1=\frac{-b+\sqrt{b^2-4.a.c} }{2.a}\\\\x_1=\frac{-(-1)+\sqrt{(-1)^2-4.2.1} }{2.2}\\\\x_1=\frac{1+\sqrt{1-8} }{4}\\\\x_1=\frac{1+\sqrt{-7} }{4}\\\\x_1=\frac{1+\sqrt{(-1).7} }{4}\\x_1=\frac{1+\sqrt{-1}.\sqrt{7}}{4}$

Observation: $\sqrt{-1}=i$

$x_1=\frac{1+\sqrt{-1}.\sqrt{7}}{4}\\\\x_1=\frac{1+i.\sqrt{7}}{4}\\\\x_1=\frac{1}{4}+(\frac{\sqrt{7}}{4})i$

And,

$x_2=\frac{-b-\sqrt{b^2-4.a.c} }{2.a}\\\\x_2=\frac{-(-1)-\sqrt{(-1)^2-4.2.1} }{2.2}\\\\x_2=\frac{1-i.\sqrt{7} }{4}\\\\x_2=\frac{1}{4}-(\frac{\sqrt{7}}{4})i$

Then the correct answer is option C.

$x_1=\frac{1}{4}+(\frac{\sqrt{7}}{4})i$ and $x_2=\frac{1}{4}-(\frac{\sqrt{7} }{4})i$

3 0

3 years ago

When looking at sides AC and CB, what is the included angle? Question 22 options:

Vladimir [108]

Answer:

64 degrees

Step-by-step explanation:

since it is in between the both of them and they both share the 62 degree angle

5 0

3 years ago

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Find the simple interest to the nearest cent. PLEASE HELP

Ipatiy [6.2K]

1. $546.00

2. $180.00

3. $141.38

4. $3762.00

Hope I could help !
Let me know if you need help with anything else, I would be more than happy to help.
My Username: Ashlynnicole02

8 0

3 years ago

Given a triangle with perimeter 63 cm, one side of which is 21 cm, and one of the medians is perpendicular to one of its angle b

Rainbow [258]

Answer:

The lengths of all sides of the triangle will be 21 cm, 21 cm, and 21 cm

Step-by-step explanation:

Given that the perimeter of the triangle = 63 cm

And the length of one side = 21 cm

and one of the medians is perpendicular to one of its angle bisectors

Since triangle has 3 sides,

Median = 63 ÷ 3 = 21

Therefore each side length = 21 cm

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3 years ago

What is 0.472 rounded to the nearest tenth? (2 points)

MA_775_DIABLO [31]

To round 0.472 to the nearest tenth consider the hundredths' value of 0.472, which is 7 and equal or more than 5. Therefore, the tenths value of 0.472 increases by 1 to 5.

So, the answer would be 0.5.

I hope this helped!

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3 years ago

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