What is the distance between the points (12 , -16) and (-10 , -16) in the coordinate plane?

±1/2, ±1, ±7 are the possible rational roots of the polynomial function.

The rational root theorem, also known as the rational root test, is an algebraic theorem that states that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, both the constant term (the term without a variable) and the leading coefficient (the coefficient of the highest power) must be divisible by the fraction's denominator.

An anXn+ an− 1xn − 1 + … + a1x1 + a0 = 0  is a polynomial equation in one variable (x), where a0, a1,..., and an are regular integers. Therefore, q must divide a and p must divide a0 for a polynomial equation to have a rational solution, p/q.

It is given in the question,

F(x)=2x^2-3x+7

Here, p is a 7-fold factor.

p, thus, might have a value of 1, -1, 7, or -7.

and q is a two-fold factor.

Thus, q might have a value of 1, -1, 2, or -2.

Hence, ±1/2, ±1, ±7 are the possible rational roots of the polynomial function.

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Answer:32

Step-by-step explanation:

The slope is m = RISE / RUN, and the change in y is frequently referred to as "RISE."

[tex]5*x-6*y-(42)=0[/tex]

Tiger understands that this is a straight line equation. Typically, this equation is expressed as y=mx+b (or "y=mx+c" in the UK).

A straight line drawn using the Cartesian coordinate system has the formula "y=mx+b," where "y" denotes the vertical axis and "x" denotes the horizontal axis.

In this equation, y represents how high the line rises, x represents how far it travels along, m represents the slope or gradient, or how steep the line is, and b represents the Y-intercept, or the point at which the line crosses the Y axis.

The X, Y, and slope are collectively referred to as the line properties. We will now plot the line 5x-6y-42 = 0 and determine its characteristics.

x = 0 the value of y is 7/-1 so this line "cuts" the y axis at y=-7.00000

y-intercept = 42/-6 = 7/-1  = -7.00000

y = 0 the value of x is 42/5 Our line therefore "cuts" the x axis at x= 8.40000

x-intercept = 42/5  =  8.40000

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Hey, sorry if I mixed up some words I had just broke my wrist yesterday...

Now, 50 Can be written as five, multiplied by 30 can be written as three multiplied by 10. So 50 unless 30 that's equal to five, multiplied by 10 plus three, multiplied by 10. here 10 is a common factor. So this equals 10 multiplied by the sum of five and three.

Given polynomial equation x3 - 8 = 0

x3-8 is a cubic polynomial is in the form a3 - b3 = (a - b)(a2 + ab + b2)

x3 - 23 = (x - 2)(x2 + 2x + 4)

One root is 2

x2 + 2x + 4 = 0

x = -b ± √(b2 - 4ac) / 2a

x = -2 ± √22 - 4(4) /2

x = -2 ± √4 - 16 /2

x = -2 ± √-12 /2

x = -1 ± √3i

Therefore, x = 2, -1 ±√3i

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Given,

polynomial equation x3 - 8 = 0

x3-8 is a cubic polynomial is in the form a3 - b3 = (a - b)(a2 + ab + b2)

x3 - 23 = (x - 2)(x2 + 2x + 4)

One root is 2

x2 + 2x + 4 = 0

x = -b ± √(b2 - 4ac) / 2

x = -2 ± √22 - 4(4) /2

x = -2 ± √4 - 16 /2

x = -2 ± √-12 /2

x = -1 ± √3i

Therefore, x = 2, -1 ±√3i

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Answer:

The lie is #3

Step-by-step explanation:

The only way to solve this is by testing each equation to see if it's true. Remember that dividing powers with the same base, in this case b, means you're just subtracting the exponents.

Substituting 5 for y in #1 gives us the equation [tex]\frac{b^9}{b^5}=b^4[/tex]. This is the same as saying [tex]b^9^-^5=b^4[/tex], which is true.

Substituting 7 for z and 2 for x in #2 gives us [tex]\frac{b^7}{b^2}=b^5[/tex]. Like we did for the first one, this is the same as [tex]b^7^-^2=b^5[/tex], which is also true.

