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Answer:

I) √29

ii) 3√5

iii) 5√5

iv) √41

v) √5

vi) 6√2

Step-by-step explanation:

1)

Given complex numbers    -1+i and -3-4i

The points are ( -1 , 1) and (-3 , -4 )

Distance formula

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

= [tex]\sqrt{(-4-(1) )^{2} +(-3 -(-1) )^2 } = \sqrt{25+4} =\sqrt{29}[/tex]

2)

Given complex numbers    1+i and 7-2i

The points are ( -3,4) and (-6,-1)

Distance formula

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

[tex]\sqrt{(-2-1 )^{2} +(7-1)^2 } = \sqrt{9+36} =\sqrt{45}= 3\sqrt{5}[/tex]

3)

Given complex numbers   -3 +4i and -6-i

The points are ( -3 ,4 ) and (-6 ,-1)

[tex]\sqrt{(-1-4 )^{2} +(-6-4)^2 } = \sqrt{25+100} =\sqrt{125}= 5\sqrt{5}[/tex]

4)

Given complex numbers are -2+3i and 2-2i

The points are ( -2 ,3) and (2 , -2)

[tex]\sqrt{(-2-3 )^{2} +(2+4)^2 } = \sqrt{25+36} =\sqrt{41}[/tex]



5)

Given complex numbers are 3 and 5+i

The points are( 3,0) and (5,1)

[tex]\sqrt{(1-0 )^{2} +(5-3)^2 } = \sqrt{1+4} =\sqrt{5}[/tex]



6)

Given complex numbers are -4+5i and 2-i

The points are ( -4 ,5) and ( 2,-1)

[tex]\sqrt{(-1-5 )^{2} +(2-(-4))^2 } = \sqrt{36+36} =\sqrt{72}= 6\sqrt{2}[/tex]



Answer:

0 ≤ t ≤ 4.5.

Step-by-step explanation:

Since the volume of the tub, V is increasing at a rate of 8 gallons per minute, the volume of the bathtub at any time, t is V = 8t.

Now, to find the domain of the function, V, we know that the minimum value for V is zero and the maximum value is 36. Now, at V = 0,

V = 8t

0 = 8t

t = 0 and at V = 36 gallons,

V = 8t

36 = 8t

t = 36/8

t = 4.5 minutes

Since 0 ≤ V ≤ 36, 0 ≤ t ≤ 4.5.

So, the domain of the function V is 0 ≤ t ≤ 4.5.

I really don't know this I'm so sorry

Answer:

14

Step-by-step explanation:

Well, a right triangle has a total of 90 degrees, if the hypotenuse is 22, and leg b is 54, then the remaining leg a would have to be 14.

Answer:

69%

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

this is an increasing graph. of y = 30x + b

Step-by-step explanation:

since all that is happening is that people are adding money, the graph just goes up and up

Answer:

1/2k+2=5+5/6k

-3 = 5/6k-1/2k

-3=2/6k

k= -9

Final Answer: [tex]k = -9[/tex]

Steps/Reasons/Explanation:

Question: Solve the equation [tex]\frac{1}{2} k + 2 = 5 + \frac{5}{6}k[/tex]. Please select the best answer from the choices provided​.

[tex]a.[/tex] [tex]2\frac{1}{4}[/tex]

[tex]b.[/tex] [tex]-9[/tex]

[tex]c.[/tex] [tex]9[/tex]

[tex]d.[/tex] [tex]-21[/tex]

Step 1: Simplify [tex]\frac{1}{2}k[/tex] to [tex]\frac{k}{2}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5}{6}k[/tex]

Step 2: Simplify [tex]\frac{5}{6}k[/tex] to [tex]\frac{5k}{6}[/tex].

[tex]\frac{k}{2} + 2 = 5 + \frac{5k}{6}[/tex]

Step 3: Multiply both sides by [tex]6[/tex] (the LCM of [tex]2, 6[/tex]).

[tex]3k + 12 = 30 + 5k[/tex]

Step 4: Subtract [tex]3k[/tex] from both sides.

[tex]12 = 30 + 5k - 3k[/tex]

Step 5: Simplify [tex]30 + 5k - 3k[/tex] to [tex]30 + 2k[/tex].

[tex]12 = 30 + 2k[/tex]

Step 6: Subtract [tex]30[/tex] from both sides.

[tex]12 - 30 = 2k[/tex]

Step 7: Simplify [tex]12 - 30[/tex] to [tex]-18[/tex].

[tex]-18 = 2k[/tex]

Step 8: Divide both sides by [tex]2[/tex].

