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

Answer:

Step-by-step explanation:

1500 + (1500 : 100 × 4)

= 1500 + (15 × 4)

= 1500 + 60

= 1560

hi <3

it would be 0.8

hope this helps :)

Answer:

356

Step-by-step explanation:

Next two terms = 11 + 3 = 14

14 + 3

The rule is that the number is increasing by 3 in each term.

n th term = 2 + (n - 1)3

119 term

2 + (119 - 1)3

2 + (118)3

2 + 354

356

Answer:

Explanation:

Answer:

y = x + 3

Hope it helps!!!!

Answer:-10

Step-by-step explanation:

Formula for mid point is :

Mid point = ( (x1+x2)÷2 , (y1+y2)÷2) )

So, X1 = 4

X2 = X

Y1 = -2

Y2 = y

Now, use the formula

(-3,1) = ( (4 + x)÷2 , (-2+y)÷2) )

Now divide the sides for yourself to solve for midpoint for X and y separately

-3 = (4+x) ÷ 2 and 1 = (-2+y) ÷ 2

This is because 3 is the x coordinate of the mid point of A and B , so we equate it to (4+x) ÷ 2 because this expression basically gives us the x coordinate of mid point of A and B. So we already have the x coordinate of midpoint which is -3 so we can use this to find X coordinate of point B

So then we solve it by multiplying the 2 with -3 which gives -6

-6 = 4+X

Shift 4 on the other side and it will become negative 4

-6-4 = X

X = -10

Answer:

B (-10,4)

Step-by-step explanation:

Given A (4,-2) and midpoint M (-3,1) we can find equation of the line

y = mx +b

slope m = raise / run

m = (y1 - y2) / (x1 - x2)

m = (-2 - 1) / (4 - -3)

m = -3 / 7 = -3/7

given the midpoint M, then point B (x,y) must have the same length and slope as AM. So point B must have twice the rise and twice the run.

Slope was -3/7 so segment AB must be 2(slope) = -6/14, so from point A, point B will be from A (4,-2)

raise = y1 - y2 = -6

-2 - y2 = -6

-y2 = -6 + 2

y2 = 4

run = x1 - x2 = 14 = 4 - x2

14 - 4 = -x2

x2 = -10

Answer:

Tatal volume of buckets = 60 l

leakage = 0.5 l /h

So total time taken = 60/0.5

= 120 h

so number of days = 120/24 = 5days

Step-by-step explanation:

plz mark me as brainliest ❤️

Answer:

see the photo ............

Answer:

5 weeks

Step-by-step explanation:

5 , 10 , 15, 20, 25 , 30, 35

1,    2,   3,   4,   5,    6,   5

Answer:

494,615

Step-by-step explanation:

Strategy 1.

Line up 5,819 on the top, and 85 on the bottom. Multiply 9 x 5, and if there are any carry-ons, put them above the top line of numbers. Once done with multiplying the top by 5, go under the line and write a 0. Then continue to multiple with 8, in the same way. Then add the top and bottom line (your answers), and you should get 494,615.

Strategy 2.

Use a calculator.

Answer:

6

Step-by-step explanation:

AB+BC=AC

3x + 4x = 42

7x = 42

x = 42/7

x = 6

Answer:

a) language

b) 2/15

Step-by-step explanation:

For the first part, you can start by making the denominators same

you take the LCM of 3 and 5 which is 15

Language books are now 10/15 since you multiply the nominator and denominator by 5

While science books are 3/15

10/15 : 3/15 making it obvious that language books are more

if the remaining are math books then

total books - (language + science books) = math books

10/15 + 3/15 = 13/15 (non math books)

15/15 - 13/15 are math books making 2/15 of them math books

Answer:

See below.

Step-by-step explanation:

Cos O is positive in the first and 4th quadrants and sin O is negative in the 3rd and 4th quadrants.

So the answer is Quadrant 4.

cos^2 O = 1 - sin^2 O

= 1 - (-3/5)^2

= 16/25

So  cos O  is +√(16/25)

= 4/5.

Step-by-step explanation:

Since b2 is certainly positive, that means a2 is certainly negative, which is impossible. √−1=i is an imaginary number, not lying anywhere on the real number line. Therefore as others have said, it is neither rational nor irrational in the usual senses of those words.

Answer:

No, you would get -1

Step-by-step explanation:

Square root of 1 is 1

If the negative was IN the square root, it would be imaginary.

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Hey there!

Convert the fraction to decimals.

-3/5 = -0.6

-0.6 < -0.4

Hence, -3/5 is not equal to -0.4.

Answer = NO

Hope it helps ya!

Answer:

write in the correct form please!

Answer:

Number 3.14 is rational number

Angles DUT and VUD sum to VUT. We can create an equation to model this.

DUT + VUD = VUT

Now, let's plug our values into the equation.

24x + 5 + 46 = 35x - 4

Simplify the left side.

24x + 51 = 35x - 4

Subtract 24x from both sides and add 4 to both sides.

55 = 11x

Divide both sides by 11.

5 = x

Answer:

15*20=300

Step-by-step explanation:

15*40=600

40 is a multiple of 20.

Hope it helped! Please mark Brainliest:-)

Answer:

60 and 120

Step-by-step explanation:

The common multiples are 60 and 120

Answer:

0<r<4

Step-by-step explanation:

-8<8-4r<8

Subtract 8 from each side

-8-8<8-4r-8<8-8

-16<-4r<0

Divide by -4, remembering to flip the inequality

-16/-4>-4r/-4>0/-4

4>r>0

Rewriting

0<r<4

Step-by-step explanation:

supplement means their addition is equal to 180°

since m<x and m<y are supplement then m<x+m<y=180

and <y supplement to <z (their addition equals to 180°)

since m<y and m<z are supplement then m<y+m<z=180

m<x+m<y= m<y+m<z

m<y cancelled

m<x= m<z

_________________

FOR EXAMPLE

Given that <x and <y are supplement

and <y and <z are supplement

if <x= 45°

that means that <y = 135°

so that <x +<y = 180°

45+135= 180 ✓

and <y and <z are supplement

m<y+ m<z = 180°

then m<z= 45°

m<x+m<y= m<y+m<z

m<x +135= 135+m<z

then m<x= m<z = 45°

9514 1404 393

Answer:

  C.

Step-by-step explanation:

The transformation ...

  g(x) = f(ax)

represents a horizontal compression of the graph by a factor of 'a'. Here, the original function graph is compressed by a factor of 3 horizontally, so the curve will look a lot narrower.

The appropriate choice is C.

Answer:

Step-by-step explanation:

Jenn is the fastest swimmer.

Time and speed is inverse proportion. If speed is more, the time taken will be less. So, who takes less time will be the fastest swimmer

We can tell from the table that Jenn is the fastest swimmer. She has the lowest time and fastest speed

Answer:

w = 8000

Step-by-step explanation:

5(w+4*10^3) = 6(10^4)

5(w+4*1000) = 6(10000)

5(w+4000) = 60000

5w + 20000 = 60000

5w = 40000

w = 8000

Answer:

I believe it's x^2=y but I could be wrong

Step-by-step explanation:

Answer:

it is c

Step-by-step explanation: