an exercises 4-7, find the values of X and Y to satisfy the equation​

An Exercises 4-7, Find The Values Of X And Y To Satisfy The Equation

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Equate the values on the left to like values on the right side

4

4x + 2i = 8 + yi , then

4x = 8 ⇒ x = 2

y = 2

Then x = 2, y = 2

5

- 10x + 12i = 20 + 3yi , then

- 10x = 20 ⇒ x = - 2

3y = 12 ⇒ y = 4

Then x = - 2, y = 4

6

2x - yi = 14 + 12i , then

2x = 14 ⇒ x = 7

- y = 12 ⇒ y = - 12

Then x = 7, y = - 12

7

54 - [tex]\frac{1}{7}[/tex] yi = 9x - 4i , then

9x = 54 ⇒ x = 6

- [tex]\frac{1}{7}[/tex] y = - 4 ( multiply both sides by - 7 )

y = 28

Then x = 6, y = 28

Answer 2

Answer:

4x + 2i = 8 + yi , then

4x = 8 ⇒ x = 2

y = 2

Then x = 2, y = 2


Related Questions

Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution

Answers

Answer:

Disagree

Step-by-step explanation:

[tex]3.67 = c - 2.13 \\ 3.67 + 2.13 = c \\5.8 0 = c[/tex]

What is the z* critical value for constructing a 99% confidence interval for a proportion?

Find the z-table here.

1.65
1.96
2.33
2.58

Answers

Answer:

2.576

Step-by-step explanation:

The Z critical value for constructing a 99% confidence interval for a proportion is 2.58.

What is a z-score?

A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.

For the given situation,

The confidence interval for a proportion = 99% = 0.99

Area to the left of a positive Z score in this standard normal distribution table is

⇒ [tex]\frac{1+confidence level}{2}[/tex]

⇒ [tex]\frac{1+0.99}{2}[/tex]

⇒ [tex]\frac{1.99}{2}[/tex]

⇒ [tex]0.995[/tex]

The corresponding Z score in the table for 0.995 is

⇒ [tex]2.5+0.08[/tex]

⇒ [tex]2.58[/tex]

Hence we can conclude that the Z critical value for constructing a 99% confidence interval for a proportion is 2.58.

Learn more about Z-score here

https://brainly.com/question/15349060

#SPJ3

Y=-x? - 8x - 17
Axis of Symmetry:
Vertex:
Domain:
Range:

Answers

It’s 45 and it’s also 2

Ben made 12 pizzas with two packets of flour. With five packets of flour, how many pizzas can ben make

Answers

Answer:

30

Step-by-step explanation:

the ratio is 1:6

Answer:

30 pizzas

Step-by-step explanation:

1 packet makes 6 pizzas, so you would just multiply 6 pizzas by 5 packets of flour to get 30

Which equation defines the graph of y=x^2 if it is shifted vertically 3 units up, and horizontally 2 units right

Answers

That like nomes and like 3 v 2h 25

−3x>24 solve the inequality

Answers

Answer:

x < -8

Step-by-step explanation:

−3x>24

Divide each side by negative 3, remembering to flip the inequality

-3x/-3 < 24/-3

x < -8

Answer:

x<-8

Step-by-step explanation:

−3x>24

Multiply both sides by (-1) (reverse the inequality)

(-3x)(-1)<24(-1)

Simplify;

3x<-24

Divide both sides by 3

3x/3<-24/3

Simplify

3x/3<-24/3

Simplify; 3x/3

=x

Simplify; -24/3

Divide the numbers;24/3=8

=-8

x<-8

Hope this helped!!!

8 + 5x -3 -x
Please can someone tell me the answer for this?

Answers

Answer:

the answer is 5+4× and ur welcome

Answer: 4x + 5

Step-by-step explanation:

sorry if that's

not the answer you're looking for.

One hundred volunteers who have agoraphobia (fear of open and crowded space) are available for a study. Fifty are selected at random and are given the drug imipramine, which is believed to be effective in treating agoraphobia. The other 50 are given a placebo. A psychiatrist evaluates the symptoms of all volunteers after two months to determine if there has been substantial improvement in the severity of their symptoms.
What type of study is this?
A. Matched pair design
B. Observational study
C. Completely randomized block design
D. Completely randomized design

Answers

Answer:

D. Completely randomized design

Step-by-step explanation:

Based on the description given about the experiment above and the manner in which the subjects were assigned to each of the treatment groups available, we can deduce that the study was conducted using a completely randomized design. The subjects weren't matched or blocked for any variable such as sex, height, age or any other variable. They were just evenly split randomly into the two available treatment levels ( those who receive the treatment and the placebo) group. With this design, all subjects have an equal chance of being in any of the two groups and the selection bias is almost totally eliminated using this sort of design as errors are being considered as arising from experimental faults.

Find the length of each trapezoid.

