(-8) + (-10) _(-12) =
16 - 24 + 10 =
79 - (-80) + (-15) =
(-5) (-15) (+9) =
(-650) ÷ (+65) + (10) =

Answer:

the coordinates of b is (9,7)  

the coordinates of a is (-4,-6)

Step-by-step explanation:

The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:

(x + 6)² + (y + 6)² = 72

Please note that the equation represents the circle with center (0,0) and radius √72.\(\)

Answer:

The equation of a circle with center (0,0) that passes through the point (-6,-6) is:

(x - 0)² + (y - 0)² = r²

where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:

r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72

Therefore, the equation of the circle is:

x² + y² = 72

Answer:

8+12= 2x

multiply all of them by power of 2

Step-by-step explanation:

so,

64+144 = 4x

208=4x

x = 52 what is the root of 52 the answer is

x = 7.188 or 3/16

Using the pattern, n can represent the the increase of dots according to step.

In the given question we have to find what values make sense for n in this situation.

n is representing the number.

As we can see that there is a pattern given.

In the step 1 have 1 dot, in step 2 have 3 dots, in step 3 have 6 dots and in step 4 have 10 dots.

So if we see the pattern then according to number of step the dots increasing accordingly.

As In step 1 have 1 dot, in step 2, 2 dots increase, in step 3, 3 dots increase and in step 4, 4 dots increase.

So, n can represent the the increase of dots according to step.

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Answer:

63

Step-by-step explanation:

\(15m^{2}\)

Hope this helps!! plz mark brainliest??

a) The value in four years is 2,207,626

b) The growth rate percent is 102.5 %

c) It would attain the value in 11 years.

We know that a function has to do with a mathematical rule that is used for the establishment of a fact. We have from the question that the function that models the car is; V = 2000000(1.025)^n

Let us recall that n has to do with the number of years.

a) In four years, the value of the car would be;

V = 2000000(1.025)^4

V = 2,207,626

b) The growth rate percent of the function can  be obtained as;

1.025 * 100 = 102.5 %

c) To obtain the year in which the value of the car would reach 2624173.32, we have;

2624173.32 = 2000000(1.025)^n

2624173.32/2000000 = (1.025)^n

1.312 = (1.025)^n

ln1.312 = n ln (1.025)

n = ln1.312 /ln (1.025)

n = 0.272/0.025

n = 11

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Answer:

b.  {-3, -1, 2}

Step-by-step explanation:

An ordered pair is a pair of elements written as (x, y) where the first element is the input value and the second element is the output value.

The domain is the set of input values (x-values)

The range is the set of output values (y-values)

Therefore, for the given ordered pairs (-1, 0), (2, 4) and (-3, 6)

Domain:  {-3, -1, 2}

Range:  {0, 4, 6}

We have shown that {Xn, n > 0) is a DTMC, assuming that the successive random drawings of the balls are independent by using the Memoryless property and Time-independent transition probabilities.

(1) Memoryless property:

Suppose we are at time n and know that Xn = i.

To determine the probability of moving to state j at time n+1, we only need to know the number of balls in urn A at time n and the number of balls that are drawn at time n+1.

The past history of the chain before time n is irrelevant. Therefore, the Markov chain has a memoryless property.

(2) Time-independent transition probabilities:

To calculate the transition probability from state i to state j, we need to consider the possible ways in which the number of balls in urn A can change from i to j. The transition probability from state i to state j is given by:

P(i,j) = P(Xn+1 = j | Xn = i) = P(Xn+1 = j | Xn = i, ball drawn from urn A) * P(ball drawn from urn A) + P(Xn+1 = j | Xn = i, ball drawn from urn B) * P(ball drawn from urn B)

= P(Xn+1 = j-1 | Xn = i, ball drawn from urn A) * (i/N) + P(Xn+1 = j+1 | Xn = i, ball drawn from urn B) * ((N-i)/N)

= (i-1)/(N-1) * (i/N) + (N-i-1)/(N-1) * ((N-i)/N)

= (i-1)(N-i)/N(N-1) + (N-i-1)i/N(N-1)

Therefore, the transition probability matrix is given by:

P = [P(i,j)] =

[(N-2)/N(N-1) 2/N(N-1) 0 0 ... 0]

[(N-3)/(N-1)(N-2) (N-1)/(N-1)(N-2) 2/N(N-2) 0 ... 0]

[0 (N-4)/(N-2)(N-3) (N-2)/(N-2)(N-3) 3/N(N-3) ... 0]

[0 0 (N-5)/(N-3)(N-4) (N-3)/(N-3)(N-4) ... 0]

[ ........................................... ]

[ 0 0 ... 0 2/N(N-1) (N-2)/N(N-1)]

Therefore, we have shown that {Xn, n > 0} is a DTMC with the transition probability matrix given by P.

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The length FE in the circle is 6 units

The arc AE has a measure of 64 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

Given that the lengths from the center to either chords are equal

This means that

FE = 6 units

For the other circle, we have

BC = 58 degrees

AB = ED

The arc AE is calculated as

AE = 180 - BC - ED

Where

AB = ED = BC = 58 degrees

So, we have

AE = 180 - 58 - 58

Evaluate

AE = 64

Hence, the arc AE is 64 degrees

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Answer:

  BE

Step-by-step explanation:

A line and a plane will not intersect if they are parallel. A line is named by naming any two points on it, in any order.

The line containing points B, E, F appears to be parallel to plane L. As such, it will remain at the same distance from plane L throughout its infinite length. The line can be named by 2 points in any of 6 different ways.

Line BE is parallel to plane L.

__

Additional comment

Other names for the same line include ...

  BF, EF, EB, FB, FE.

The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4 is (x - 4)^2 - 20.\) Option A

The vertex form of a quadratic function is given by\(f(x) = a(x - h)^2 + k\) where (h, k) represents the coordinates of the vertex.

In the given quadratic function \(f(x) = x^2 - 8x - 4\), we can rewrite it in the vertex form by completing the square:

\(f(x) = (x - 4)^2 - 16 - 4\\f(x) = (x - 4)^2 - 20\)

From this expression, we can see that the vertex of the quadratic function is at the point (4, -20).

The term\((x - 4)^2\) tells us that the vertex is at x = 4, and the constant term -20 indicates the y-coordinate of the vertex.

The expression that best reveals the maximum and minimum of the function\(f(x) = x^2 - 8x - 4\) is  \((x - 4)^2 - 20.\)

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The values of the expressions are;

z³³

d⁻¹⁶

Note that index forms are described as forms used in the representation of numbers or variables too large or small.

Some rules of index forms are;

Then, from the information given, we have that;

(z⁻⁴/z⁶  × z⁵/z⁻⁶)⁻¹¹

Subtract the exponents, we have;

(z⁻² × z⁻¹)⁻¹¹

expand the bracket

z²² ⁺ ¹¹

z³³

(d⁴)⁻³/(d⁶)⁻²  ÷  (d⁴/d⁶)⁻⁸

expand the brackets

d⁻¹²/d¹²  ÷    (d⁻²)⁻⁸

subtract the exponents

d⁰  ÷  d¹⁶

d⁻¹⁶

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The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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Answer:

105-30-45-3028+10000000000000038492= 1.000000000000003e19

Step-by-step explanation:

I did the math

have a good day!!

Answer:

x - 2y + 1 = 0

Step-by-step explanation:

This line goes through the points (-3, -1) and (3, 2).  Going from the first oint to the second, we see that x increases by 6 (this is the 'run') and y increases by 3 (this is the 'rise').  Thus, the slope is m = rise / run = 3/6 = 1/2.

Starting with the slope-intercept form y = mx + b, we get

y = 2 = (1/2)(3) + b, or (after multiplying all terms by 2):

      4 = 3 + 2b, or 1 = 2b, or b = 1/2

Then the equation of this line is y = mx + b, or y = (1/2)x + 1/2.

We must put this into standard form.  Multiplying all terms by 2 yields

2y = x + 1, or x - 2y + 1 = 0

Answer:

x^2_5+6

=-4^2-5+6

=+16-5+6

=+11+6

=17

Step-by-step explanation:

then the answer is 17

I hope it helps you c:

Step-by-step explanation:

If x= -4, find the value of x²-5x+6=(-4)²-5×-4+6

=16+20+6=42

Answer:

\(\large\fbox{\textsf{No Solution.}}\)

Step-by-step explanation:

\(\textsf{We are asked if there is a solution in the given equation.}\)

\(\textsf{Note that a solution is possible if both expressions \underline{actually} equal each other.}\)

\(\textsf{We should simplify the equation to find this out.}\)

\(\large\underline{\textsf{Solving;}}\)

\(\tt 2(x-7)=2x-10\)

\(\textsf{We can use the Distributive Property on the left side. 2 will multiply with the terms}\)

\(\textsf{inside the Parentheses.}\)

\(\tt (2 \times x)+(2 \times -7)=2x-10\)

\(\tt 2x-14 \neq 2x-10\)

\(\textsf{Because the expressions don't equal each other, no solution is possible.}\)

\(\textsf{No matter what the value of x is, the equation will remain impossible.}\)

\(\huge\text{Hey there!}\)

\(\large\text{ORIGINAL equation:}\)
\(\mathtt{2(x - 7) = 2x - 10}\)

\(\large\text{DISTRIBUTE 2 WITHIN the PARENTHESES:}\)

\(\mathtt{2(x) + 2(-7) = 2x - 10}\)

\(\mathtt{2x - 14 = 2x - 10}\)

\(\large\text{SUBTRACT 2x to BOTH SIDES of the equation:}\)

\(\mathtt{2x - 14 - 2x= 2x - 10 - 2x}\)

\(\large\text{SIMPLIFY IT!}\)

\(\mathtt{-14 = -10}\)

\(\large\text{ADD 14 to BOTH SIDES of the equation:}}\)

\(\mathtt{-14 + 14 =-10 + 14}\)

\(\large\text{SIMPLIFY IT!}\)

\(\mathtt{0 = 4}\)

\(\large\text{Thus this means that:}\)

\(\mathtt{You\ have\ NO\ solutions\ to\ this\ equation}\)

\(\huge\text{Therefore your answer should be:}\)

\(\huge\boxed{\mathtt{NO \ SOLUTION}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The area of the triangle with the given vertices is 11.5 square units.

