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[tex]-3a^3(7a^4 - 5a + 5)\\\\=-21a^7+15a^4-15a^3[/tex]

Answer:

See image

Step-by-step explanation:

These are "complex numbers" because they have the imaginary number, i, in the expression.

The 9 (and the -9) is the real part and the 3i is the imaginary part. But when you add or subtract, multiply or divide them you can manipulate them just as if the i was a variable (like x or n or y) If you learned to multiply

(x+2)(x+5)

= x^2 + 7x + 10

This problem will work the same way. You may have learned "FOIL" or using a box to multiply two binomials (two-piece things like x+2)

**SUPER IMPORTANT NOTE: i^2 is equal to -1

These particular complex numbers are called conjugates which means they have the same 'pieces' the 9 and the 3i, with only one sign different. So there is a short cut for this problem and the imaginary number falls out and we get a real number answer. This doesn't happen for every question, only when you multiply conjugates, but the method shown here works for multiplying complex numbers all the time.

Answer:

Past tense

Step-by-step explanation:

The verb ("made") is in the past tense.

Hope this helps :)

Answer: The two specific conjectures are in the first image, and the two general conjectures are in the second image.

Answer:

-4

Step-by-step explanation:

23+1=24

24/-6=-4

Let's get it done !

Answered by : " Unknown "

Answer:

55:5 for the second one, 121:11 for the second one

Step-by-step explanation:

Answer:

55 and 121

Step-by-step explanation:

22/2=11

11=1

11*5=55

11*11=121

Answer:

he is incorrect

Step-by-step explanation:

it's wrong because it doesn't make sense

Answer:

$4, 116.66 times 35%=1,440.83 is the answer.

Step by step equation:

The agency fee is 35% of one months payment ($4,116.66) or ($1,440.83)

all you had to do is 49,400 divided by 12 months and you get $4,116.66 and then you times that by 35% and you get $1,440.83

Answer:

Step-by-step explanation:

Answer:

I believe the equation would be: y=3/2x-20

Step-by-step explanation:

This is true because, first you would need to find the slope from the equation, which is -2/3. But, for perpendicular, you would need to make it the exact opposite (which is this case would leave you with a slope of 3/2)

Ex: if you had -3/4, the slope for one that is perpendicular would be 4/3 (exact opposite)

After finding the slope, you take the points (6,-11) and plug it into the equation "y-y1=m(x-x1)"

y-y1=m(x-x1)

y+11=3/2(x-6)

-distribute the 3/2-

y+11=3/2x-18/2

y+11=3/2x-9

-subtract 11 on both sides-

y=3/2x-20

Im not sure if all calculations are correct, but I hope this helps! :)

Answer:

Answer:

safe speed for the larger radius track u= √2 v

Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

r_2= larger radius curve

r_2= 2r_1..............i

let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=

r

1

mv

2

=

r

2

mu

2

................ii

form i and ii we can write

v^2= \frac{1}{2} u^2v

2

=

2

1

u

2

⇒u= √2 v

therefore, safe speed for the larger radius track u= √2 v

Answer:

Step-by-step explanation:

Answer:

Lets say a is adult tickets and s is student tickets. for dalias family its:

5a + 2s = 65

for shay

3a + 6s = 69

-15a -6s = -195

-15a = -195

Step-by-step explanation:

Answer: 76 = 4g

Step-by-step explanation:

76 is the product of Greg's savings and 4 can be represented as 76 = 4g

Answer:

18f+6

Step-by-step explanation:

Answer:

your answer would be B.

Step-by-step explanation:

for this fraction equation all you need to do is round the 2 up to a 8 putting it at 4/8, round the 4 up to a 8 putting it at 2/8, and keep the 1/8 the same. then add them all together and you would get 7/8

Answer:

b 7/8

Step-by-step explanation:

your gonna change everything to eights

Answer:

25 days

Step-by-step explanation:

lets the blank = x

Convert 72% to decimal: 0.72

0.72x = 18

x = 18/0.72

x = 25

-Chetan K

From the graph, the solutions of the function represents the instants in which the ball hits the ground.

In the graph, we have that:

The solutions are x = 1 and x = 5, which represents the instants in which the ball is in the ground.

For a similar problem, in which we find the times in which an object hits the ground, you can check https://brainly.com/question/16840613

Answer:

2.6795

Step-by-step explanation:

Just ask! :)

(✿◡‿◡) HAPPY HOLIDAYS!!!

Answer:

2.6795

Step-by-step explanation:

Answer:

because AB//DE

so DÊC=BÂC ( 2 straight lines are parallel and have the same internal angle)

because ACD is the outer angle of the triangle ABC so ACD= ABC+BÂC

because DÊC=BÂC

so ACD= ABC+ DÊC

The polynomial is

[tex] {4x}^{2} - 3x + 7[/tex]

So, the given polynomial is a polynomial in one variable.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

A solid line.

Step-by-step explanation:

The line would be dashed if it was either a < or > sign, but the line is dashed when it is just a < or > sign.

Step-by-step explanation:

the answer is Dashed Line

Answer:

11 is B then 12 is D

Hoped that helped:P

Answer:

okay for the buying vegetables problem. It wants us to write an equation in ST that gives us enough. The amount of pounds of cauliflower Capital C is our first very bold and broccoli bee is our second variable. So Capital C that says Karl Power costs $2 per pound so we can write to see and then broccoli is a dollar 25 per pound. So plus a dollar 25 times being is equal to the total cost that we spent. And the total we spent was $10. Okay, so there's our equation and standard corn. Thank you.

[tex]a(n) = ({n + 1})^{2} - 1[/tex]