Answers

Answer:

EF = 19

Step-by-step explanation:

EF = (23 + 15)/2 = 19

Can someone please help me with this

Answers

Answer:

39 sq inches

Step-by-step explanation:

39 square inches

You need the area of the square base
Area = side^2
A = 3 x 3 = 9

And the 4 triangle sides.
Area of a triangle = 1/2(base)(height)
a = 1/2 (3)(5) = 7.5

We have 4 of those triangles on this shape
4 x 7.5 = 30

Add the triangles to the base for goal surface area
30 + 9 = 39 square inches

f(x)=3x^2 for f(3)
f(x)=3(2)^x for f(3)

Answers

Step-by-step explanation:

[tex]f(3) = 3 \times {3}^{2} = 27 \\ f(3) = 3 \times {2}^{3} = 24[/tex]

Find the circumference of the circle and round to the nearest tenth

Answers

Answer:

circumference of circle = 2×pi×r

circumference of circle =2×3.14×2.8 mi

circumference of circle =17.584 mi

4,843 divided by 44?

Answers

Answer:

110.068181818

Step-by-step explanation:

Need answers quickly!

i posted a photo above for the questions. Please help me.




Question 1
Angles 1 and 6 are..
Vertical Angles
Alternate interior angles
Opposite angles
Supplementary angles

Question 2
Angles 1 and 3 are...
Alternate exterior angles
Corresponding angles
Similar angles
Vertical angles

Question 3
Angles 2 and 7 are..
Supplementary
Corresponding
Adjacent
Alternate interior

Question 4
Angles 11 and 15 are
congruent
supplementary
alternate exterior
similar

Question 5
Angles 4 and 7 are..
Supplementary
Complementary
Congruent
Skew

Question 6
if the measure of angle 10 is 74 degrees then the measure of angle 14 is?
26 degrees
53 degrees
106 degrees
74 degrees




Answers

Answer:

1) vertical angles

2) corresponding angles/

3) alternate interior

4) supplementary

5) congruent

6) 196°

Step-by-step explanation:

1) vertical angles

2) corresponding angles/

3) alternate interior

4) supplementary

5) congruent

6) 196°

Help plz I don’t understand

Answers

Answer:

600 m²

Step-by-step explanation:

Area = 3.14 × 14 × 14 = 615.44

rounding off :

600 m²

Will mark brainliest for area.

Answers

Answer:

c

Step-by-step explanation:

first, find the area of the rectangle thing,

A = lw

14 x 8

112

but, there is a semicircle in it so you need to subtract that from it:

A = πr^2/2

A = π(4)^2/2

A = π16/2

A = 8π

A ≈ 25.132741228718346

then subtract that area from the area of the rectangle:

112 - 25.132741228718346

86.867258771281654

or about 89.9

Below, the two-way table is given for a class of students. Freshmon Sophomora fontores Seniors Male 4 6 2 2 Female 3 4 6 б 3 Total If a student is selected at random, find the probability the student is a junior. Round to the nearest whole percent.​

Answers

Answer:

22% probability the student is a junior.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes:

The table says that:

There are 4 + 6 + 2 + 2 + 3 + 4 + 6 + 6 + 3 = 36 total students.

2 + 6 = 8 are juniors.

If a student is selected at random, find the probability the student is a junior.

8/36 = 0.2222 = 22.22%

Rounding to the nearest whole percent, 22% probability the student is a junior.

Answer:

27%

Step-by-step explanation:

Can someone help me pls

Answers

Answer:

[tex] \boxed{ m \overset{\huge\frown}{EFC} \: = \: 237°} [/tex]

Explanation:

Assuming that [tex] \overline{CF} [/tex] is a diameter, and that the angle of an arc subtending the central angle is congruent, [tex] m \overset{\Large\frown}{CGF} \: = \: 180° [/tex].

And according to the arc addition postulate, [tex] \overset{\Large\frown}{CG} + \overset{\Large\frown}{GF} \: = \: \overset{\huge\frown}{CGF} [/tex].

Using the substitution property:

[tex] \overset{\Large\frown}{CG} + \overset{\Large\frown}{GF} \: = \: 180° [/tex].

Given that [tex] m\overset{\Large\frown}{CG} \: = \: 140° [/tex].

Using the substitution property and that the measures apply to the arc addition postulate, [tex] 140° + m\overset{\Large\frown}{GF} \: = \: 180° [/tex].

[tex] 140° – \: 140° + m\overset{\Large\frown}{GF} \: = \: 180° – \: 140° [/tex].

[tex] m\overset{\Large\frown}{GF} \: = \: 40° [/tex].

Since [tex] \overset{\Large\frown}{GF} [/tex] and [tex] \overset{\Large\frown}{CD} [/tex] are subtending the center of the circle, they form vertical angles and are therefore congruent.

