Solve the following quadratic equation: x^2-10x+25=51

please show steps i don’t understand

Answers

Answer 1

1. Simplify the quadratic equation into its standard form

Formula : ax^2+bx+c=0

Subtract  from both sides:

x^2-10x+25=51

x^2-10x+25-51=0

x^2-10x-26=0

Use the standard form,  ax^2+bx+c=0, to find the coefficients of our equation.

x^2-10x-26=0

a=1

b=-10

c=-26

The quadratic formula gives us the roots for ax^2+bx+c=0, in which a, b and c are numbers (or coefficients), as follows :

x=(-b±sqrt(b^2-4ac))/(2a)

to get the result :

x=(10±sqrt(204))/2

Simplify 204  by finding its prime factors:

The prime factorization of 204 is 2^2*3*17

x_2=-2.141

Answer 2

Answer:

x = 5 ± √51

Step-by-step explanation:

x² - 10x + 25 = 51

x² - 10x + 25 - 51 = 51 - 51

x² - 10x - 26 = 0

Factors with a product of -26 and a sum of -10:

NONE! Solve by completing the square (see attachment)

Step 1: Rearrange

x² - 10x + 25 = 51

x² - 10x = 26

Step 2: Add (b/2)² to both sides

x² - 10x + (-10/2)² = 26 + (-10/2)²

x² - 10x + 25 = 51

Step 3: Factor and solve

(x - 5)² = 51

x - 5 = √51

x = 5 ± √51

BRAINLIEST please if this helped!
Solve The Following Quadratic Equation: X^2-10x+25=51please Show Steps I Dont Understand

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Eugenia rolls a six-sided number cube. What is the probability that she gets a number less than 5?

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Eugena rules is excited number Q what is the probability that she gets a number of us than five
Answer:5/6


17. Biologists have noticed that the chirping rate of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 113 chirps per minute at [tex]70^{\circ} \mathrm{F}[/tex] and 173 chirps per minute at [tex]80^{\circ} \mathrm{F}[/tex] .
(a) Find a linear equation that models the temperature [tex]T[/tex] as a function of the number of chirps per minute [tex]$N$.[/tex]

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Answer:

1435

Step-by-step explanation:

makatulong ba itong anser ko

A quadrilateral with four congruent sides that is not regular pls help I need the shape to fit the description

Answers

If a quadrilateral with four congruent sides is not regular. Then the quadrilateral will be a rhombus.

What is a rhombus?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rhombus, opposite sides are parallel and all sides are equal and each angle is not 90 degrees.

A quadrilateral with four congruent sides is not regular.

If the sides of the quadrilateral are congruent then the quadrilateral must be either square or rhombus.

But if the sides are not regular then it must be a rhombus.

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How many x intercepts does the polynomial function y=(x-8)(x+3)^2

Answers

Answer:

The answer is 2 x-intercepts

Step-by-step explanation:

To determine the x-intercepts we set y to zero and solve for x:

y=0

(x-8)(x+3)^2=0

The product of 2 factors is 0 means that one of them must be 0:

x-8=0 ⇒ x=8        →first x-intercept

or (x+3)^2=0 ⇒ x+3=0 ⇒ x=-3         →second x-intercept

Therefore the polynomial function two roots, so it has two x-intercepts x=8 and x=-3

Hope this helps :)

Computer monitor measurements are typically classified by the diagonal length of the viewable area. What is the measurement of a monitor that has a rectangular viewable area of 16 inches by 12 inches? Round your answer to the nearest tenth if necessary

Answers

Answer:

~Senpi boi here~

Step-by-step explanation:

I belive this is your exlpained answer for this qestion, As figure given in the question. Hers it is step by step:

Hypotenuse = 16 in

Base = 9 in

Putting the values in the formula

Hypotenuse² = Perpendicular² + Base²

16² = 9² + Base²

324 - 81 = Base²

243 = Base²

Base = 13.59 in (Approx)

Therefore the length of the base of the moniter be 15.59 in .

Answer: THIS IS THE CORRECT ANSWER

20"

Step-by-step explanation:

Length = 16" = L

Width = 12" = W

Diagonal   =  [tex]\sqrt{L^{2}+W^{2} }[/tex]

= [tex]\sqrt{16^{2}+12^{2} } = \sqrt{256+144\\\\[/tex]

=  [tex]\sqrt{400} = 20"[/tex]

Which of the following demonstrates how the 70 is calculated using the
combination pattern?

Answers

The correct answer is A.

In this survey, 77 people prefer basketball. In a survey done a couple months later, only 70
people prefered basketball. What was the percent decrease in the number of people who
prefer basketball?
URGENT PLEASE HELP

Answers

Answer:

Minus 9.09090909% decrease

Complete the equation for ⊙A.

A 2-dimensional graph with an x-axis and a y-axis is given. A circle is passing through the co-ordinates (-4,1), (-1,-2), (-4, -5) and (-7,-2) respectively. A point A which is the mid-point of the circle has co-ordinates (-4,-2).

Answers

The general equation of a circle is (x-h)²+(y-k)² = r². The equation of circle A is (x+4)²+(y+2)²=9.

What is the equation of a circle?

The general equation of a circle is given as,

(x-h)²+(y-k)² = r²

Where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle,

Given that the four points that lie on the circle are  (-4,1), (-1,-2), (-4, -5) and (-7,-2), and also the centre of the circle is at (-4,-2). Therefore, the radius of the circle will be the distance between the centre of the circle and any point lying on the circle.

[tex]\rm \text{Radius of the circle} = \sqrt{[(-4)-(-4)]^2+[(-2)-(1)]^2}\\\\\text{Radius of the circle} = \sqrt{(0)^2+(-3)^2}\\\\\text{Radius of the circle} = 3\ units[/tex]

Since the coordinate of the centre point of the circle is (-4,-2), while the radius of the circle is 3 units, therefore, the equation of the circle can be written as,

[tex][x-(-4)]^2+[y-(-2)]^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 9[/tex]

Hence, the equation of circle A is (x+4)²+(y+2)²=9.

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A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 32 had a mild allergic reaction. What percent of the people had a mild allergic reaction?

Answers

32 out of the 8000. Your answer is 0.4%

i need a A pls helppp

Answers

Answer:

option B is correct.

Option A                                                 Option B                                                    

6x = 66                                                    5x = 30  

x = 66/6                                                    x = 30/5

x = 11                                                         x = 6

Option C                                                 Option D

6x = 1                                                       7x + 2 = 15

x = 1/6                                                      7x = 15 - 2

x = [tex]\sf \sf \frac{1}{6}[/tex]                                                          x = [tex]\sf \frac{13}{7}[/tex]

9. An airline food service finds that a recent flight of 120 passengers ordered dinner as depicted in the table below. Based on this data, how many lasagna dinners are likely to be needed for a flight with 380 passengers?
Dinner Frequency

Chicken 63
Fish 30
Lasagna 25
Vegetarian 2

A. 80 B. 85 C. 206 D. 301​

Answers

Answer:

80

Step-by-step explanation:

25/120 ( since you are trying to find probability of a situation)=.2083

.2083*380=79.167 (just round it off to the nearest 1 which is 80).

Coordinates of an endpoint of a line plotted on the coordinate plane are (6, -2). The length of the line is 4 units. Select the coordinates that could be the other end point of the line? (select all that are true) Coordinates of an endpoint of a line plotted on the coordinate plane are (6, -2). The length of the line is 4 units. Select the coordinates that could be the other end point of the line? (select all that are true) (6, 2) (6, 6) (10, -2) (2, -2) (6, -6) (-2, -2) (-10, -2)

Answers

The possible coordinates that could be the other endpoints of a line that has a length of 4 units are: (6, 2),  (10, -2), (2, -2), and (6, -6).

What is the Distance Between Two Points?

On a coordinate plane, the distance between two points is the number of units in between the two points lying on the same axis.

Let's find the distance between (6, -2) and eaxh of the given endpoints tro know which gives us a length of 4 units.

(6, -2) and (6, 2) = |-2 - 2| = 4 units

(6, -2) and (6, 6) = |-2 - 6| = 8 units

(6, -2) and (10, -2) = |10 - 6| = 4 units

(6, -2) and (2, -2) = |6 - 2| = 4 units

(6, -2) and (6, -6) = |-2 - (-6)| = 4 units

(6, -2) and (-2, -2) = |6 - (-2)| = 8 units

(6, -2) and (-10, -2) = |6 - (-10)| = 16 units

Therefore, the possible coordinates of the other endpoint of the line are: (6, 2),  (10, -2), (2, -2), and (6, -6).

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write the equation of a line in slope interest form that passes through (16,0) and (17,12)

Answers

Answer:

y=12x - 192

Step-by-step explanation:

Hi there!

We are given the points (16,0) and (17, 12)

We want to write the equation of the line that contains these points in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope

The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have 2 points, which is what we need to find the slope, but let's label their values to help avoid confusion and mistakes

[tex]x_1=16\\y_1=0\\x_2=17\\y_2=12[/tex]

Now let's plug these values into the formula to find the slope

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{12-0}{17-16}[/tex]

Subtract

m=[tex]\frac{12}{1}[/tex]

Divide

m = 12

The slope of the line is 12.

Let's substitute that as m in y=mx+b.

Here is our equation so far:

y=12x + b

Now we need to find b

As the equation passes through the points (16,0) and (17, 12), we can use either one of them to solve for b.
Using (16,0) for example:

Substitute 16 as x and 0 as y.

0 = 12(16) + b

Multiply

0 = 192 + b

Subtract 192 from both sides

-192 = b

Substitute -192 as b in the equation

y = 12x - 192

Hope this helps!


Topic: finding the equation of the line

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Can anyone help me with this math problem?

Answers

[tex]\bold{FULL ANSWERS:}[/tex]

In 1993, Moose Population: 3280

In 1999, population became: 4960

P (Population) , t (years)

t = 6 —> 4960 - 3280 = 1680

Average Change —> 1680/6 = 280 moose/year

• In terms of 1990:

t = 3 —> 3280-3 (280)

P(1990) = 2440

P(t) = 2440 + 280t

• In 2003; t = 13

P(13) = 2440 + 280 (13)
P(13) = 2440 + 3640
P(13) = 6080

• Moose population in 2003

= 6080





I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

sin45°=x/16

or, 1/√2 = x/16

or, x=16/√2

or, x=8√2 or 11.31 #

How would I solve I need to know Asap and what is the answer

Answers

Answer:

Yes the two figures are congruent. They are the same size and shape they just translated it down the coordinate plane.

Step-by-step explanation:

The diameter of the cone is 6 inches. It’s height is 4 inches. What is its slant height?

Answers

Answer:

5 inches

Step-by-step explanation:

As the height is perpendicular to the base, the radius and the height form a right angle, creating a right triangle where the slant height is the hypotenuse, thus:

[tex](height)^2+(radius)^2=(slant\:height)^2[/tex]

[tex]4^2+(6/2)^2=(slant\:height)^2[/tex]

[tex]16+9=(slant\:height)^2[/tex]

[tex]25=(slant\: height)^2[/tex]

[tex]5=slant\: height[/tex]

In conclusion, the slant height of the cone is 5 inches. See below for a visual.

What is the compliment of an angle that measures 2x degrees?

Answers

Answer:

(90 - 2x)°

Step-by-step explanation:

complimentary angles sum to 90° , then

the compliment of 2x° is (90 - 2x)°

Answer:

(90 - 2x)°

Step-by-step explanation:

We say that two angles are complementary if their measures add up to 90°

The  complement of an angle that measures 2x is the angle of measure

(90 - 2x)°

because 2x + (90-2x) = 90

1) How many students were all involved in the survey? A) 30 B) 40 C) 50 3) What is the size of the class interval?​

Answers

Answer:

not enough information was provided

Step-by-step explanation:

However, The answer is B

300 seats in a cinema, 60% are filled, how many seats are left?

Answers

Answer:

120 are left

Step-by-step explanation:

to get how many seats that are left you will multiply grand total of all the seats times percent filled over 100. see below

300 × 60/100

=3 × 60

=120 seats that are left

please vote brainliest and follow me

i dont understand this

Answers

the answer is C. both lines have M, which means M is the middle of the phrase and corner of the angle

Find the value of X that makes S || T (7x-20)° and (4x +16)°

Answers

Answer:

88189987766.9087 because x stands for 1000

A soda can had a diameter of 6 cm . What is the circumference of the can?

Answers

Hello, if the diameter is 6cm, the circumference would be 18.84cm - hope this helps!

A number cube that has sides numbered 1 through 6 is rolled 180 times.

Answer: How many times would you expect the result to be a number greater than 2.

Answers

About 120 times because 4 out of 6 times the dice would be a 2 or higher

Your apartment's monthly rent was $300 last year. This year it is $350.
What is the rate of inflation, to the nearest tenth of a percent?
O 50.0%
O 16.7%
0 15.4%
O 14.3%

Answers

well, if it was 300 and now is 350, it went up by 50 bucks, that's the inflation amount.

if we take 300 to be the 100%, what is 50 bucks off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 300 & 100\\ 50& x \end{array} \implies \cfrac{300}{50}=\cfrac{100}{x}\implies 6=\cfrac{100}{x} \\\\\\ 6x=100\implies x=\cfrac{100}{6}\implies x=\cfrac{50}{3}\implies x\approx 16.7[/tex]

please answer this question​

Answers

Differentiate x and y with respect to t :

[tex]x = e^{\sec(2t)} \implies \dfrac{dx}{dt} = e^{\sec(2t)} \dfrac{d(\sec(2t))}{dx} = 2\sec(2t)\tan(2t) e^{\sec(2t)}[/tex]

[tex]y = e^{\tan(2t)} \implies \dfrac{dy}{dt} = e^{\tan(2t)} \dfrac{d(\tan(2t))}{dx} = 2\sec^2(2t) e^{\tan(2t)}[/tex]

By the chain rule,

[tex]\dfrac{dy}{dx} = \dfrac{dy}{dt} \times \dfrac{dt}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]

Then

[tex]\dfrac{dy}{dx} = \dfrac{2\sec^2(2t) e^{\tan(2t)}}{2\sec(2t)\tan(2t) e^{\sec(2t)}} = \dfrac{\sec(2t) e^{\tan(2t)}}{\tan(2t) e^{\sec(2t)}} =\dfrac{y \sec(2t)}{x\tan(2t)}[/tex]

and we have

[tex]\log(x) = \sec(2t)[/tex]

[tex]\log(y) = \tan(2t)[/tex]

and the claim follows.

What is the surface area of the square pyramid?

Answers

Answer:

SA = 16 units^2

Step-by-step explanation:

B - base

H - height

SA - surface area

B = 2

H = 3

SA = (B × B) + 4((1/2)×(B × H))

SA = (2×2) + 4((1/2)×(2×3))

SA = 16 units^2

you want to arrange 5 of your favorite CDS along a shelf. How many different ways can you arrange the CDS assuming that the order of the CDS makes a difference to you?

Answers

You can arrange them in 120 different ways

The easiest way to do this is using factorials!

We are given 5 CDs


We are able to the factorial of 5

It would look like this 5!

5! = 5x4x3x2x1

This equals 120

I know its not hard at all im just to lazy to do it

Answers

Answe i

Can't see the picture

Step-by-step explanation:

What is the image of (-12, 6) after a dilation by a scale factor of 1/2 centered at the origin?

Answers

Answer: (0,3)

Step-by-step explanation:

(x,y) -> (1/2x , 1/2y)

(0,6) -> (1/2 • 0, 1/2 • 6)

=(0,3)

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i hope this helps, brainliest please <3

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