Graph (x - 2)2 + (y - 1)2 = 9 - Double tap to add text​

Answer:

13 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 1, 3 ) and (x₂, y₂ ) = (4, - 9 )

d = [tex]\sqrt{(4-(-1))^2+(-9-3)^2}[/tex]

  = [tex]\sqrt{(4+1)^2+(-12)^2}[/tex]

   = [tex]\sqrt{5^2+144}[/tex]

   = [tex]\sqrt{25+144}[/tex]

   = [tex]\sqrt{169}[/tex]

   = 13

Step-by-step explanation:

the other answer is correct.

just a few words about the why :

when you look at 2 points on the coordinate grid, then the distance between them creates a right-angled triangle.

the direct distance is the Hypotenuse (the baseline opposite of the 90° angle).

and the x-coordinate difference and the y-coordinate difference are the legs of that triangle.

and then we can use Pythagoras

c² = a² + b²

c = sqrt(a² + b²)

with c being the Hypotenuse.

and you see, that is exactly the so-called distance formula the other answer used.

Answer:

644 cm^2

Step-by-step explanation:

20*5*2 = 200

6*5*2 = 60

20*6 = 120

6*8 = 48

12*4*2 = 96

6*4*2 = 48

12*6 = 72

Answer:

13.125

Step-by-step explanation:

Answer:

113

Step-by-step explanation:

26x4=104

1x9=9

104+9=113

Answer:

I don't even have to look at it It's 17 final answer

Answer:

7 < 3 is false.

Explanation:

a) -3 > -5 is a true statement

b) 7 < 3 is a false statement

c) -5 < -3 is a true statement

d) 3 < 7 is a true statement

Answer:

(2, 5 )

Step-by-step explanation:

3x + 2y = 16 → (1)

2x + y = 9 ( subtract 2x from both sides )

y = 9 - 2x → (2)

substitute y = 9 - 2x into (1)

3x + 2(9 - 2x) =16

3x + 18 - 4x = 16

- x + 18 = 16 ( subtract 18 from both sides )

- x = - 2 ( multiply both sides by - 1 )

x = 2

substitute x = 2 into (2)

y = 9 - 2(2) = 9 - 4 = 5

solution is (2, 5 )

Answer:

-256

Step-by-step explanation:

The numbers are being multiplied by 2.

( -4 * 2 = -8)

(-8* 2 = -16)

Answer:

see explanation

Step-by-step explanation:

(a)

given 2 intersecting chords in a circle, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

FH × HG = DH × HE ( substitute values )

2y = 3 × 4 = 12 ( divide both sides by 2 )

y = 6

then

DE = 3 + 4 = 7

FG = 2 + y = 2 + 6 = 8

(b)

given 2 secants from an external point to a circle, then the product of one secant's external part and the entire secant is equal to the product of the other secant's external part and the entire secant , that is

AB × AC = AD × AE ( substitute values )

5(5 + x) = 6 × (6 + 6)

25 + 5x = 6 × 12 = 72 ( subtract 25 from both sides )

5x = 47 ( divide both sides by 5 )

x = 9.4

then

AE = 6 + 6 = 12

AC = 5 + x = 5 + 9.4 = 14.4

Answer:

no graph un asnwerable

Step-by-step explanation:

Answer:

2 pounds.

Step-by-step explanation:

We have been given that Luke bought 256 ounces of strawberries. He divided them evenly between 8 different pies. We are asked to find the pounds of strawberries that Luke put on each pie.

First of all, we will convert 256 ounces into pounds.

We know that 1 pound equals 16 ounces. To convert 256 ounces into pounds, we need to divide 256 by 16.

[tex]256[/tex] [tex]ounces=\frac{256}{16}[/tex] [tex]pounds=16[/tex] [tex]pounds[/tex]

Now we will divide 16 pounds by 8 to find number of strawberries put on each pie.

[tex]Pounds[/tex] [tex]of[/tex] [tex]strawberries[/tex] [tex]on[/tex] [tex]each[/tex] [tex]pie=\frac{16}{8}[/tex]

[tex]Pounds[/tex] [tex]of[/tex] [tex]strawberries[/tex] [tex]on[/tex] [tex]each[/tex] [tex]pie=2[/tex]

Therefore, Luke put 2 pounds strawberries on each pie.

Answer:

C

Step-by-step explanation:

Pythagorean theorem

√25²-20²=15

Answer:

C

Step-by-step explanation:

the figure is a rectangle with opposite equal sides

Consider the upper right triangle

using Pythagoras' identity

p² + 20² = 25²

p² + 400 = 625 ( subtract 400 from both sides )

p² = 225 ( take square root of both sides )

p = [tex]\sqrt{225}[/tex] = 15

Answer:

I'd say think

Step-by-step explanation:

Do 3i =(7²)

3i=49

Answer:

see explanation

Step-by-step explanation:

given a polynomial has roots x = a and x = b , then the corresponding factors are

(x - a) and (x - b)

the polynomial is then the product of the factors , that is

f(x) = (x - a)(x - b)

note that radical and complex roots occur in conjugate pairs.

(5)

given x = - 3i is a root then x = 3i is also a root

factors then are (x - 3i) , (x + 3i) , (x - 7) , then

f(x) = (x - 7)(x - 3i)(x + 3i) ← expand 2nd pair using foil

     = (x - 7)(x² - 9i²) [ i² = - 1 ]

    = (x - 7)(x² + 9) ← distribute factors

   = x³ + 9x - 7x² - 63

f(x) = x³ - 7x² + 9x - 63

(6)

roots are x = [tex]\sqrt{5}[/tex] , x = - [tex]\sqrt{5}[/tex] , x = i , x = - i , and factors are

(x - [tex]\sqrt{5}[/tex] ) , (x + [tex]\sqrt{5}[/tex] ) , (x - i) , (x + i) and

f(x) = (x - [tex]\sqrt{5}[/tex] )(x + [tex]\sqrt{5}[/tex] )(x - i)(x + i) ← expand pairs of factors using FOIL

     = (x² - 5)(x² + 1) ← distribute factors

     = [tex]x^{4}[/tex] + x² - 5x² - 5

then

f(x) = [tex]x^{4}[/tex] - 4x² - 5

Answer:

The are consecutive interior angles.

The answer would be 115

Step-by-step explanation:

Answer:

  No

Step-by-step explanation:

An exponent signifies the number of times the base is a factor in the product. When products involving the same base are multiplied, the total number of factors is the sum of the number in each of those products.

__

  [tex]5^2=5\cdot5\\\\5^9=5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\\\\5^2\cdot5^9=(5\cdot5)\cdot(5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5)=5^{11}[/tex]

The base of the exponent in the product is the value that is a repeated factor. It is 5, not (5·5).

Your friend is not correct.

__

The general rule for exponents is ...

  (a^b)(a^c) = a^(b+c)

Answer:

It does not matter.

Step-by-step explanation:

How to find a slope with just two points,

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate the slope.

Example

Let's say that points (15, 8) and (10, 7) are on a straight line. What is the slope of this line?

Step One: Identify two points on the line.

In this example, we are given two points, (15, 8) and (10, 7), on a straight line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

It doesn't matter which we choose, so let's take (15, 8) to be (x2, y2). Let's take the point (10, 7) to be the point (x1, y1).

Step Three: Use the equation to calculate the slope.

Once we've completed step 2, we are ready to calculate the slope using the equation for a slope:

[tex]slope=\frac{y2-y1}{x2-x1} =\frac{8-7}{15-10} =\frac{1}{5}[/tex]

We said that it really doesn't matter which point we choose as (x1, y1) and the which to be (x2, y2). Let's show that this is true. Take the same two points (15, 8) and (10, 7), but this time we will calculate the slope using (15, 8) as (x1, y1) and (10, 7) as the point (x2, y2). Then substitute these into the equation for slope:

[tex]slope=\frac{y2-y1}{x2-x1} =\frac{7-8}{10-15} =\frac{-1}{-5}=\frac{1}{5}[/tex]

We get the same answer as before!

Often you will not be given the two points but will need to identify two points from a graph. In this case, the process is the same, the first step being to identify the points from the graph. Below is an example that begins with a graph.

So therefore it does not matter.

No, it does not matter which point you choose as (x₁, y₁) and which point you choose as (x₂, y₂) when using slope formula. Slope between two points on line remains same regardless of order in which you choose points.

The slope formula is given by slope = (y₂ - y₁) / (x₂ - x₁)

This is because the slope represents the rate at which the y-coordinate changes with respect to the x-coordinate.

If you swap the points (x₁, y₁) and (x₂, y₂), the change in y and the change in x will simply swap as well, but their ratio, which is the slope, will remain unchanged. For example, if the slope between (x₁, y₁) and (x₂, y₂) is m, then the slope between (x₂, y₂) and (x₁, y₁) will also be m.

This property of the slope formula makes it convenient and efficient to calculate the slope between two points, regardless of their order, as it will yield the same result.

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Answer:

-3,-2

Step-by-step explanation:

Answer:

-3,-2

Step-by-step explanation:

if it goes down in numbers but increases in x that would mean the value would change by that much (-3,-2).

Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number. The number which he is thinking is 7.5.

Two or more expressions with an equal sign is called as Equation.

Given that Dexter is thinking of a number, x. Two more than three times his number is the same value as thirteen less than five times his number.

Let the number which Dexter is thinking be x.

Two more than three times his number.

It means value two is added to the product of 3 and the number which he is thinking x.

3x+2

thirteen less than five times his number

It means value thirteen is subtracted from  the product of 5 and the number which he is thinking x.

5x-13.

It is given Two more than three times his number is the same value as thirteen less than five times his number

3x+2=5x-13

Take the like terms to one side

13+2=5x-3x

15=2x

Divide both sides by 2.

x=7.5

Hence the value of x is 7.5.

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Answer:

Yes

Step-by-step explanation:

When there are 2 rows

When there are 3 rows

Therefore, there will be more erasers per row in 2 equal rows than in 3 equal rows.

Answer:

56

Step-by-step explanation:

(-2)(-4)(-1)(-7)(1) =

(8)(-1)(-7)(1) =

(-8)(-7)(1) =

(56)(1) = 56

hope this helps

have a good day

Answer:

[tex]f(x)=2(x+4)^2-27[/tex]

Step-by-step explanation:

Complete the square

[tex]f(x)=2x^2+8x+5\\f(x)=2(x^2+8x+\frac{5}{2})\\f(x)+2(\frac{27}{2})=2(x^2+8x+\frac{5}{2}+\frac{27}{2})\\f(x)+27=2(x^2+8x+16)\\f(x)+27=2(x+4)^2\\f(x)=2(x+4)^2-27[/tex]

This tells us that the vertex of the parabola is [tex](-4,-27)[/tex].

Answer:

Its probably C or B I hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

B) 1 1/3

Step-by-step explanation:

4 x 1/3 = 4/3

4/3 = 1 1/3

Step-by-step explanation:

Alana is correct.

example : a kite

2 pairs of equally long sides, but none is parallel.

Step-by-step explanation:

[tex] = 1 - ( \frac{1}{6} + \frac{1}{5} )[/tex]

[tex] = 1 - ( \frac{5}{30} + \frac{6}{30} )[/tex]

[tex] = 1 - \frac{11}{30} [/tex]

[tex] = \frac{30}{30} - \frac{11}{30} [/tex]

[tex] = \frac{19}{30} [/tex]

So, he keeps [tex] \frac{19}{30}[/tex]

Answer:

Sanjeev kept 19/30 of his cake.

Step-by-step explanation:

So, if Sanjeev ate 1/6 of the cake there will be 5/6 of the cake left over.

He gave 1/5 of this 5/6 to his friend.

He did not give 1/5 of the entire cake, he gave 1/5 of the remainder of his cake, which was 5/6.

To solve this, we must first convert both fractions to the same denominator.

1/5 and 5/6 becomes 6/30 and 25/30

He gave away 6/30 of this 25/30

It is now clear that we must take away how much he gave away from the remainder of the cake.

25/30 subtract 6/30 becomes 19/30

We cannot simplify this.

Therefore, Sanjeev kept 19/30 of his cake.

Answer:

[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]

Step-by-step explanation:

A function is increasing when its gradient is positive (so y-coordinates are increasing).

We have a graph, rather than a function given to us, so we don't need to use any calculus.

Looking at the graph, we can see that before x=0, the graph is going up (gradient is increasing).

Between x=0 and x=1, the function is decreasing.

After x=1, the function is increasing again.

We can use mathematical notation to express this.

[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]

Or

[tex]x < 0\ \text{and}\ x > 1[/tex]

A function assigns the values. The interval on which the given function is increasing is (-∞,0)∩(1,∞).

A function assigns the value of each element of one set to the other specific element of another set.

For the given functions graph, the interval on which the given function is increasing is the interval of the function where the slope of the function is positive. Therefore, the interval of the function on which the given function is increasing is (-∞,0) and (1,∞). The interval for the given function can also be written as (-∞,0)∩(1,∞).

Hence, the interval on which the given function is increasing is (-∞,0)∩(1,∞).

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Answer:

There are 32 marbles. 11 are red. So odds of a red on the first are 11/32.

Now there are 31 marbles left. 10 are red. So odds of a red on the second is 10/31.

Probability both are red, just multiply …. 11/32x 10/31 = 110/992 or 0.111.

Answer:

x = 3

Step-by-step explanation:

[tex](8x - 8)^{3/2} = 64\\(8x - 8)^{3} = 4096\\x = 3[/tex]

Answer:

A on edge 23

Step-by-step explanation:

because math

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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

        What are the coefficients in the polynomial 4x²+3x-3?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

Coefficient:-  A number before a variable

Coefficients in this polynomial:-

4 (the number before x²) and 3 (the number before x)

So we conclude that the right option is:-

[tex]\bigcirc\!\!\!\!\!\large\checkmark[/tex] 4, 3 (Option B)

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