Show that the points A(2,-2), B(14, 10), C(11, 13) and
D(-2, 1) are the vertices of reclangle
​

Answer:

D) 1

Step-by-step explanation:

When you start raising i to certain powers, you begin to notice a pattern.

[tex]i^1=i \\\\i^2=-1 \\\\i^3=-i \\\\i^4=1 \\\\i^5=i \\\\ i^6=-1 \\\\ i^7=-i \\\\i^8= 1[/tex]

This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!

Answer: 1

Step-by-step explanation:

Answer:

8(x-9)(x-3)

Step-by-step explanation:

First expand the expression:

4(2x-6) x 3(x-3) = (8x-24) x (x-9)

Now use distribution method top multiply the 2 brackets:

8x^2 - 72x - 24x + 216

simplify:

8x^2 - 96x +216.

You can factorize this:

8(x-9)(x-3)

Hope this helps

Good Luck

Answer:

Step-by-step explanation:

Answer:

13 tickets

Step-by-step explanation:

Answer:

33 is the answer

Step-by-step explanation:

Answer:

(6, 9) (9, 13.5) (10, 15) and k = 1.5

Step-by-step explanation:

We can plug the given points into the equation y = kx

3 = k(2)

1.5 = k (constant of proportionality)

Then, we can use this to complete the other pints.

y = 1.5(6)

y=9, so (6, 9)

13.5 = 1.5(x)

9 = x, so (9, 13.5)

If we follow the pattern, the last point should be (10, 15)

Gavin's number is 68.6

Equation: 1/2(x) = 34.3

Use inverse operations on both sides.

1/2(x) = 1x or x = 34.3(2)

34.3(2) = 68.6

Thus, x equals 68.6

Gavin's number is 68.6.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life

here, we have,

Gavin halves the number and gets an answer of 34.3.

now, we get,

Equation: 1/2(x) = 34.3

Use inverse operations on both sides.

1/2(x) = 1x

or x = 34.3(2)

i.e. 34.3(2) = 68.6

Thus, x equals 68.6.

To learn more on multiplication click:

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Answer:

f(x)= 5x+2

Step-by-step explanation:

Slope is 5, y intercept is (0,2)

Answer:

Step-by-step explanation:

1770/5 = the unti price

1770 / 5 = 354

354

[tex]solution \\ cost \: of \: 5 \: gallons \: of \: gas = 1770 \\ cost \: of \: 1 \: gallons \: of \: gas = \frac{1770}{5} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 354 \\ [/tex]

hope it helps...

good luck on your assignment

Answer:

b = 320

Step-by-step explanation:

a + b = 880

1 - 4/7 = 3/7 (restant A)

1 - 1/4 = 3/4 (restant B)

(3/7) . a = (3/4) . b

a = (7/4) . b

a + b = 880

(7/4) . b + b = 880

7b + 4b = 880 . 4

11 b = 880 . 4

b = 320

Answer:

Subtract -7x from both sides

Step-by-step explanation:

You want to isolate the y term on one side of the equation

Answer:

The answer is option 2.

Step-by-step explanation:

The first step to solve for y, you have to subtract 7x on both sides in order to make y as a subject :

[tex]7x - 10y = 30[/tex]

[tex]7x - 10y - 7x = 30 - 7x[/tex]

[tex] - 10y = 10 - 7x[/tex]

Step-by-step explanation:

1 business = 736800 ÷ 9 = 81866.66

Each business associates 81866.66

Answer:

r = 5

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r is the common ratio

Here a₁ = 1 and a₅ = 625, thus

1 × [tex]r^{4}[/tex] = 625 , so

r = [tex]\sqrt[4]{625}[/tex] = 5

The common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a geometric sequence for which:

The first term a1 = 1

and fifth term:

a5 = 625

As we know, the geometric sequence follows a certain arithmetic rule of multiplication.

The nth term of the geometric sequence is:

a(n) = arⁿ⁻¹

a1 = a = 1

a5 = ar⁵⁻¹ = 625

Take the ratios:

a/ar⁵⁻¹ = 1/625

r is the common ratio.

1/r⁴ = 1/625

r⁴ = 625

r = 5

The common ratio is 5.

Thus, the common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.

Learn more about the sequence here:

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Step-by-step explanation:

1. Create your own example and explain how to solve Quadratic Equation using Quadratic Formula.

The quadratic formula is used to solve quadratic equations. It is shown as   [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

A quadratic equation is generally shown in the form of [tex]ax^{2} +bx + c = 0[/tex]

For example, if you saw the equation  [tex]7x^{2} + 3x + 20 = 0[/tex]

7 would be [tex]a[/tex], 3 would be [tex]b[/tex], and 20 would be [tex]c[/tex].

To solve the equation above, you would fill in the quadratic formula as such, [tex]x=\dfrac{-3\pm\sqrt{(3)^2-4(7)(20)}}{2(7)}[/tex]

Then you could solve for x.

2. What part in the Quadratic Formula is the discriminant?

The discriminant is the equation under the square root on the quadratic formula, [tex]b^{2} - 4ac[/tex]

It is tells us whether there are two solutions, one solutions, or no solutions.

3.  How do you know the number of solutions based on the value of the discriminant?

To know the number of solutions based off of the value of the discriminant, you need to plug in your values. Using the example quadratic equation, [tex]7x^{2} + 3x + 20 = 0[/tex]

We will plug the values into the discriminant.

[tex]3^{2} - 4(7)(20) = -551[/tex]

Now, if the discriminant is positive it has two real solutions. If the discriminant is zero the equation has no real-number solutions. And finally, if the discriminant is negative, the equation has one real solution. Because our discriminant is -551, the example equation has one real solution.

Hope this helps! (Please consider Brainliest)

Answer:

Sum of absolute deviation = 16

MAD = 1.78

Step-by-step explanation:

Given the following data:

X = 4, 5, 5, 6, 7, 8, 8, 10, 10

Absolute deviation from the mean means how each value in X deviates from the mean of the data without considering if the difference is positive or negative. Therefore, the absolute value is recorded and all deviations are recorded as positive.

Absolute deviation from the mean :

Mean of data (u) = (sum of data / number of observations)

( 4 + 5 + 5 + 6 + 7 + 8 + 8 + 10 + 10) / 9

= 63/9

= 7

Absolute deviation = ( x - u)

Sum of absolute deviation ;

|4-7| + |5-7| + |5-7| + |6-7| + |7-7| + |8-7| + |8-7| + |10-7| + |10-7|

3 + 2 + 2 + 1 + 0 + 1 + 1 + 3 + 3 = 16

Mean absolute deviation(MAD) ;

SUM OF ABSOLUTE DEVIATION / N

Where N = number of observations

MAD = 16/9 = 1.78

Answer:

Quinn did not make a mistake. This is because everything she did is correct and also if we calculate the expression without doing anything she did, we see that she has the right answer.

Answer:

she didn't make any mistake

Step-by-step explanation:

She has expressed it correctly and if we calculate, the multiplication is also correct

Answer:

[tex]sin^2(\pi/4)+cos^2(\pi/4)=1[/tex]

Step-by-step explanation:

Notice that you don't need to evaluate the actual sin and cos functions, since you are in the presence of a well known Pythagorean identity that states that this type of addition of squares for the same angle should equal 1:

[tex]sin^2(x)+cos^2(x)=1[/tex]

So, as long as the angle "x" is the same in both trig functions, this addition should render "1" (one).

Because in this case the angle involved is the same (in both cases pi/4), the identity is valid.

Answer:

No, thats because a bisector means it extendes from the main branch. So thats all fine, also its supposed to be perpendicular. That means it forms a right angle. Therefore the answer is

Answer:

No because the line that is formed is not 90 degrees and a perpendicular line is a line that forms at a 90 degree angle.

Step-by-step explanation:

PC is not a perpendicular bisector because although it splits AB in half, it does not form a right angle with AB.

Answer:

(f - g)(2) = 2

Step-by-step explanation:

Given the functions below, find (f - g) (2).

f(x) = x² + 3

g(x) = 4x – 3

(f - g)(x) = (x²+3)-(4x-3)

(f - g)(x) = x²+3-4x+3

(f - g)(x) = x²-4x+6

(f - g)(2) = (2)²-4(2)+6

(f - g)(2) = 4-8+6

(f - g)(2) = 2

Answer:

6m

Step-by-step explanation:

Answer:

6m

Step-by-step explanation:

=5m-2m+3m

=3m+3m

=6m

HOPE IT HELPS❤️

Answer:

y = (-8)/9

Step-by-step explanation:

Solve for y:

14 - 9 y = 22

Subtract 14 from both sides:

(14 - 14) - 9 y = 22 - 14

14 - 14 = 0:

-9 y = 22 - 14

22 - 14 = 8:

-9 y = 8

Divide both sides of -9 y = 8 by -9:

(-9 y)/(-9) = 8/(-9)

(-9)/(-9) = 1:

y = 8/(-9)

Multiply numerator and denominator of 8/(-9) by -1:

Answer: y = (-8)/9

Answer:

-8/9

Step-by-step explanation:

2 x − 9 y = 22

x=7

Answer:

Hope it helps!

Step-by-step explanation:

The general form of a cubic function is y = ax3 + bx + cx + d where a , b, c and d are real numbers and a is not zero. We can graph cubic functions by plotting points.

A cubic function is any function of the form y = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants, and a is not equal to zero, or a polynomial functions with the highest exponent equal to 3. These types of functions are extremely prevalent in applications involving volume.

Credits;

Graphs of Cubic Functions (solutions, examples, videos)

Cubic Function: Definition, Formula & Examples - Video & Lesson

Answer: 1st one thank me later

Step-by-step explanation:

Answer:

Step-by-step explanation:

third side=38-(10+16)=38-26=12

sides are 10 cm, 12 cm , 16 cm.

2s=10+12+16=38

s=38/2=19

area=√(s(s-a)(s-b)(s-c))

=√[19(19-10)(19-12)(19-16)]

=√[19×9×7×3]

=3√391 cm²

≈59.32 cm²

Answer:

The answer to your question is C.

Step-by-step explanation:

Have a nice day :)

Answer:

Your Answer is $43.7

Step-by-step explanation:

Take the initial $38 and Multiply it by the .15 (15%) tip

You get a $5.7 tip

Add that to the meal cost of $38 and you get $43.7

Answer:

∈

Step-by-step explanation:

∈ symbol indicates the data set on the left side is fully included in the data set on the right side

Answer:

1.3x+9

2.1x+4

3.3x+1

Step-by-step explanation:

Answer:

work is pictured and shown

Answer:

percent is 1/100

you just multiply the percentage value by 1/100 to find its value

If for example you are taking 20% of 500, then 20*500/100= 100 is the answer

Answer:

The answer should be 210 unit cubes.

Step-by-step explanation:

The volume of a rectangular prism is given by the following expression:

[tex]volume = length*width*height[/tex]

In words, it is the product of its edge lengths. If the prism was packed with 210 unit cubes, then this must be equal to its volume, so by multiplying the edge lengths the result should be equal to 210 unit cubes.