[tex]-\frac{18}{2} = k[/tex]

Step 9: Simplify [tex]-\frac{18}{2}[/tex] to [tex]-9[/tex].

[tex]-9 = k[/tex]

Step 10: Switch sides.

[tex]k = -9[/tex]

~I hope I helped you :)~

Answer:

Step-by-step explanation:

(3x + 4) (x - 8)

3x2 - 8x + 4x - 32

3x2 - 4x - 32

Option B is the correct answer

Answer:

3x2 − 20x − 32

Step-by-step explanation:

Plato answer

Answer:

x° = 36°, y° = 36°, z° = 72°

Step-by-step explanation:

Each interior angle of a regular polygon is given by the following formula;

Interior angle = (n - 2)×180°/n

Where;

n = The number of sides on the polygon

For the pentagon, we have;

n = 5, therefore;

Interior angle = (5 - 2)×180°/5 = 108°

ΔDCA is an isosceles triangle, with the segments CD and CA being equal, therefore;

∠ADC = ∠DAC = x°, and ∠ACD = 108°

Therefore

x° = (180° - 108°)/2 = 36°

x° = 36°

∠BAC = 2·x° + y° = 108°

∴ y° = 108° - 2·x° = 108° - 2 × 36° = 36°

y° = 36°

ΔADE is an isosceles triangle, with segments AD and AE equal, therefore, the base angles are z° each

Therefore, in ΔADE, we have;

z° = (180° - 36°)/2 = 72°

z° = 72°

Answer:

32.5 ft

Step-by-step explanation:

Answer:160

Step-by-step explanation:

I think because it shows 160 feet all the way down as the 32 and 20 are only the height of the bridge

Answer:

The original price of the lawnmower is $ 1,528.

Step-by-step explanation:

If Reid's Hardware makes a 9% discount on cash payments, and Trey paid $ 1,390.49 for his lawnmower, to determine the initial cost of the same, the following calculation must be performed:

100 - 9 = 91

91 = 1,390.49

100 = X

(100 x 1,390.49) / 91 = X

139.049 / 91 = X

1.528 = X

Thus, the original price of the lawnmower is $ 1,528.

Answer:

00004.40 if you need to fill in every box. If not, 4 in front of the decimal, and a 4 after.

Answer:

Y= 60 seconds divided by X

This is exponential, if x were 1 , Y' d. be 60 seconds. X=2, Y= 60/2 = 30.

Step-by-step explanation:

LIKE UR MEME

Answer:

15.68×1.1 = 17.248 so if we see then it has 5 sig figs

Answer:

1. you dont add before you multiply

2 they didnt do the parenthesis first...which was their mistake

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

When you're dividing 2 numbers, the order of the negatives doesn't matter. As long as one of the numbers is negative, the result will be negative. Since the order of these numbers are the same (with 3 first and 4 second) they will have the same value.

Answer:

where is the pic............

Answer:

he worked 69 hours

Step-by-step explanation:

if u do 2070 divided by 30 u will get 69 and theres your answer

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

1 lb

Step-by-step explanation:

Picked up 3/5 and 4/5.

Used 3/8.

Amount now:

3/5 + 4/5 - 3/8 =

= 7/5 - 3/8

= 56/40 - 15/40

= 41/40

Answer: 1 lb

Answer:

  x=16

Step-by-step explanation:

Answer:2.66

Step-by-step explanation:

The z-score for this delivery time is 2.67

A z-score is defined as the fractional representation of data point to the mean using standard deviations.

Given,

Restaurant delivers orders within 30 minutes

The average delivery time for one restaurant is 27 minutes with a standard deviation of three minutes(ц) = 27

One particular order delivery took 35 minutes(X)= 35

ц = 27

σ = 3

X = 35

z-score = (X-ц )/σ

Substitute the values,

z-score =  (35-27 )/3

z-score = 8/3

z-score = 2.67

Hence, the z-score for this delivery time is 2.67.

Learn more about z-score

https://brainly.com/question/13793746

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Answer:

the answer is A on edge 2020

Step-by-step explanation:

hope this helped:)

Answer:

Your answer is A.

Step-by-step explanation:

Answer:

Brand A price per diaper: 0.3

Brand B price per diaper: 0.3

Brand B is the better buy.

This can be found by taking the price of each brand and dividing it by the amount of diapers in each pack.

ex:

$11.49 / 36 = $0.32 (then round to nearest tenth)

Answer:

A sandwich costs $6

Answer:

ans=6.5×10²

Step-by-step explanation:

ans =650=6.5×10²

Answer - 91.44

Step-by-step explanation:

3 feet = 36 inches

1 inch = 2.54 centimeters

2.54 x 36 = 91.44