The area of a triangle can be calculated using the coordinates of its vertices using the following formula.

To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:

A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2

Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:

A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2

A = (0 - 4 + 27)/2

A = 23/2

A = 11.5

Therefore, the area of the triangle with the given vertices is 11.5 square units.

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Answer:

The value of x is 5

The length of YZ is 5 units

Step-by-step explanation:

If a point lies on a line segment, then it divides it into 2 parts, the sum of their length equals the length of the line segment

Let us use this fact to solve the question

∵ Point Y is between points X and Z

→ By using the fact above

∴ XY + YZ = XZ

∵ XY = 4x and XZ = x

∵ XZ = 25

→ Substitute then in the equation above

∴ 4x + x = 25

→ Add the like terms in the left side

∴ 5x = 25

→ Divide both sides by 5 to find x

∵ \(\frac{5x}{5}\) = \(\frac{25}{5}\)

∴ x = 5

∴ The value of x is 5

∵ YZ = x

∵ x = 5

∴ YZ = 5

∴ The length of YZ is 5 units

The equation of the conic represents a circle with an area of 36π square units.

In this problem we find the equation of the conic in general form, on which we need to determine what kind of conic it represents. This can be done by finding the standard form of the equation by means of algebra properties, using a strategy known as completing the square. The quadratic equation in general form is described by the quadratic equations of the form:

A · x² + B · y² + C · x + D · y + E · x · y + F = 0

Now we proceed to find the standard form of the equation. First, write the equation in standard form:

x² + y² - 3 · x + 6 · y = 7 · x + 2

x² + y² - 10 · x + 6 · y - 2 = 0

Second, complete the square:

(x² - 10 · x + 25) + (y² + 6 · y + 9) = 2 + 25 + 9

(x - 5)² + (y + 3)² = 36

The standard form of the quadratic equation indicates the equation of a circle with a diameter of 12 units and a center at (h, k) = (5, - 3). The area of the circle is calculated below:

A = 0.25π · D²

Where D is the diameter of the circle, in units.

A = 0.25π · 12²

A = 36π

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Step-by-step explanation:

We can tell that x + 4 has the value of 17 by visualization.

\(\boxed{ \: \: \: \: \: \: x \: \: \: \: \: \: }\boxed{4}\)

x is larger in length, we can identify that x has the value of 13 when 17 and 4 subtract.

Using the vertical line test we can see that this is not a function.

When we have a graph of a relation, one thing we can do to check if this is a function is do the vertical line test.

If you can draw a vertical line that intercepts the graph more than once, then it is not a function.

Here we can see a circle, multiple lines intercept the graph twice,so this is not a function.

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So, after 320 minutes, the car will have covered 200 miles.

In both the US customary and British imperial systems of measurement, a mile is a unit of length or distance. It is measured in yards or 5,280 feet. Approximately 1.609 km make up one mile.

A method of measurement known as the imperial system was created in England in the 12th century and afterwards adopted by other nations. It is often referred to as the Imperial Units or the British Imperial System. The system comprises units for weight, such as ounces, pounds, and tons, volume, and length (such as inches, feet, and miles). (such as fluid ounces, pints, quarts, and gallons). Despite the fact that many other nations have switched to the metric system, the imperial system is still in use in some nations, including the United States and the United Kingdom.

The autonomous vehicle covers **0.625 miles per minute**. (50 miles in 80 minutes).

After 320 minutes, we may multiply the rate by the time to get how many miles the car will have travelled:

0.625 miles/minute × 320 minutes = **200 miles**

0.625 miles per minute divided by 320 minutes equals 200 miles.

So, after 320 minutes, the car will have covered **200 miles**.

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Answer:

2^4 x 2^6 = 1024

Step-by-step explanation:

2^4 means 2 x 2 x 2 x 2

2^6 means 2 x 2 x 2 x 2 x 2 x 2

So, combine them:

2^4 x 2^6 = 1024

Answer:

The answer is the 3rd one, not equivalent. 8x+4y=4(2x+y)

Answer: so yea its the first one. im not that sure im just like saying what I know

Step-by-step explanation:

Answer:

  D

Step-by-step explanation:

You want to know a procedure to show that sides satisfying the Pythagorean relation will form a right triangle.

The converse of the Pythagorean theorem tells you that side lengths satisfying the relation a² +b² = c² will form a right triangle. In order to show this, we must first have three lengths that satisfy this relation. (Eliminates choices A and C.)

The right angle in a right triangle is the largest angle, so must be opposite the longest side. (Eliminates choice B.)

The only useful procedure for the desired demonstration is that of choice D.

__

Additional comment

The second attachment shows that a side of length 12 is too long for the third side of a triangle with sides 5 and 9 that have a right angle between them. (reference choice A)