Determine the center and radius of the following circle equation:
X2+ y2 – 10x + 16y + 25 = 0
Help ASAP pls!!!

Answer:

The coordinates of the turning point will be:

The graph is also attached.

Step-by-step explanation:

Given the expression

[tex]y=\frac{1}{2}\left(x+10\right)^2-6[/tex]

simplifying

[tex]y=\frac{x^2}{2}+10x+44[/tex]

We know that the quadratic equation generally represents Parabola. We know that a turning point of the parabola of the quadratic equation depends upon the direction of the Parabola and the value of the leading coefficient.

The point, where the parabola tends to change the direction, is called the 'vertex'.

In other words, the vertex of the quadratic Parabola represents the turning point of the quadratic function.

Given the expression

[tex]y=\frac{x^2}{2}+10x+44[/tex]

Parabola params are:

a = 1/2, b = 10, c = 44

As the leading coefficient = 1/2 which is less than 1, thus it represents the up-down facing Parabola.

Thus, the x-coordinate of the vertex:

x = -b/2a

[tex]x\:=\:-\frac{10}{2\left(\frac{1}{2}\right)}[/tex]

[tex]x=-\frac{10}{1}[/tex]

[tex]x=-10[/tex]

putting x = -10 in the original equation

[tex]y=\frac{1}{2}\left(x+10\right)^2-6[/tex]

[tex]y=\frac{1}{2}\left(-10+10\right)^2-6[/tex]

[tex]y=0-6[/tex]

[tex]y=-6[/tex]

Therefore, the coordinates of the turning point will be:

The graph is also attached.

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

[tex]\frac{11-8}{6-4} \\\frac{3}{2}[/tex]

3/2 is the slope

Answer:

78

Step-by-step explanation:If im wrong sorry

Answer:

neither positive nor negative

Step-by-step explanation:

Answer:

0-1-2-3-4-5-6-7-8-9...

Step-by-step explanation:

zero is the first number in positives and negatives

Answer: D, h = -2

Step-by-step explanation:

This is a horizontal shift, the general case is:

If you have a function f(x), the function g(x) = f(x - A) wil move the graph of f(x) A units to the right (Where A is a positive number).

And h(x) = f(x + A) will move the graph A units to the left.

in this case, we have:

g(x) = f(x - h) = 1/(x - h)

Then to find the value of h, we need to count how many units the graph of f(x) has been moved.

We can see that the asympthotes are at x = -2, and those would be at x = 0 for f(x) = 1/x.

Then we have a horizontal shift of 2 units to the left.

This means that

g(x) = f(x + 2)

Then we must have that h = -2.

The correct option is D

Answer:

-2

Step-by-step explanation:

Answer:

A zero function is a function that is almost everywhere zero.

Step-by-step explanation:

Answer:

4,14,15,16,17,30

Step-by-step explanation:

sum of two sides  > third side

Difference of two sides < third side

17+14=31> third side

17-14=3 < third side

3<third side <31

14,17,4,30,15,16

Answer:

eight and ninety-seven hundredths

Step-by-step explanation:

because big brains

Answer:

When the outcome variable is a nominal variable, the appropriate method to compare multiple groups is:________.

the Chi-Square Statistic.

Step-by-step explanation:

A nominal or categorical variable is a variable that has two or more categories, without any intrinsic ordering to the categories. For example, genotype, blood type, zip code, gender, race, eye color, political party produce categorical variables.  And the Chi-Square statistic can be used to test the differences between the observed data and what would be expected if there was truly no relationship between the categorical or nominal variables.

Answer:

The answer was 4

Step-by-step explanation:

Answer:

50 grams per egg is the constant of proportionality.

Step-by-step explanation:

A constant of proportionality is when two variables have a constant ratio in their relationship, typically exhibiting a linear relationship.

The equation for the constant of proportionality can be written as y = kx, where k is your quantitative constant.

Let's plug in these values into our equation:

Y = 300 (we are given that)

X = 6 (we are given that)

K = ? (we are not given that)

So now, we have 300 = k(6).

We now want to solve for k.