[tex] \overset{\Large\frown}{GF} \: \cong \: \overset{\Large\frown}{CD} [/tex]

According to the definition of a vertical angle, [tex] m \overset{\Large\frown}{CD} \: = \: 40° [/tex].

Using the arc addition postulate again,

[tex] \overset{\Large\frown}{CD} + \overset{\Large\frown}{DE} + \overset{\Large\frown}{EF} \: = \:\overset{\huge\frown}{CDF}/\overset{\huge\frown}{CEF} [/tex]

Using substitution, as well as how we are given that the central angle subtended by [tex] \overset{\Large\frown}{DE}[/tex] = 83°, we can find that:

[tex] 40° + 83° + \overset{\Large\frown}{EF} \: = \:\overset{\huge\frown}{CDF}/\overset{\huge\frown}{CEF} [/tex]

please with the mathematics ​

Answers

1.)1/6

2.)1 5/10

3.)2 6/7

4.)2

5.)1 7/12

6.)2 4/5

7.)1/12

with like denominators you can just add or subtract freely just the top numerators

Answer:

1.)1/6

2.)1 5/10

3.)2 6/7

4.)2

5.)1 7/12

6.)2 4/5

7.)1/12

Step-by-step explanation:

Kevin
makes $78.37 per day. How much does he
make in 7 days?

Answers

Answer:

$78.37 ÷7

Step-by-step explanation

im not smart

Explain how to determine the
probability of a compound
event. Be sure to include both
types of compound events.

Answers

Answer: Compound probability is equal to the probability of the first event multiplied by the probability of the second event

HOPE THIS HELPS

59,61,61,72,80 what is the median of the data?

Answers

Answer:

61

Step-by-step explanation:

median mean the middle number (number that appears to be in the middle)

you were given a series of numbers, like in this question is quite easy because you were given five numbers. so you cancel out two from the left and two from your right the remainder is 61 and that's your median.

Find the approximate radius of a circle with a circumference of 198 centimeters. Use 3.14 for it. Round to the nearest
hundredth

Answers

Answer:

31.50

Step-by-step explanation:

What is 51% of 25.5?​

Answers

Answer:

The answer is 13.005

Step-by-step explanation:

Answer:

13.005

Step-by-step explanation:

Find the slope of the line passing through the points (-4,-5) and (3,-5).

Answers

Answer:

The slope of the line is 0, that is, it is a horizontal line.

Step-by-step explanation:

Slope of a line:

The slope of a line having two points in the format (x,y) is given by the change in y divided by the change in x.

(-4,-5) and (3,-5).

Change in y: - 5 - (-5) = -5 + 5 = 0

Change in x: 3 - (-4) = 3 + 4 = 7

0/7 = 0

The slope of the line is 0, that is, it is a horizontal line.

Evaluate the function requested. Write your answer as a fraction in lowest terms.
B
123
27
A
120
Find cos B.

Answers

Answer:

d. Cos B = 9/41

Step-by-step explanation:

Recall, SOHCAHTOA.

Cos B = Adjacent length / Hypotenuse length

Adjacent length to reference angle B = 27

Hypotenuse length = 123

Cos B = 27/123 = 9/41

Calculate for y given that mean of 20,2y,25,y,30 is 27​

Answers

Answer:

y = 218

Step-by-step explanation:

Mean = (Sum of all numbers)/(How many numbers present)

27 = (20 + 2y + 25 + y + 30)/27

27 = (3y + 75)/27

3y + 75 = 729

3y = 729 - 75

3y = 654

y = 218

8 (6-4x) = 12

equation with parentheses​

Answers

Answer:

x=9/8

Step-by-step explanation:

HELP ASAP! I REALLY NEED IT!

Answers

Answer:

[tex]46 \frac{7}{8} \: cubic \: feet[/tex]

Step-by-step explanation:

[tex]\boxed{volume \: of \: prism = base \: area \: \times height}[/tex]

Base area= length ×width

Let's convert all the mixed numbers into improper fraction for easier calculation.

Width

= 7½

[tex] = \frac{7(2)}{2} + \frac{1}{2} [/tex]

[tex] = \frac{14}{2} + \frac{1}{2} [/tex]

[tex] = \frac{15}{2} ft[/tex]

Height

= 1¼

[tex] = \frac{4}{4} + \frac{1}{4} [/tex]

[tex] = \frac{5}{4} ft[/tex]

Volume of prism

[tex] = 5 \times \frac{15}{2} \times \frac{5}{4} [/tex]

[tex] = \frac{375}{8} [/tex]

[tex] = 46 \frac{7}{8} \: ft {}^{3} [/tex]

someone please help me answer this!!

Answers

Answer:

7.1 units is the answer

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-1)^2 + (2-7)^2}\\\\d=\sqrt{(5\\)^2+(-5)^2} \\\\d=\sqrt{25+25} \\\\d=\sqrt{50} \\\\d=7.071..[/tex]

Rounding off,

d = 7.1 units

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