Please help ASAP pleaseeee no links or fake answers

Answer:

Step-by-step explanation:

[tex]Z_1=3+i\\Z_2=6\\Z_3=4+4i\\\\||Z_2\ Z_1||^2=||-3+i||^2=9+1=10\\\\||Z_1\ Z_3||^2=||1+3i||^2=10\\\\||Z_2\ Z_3||^2=||-2+4i||^2=20\\\\And\ 10+10=20[/tex]

Using the converse of the Pythagorean's theorem, the triangle is right.

Using Pythagorean theorem, the points 3 + i, 6, and 4 + 4i indeed form the vertices of a right triangle.

The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).

Let's calculate the distances between the points and then check if the Pythagorean theorem holds for them.

Distance between points A (3 + i) and B (6):

Distance AB = |6 - (3 + i)|

                     = |6 - 3 - i|

                     = |3 - i|

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

                     = √10

Distance between points A (3 + i) and C (4 + 4i):

Distance AC = |4 + 4i - (3 + i)|

                     = |1 + 3i|

                     = [tex]\sqrt{(1^2 + 3^2)[/tex]

                     = √10

Distance between points B (6) and C (4 + 4i):

Distance BC = |4 + 4i - 6|

                     = |-2 + 4i|

                     = [tex]\sqrt{((-2)^2 + 4^2)[/tex]

                     = √20

Now let's check if the Pythagorean theorem holds for these distances:

Longest side: [tex]BC^2 = (\sqrt20)^2 = 20[/tex]

Sum of squares of shorter sides:

[tex]AB^2 + AC^2 = (\sqrt10)^2 + (\sqrt10)^2[/tex] = 10 + 10 = 20

Since the sum of the squares of the shorter sides is equal to the square of the longest side.

So, the points 3 + i, 6, and 4 + 4i are vertices of a right triangle.

Learn more about Pythagorean theorem here:

https://brainly.com/question/28361847

#SPJ3

Answer:

7, 7, 6, 6

Step-by-step explanation:

Answer:

6.6.7.7

Step-by-step explanation:

that is we remove the subtract sign (negative sign)

Answer:

8/20

Step-by-step explanation:

Answer:

1

because 1 times anything is that number!

Step-by-step explanation:

Answer:

6ft by 15ft

Explanation:

L1 = 10 ft

W1 = 4 ft

L2 = L1*(3/2)

W2 = W1*(3/2)

L2 = 10 ft times (3/2) = 15 ft

W2 = 4 ft times (3/2) = 6 ft

I hope this answer helps you out!

Answer:

The value of 6 in 675,002 is 1,000 times greater than the value of 6 in 385,621.

Answer:

1.) C. 32

2.) Stem-and-leaf plot

Step-by-step explanation:

    This is a stem-and-leaf plot. The stem represents tens and the leaves represent units. To make it easier to look at, it is equivalent to this:

    Now, to find the mean, add up all the numbers and divide the sum by the number of values.

(20 + 28 + 29 + 29 + 31 + 32 + 36 + 41 + 42)/9 = 288/9 = 32

Answer:

It is 29x - 19y

Step-by-step explanation:

[tex]5(x - 7y) + 8(3x + 2y)[/tex]

open brackets:

[tex] = 5x - 35y + 24x + 16y[/tex]

group like terms together:

[tex] = (5x + 24x) + (16y - 35y)[/tex]

factorise out x and y :

[tex] = x(5 + 24) + y(16 - 35) \\ = 29x - 19y[/tex]

12x because you multiply it

Answer:

Step-by-step explanation:

We mark checks as negative and a deposit as positive:

Add up to get the total change of:

Correct choice is D

Answer:

Answer :-

Here, Irene is having a checking account. First she write a check of $160. Then means it has an decrease money. (-160) Now, She deposit $125. This means Now, the balance is -160 + 125 = $-35. She again write a check of $40. (-40). Total change =>

-40 - 35

-75

Option D is correct mate!

Answer:

172

Explanation:

Answer:

Her younger brother is 11 years old

Step-by-step explanation:

35=3+2x

35-3=2x

32=2x

32÷2=2x÷2

11=x

Answer: BX = 7  

======================================

Explanation:

For any rectangle, the diagonals are the same length and they cut each other in half (aka bisect each other).

This means diagonal BD = AC = 14 and BX = BD/2 = 14/2 = 7. The value of AB is never used.

Answer:

7

Step-by-step explanation:

Find the distance between A and B, AB,

[tex]AB=\sqrt{(3-3)^2+(-2-8)^2}=10[/tex]

Next, find the distance between B and C, BC,

[tex]BC=\sqrt{(t-3)^2+(1-2)^2}=\sqrt{(t-3)^2+1}[/tex]

The equation is,

[tex]10=2\sqrt{(t-3)^2+1}[/tex]

[tex]25=(t-3)^2+1[/tex]

[tex]t^2-3t+10=25[/tex]

[tex]t^2-3t-15=0[/tex]

Use quadratic formula to get possible values of t,

[tex]t_1=\frac{3+\sqrt{69}}{2}[/tex]

[tex]t_2=\frac{3-\sqrt{69}}{2}[/tex]

Hope this helps :)

Answer:

[tex]\displaystyle m\angle ABC = 34^\circ[/tex]

Step-by-step explanation:

∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:

[tex]\displaystyle m\angle ABD = m\angle ABC + m\angle CBD[/tex]

Substitute in known values:

[tex]\displaystyle \left(64^\circ\right) = m\angle ABC + \left(30^\circ\right)[/tex]

And subtract. Hence:

[tex]\displaystyle m\angle ABC = 34^\circ[/tex]

In conclusion, ∠ABC measures 34°.

Answer:

60 units²

Step-by-step explanation:

A = ½bh

Let the horizontal line AC be the base which has a length of 10 along the line y = 7

The vertical distance between this line and point B is 7 - (-5) = 12

A = ½(10)(12)

Answer:

It is.

Step-by-step explanation:

1.5cm is in the plan.

1.92m is in real life.

We need to convert m to cm so 1.92m=192cm

The ratio is 1:128.

1.5cm in plan as is 192 cm in real life.We write that as the ratio of: 1.5 : 192.

We need to prove that it is the actual scale so we equal this ratio(1.5:192) and the other ratio(1:128):

1.5 : 192 = 1 : 128

Then we multiply the numbers that are in and out of the equation like this:

1.5 * 128 = 192 * 1

192 = 192 It is proven beacuse the numbers are equal. The scale of the house is 1:128

Answer:

It is -4/7

Step-by-step explanation:

[tex] \frac{168}{ - 294} \\ \\ = - \frac{4}{7} [/tex]

Answer:

168/-294 × 5/5 = 840/1470

= - 840/ 1470

= 1470

Answer:

32.8

Step-by-step explanation:

well you need to use soh cah toa. so here we would use sin since we get an opposite side and a hypotenuse. so 45/83 would give us the sin of the sides but since we need to find the angle we take the sin inverse which gives us 32.83139231 which rounds to 32.8

Answer: 10

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

**Disclaimer** I assumed that the [1/2] in [1/2ac2] is a single term and [c2] in [1/2ac2] is b². If it was, then you may refer to my answer. If it was not, then you may tell me and I will redo it.

Given information

a = 5

b = 2

Given expression

(1/2) · a · b²

Substitute values into the expression

=(1/2) · (5) · (2)²

Simplify exponents

=(1/2) · (5) · (4)

Simplify by multiplication

=(2) · (5)

=10

Hope this helps!! :)

Please let me know if you have any questions

Answer:

12

Step-by-step explanation:

hi vọng điêu nay co ich

6 - (-3) = 6 + 3

6+3 = 9

9 is your answer

109 pumpkins

Step-by-step explanation:

I don't think this is right but

In Indian numerical system (or number system) is a written system that is adapted for representing numbers within India.

Given:

27,974

[tex]\to \bold{20,000 +7,000+ 900+ 70 +4=27,974} \\\\\to \bold{27\ thousands + 97\ tens + 4\ ones =27,974}\\\\OR\\\\\to \bold{27\ thousands + 9\ hundred + 74 =27,974}\\\\[/tex]

Learn more:

brainly.com/question/21751836

Answer:

2, 4, 26, 142, 788

Step-by-step explanation:

Using the recursive rule and t₁ = 2, t₂ = 4 , then

t₃ = 5t₂ + 3t₁ = 5(4) + 3(2) = 20 + 6 = 26

t₄ = 5t₃ + 3t₂ = 5(26) + 3(4) = 130 + 12 = 142

t₅ = 5t₄ + 3t₃ = 5(142) + 3(26) = 710 + 78 = 788

First 5 terms are 2, 4, 26, 142, 788

Answer:

g(-5) = -7

Step-by-step explanation:

given:

[tex]g(x) = -x-2[/tex]

find:

[tex]g(-5) [/tex]

~~~~~~~~~~~~

➡️ [tex] g(-5) = -(-5) - 2[/tex]

➡️ [tex] g(-5) = -(-5 - 2) [/tex]

➡️ [tex] g(-5) = -7 [/tex]