To isolate the k variable, we must divide both sides of the equation by 6

This gives us: [tex]\frac{300}{6} = k[/tex]

300 divided by 6 = 50.

Therefore, our constant of proportionality is 50, meaning that the weight of each additional egg is 50 grams. In context, this means that if one egg were to be added, the weight of the total eggs would increase by 50 grams per egg. Hope this helped!

Hello!

[tex]\large\boxed{5, -8}[/tex]

5x + 2y = 9

4x - 3y = 44

We can eliminate y by multiplying both expressions in order to have the y coefficients equal.

The LCM (least common multiple) of 2 and 3 is 6, so we can multiply each accordingly:

3(5x + 2y = 9)

2(4x - 3y = 44)

Distribute:

15x + 6y = 27

8x - 6y = 88

Cancel using addition:

15x + 6y = 27

8x - 6y = 88

------------------

23x = 115

Divide:

x = 5.

Plug in this value of x into an equation to solve for y:

5(5) + 2y = 9

25 + 2y = 9

2y = -16

y = -8

The solution of the system is:

(5, -8).

Answer:

SAS

Step-by-step explanation:

Answer:

- 18

Step-by-step explanation:

Step 1:

2x + 4y - 10        Equation

Step 2:

2 ( 2 ) + 4 ( - 3 ) - 10       Input x and y values

Step 3:

4 - 12 - 10         Multiply

Answer:

- 18         Combine Like Terms

Hope This Helps :)

Answer: -18

Order of Operations:

Equation: 2x + 4y - 10

Include x and y:

2 x 2 + 4 - (-3) - 10

Multiply the numbers:

4 - 12 - 10

Combine like terms.

You get -18

Answer:

Even tho it's not Christmas yet Merry Christmas

Step-by-step explanation:

Answer:

Greatest Common Factor of 27 and 45. Greatest common factor (GCF) of 27 and 45 is 9.

Step-by-step explanation:

We will now calculate the prime factors of 27 and 45, than find the greatest common factor (greatest common divisor (gcd))of the numbers by matching the biggest common factor of 27 and 45.

The greatest common factor of 27 and 45 is 9. It represents the largest number that can divide both 27 and 45 without leaving a remainder.

To find the greatest common factor (GCF) of 27 and 45, we can use several methods such as prime factorization, listing factors, or using the Euclidean algorithm. Here, I'll demonstrate using the prime factorization method:

Step 1: Prime factorize the numbers:

27 = 3 * 3 * 3

45 = 3 * 3 * 5

Step 2: Identify the common prime factors:

Both 27 and 45 have two 3's as common prime factors.

Step 3: Multiply the common prime factors:

GCF = 3 * 3 = 9

Therefore, the greatest common factor of 27 and 45 is 9. It represents the largest number that can divide both 27 and 45 without leaving a remainder.

To learn more about greatest common factor link is here

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Answer:

14 Semesters Per Credit

Step-by-step explanation:

The rate at which she is earning credits is 14 credits per semester.

What is an expression?

Expression in mathematic is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Here in this question it is given that a college student had 15 credits already when she started her college and at the end of 4 semesters she had 71 credits which means she earned in total 71 - 15 = 56 credits. And the credits she earned is divided equally into all the 4 semesters, Now the rate at which she is earning credits is :

total credits earned by her divided by number of semesters = 56/4 = 14 credits.

Therefore, the rate at which she is earning credits is 14 credits per semester.

Read more about division identity at:

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Answer:

12% of 60, 400% of 18, 55% of 220

Step-by-step explanation:

12% of 60 =7.2

55% of 220 = 121

400% of 18 = 72

7.2, 72, 121

Answer:

1: >

2: >

3: =

4: >

5: -2 3/4, -2.2, 3 1/8, 2.8

6: -.6, 4/5, .65, 2/3

Step-by-step explanation:

Answer:

there is no solution because 9 is the only number between 8 and 10 . if you are wondering that there could be a demical too but let me clear that in inequality there is no demical nymber3. thank you hope it could help

Answer:

5/6

Step-by-step explanation:

5/10 + 2/6

First find the common denominator by multiplying 5/10 by 3/3

5/10*3/3=15/30

Then to get to that same denominator multiply 2/6 by 5/5

2/6*5/5=10/30

Answer:

