Simplify the expression and write the result in standard form, a+bi. Write all numbers as integers or simplified fractions.

-14 + √-125 / 10

Answers

Answer 1

Answer:

[tex] - 14 + \sqrt{ \frac{ - 5 \times 5 \times 5}{10} } [/tex]

[tex] - 14 + 5 \sqrt{ \frac{ - 1}{2} } [/tex]

[tex] - 14 + \frac{5 \sqrt{ - 1} }{ \sqrt{2} } [/tex]

[tex] - 14 + \frac{5i}{ \sqrt{2} } [/tex]

Answer 2

Step-by-step explanation:

[tex] - 14 + \sqrt{ \frac{ - 125}{10} } \\ - 14 + \frac{5 \sqrt{5} i}{ \sqrt{10} } \\ = - 14 + \frac{5i}{ \sqrt{2} } \\ = - 14 + \frac{5i \sqrt{2} }{ \sqrt{2} \times \sqrt{2} } \\ - 12 + \frac{5 \sqrt{2}i }{2} \\ thank \: you[/tex]


Related Questions

Find the measure of Zx in the figure.

Answers

Answer:

130 degrees

Step-by-step explanation:

Add 90 and 40

you had $430 but you are spending $8 each day which algebraic expresion describes this situation where d represents the number of days

Answers

Answer: 430-8d

Step-by-step explanation:

you start with 430 dollars and you spend 8 a day. you multiply 8 by the number of days and subtract that from 430.

The algebraic expression that describes the situation is 430 - 8d.

Given,

You have $430 but you are spending $8 each day.

We need to find the algebraic expression that describes this situation where d represents the number of days.

What is an algebraic expression?

An algebraic expression is an expression which is made up of variables and constants.

Find the algebraic expression.

Total amount = $430

Amount spend each day = $8

Let the number of days be denoted by: d

If $8 is spent daily then 8d represents the amount spent for d days.

Now,

$430 is the amount from which the money has to be spent so,

430 - 8d is the required algebraic expression.

Thus the algebraic expression that describes the situation is 430 - 8d.

Learn more about how to make algebraic expressions here:

https://brainly.com/question/12925506

#SPJ2

write an expression to represent the surface area of a cylinder with a height twice as long as its radius​

Answers

Answer:

area = 2 π r 2 + 2 π r h

Step-by-step explanation:

The two circles that make up the ends of the cylinder.

The side of the cylinder, which when "unrolled" is a rectangle

π  is Pi, approximately 3.142

r  is the radius of the cylinder

h  height of the cylinder

The two circles that make up the ends of the cylinder.

The side of the cylinder, which when "unrolled" is a rectangle

Pi (π) approximately 3.142

radius (r) of the cylinder

the height (h) of the cylinder

therefore your answer is

area = 2 π r 2 + 2 π r h

Can someone Please! <3

Answers

Answer:

A= D , B=C

SO; angle D =102

A+B = 180

C+D=180

C+102=180 —> C = 180-102 = 78

So; C=78 , D=102

I hope I helped you^_^

Answer:

angle C = 78

angle D = 108

Step-by-step explanation:

 the measure of angle A is 102

To find the measure of angle C

let Angle C be x

102 + x = 180 (linear pair)

x = 180 -102

x = 78

angle C = 78

angle B = 78 (vertically opposite angles are equal)

angle D = 108 (vertically opposite angles are equal)

antoine brought some cans of soda to a party. His friends drank 6 cans. CReate an algebraic expression to represent how many can are left

Answers

Answer:

n - 6 = p

Step-by-step explanation:

the measure of the angles of a triangle are shown in the figure below. solve for x.

Answers

Answer:

[tex]\boxed {\boxed {\sf x= 12}}[/tex]

Step-by-step explanation:

We are asked to solve for x. We are given a triangle and all 3 angles are labeled. We know that the sum of the angles in a triangle must be 180 degrees. Therefore, the given angles: 81, 57, and (2x+18) must add to 180. We can set up an equation.

[tex]81+57+ (2x+18)= 180[/tex]

Now we can solve for x. Begin by combing like terms on the left side of the equation. All the constants (terms without a variable) can be added.

[tex](81+57+18)+2x=180[/tex]

[tex]156+2x=180[/tex]

We will solve for x by isolating it. 156 is being added to 2x. The inverse operation of addition is subtraction. Subtract 156 from both sides of the equation.

[tex]156-156+2x=180-156 \\2x=180-156 \\2x= 24[/tex]

x is being multiplied by 2. The inverse operation of multiplication is division. Divide both sides by 2.

[tex]2x/2= 24/2 \\x= 24/2 \\x=12[/tex]

In this triangle, x is equal to 12.

Answer:

x° = 12°

Step-by-step explanation:

Hello!

The sum of the measures of the angles of a triangle is 180°.

81° + 57° + (2x + 18)° = 180°

138° + (2x + 18)° = 180°

(2x + 18)° + 138° = 180°

2x + 18° = 180° - 138°

2x + 18° = 42°

2x = 42° - 18°

2x = 24°

x° = 24° ÷ 2

= 12°

Success! ☺️

7.
Determine whether each sequence is arithmetic or geometric. Sequence 1: 32, 16, 0, –16, ... Sequence 2: 32, 16, 8, 4, ...

