Perform the indicated operations. Write the answer in standard form, a+bi.
(5-4i)(7-3i) =

Answer:

$10.75 x 3 1/2 = $37.625 (rounded to the nearest cent: $37.63). $10.75 x 5 = $53.75. $37.625 + $53.75 = $91.375. (rounded to the nearest cent: $91.38) hope this helps

Step-by-step explanation:

- Zombie

Answer:

let common difference be d.

a 18=a+17 d

a 14=a+13 d

a+17d - (a+13d) =32

a+17d - a - 13d =32

17d - 13d = 32

4d = 32

d=32/4

d=8

common difference=8

Step-by-step explanation:

(Brainliest if im correct?)

Answer: 27 and 18

Step-by-step explanation:

x - y = 9  → x = 9 + y

3y = 2x

3y = 2(9 + y)

3y = 18 + 2y

3y - 2y = 18

y = 18

2x = 3(18)

2x = 54

x = 27

x - y = 9

27 - 18 = 9

9 = 9

Answer:

y = 2x - 8    OR     4 - 2x = -4 - y

Step-by-step explanation:

Use the point-slope form m(x₁-x₂) = (y₁-y₂); m means slope

plug in your numbers:

2(2-x₂) = (-4-y₂)

4 - 2x = -4 - y

or to put it into Y=mx + b:

y = 2x + 8

Answer:

54

Step-by-step explanation:

you have to subtract 90 from 36

1 mile = 5,280 feet

Car + space = 13.5 + 3 = 16.5 feet

5,280 / 16.5 = 320

Answer: 320 cars

1 mile is equals to 5280 feet from this reference we will solve our question

total number of cars that can be on the mile section of the highway is = [tex]\frac{5280}{16.5}[/tex] cars = 320 cars.

There are some fundamental units which acts as the base of all other units derived from it and a single unit can be defined in many form for large and small magnitudes for our convenience.

In this question  car is 13.5 feet long and there is 3 feet distance between each car so the total space is (13.5 + 3) = 16.5 feet

So in 1 mile or 5280 feet the total number of cars that can be on the mile section of the highway is = [tex]\frac{5280}{16.5}[/tex] cars = 320 cars.

Learn more about units here :

https://brainly.com/question/11543684

#SPJ2

Answer:

11 and 12?

Step-by-step explanation:

the square root of 129 is about 11.35

Answers:

a.   T(4, -3)

b.   T(-6, 5)

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

Explanation:

The "T" stands for "translation" (not transformation; even though a translation is a type of transformation).

When we say something like T(3,-2), we mean "move 3 units to the right and 2 units down". The first coordinate handles left/right movement. Positive for right, negative for left. It's just like what you'd encounter on an xy grid system. The second coordinate handles the up and down motions (positive = up, negative = down).

The notation T(3,-2) is basically the same as writing the rule [tex](x,y) \to (x+3,y-2)[/tex]

------------------------

It's perfectly possible to chain multiple translations together. The goal is to get it as one translation instead of two separate ones.

As you can probably guess, the T(1,-1) will have the point move 1 unit to the right and one unit down.

If we add 1 unit to the right on top of the x+3, then we bump it up to x+4

If we subtract 1 unit from the y-2, then we get to y-3

So we would go from [tex](x,y) \to (x+3,y-2)[/tex]  to [tex](x,y) \to (x+4,y-3)[/tex]

This then condenses to the shorter notation T(4,-3)

It says "move 4 units to the right and 3 units down.

------------------------

An example is shown below involving the point (5,7).

The translation T(3,-2) moves point A to point B.

Then the translation T(1,-1) moves point B to point C.

We can directly move from A to C applying the translation T(4,-3).

------------------------

All of that above explained part (a). Part (b) is the same idea, but with different numbers. The order of translations doesn't matter.

Instead of repeating the same steps as above, I'll just talk about the shortcut.

If we had two translations T(a,b) and T(c,d) composited together, then they simplify to T(e,f) where e = a+c and f = b+d. It's as simple as adding the two corresponding coordinates.

So T(-4,0) and T(-2,5) combine to T(-6,5).

Answer:

324 ft

Step-by-step explanation:

1. We know there are 3 points (A, B, and C)

so far. We also know B is in the middle of A and C.

A----B----C

2. Reading further, post B is 2x as far from C as it is from A.

A----B----.----C

3. Now we know the numeral measurements of the entire stretch going from A to C (486ft).

A----B----.----C

<- 486ft ->

4. How far is point B from C??? Using the info we have, we need to break the total(486) into 3 parts.

A----B----.----C

1 2 3

5. When we divide or break 486 into 3, we get 162 ft. So each of those 3 dividing sections between A B and C are 162ft.

A----B----.----C

162 162 162

6. We know that the dividing section between B and C is double the dividing section between A and B. So, to conclude, you double 162 = 324.

7. Make sure to put it into the correct form to answer (ft) and there you go!

Hope I helped! :))

Answer:

a)1

b)3

c)0

d)2

Step-by-step explanation:

to find the degree of the polynomial just look at the exponents. The highest exponent you see is the answer. For polynomials with variable but no exponents (like in a) the degree is technically 1 for that expression. if there is just a digit with no exponent (like in c) then the degree is 0

Answer:

Tn=4n+1

4(100)+1

400+1

=401

Answer:

The goal scored by team A is [tex]10[/tex]

The goal scored by team B is [tex]15[/tex]

Step-by-step explanation:

Given

The total number of goals scored in a hockey game was 25.

Step 1 of 1

Let [tex]x[/tex] be the goal scored by team A.

Team B scored 5 more goals than team A.

Team B [tex]=x+5[/tex]

The total number of goals scored [tex]=25[/tex].

[tex]x+(x+5)=25[/tex]

[tex]2x+5=25[/tex]

[tex]2x=20[/tex]

[tex]x=10[/tex]

Goals scored by team A is [tex]10[/tex].

Goals scored by team B [tex]=x+5[/tex]

[tex]=10+5[/tex]

[tex]=15[/tex]

Learn more about linear equation, refer :

https://brainly.com/question/13863240

Answer:

y=0

Step-by-step explanation:

Horizontal Asymptote of the given function is :

[tex] \boxed{ \boxed{y = 0}}[/tex]

let's Calculate the limits :

[tex]lim \: \: {\tiny{x→∞}} \: \: \dfrac{(x+5)}{(x3+27)}=0 \\ \\ lim \: \: {\tiny{x→ - ∞}} \: \: \dfrac{(x+5)}{(x3+27)}=0  \\ \\ [/tex]

Therefore, the horizontal asymptote is y = 0

Answer:

The answer is 7

Step-by-step explanation:

Answer:

The answer is 7.

Step-by-step explanation:

hopefully it helps you

Answer:

m=D x V

or M=DV

Step-by-step explanation:

first step is to cross multiply so that M can stand alone

Answer: MUV OR VUM

Step-by-step explanation:

It is a line so anyway you name it is fine as lomg as its in it's respected order.

Answer:

Symbol=line

It has 3 points

it's got letters at the points

Answer:

ok hrdghsfbvc utdfhsfjfefhgv jrhhffhfdg

Answer:

which type of question is this dude

Answer:

so,we have to find the value of X

Step-by-step explanation:

4x-5=7+4

4x=7+4+5

or,4X=16

or,x=16/4

or,x=4

the value of x is 4

Answer:

11. a) 56.5

11. b) 254.5

Step-by-step explanation:

a). 2 × 3.14 × 9 = 56.52

= 56.5

b). 3.14 × 9^2 = 254.47

= 254.5

Answer:

21.67 times

Step-by-step explanation:

Answer:

21 with a remainder 6

Step-by-step explanation:

Answer:

18.84ft

Step-by-step explanation:

The formula for circumference is [ C = 2πr ].

= 2π(3)

= 6π

= 18.84

Best of Luck!

t= 86degree 86+86+30+Qdegre= 360 degree add Q×2 that's all

Answer:

[tex]z=-2[/tex]

Step-by-step explanation:

[tex]5 - 5z = 15[/tex]

Subtract 5 from both sides:-

[tex]5-5z-5=15-5[/tex]

[tex]-5z=10[/tex]

Divide both sides by -5:-

[tex]\frac{-5z}{-5}=\frac{10}{-5}[/tex]

[tex]z=-2[/tex]

OAmalOHopeO

Answer:

z=-2

Step-by-step explanation:

5-5z=15

-5z=15-5

-5z=10

z=10/-5

z=-2

g(x) = |¼x + 3|

Step-by-step explanation:

f(x) = |x+3|

horizontal stretch 4

g(x)

⬇️

g(x) = |¼x + 3|

A function g whose graph represents a horizontal stretch by a factor of 4 of the graph of f(x)=|x+3| will be g(x) = |¼x + 3|

A graph contains data of which input maps to which output.

An Analysis of this leads to the relations which were used to make it.

If the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We have to Write a function g whose graph represents a horizontal stretch by a factor of 4 of the graph of f(x)=|x+3|.

f(x) = |x+3|

Now, horizontal stretch 4

g(x) = |¼x + 3|

Learn more about finding the graphed function here:

https://brainly.com/question/27330212

#SPJ2