15/30+10/30= 25/30

Then divide 25/30 by 5/5

25/30 / 5/5 = 5/6

Answer:

Area of the triangle is 10 square units

Step-by-step explanation:

Recall that the formula for the area of a triangle is: "base x height / 2", and  in this case, we can consider the triangle's base as the segment that joins the vertices (5, 4) and (5, 8) which gives a segment length of 4 units. The height of the triangle is then the distance between the third vertex (0,7) and the base, which is exactly 5 units. Then the area becomes:

Area = 4 x 5 / 2 = 10 square units.

Answer:

the answer is 78.12

Step-by-step explanation:

Answer: 78.12

Step-by-step explanation:

8.4 x 9.3 =

4 x 3 = 12, bring the ones to the tens place

8 x 3 = 24 + 1 = 25

252.

Add a 0 to the ones place.

9 x  4 = 36, add a 6 to the tens place, bring the tens to the hundreds place

9 x 8 = 72 + 3 = 75.

7560 + 252 = 7812.

Since there are two numbers behind the decimal, we put the decimal between the 8 and the 1.

8.4 x 9.3 = 78.12

Answer:  I belive it is 360 inches cubed. I could be wrong

Step-by-step explanation:

Answer:

(2.5, -3.25)

Step-by-step explanation:

In relictions, only one value in the coordinate changes, either the x or y value depending on the type of reflection

First, reflect the coordinate over the x-axis.

Reflections across the x-axis is basically folding the graph across the x-axis. If you fold the graph across the x-axis, you notice that only the y-value is changing to be the opposite sign.

Basically in a reflection of the x-axis, the coordinates (x, y) change to (x, -y)

Therefore, (-2.5, -(3.25)) turns into (-2.5, -3.25)

Next, reflect the coordinate (-2.5, -3.25) across the y-axis. Similarly as above, reflections across the y-axis is like folding the graph on its y-axis. If you do so, you notice that only the x-value changes while the y-values stays the same.

Therefore (x,y) turns into (-x, y)

So, (-2.5, -3.25) = (-(-2.5), -3.25) = (2.5, -3.25)

Answer:

[tex](2.5 , -3.25)[/tex]

When you do a reflection, the negative values turn positive and the positive values turn negative.

Currently in the graph, the ordered pair is (-2.5, 3.25).

So, we will flip the two around.

Now, we will put them into an ordered pair again.

Our new ordered pair will be (2.5, -3.25)

Best of Luck!

Answer:

[tex]XY = \frac{4\sqrt 3}{3}[/tex]

Step-by-step explanation:

The question is illustrated with the attached figure.

Required

Determine XY

To solve for XY, we make use of the tan function, which states that:

[tex]tan\theta = \frac{Opposite}{Hypotenuse}[/tex]

In this case:

[tex]tan\ 60= \frac{YZ}{XY}[/tex]

Substitute 4 for YZ

[tex]tan\ 60= \frac{4}{XY}[/tex]

Make XY the subject

[tex]XY= \frac{4}{tan\ 60}[/tex]

[tex]tan\ 60 =\sqrt 3[/tex]

So, the expression becomes:

[tex]XY = \frac{4}{\sqrt 3}[/tex]

Rationalize:

[tex]XY = \frac{4 * \sqrt 3}{\sqrt 3 * \sqrt 3}[/tex]

[tex]XY = \frac{4\sqrt 3}{3}[/tex]

the length of side XY is 4 √3.

In a right triangle XYZ with angle Y as the right angle and angle X measuring 60 degrees, we can use trigonometry to find the length of side XY.

Since we know angle X is 60 degrees, we can conclude that angle Z measures 180 - 90 - 60 = 30 degrees.

Using the trigonometric ratio for a right triangle, specifically the tangent function, we have:

tan(60 degrees) = XY / YZ

tan(60 degrees) = XY / 4

By substituting the value of the tan of 60 degrees (which is √3), we have:

√3 = XY / 4

Cross-multiplying, we find:

XY = (√3) * 4

XY = 4 √3

Therefore, the length of side XY is 4 √3.

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