i need help solving for x. with pythagorean theorem.​

Number of solution for the given quadratic equation as Discriminant=0 is equals to 1.

" Quadratic equation is defined as the polynomial containing variables with highest exponent equals to 2."

Formula used

For quadratic equation

[tex]ax^{2} +bx+c=0[/tex]

Discriminant = b²-4ac

According to the question,

Given quadratic equation

[tex]-3 = x^{2} +4x+1[/tex]

⇒[tex]x^{2} +4x+1 +3 =0[/tex]

⇒[tex]x^{2} +4x+4 =0[/tex]

Here, a=1 , b= 4 , c =4

Substitute the value in the formula we get,

Discriminant = [tex]4^{2} - 4(1)(4)[/tex]

                     = [tex]16 -16[/tex]

                     = 0

Number of solution discriminant =0 is 1.

[tex]x^{2} +4x+4 =0[/tex]

⇒[tex](x+2)^{2} =0[/tex]

⇒[tex]x= -2[/tex] has unique solution.

Hence, number of solution for the given quadratic equation as Discriminant=0 is equals to 1.

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Answer:

E. 12 red, 6 green, 4 blue

Step-by-step explanation:

To find the number of colored pencils for each color, we must find ratios.

480 red: 240 green: 160 blue

Then we divide them to the simplest ratios.

We divide all the numbers by 80.

6 red: 3 green: 2 blue

There are a total of 11 pencils here. To get 22 pencils, you multiply the ratio by 2 to get 22 pencils.

12 red: 6 green: 4 blue

The pencils of each color are 12 red, 6 green, 4 blue. The correct option is E.

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils.

Without looking, Carlos pulls out 22 pencils.

The pencils were distributed randomly in the bin.

To find the numbers of pencils of each color:

First, we will find the ratio.

Red : Green : Blue

= 480 : 240 : 160

We will factor out the common factor,

= 12: 6: 4

Therefore, 12 red, 6 green, 4 blue are the pencils of each color.

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Answer:

From the question, Stacey deposits $2600 six times over a thirty year period since she makes the deposit every five years. Her amount accures by the formular. A = P(1+r/n)^nt. Where her principal P = $2,600. Rate, r =6% =0.06. Time = 30 years and the period of compounding per unit time, n = 6 years. So we have A =2, 600(1+(0.06/6))^(6*30) = 2, 600 (1 + 0.01)^(180) = 2600* 5.9958 = $15, 587. To the nearest cent we have $15, 590.

Step-by-step explanation:

:)

Answer:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

Step-by-step explanation:

[tex]\tan \angle B = \dfrac{AC}{BC} \\\\\implies \angle B = \tan^{-1} \left(\dfrac{AC}{BC} \right) = \tan^{-1}\left(\dfrac 56 \right)=39.81^{\circ}[/tex]

As per linear equation, option-A and option-B are the equations of  straight line.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given equations are:

A. [tex]3x + 2y = 8[/tex]

It is an equation of a straight line as it matches the standard form of a linear equation.

B. [tex]y = \frac{x}{2} - 5[/tex]

This is also an equation of a straight line as it matches the standard form of a linear equation.

C. [tex]y = x^{2} + 3[/tex]

It is not an equation of a straight line as it does not match the standard form of a linear equation.

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Answer:

The greatest common factor (GCF) is the largest number that is a factor of two or more numbers, and the least common multiple (LCM) is the smallest number that is a multiple of two or more numbers.

Answer:

5.8+5.8+8.2+8.2=28m

Step-by-step explanation:

If you want to find the PERIMETER  you just need to add up the length of all of the sides. No multiplication needed. Just add the numbers. Don’t forget that there are multiple sides so even though only two are labeled dont forget to add every single side that the shape has.

Adjacent angles share a common side. Think of two neighboring adjacent apartments that share a common wall.

Answer:

x = ±1

Step-by-step explanation:

x² - 1 = 0

x² = 1

x = ±1

I hope this helps!

Answer:

reference attached

Step-by-step explanation:

Answer:

It's ok. Math can be really difficult, but don't give up and you'll understand.

To begin, this is a transversal. A transversal is a set of parallel lines that have a third line intersecting them.

In the photo below, you can see the original angle given and it is 35°. On the same line directly across from it is an angle that is also 35°. This follows the rule of vertical angles, which are angles produced by the same two lines. It also states that they are congruent.

You'll also see that the angle next to the original angle is 145°. This follows the rule of supplementary angles, which states that two angles that are on the same straight line will equal 180° when added together.

The angle opposite to that is 145°, which can be proven by vertical angles.

Through a method called corresponding angles, we can see that the original angle is corresponding with the angle below it.

Then you would repeat the process for the top.

Hope this helps!

Answer:

2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

x=2x+8/x

x-2x=8/x

-x=8/x

8=-x(x)

8=-x^2

8-(-x^2)=0

8+x^2=0

x^2+8=0

x=2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

[tex]x = \frac{2x + 8}{x} [/tex]

[tex] {x}^{2} = 2x + 8[/tex]

[tex] {x}^{2} - 2x - 8 = 0[/tex]

[tex](x - 4)(x + 2) = 0[/tex]

[tex]x = 4[/tex]

or

[tex]x = - 2[/tex]

Answer:

1N

Step-by-step explanation:

Assuming acceleration of gravity=10m/s²

Force=100/1000kg×10m/s²=1N

Answer:

x = 0,4

Step-by-step explanation:

Given

Simplifying

Answer:

Step-by-step explanation:

In this question we have given an equation that is x² - 4x = 0 and we have asked to find all the possible values of x . So finding our answer ,

[tex] \longmapsto \: x {}^{2} - 4x = 0[/tex]

Step 1 : We are taking x common :

[tex] \longmapsto \: x(x - 4) = 0[/tex]

Step 2 : That means :

[tex] \longmapsto \:x = 0 \: and \: (x - 4) = 0[/tex]

Step 3 : Finding value of x for x - 4 :

[tex] \longmapsto \:x = 4[/tex]

[tex] \pink{ \boxed{ \sf{Therefore , \: value \: of \: x \: are \: 0 \: and \: 4 }}}[/tex]

Answer:

Below

Step-by-step explanation:

281.6x20%= 56.32

281.6+56.31=337.91

337.91x12%=40.55

337.91+40.55=378.46

Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:

[tex]n = 864, \pi = \frac{426}{864} = 0.493[/tex]

Then, the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526[/tex]

The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

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Answer:

Step-by-step explanation:

It would be about 3.14 as since it is only 1 inch pi is multiplyed by one and when rounding pi to the hundreths you get 3.14 hope this helps

Answer:

  -7

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

__

Using the first two points from your list, we find the slope to be ...

  m = (29 -36)/(40-39) = -7/1 = -7

The slope of the line is -7.

Answer:

Claire

Step-by-step explanation:

Answer:

The only true statement is :

The graph of the function is a parabola

Step-by-step explanation:

f(x) = x² – 5x + 12

Option 1: The value of f(–10) = 82  

Reason : f(-10) = (-10)² – 5(-10) + 12 = 100 + 50 + 12 = 162 ≠ 82

Option 2: The graph of the function is a parabola  [tex]\huge\checkmark[/tex]

Option 3: The graph of the function opens down

Reason : the coefficient of x² is 1 ,which is a positive number then the graph opens up.

Option 4: The graph contains the point (20, –8)

Reason : f(20) = 312 ≠ -8

Option 5: The graph contains the point (0, 0)

Reason : f(0) = 12 ≠ -8

Answer:

ABC

Step-by-step explanation:

To find the period

  ⇒ let's define what the period is

Definition of Period:  the interval of time between successive occurrences of the same state in an oscillatory or cyclic phenomenon

Based on the definition:

     ⇒it states that we must look for how long it takes the function to

         complete one cycle of repetition

In this graph: it takes [tex]\pi /2[/tex] to complete one period or one cycle of repitition

Answer: [tex]\frac{\pi }{2}[/tex]

Hope that helps!

Answer:

The answer of this question is 7

Step-by-step explanation:

because 1 page=$0.70 and now calculate

10×1×0.70=7

To edit 10-page play you have to pay $7.

"It is the method of finding the value of a single unit, and based on that value we can find the required value."

For given question,

A play is of 10 pages.

It charges $0.70 per page to edit.

So, to edit 10-page play the cost would be,

10 × $0.70 = $7.0

Therefore, to edit 10-page play you have to pay $7.

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Check the picture below.

Answer:

39%

Step-by-step explanation:

21/125=.168

33/125=.264

.432-.044352=.387648*100=39%

the last net, it's the only one with a rectangle and 4 triangels

Answer:

D

Step-by-step explanation:

Again all it takes is for you to image wat the shape would fold into.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

Happy to help! :)

Using empirical rule, 99.85% of the data falls above 61

Data;

Using empirical rule, it states that 68% of data is within 1 standard deviation from the mean mean± standard deviation 95% of data falls within 2 standard deviations from the mean mean± 2* standard deviation and 99.7% of data falls within 3 standard deviations from the mean mean± 3sd . So we can say that 0.15% of data are below mean minus 3 * standard deviation and 0.15% of data are above mean+3sd. In this case, the mean is 67 , SD = 3.

And if 61 is 3×SD below mean

[tex]Pr(X > 61)=1-Pr(X\leq 61) = 1 - 0.0015 = 0.9985\\1-0.0015=0.9985[/tex]

99.85% of data is above 61

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Answer:

a₆ = 243

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

3 ÷ 1 = 9 ÷ 3 = 27 ÷ 9 = 3

this indicates the sequence is geometric with nth term

[tex]a_{n}[/tex] = a₁ × [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 1 and r = 3 , then

a₆ = 1 × [tex]3^{5}[/tex] = 243

243

Hope it helps.

Do comment if you have any query.

Answer:

This is how i arrived at an answer 25