Find the value of each variable in the given figures

Answers:

a = 1

b = 14

c = 65

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Explanation:

Let's focus on the root x = -7+4i

Add 7 to both sides, then square both sides. Then get everything to one side so 0 is on the other side.

x = -7+4i

x+7 = 4i

(x+7)^2 = (4i)^2

(x+7)^2 = 16i^2

(x+7)^2 = 16(-1)

(x+7)^2 = -16

(x+7)^2+16 = 0

If you were to follow those steps for the other root -7-4i, then you should get the same result. Solving (x+7)^2+16 = 0 leads to the two complex roots -7+4i and -7-4i.

Expand out that expression to get it into standard form

(x+7)^2+16

(x+7)(x+7)+16

x^2+7x+7x+49+16

x^2+14x+65

The equation is now in y = ax^2+bx+c form

a = 1

b = 14

c = 65

If you were to plug those a,b,c values into the quadratic formula, you'll find that it leads to the two given roots -7+4i and -7-4i.

Answer:

26isthemedian

Step-by-step explanation:

[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 893(1 + \frac{41}{500} ) ^{1 \times 5} - 893 \\ \sf= 893 \times ( \frac{541}{500} ) ^{5} - 893 \\ \sf= 1324.30 - 893 \\ \sf = 431.30[/tex]

Answer:

$431.30(approximate value)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

15

Step-by-step explanation:

To solve this question we will be using BIDMAS.

This stands for, Brackets, indices, division, multiplication, addition and subtraction.

As brackets is first, we need to do 5+4, to get 9.

This gives us 26-9-20 divide 4

Next is division so we do 20 divide by 4, to get 5.

This gives us 29-9-5

So now we subtract 9 from 29 to get 20, and 5 from 20 to get 15, which is our final answer.

Answer:

You already know the answer is -108

Step-by-step explanation:

There is probably a formula for finding the coefficient of a variable in an expansion. But (x-3) is easy to square, and that gives us

x^2 - 6x +9

Now to square that quadratic trinomial I used an area model. You can get the entire expansion. But we are just only interested in the x terms. See image. They are in yellow on the image. You can see we get -54x two times. So

-54x + -54x is the -108x term you are interested in.

Therefore, the above answer is correct.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].

A polynomial equation exists an equation where a polynomial exists set equivalent to zero. i.e., it exists an equation constructed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It includes different exponents. The highest one demonstrates the degree of the equation.

Given: [tex]x^2 + 2x + 1[/tex] and [tex]y^2 + 2x + 3.[/tex]

Adding both of these two equations, then we get

[tex]x^2+2x+1+y^2+2x+3[/tex]

Group like terms

[tex]=x^2+y^2+2x+2x+3+1[/tex]

Add similar elements [tex]x^2+y^2+4x+4[/tex]

Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].

Therefore, the correct answer is [tex]x^2+y^2+4x+4[/tex].

To learn more about polynomial equations refer to:

https://brainly.com/question/26240147

#SPJ2

Answer:

The mean

Step-by-step explanation:

The mean would allow you to make an average aka the inference about the price of houses whilst if you take the median, you're just taking the middle number from a  list of numbers and not the average.

Answer: Median

Step-by-step explanation:

Median, because there is an outlier that affects the mean.

Step-by-step explanation:

The outlier is 1,110,000

As you have learned in the lesson, outliers affect means, meaning that you should not use them.

Hope this helped! ❤

Answer:

x = 5.

Sorry if you didn't mean find x and I have no idea about the inequality stuff.

Step-by-step explanation:

We can do a reverse equation in steps. So the first thing we'll do is..

49 - 9 which equals 40.

Then we should do a division since the opposite of multiplication is division.

40 divided by 8 = 5.

To check that we do 5 x 8 = 40 + 9.

Hope that helps. x

Answer:

See below

Step-by-step explanation:

9 + 8x [tex]\geq[/tex] 49

Subtract 9 from both sides

8x [tex]\geq[/tex] 40

Divide by 8

x [tex]\geq[/tex] 5

Answer:

The gear ratio is 36 to 12 however it can be simplified to a 6-2 gear ratio.

Answer:

answer was 3

Step-by-step explanation:

just did the test

Answer:

11 miles per hr because 10 miles took 50 minutes so add 1 mile and it is 1hr. Which is 11 miles per hr

Step-by-step explanation:

f(x) = 5^x + 2x and g(x)= 3x-6

(f + g) (x)

5^x + 2x + 3x-6

5^x + 5x -6

Answer:

ASA

Step-by-step explanation:

two angles are the same and one side is the same

Answer:

B) Likely

Step-by-step explanation:

Unlikely = < 50%

Likely = > 50%

Certain = 100%

Equally likely = 50%

Answer:

A 16. B 20). C 40 ... 40' 60'| 80. 20 20 20. 2 7 14a. 40 140|| 280'|. BX Hours. Earnings ($).

Step-by-step explanation:

Answer:

An improper fraction

Step-by-step explanation:

In improper fraction is when the numerator (top number) is greater than or equal to the denominator (bottom number)

Answer:

x = 10, theta = 30 degrees

Step-by-step explanation:

i. 6^2 + 8^2 = x^2

36 + 64 = x^2

100 = x^2

10 = x

ii. the angle is 30 degrees, because the opposite side is 1/2 of the hypotenuse.

You could also solve it with the law of sines:

sin(90)/12 = sin(x)/6

Multiply each side by 6

6 * sin(90)/12 = sin(x)

0.5 = sin(x)

x = 30 degrees

The equation of the line is [tex]y=8[/tex]

To get the required equation, use the general form of the equation of a line having a gradient [tex]m[/tex], and passing through a point [tex](x_0,y_0)[/tex]

[tex]y-y_0=m(x-x_0)[/tex]

For our problem, the line has [tex]0[/tex] gradient, and passes through the point [tex](4,8)[/tex]

substituting the required values, we have

[tex]y-y_0=m(x-x_0)\\y-8=0(x-4)\\y-8=0\\y=8[/tex]

The required equation is [tex]y=8[/tex]

Learn more here: https://brainly.com/question/1690609

Answer:12 and 12 hope this helps :)

Step-by-step explanation:

Answer:

mark her brialyist i cant spell lol

Step-by-step explanation:

Answer:

62.96%

Step-by-step explanation:

do this

51/81 ×100%

Answer:62.953%

Step-by-step explanation:

81 * (%) = 51

% = 51 / 81

% = 62.953

Answer:

1/2

Step-by-step explanation:

12 / 24 = 1/2

Answer:

12/24

Step-by-step explanation:

use the stander rise over run since the rise is 12 it goes over the run which is 24

Answer:

30

Step-by-step explanation:

Pythagorean theorem states that a^2 + b^2 = c^2

this theorem only works on triangles with an angle of 90 degrees or a right triangle.

18^2 + 24^2 = 900

the square root of 900 is 30

I did the square root of 900 because the square root is the 'opposite' of squaring which is what you need to do in order to find 'c' is the Pythagorean theorem. 'a' is 18, and 'b' is 24

Answer is 30