Which of the following is the conjugate of a complex number with 5 as the real part and −2i as the imaginary part?Answers:

5 + 2i

−5 − 2i

−5 + 2i

5 − 2i

Answers

Answer 1

Answer:

Answer: the correct option is

(A) 5 + 2i.

Step-by-step explanation: We are given to select the complex number that is the conjugate of a complex number with 5 as the real part and −2i as the imaginary part.

We know that

a complex number z can be written as

z = a + bi, where a is the real part and bi is the imaginary part.

According to the given information, we have

a = 5 and b = -2i

So, z = 5 - 2i.

Therefore, the conjugate of z is given by

$\bar{z}=5+2i.$

Thus, the required conjugate number is 5 + 2i.

Option (A) is CORRECT.

Answer 2

Answer: 5+2i. You only have to change the operation of the original expression, not the signs (positives and negatives) of each term.

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Choose all statements true!A. 7 qt and 4 cups > 34 cups
B. 20 fl oz > 3 cups
C. 70 pints = 35 quarts
D. 5 gallon < 21 quarts
E. 47 pt < 6 gallons

Please help me and my brother please! <3

Answers

Answer:

C. 70 pints = 35 quarts

D. 5 gallons < 21 quarts

E. 47pt < 6 gallons

Step-by-step explanation:

There is 35 quarts in 70 pints, therefore being equal to it

There are 20 quarts in 5 gallons so 21 quarts is greater

6 gallons has 48 pints so it's more than 47 pints

If a student spent a total of $83 on tickets ,how many tickets did he buy.? using this funtion below "c=24.50t 9.50

Answers

83=24.50(x)+9.50
83.00-9.50=73.50=24.50x
73.50/24.50=x
x=3 tickets
Your welcome =)

If log10(x^2y^3) =7 and log 10(x/y) =1 then x = blank and y= blank

Answers

From the second equation we get
$(x)/(y) =10$
Faim the first equation we get:
$x^2y^3=10^7$
We have $x=10y$ then
$(10y)^2y^3=10^7\ny^5=10^5\ny=10$
Then $x=10y=100$

For which system of equations is (2, 2) a solution?a. –3x + 3y = 0 x + 6y = 10
b. –2x + 5y = –6 4x – 2y = 4
c. 5x – 2y = –6 3x – 4y = 2
d. 2x + 3y = 10 4x + 5y = 18

Answers

Plug the values (x,y)=(2,2) into the equations and check if they satsify them.

a.
$-3x+3y=0 \nx+6y=10 \n \n\hbox{the first equation:} \n-3 * 2+3 * 2=0 \n-6+6=0 \n0=0 \ntrue \n \n\hbox{the second equation:} \n2+6 * 2=10 \n2+12=10 \n14=10 \nfalse \n \n\hbox{(2,2) satisfies only one of the equations} \n\hbox{so it's not a solution to the system of equations}$

b.
$-2x+5y=-6 \n4x-2y=4 \n \n\hbox{the first equation:} \n-2 * 2 + 5 * 2=-6 \n-4+10=-6 \n6=-6 \nfalse \n \n\hbox{the second equation:} \n4 * 2-2 * 2=4 \n8-4=4 \n4=4 \n true \n \n\hbox{(2,2) satisfies only one of the equations} \n\hbox{so it's not a solution to the system of equations}$

c.
$5x-2y=-6 \n3x-4y=2 \n \n\hbox{the first equation:} \n5 * 2 - 2 * 2=-6 \n10-4=-6 \n6=-6 \nfalse \n \n\hbox{the second equation:} \n3 * 2 - 4 * 2=2 \n6-8=2 \n-2=2 \nfalse \n \n\hbox{(2,2) satisfies none of the equations} \n\hbox{so it's not a solution to the system of equations}$

d.
$2x+3y=10 \n4x+5y=18 \n \n\hbox{the first equation:} \n2 * 2 + 3 * 2=10 \n4+6=10 \n10=10 \ntrue \n \n\hbox{the second equation:} \n4 * 2 + 5 * 2 =18 \n8+10=18 \n18=18 \n \n\hbox{(2,2) satisfies both of the equations} \n\hbox{so it is a solution to the system of equations}$

The answer is D.

A truck rental company rents a moving truck for one day by charging $29 plus 0.07 per mile.(a) Write a linear model that represents the cost based on the numbers of miles driven in a day.

(b) What is the cost of renting the truck has driven 230 miles?

Answers

y = .7x + 29

x = miles driven and, y = total cost of renting the truck

ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2). Find the coordinates of A' and R' under this translation. A' (4, −2); R' (2, −1) A' (−2, 2); R' (2, −2) A' (2, −1); R' (4, −2) A' (−1, 0); R' (−2, 2)

Answers

For the answer to the question above asking to find the coordinates of A' and R' under this translation if ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2).
The answer is to the question above is A' (2, -1); R' (4, -2)
I hope my answer helped you. Have a nice day!

Answer:

A' (2, -1); R' (4, -2)

Step-by-step explanation:

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