4

Ramon was asked to write the quotient 3 - i

in the

a + bi form. He began this way:

(3-i)

(3-i)

4(3-i)

(3² + (²)

112 - 41)

9 - 1

(12 - 4i)

8

11

(3-i)

2

Find Ramon's error and correct it (algebraically or in

words) so that he arrives at the accurate final solution.

Answer:

D. r  ≤  − 1

good luck, i hope this helps :)

Answer:

Step-by-step explanation:

Hello,

1. Follow PEMDAS, for instance, which is Parentheses, Exponents, Mult., Div., and so on.

This will help you simplify on each side of the inequality sign.

2. Signs of inequalities will switch (> becomes <, and < becomes >) when dividing by a negative number on both sides of an inequality.

Try to work with this first. If you need more help, let me know.

Answer:

Slope: -6 Y-intercept: -4

Step-by-step explanation:

You have to put the 4 on the same side as the expression so that y-6x-4=0 so the -6x is the slope and the -4 is the y-int because of y=mx+b

Answer:

[tex]\boxed {\boxed {\sf a= 705.6 \ units^2 }}[/tex]

Step-by-step explanation:

Since we are given the central angle in radians, we should use this formula for the sector area:

[tex]a=\frac{1}{2}r^2 \theta[/tex]

where r is the radius and θ is the angle in radians.

The radius is 14 units and the angle is 7.2 radians.

[tex]r= 14 \ units \\\theta= 7.2[/tex]

Substitute the values into the formula.

[tex]a= \frac{1}{2} (14 \ units)^2 (7.2)[/tex]

Solve the exponent.

[tex]a=\frac{ 1}{2} (196 \ units^2)(7.2)[/tex]

[tex]a=\frac{ 1}{2}(1411.2 \ units^2)[/tex]

Multiply by 1/2 or divide by 2.

[tex]a= 705.6 \ units^2[/tex]

The area of the sector is 705.6 square units.

Answer:

Step-by-step explanation:

3(2+(2/3))+x=18

3(8/3)+x=18

(24/3)+x=18

8+x=18

x=10

He must run another ten miles.

Answer:

10.88

Step-by-step explanation:

3 * 2 3/8 = 6 9/8 = 7 1/8 miles

Answer:

6 a - 13 b - 21 c - 13 d - 29 e -29 f - 122

y=15 and x=3

Step-by-step explanation:

Answer:

congruent

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

It's very easy.

4×4=16

Answer:

7 im guessing, thats what i got anyway

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The equation [tex]y=5x+10[/tex] is given in slope-intercept form. Slope-intercept form is a way of writing the equation of a line in the format [tex]y=mx+b[/tex], such that the coefficient of the parameter (x) is the slope, and constant (b) is the y-intercept. What that essentially means is,

[tex]y = mx + b\\\\m=slope\\b = y-intercept.[/tex]

The slope of a line is its rate of change, and the y-intercept is where the graph of the line intersects the y-axis. One can apply this knowledge here by saying that, the equation [tex]y=5x+10[/tex] is given in the slope-intercept form, and the coefficient ([tex]m[/tex]) equals ([tex]5[/tex]), therefore the slope is ([tex]5[/tex]).

Answer:

105/104

Step-by-step explanation:

you divide 315 divided by 312 and you get 105/104.

to check it you do 312 times 105/104 and you get 315 to be your answer! Hope this helps ;)

105/104 times the number 315 bigger than the number 312.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

The given numbers are 315 and 312.

Number of times 315 is bigger compared to 312 is

315/312

= 105/104

Hence, 105/104 times the number 315 bigger than the number 312.

Learn more about the multiplication here:

https://brainly.com/question/1562995.

#SPJ3

Answer:

55

Step-by-step explanation:

.20*55=11-3=8

Answer:

8

Step-by-step explanation:

Answer:

It is 2

Step-by-step explanation:

The greatest common factor is 2 because 2×16=32

also works for 24 because 2×24=48

then yes it works again for 2×12=24

division is also very helpful

Answer:  19 people will be represented by an angle 152 degrees.

Step-by-step explanation:

Set up a  proportional relationship to solve for this

[tex]\frac{360}{152} = \frac{45}{y}[/tex]        Cross multiply

360y = 6840   Divide both sides by 360

y =  19

m=2

y=7

m=10

a=28

t=65

h=8

Answer:

m=2

y=7

m=10

a=28

t=65

h=8

Step-by-step explanation:

Answer:

the measure of the angle is 72

x=36

Step-by-step explanation:

we can make an algebraic equation using the info given

2x+80=152

2x=72

x=36

the measure of the angle is 72

Answer:

x = 36, the measure of the angle is 72

Step-by-step explanation:

We can see this because Angle 2x and Angle 72 are verticle angles. Based on this information we know that verticle angles are congruent to each other, meaning the are the same. So that leaves us with an equation to figure out x.

2x = 72

[tex]\frac{2x}{2}[/tex] = [tex]\frac{72}{2}[/tex]

x = 36

9514 1404 393

Answer:

Step-by-step explanation:

1. I find it convenient to use variable names that remind me what they stand for. Here, we can use "j" to represent Joanne's earnings, and "e" to represent Erin's earnings.

  j = 57 . . . . . Joanne earned $57

  j = (7/8)e -13 . . . . . Joanne's earnings were $13 less than 7/8 of Erin's

Substituting for j, we get one equation for Erin's earnings

  57 = (7/8)e -13

Using 'x' for Erin's earnings, this is ...

  57 = (7/8)x -13

__

2. We can solve the equation as follows:

  70 = 7/8x . . . . . . add 13

  80 = x . . . . . . . . . multiply by 8/7

Erin earned $80 in tips.

Answer:

Step-by-step explanation:

57 = ⅞x - 13

x= 70(8/7) = $80

Answer:

Hannah = 20, Sal = 4

Step-by-step explanation:

Total number of sweets = 24

Ratio in which the sweets was shared;

Hannah : Sal = 5 : 1

Hannah gets:

Hannah = 5 / ( 5+1)  * 24 = 5/6  * 24 = 5 * 4 = 20

Sal gets:

Sal = 1 / ( 5+1)  * 24 = 1/6  * 24 = 1 * 4 = 4

Answer:

I’m answering so the other peep can get brainliest she’s correct I think I’m pretty sure I think so thx for points have a great day byee

Step-by-step explanation:

Answer:

Step-by-step explanation:

600/40 = $15 an hour

double: $30 an hour

30 x 14 = 420

600 + 420= $1020 for the week

Answer: 24 square inches

Step-by-step explanation:

To get the whole area Multiply length x width

12 x 7 = 84

Now we get the area of the space in the rectangle

6 x 5 = 30 and multiply that by 2 since there are 2 spaces

in the rectangle.

30 x 2 = 60

84 - 60 = 24

Answer:

8/15

Step-by-step explanation:

(2/5)/(3/4)=(2/5)(4/3)=8/15

Answer:

0.53

Step-by-step explanation:

I used a calculator :)

Answer:

20x simplified

4x(2+3) factored