That means that #3 is a lie, but substituting 2 for x anyway gives us [tex]\frac{b^8}{b^2}=b^8[/tex], or [tex]b^8^-^2=b^8[/tex]. This is not a true statement, and x would have to equal 0 for this to be true.

Answer: 168in^3

Step-by-step explanation:

6 x 7 x 4 = 168

The co-ordinates will be(x,y) by the given equation the co-ordinates (9,1).

How to co-ordinate using subtraction method?

So, the given equations are

-2x+9y=-9  ⇒ (i)

-3x+5y=12  ⇒ (ii)

(i) * 5 ⇒ -10x + 45y = -45

(ii) * 9 ⇒ -27x + 45y = 108

⇒ 17x =  153

x = 9

Now, substitute x=9 in equation (i)

-2(9) + 9y = -9

-18 + 9y = -9

9y = -9 + 18

y = 9/9

y = 1

Hence, the co-ordinates will be(x,y) by the given equation the co-ordinates (9,1).

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An equilateral triangle is a triangle that has three equal-length sides, commonly referred to as a "regular" triangle.

Find the attachment answer

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The value of.x will be 20 and the angles will each have a value of 90 degrees.

When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.

When two lines meet at a point, an angle is created.

An "angle" is the measurement of the "opening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.

Angles are a common occurrence in daily life.

Angles are used by engineers and architects to create highways, structures, and sports venues.

Hence, The value of.x will be 20 and the angles will each have a value of 90 degrees.

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Answer:

x = 21

Step-by-step explanation:

[tex]\frac{x}{9}[/tex] = [tex]\frac{35}{15}[/tex]

[tex]\frac{35}{15}[/tex] can be simplified to [tex]\frac{7}{3}[/tex] if we divide the numerator and denominator by 5

[tex]\frac{x}{9}[/tex] = [tex]\frac{7}{3}[/tex]  cross multiply and solve for x

3x = 63  Divide both sides by 3

x = 21

Answer: D

Step-by-step explanation:

To find the range, substitute each element in the domain into the function.

[tex]f(-5)=-2(-5+1)-2=-10\\\\f(0)=-2(0+1)-2=0\\\\f(5)=-2(5+1)-2=10[/tex]

This should probably go in the ART section of Brainly, it may be confusing to people like me, who only have math on here :]

Balance is the use of even elements in a work of art, while symmetry is a type of balance, where parts of the image are mirrored.

Hope this helps,

:]

The coordinates of P' after the transformation are (-1, 1)

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

Point P' = (2, -4)

This point can be represented as

(x, y) =  (2, -4)

Also, from the question, we have the transformation to be:

(x-3, y-3) and reflection line y=x

Mathematically, this can be expressed as

(x, y) = (y - 3, x - 3)

So, we have

Point P' = (2, -4)

This means that

y -3 = 2

x - 3 = -4

Evaluate

y = 1

x = -1

Hence, the point P after transformation is (-1, 1)

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The equation of the transformed function is (c) g(x) = 4(1/3x)²

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

f(x) = x²

g(x) = horizontally shrunk of f(x) by a factor 1/3 and vertical stretch by a factor of 4

The above equations implies that, we have the transformation to be:

Mathematically, this can be represented as

g(x) = 4f(1/3x)

Substitute the known values in the above equation, so, we have the following representation

g(x) = 4(1/3x)²

Hence, the transformed function si g(x) = 4(1/3x)²

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Answer: m<a 57 degrees

Step-by-step explanation:

All of the angles are the same and equal, so all angles are 57 degrees. Including m<a

Answer: Table

Step-by-step explanation: Hope you find it helpful!

Answer: t = 37.8 degree

Step-by-step explanation:

We know that a circle has 360 degrees, this is half a circle, so it total is 180 degrees.

We add 63.7 with 78.7 = 142.4 degree

Take 180 - 142.2 = 37.8 degree

The correct option regarding who should the restaurant give samples to generate a representative sample is given as follows:

All diners diners who are willing to pay for the samples.

Sampling is a technique for when a group of elements from a population is taken to represent the entire population.

This group of elements has to be representative of the entire population, as to lead to correct conclusions.

In this problem, all the dinners who are willing to pay for the samples should be sampled, as if they are willing to pay, it means that they are interested in the new dish, hence their opinions should be considered as it would improve the restaurant's revenue with the new dish.

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Answer:

8m = 800cm

8m = 0.008km

Step-by-step explanation:

1 kilometer is 1000 meters

1 meter is 100 centimeters

You'd only have to multiply in the first one:

[tex]8 \times 100 = 800[/tex]

8m = 800cm

Remember that when multiplying by 100 you only have to add zeros.

For km, as it is bigger than m you have to divide by 1000, when dividing this time you only have to carry an imaginary point starting from right to left, the amount of zeros there are:

[tex]8. \\ .8 \\ .08 \\ .008 \\ 8 \div 1000 = .008[/tex]

8m = 0.008km

If you run out of numbers when carrying the point, just add zeros.

To obtain an amount of 3 / 2 cups of flour, then we need three halves of cup by means of a 1 / 2 cup measuring cup.

In this problem we have the case of recipe that requires 3 / 2 cups of flour in terms of certain number of measuring cups with an amount of 1 / 2 cups. The number of measuring cups (n) is equal to the total required by the recipe (M) divided by the amount of the measuring cup (m), both in cups. That is:

n = M / m

If we know that m = 1 / 2 cup and M = 3 / 2 cup, then the number of measuring cups is:

n = (3 / 2 cup) / (1 / 2 cup)

n = 3

In other words, we need 3 halves of a cup of flour to obtain the required amount of 3 / 2 cups.

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Answer:

Assuming angle 1 is 75º.

1 -> 75

2 -> 105

3 -> 75

4 -> 105

5 -> 75

6 -> 105

7 -> 75

8 -> 105

Answer:

56

Step-by-step explanation:

Top line:

100% - 80% = 20%

20% of 60 = 0.2 × 60 = 12

Small piece on top is 12.

Second line:

Small piece is 12.

100% - 60% = 40%

Small piece is also 40%.

40% of x = 12

0.4x = 12

x = 12/0.4

x = 30

The entire second line is 30.

60% of 30 = 0.6 × 30 = 18

60% of second line is 18.

Third line:

30% of third line = 18

100% - 30% = 70%

30/18 = 70/x

30x = 18 × 70

x = 42

Larger part of third line is 42.

Fourth line:

75% of 4th line is 42.

100/x = 75/42

75x = 100 × 42

x = 56

Answer: 56

Answer:

2/3

Step-by-step explanation:

1-1/3 is the same that   3/3 - 1/3

3/3 - 1/3 = 2/3

The image after the transformations of rotation, translation or reflection can be found by certain operation or rotation.

We can find how to know the image of certain figures after the given transformations are done.

91) Here it is translation.

x coordinates are shifted to right by 3 units and y coordinates are shifted to  down by 5 units.

So the entire graph will be shifted to right by 3 units and down by 5 units.

92) Here, the translation is by not shifting the x coordinates and shifting the y coordinates 2 units to the down.

So the entire graph will be shifted to down by 2 units.

93) When a graph is reflected across x = -2, then the graph is moved horizontally such that the original figure and the image will be at the same distance from x = -2.

94) When a graph is reflected across y = 1, then the graph is moved vertically such that the original figure and the image will be at the same distance from y = 1.

95) When a graph is rotated about the origin 180°, if it is clockwise or anticlockwise, each of the coordinates (x, y) in the graph will become (-x, -y).

96) If the rotation is 90° counterclockwise about the origin, the coordinates (x, y) in the original graph becomes (-y, x).

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Because we know that the common denominator is 60 then 3/4 of an hour is 45mins then 1/6 of an hour is 10.

Given,

In the question:

There are 60 minutes in an hour so use 60 as a common denominator. Then rename each opening time using another common denominator.

Explain how you found your answer.

Now, According to the question:

There are 60 min in an hour

and, 60 as a common denominator.

So, 45/60 and 10/60

Explanation: Because we know that the common denominator is 60 then 3/4 of an hour is 45mins then 1/6 of an hour is 10.

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Answer:

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Step-by-step explanation: