What is the value of the product (3-2i)(3+2i)?

Answer:

Distance btw (-2, -2) and (8, -6) is (10, -4)

Step-by-step explanation:

I. Give (-2, -2) is A and (8, -6) is B

                     B - A = 8 - (-2) in x

                              = -6 - (-2) in y

                    So B - A = 10, -4

II. You can prove the answer by A.value + (10, -4) = B.value

Hope that help :D

Hi ;-)

[tex]\text{A}=(-2,-2) \ \text{and} \ \text{B}=(8,-6)\\\\|AB|=\sqrt{(8-(-2))^2+(-6-(-2))^2}\\\\|AB|=\sqrt{(8+2)^2+(-6+2)^2}\\\\|AB|=\sqrt{10^2+(-4)^2}\\\\|AB|=\sqrt{100+16}\\\\|AB|=\sqrt{116}\rightarrow\boxed{|AB|=2\sqrt{29}} \ (\text{because} \ 116=4\cdot29)[/tex]

Step-by-step explanation:

At Bob's binders, the unit price = $4.20 ÷ 3

= $1.40

At Pam's Paper Place the unit price = $5.20 ÷ 4 = $1.30

the better buy is at Pam's Paper place

Answer:

Perimeter is (8x + 4) units.

Step-by-step explanation:

[tex]{ \sf{perimeter = side + side + side}} \\ { \sf{p = (2x + 1) + (7x - 2) + (5 - x)}} \\ { \sf{p = (2x + 7x - x) + (1 - 2 + 5)}} \\ { \sf{p = 8x + 4}}[/tex]

Answer:

5d = 30

Step-by-step explanation:

1. first you need to add 5 to both sides

   d-4+5 = 2+5

2. then you need to combine like terms

   d+1 = 7

3. after that you have to multiply both sides by 5

   5(d+1) = 7(5)

4. simplify

   5d + 5 = 35

         -5     -5

   5d = 30

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The y intercept occurs when x = 0.

All you have to do is read the table until you come to x = 0.

When you do, read down to get the y value.

The answer is A (0,2)

Answer:

6.3 cm

Step-by-step explanation:

The distance from each centimeter is divided into 10 parts.  Point A starts at 0 and goes until right before 6.5.  The big line between each whole number signifies that you are halfway through the centimeter.  As you can see, point B is right before a big line, so can't be bigger than 6.5 nor equal.  The only option that fits this is 6.3 cm

The answer is 6.3 cm

If helpful, brainliest please !

Answer:

B

Step-by-step explanation:

The correct answer is B, because you have -4 +(-6)+(-2) which is really just

-4-6-2 which is -12. Think of it as getting rid of the plus sign and just leaving the negative sign. Which this would make the answer to the equation be -12, but for the answer of the question, it would be B because it is accumulating the drops in temperatures making the numbers go down in temperature, therefore making them negative.

A is not the answer because although it is similar to letter B, the difference is the final sentence, "What was the overall change in temperature?" Since -4 is listed as the pre-existing temperature, that would make -6 - 2 be equal to negative eight (-8).

C is not the answer because it includes a temperature rising by 18 degrees.

D is not the answer either because it is saying the temperature rose, which is shouldn't have risen.

The only time C and D could be right, is if they included bigger number that equaled out to negative twelve (-12), like saying the temperature rose 18 degrees, but fell by 26 degrees by midnight, that would make the equation look like -4 + 18 - 26 = - 12

Even in that case, C and D would be wrong immediately because of the use of numbers outside of the expression given.

Hope this helps!

Answer:

False; the scenario is not possible.

Step-by-step explanation:

This scenario is not possible. I will demonstrate it by representing a number by [tex]x[/tex]. There are two possibilities: [tex]x[/tex] and [tex]-x[/tex]. Let's try both:

[tex]x + |x|[/tex]

[tex]x + x[/tex]

[tex]2x[/tex]

The sum for positive [tex]x[/tex] and its absolute value is not negative. Let's try with the negative value of [tex]x[/tex] now:

[tex]-x +|-x|[/tex]

[tex]-x + x[/tex]

[tex]0[/tex]

The sum for negative [tex]x[/tex] and its absolute value is not negative either, it is zero which is neither negative or positive. Therefor, we can safely say that the scenario described is not possible.

Answer:

hope this helps you

have a great day

48..................

√8 < √9 = 3

and

√42 > √36 = 6

which means the positive integers between √8 and √42 are 3, 4, 5, and 6, and their sum is 18.

Answer:

537/100s.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-intercept(s):  

( − 4 , 0 ) , ( 6 , 0 )

y-intercept(s):  

( 0 , − 24 )

Answer:1 and 2

Step-by-step explanation:right on edge

Answer: The bill with a discount is $18.59

Step-by-step explanation:

Given information

2 boxes of $3.49 cereal

3 cartons of $2.99 ice-cream

6 packs of $1.99 soda

1/3 discount off total bill

Given expression

Bill = (1 - 1/3) (2 × 3.49 + 3 × 2.99 + 6 × 1.99)

Simplify values in parentheses

Bill = (2/3) (6.98 + 8.97 + 11.94)

Simplify by addition

Bill = (2/3) (27.89)

Simplify by multiplication

Bill = $18.59 (Rounded to the nearest hundredth because the usual money ends in nearest cent)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

y-intercept is (0, -8)

Step-by-step explanation:

[tex]y = {x}^{2} + 2x - 8[/tex]

At y-intercept, x is zero

substitute x as zero:

[tex]y = {(0)}^{2} + 2(0) - 8 \\ y = 0 + 0 - 8 \\ y = - 8[/tex]

Answer:

10 inches

Step-by-step explanation:

radius = 5 inches

Diameter = radius x 2 = 5 x 2 = 10 inches

Answer:

56mm²

Step-by-step explanation:

i will appreciate if u give brainliests, thanks

Answer:

400cm²

Step-by-step explanation:

the surface area of the sphere =

4/3 x The total surface area of a hemisphere

=> 4/3 x 300 = 400cm²

Factors for 3: 1 and 3

Factors for 5: 1 and 5

Factors for 14: 1, 2, 7, and 14

Answer:

1

Step-by-step explanation:

Factors for 3: 1 and 3  

Factors for 5: 1 and 5  

Factors for 14: 1, 2, 7, and 14

Since 1 is the greatest common factor in 3,5,14 ,

GCF = 1

Answer:

[tex] \sqrt{45 {x}^{2} } + \sqrt{5 {x}^{2} } + 4x \sqrt{5} \\ = 3 \sqrt{5} x + \sqrt{5} x + 4x \sqrt{5} \\ = 8x \sqrt{5} \\ thank \: you[/tex]

The Sequence:

1 , 1+2 , 1+2+3 , 1+2+3+4, ...

here, every term is an AP. finding the general formula for the sum of the elements of each term is:

Sₙ = [tex]\frac{x}{2}(2a + (x-1)d)[/tex]        [where x = number of term, a = first term and d = common difference]

here, the first term is always 1 and so is the common difference.

Sₙ = [tex]\frac{x}{2}(2 +x-1)[/tex]

Sₙ = [tex]\frac{x}{2}(1 +x)[/tex] = [tex]\frac{1}{2}(x + x^{2})[/tex]

which is the formula for a general term in our series

now, we need to find the sum of the first n terms of this series

[tex]\displaystyle\sum_{x=1}^{n} [\frac{1}{2}(x + x^{2})][/tex]

[tex]\displaystyle\frac{1}{2} [\sum_{x=1}^{n} (x) + \sum_{x=1}^{n}(x^{2})][/tex]

in this formula, for the first term, it's just an AP from x = 1 to x = n

for the second term, we have a general formula [tex]\frac{n(n+1)(2n+1)}{6}[/tex]

[tex]\frac{1}{2}[\frac{n}{2}(2a + (n-1)d)+ \frac{n(n+1)(2n+1)}{6} ][/tex]

in this AP (first term), the first term and the common difference is 1 as well

[tex]\frac{1}{2}[\frac{n}{2}(2 + n-1)+ \frac{n(n+1)(2n+1)}{6} ][/tex]

[tex]\frac{1}{2}[\frac{n}{2}(n+1)+ \frac{n(n+1)(2n+1)}{6} ][/tex]

[tex][\frac{n}{4}(n+1)+ \frac{n(n+1)(2n+1)}{12} ][/tex]

[tex]\frac{n}{4}(n+1) [1+\frac{(2n+1)}{3} ][/tex]

[tex]\frac{n}{4}(n+1) [\frac{(3+2n+1)}{3} ][/tex]

[tex]\frac{n}{4}(n+1) [\frac{(2n+4)}{3} ][/tex]

[tex]\frac{n}{2}(n+1) [\frac{(n+2)}{3} ][/tex]

[tex]\frac{n(n+1)(n+2)}{6}[/tex]

which is the sum of n terms of the given sequence

Answer:

Slope: 7/5

y intercept: (0,3)

Step-by-step explanation:

Answer:

[tex]\frac{(a+b)}{a^{2} -b^{2} }[/tex] + [tex]\frac{(a-b)}{a^{2} -b^{2} }[/tex] = [tex]\frac{2a}{a^{2} -b^{2} }[/tex]

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{ \sqrt{a + b} }{ \sqrt{a - b} } + \frac{ \sqrt{a - b} }{ \sqrt{a + b} } \\ squaring \: on \: both \: sides \\ \frac{a + b}{a - b} + \frac{a - b}{a + b} \\ \frac{(a + b) \times (a + b) + (a - b)(a - b)}{(a - b)(a + b)} \\ \frac{ {(a + b)}^{2} + {(a - b)}^{2} }{ {a}^{2} - {b}^{2} } \\ remaining \: in \: attachment[/tex]

[tex]thank \: you[/tex]

Answer: (1, -2)

Concept:

There are three general ways to solve the system of equations:

Here, we are going to use the elimination method to solve.

Solve:

Given

[tex]\left \{ {{y=-5x+3} \atop {2x-3y=8}} \right.[/tex]

Convert the first equation's arrangement to correlate with the second equation

[tex]\left \{ {{5x + y=3} \atop {2x-3y=8}} \right.[/tex]

Multiply 3 on both sides in the first equation

[tex]\left \{ {{15x + 3y=9} \atop {2x-3y=8}} \right.[/tex]

Eliminate [y] by adding the two equations

[tex]17x = 17[/tex]

Divide both sides by 17

[tex]17x / 17=17/17[/tex]

[tex]x=1[/tex]

[tex]y=-5x+3=-5(1)+3=-5+3=-2[/tex]

[tex](1, -2)[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

TR = 23

Step-by-step explanation:

first we have to find TS, so we subtract 16 from 4 to get 12. then we can add 12 and 11 to get TR

Answer:

The fourth answer choice is correct.

y>3x-1

The linear inequality that is represented here is y> 3x - 1. The last option is correct.

These are inequalities that shows linear functions. It is showing the data that is not equal in the graph that is presented.

We can see that the line cuts through 3 at the X axis and -1 at the y axis.

Read more on linear inequalities here:

https://brainly.com/question/17152894?referrer=searchResults

Answer:

the answer is 3. but the workings are so long