A. Both sequences are geometric.
B. Both sequences are arithmetic.
C. Sequence 1 is arithmetic and Sequence 2 is geometric.
D. Sequence 2 is arithmetic and Sequence 1 is geometric.

Answers

Answer: C

Step-by-step explanation: Sequence 1 goes down by 16 each time (an equal amount) whereas sequence two halves each time making it a geometric sequence!

HELPPP!!!
What is the value of f(4)

Answers

Answer:

f(4) = 0

Step-by-step explanation:

If the value of x is between 0 and 5, then the f(x) will equal 0.

x = 4 is greater than 0 and less than 5, so f(4) = 0

Please please please help

Answers

Answer:

It's linear, so its proportional/has a relationship.

The y/x thing means slope, so take the slope -- which is 9.

Can someone explain how to solve this step by step?

Answers

Answer: [tex]\frac{x+1}{x}[/tex]

multiple by [tex]\frac{x^{2} }{x^{2} }[/tex]

[tex]\frac{x^{2} -1}{x^{2} - x}[/tex]=

[tex]\frac{(x+1)(x-1)}{x(x-1)}[/tex]

[tex]\frac{x+1}{x}[/tex]

Step-by-step explanation:

Can someone HELP ME WITH QUESTION 2 ONLY PLEASE!!! 20 points !!!

Answers

Step-by-step explanation:

1. Line l can be named as line FBD

2. B and C

3. Colinear:-A,B,C

No-Colinear:-F,B,C

4. 6

5. DE = 13

2 + 2x - 3 = 13

2x - 1 = 13

2x = 12

x = 12/2

x = 6

Answer:

The intersection of line l is AC and the intersection of line m is FD.

Intersection line means the line which passes the line by crossing it.

please help i will mark brainliest

Answers

Answer:

So I'm not sure if the shapes have to do anything for it but I solved for x

5. x = 1

AGAIN SORRY IF THIS IS WRONG I HAVENT DONE THIS KIND OF MATH IN 5 YEARS.

can you help me with this question? (angle names) thanks :)

Answers

Answer:

Option c because they can make 180° when added.

Answer:

c is the correct answer

have a great day

12. Find three consecutive even integers such that
the sum of the smallest integer and twice the
median integer is 20 more than the largest
integer.

Answers

Answer:

10, 11, 12

Step-by-step explanation:

Hi there!

Let x be equal to the smallest integer.

Let x+1 and x+2 be equal to the consecutive integers.

We're given that:

⇒ smallest integer + 2 × middle integer = 20 + largest integer

Construct an equation:

[tex](x)+2(x+1)=20+(x+2)[/tex]

Combine like terms:

[tex](x)+2(x+1)=20+(x+2)\\x+2x+2=20+x+2\\3x+2=22+x\\2x=20\\x=10[/tex]

Therefore, the smallest integer is 10.

This makes the consecutive integers 11 and 12.

I hope this helps!

Ivan runs each lap in 4 minutes. He will run at most 28 minutes today. What are the possible numbers of laps he will run today?
Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.

Answers

Answer:

7 laps

Step-by-step explanation:

4n = 28

n = 7

hope this helps :)

Amber baked 243 cookies. She wants to share the cookies evenly among 13 friends in her class. How many cookies will each friend receive?

Answers

Answer:

18

Step-by-step explanation:

243÷13=18remainder9

mark me brainliest

Answer:

18

Step-by-step explanation:

243/13

Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x

h(g(f(x))) = Ax² + B + C

Which is A: 4, -8, 8
Which is B: 20,-20,-40
Which is C: 50, -50, 25

Answers

(2x+5)(2x+5)

4x^2+10x+10x+25

4x^2+20+25

A=4

B=20

C=25

The following table shows the values of x and y for a certain function.

x | 0 | 2 | 3 | 4 | 5
y | 2 | 3 | 4 | 5 | 6

What will be the value of y for the inverse of this function when x=3?

4
2
It cannot be determined from the given information.
0
3

Answers

Answer:

4

Step-by-step explanation:

1/8 of a mile was ran in 1 1/2 min how long will it take to reach a mile HELP

Answers

Answer:

12 minutes.

Step-by-step explanation:

If it took 1.5 minutes to run 1/8 of a mile, you need to multiply both numbers by 8 (whole number) to get your answer.

a. 1/8 × 8/1 = 8/8 or ONE WHOLE MILE

b. 1.5 × 8/1 = 12

The mile is fractioned into 8 parts, multiply by 8 to get a whole mile.

The difference of a positive integer and an integer that is greater than it

Answers

Answer: Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ... . Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5, …. ... If an integer is greater than zero, we say that its sign is positive. If an integer is less than zero, we say that its sign is negative

so 8 9 10 is positive and -8 -9 -10 is negative

they cancel each other out like 8+-8 = 0 and -8+4=-4

Thank You So Much!! I Need Help

Answers

Answer:

B

Step-by-step explanation:

plolynomial is (x+4)(x-0)(x-1)(x-4)

or x(x-1)(x+4)(x-4)

or (x²-x)(x²-16)

or x^4-x³-16x²+16x

if Y varies directly with X, and Y = -5 and X = 7, what is X when Y = -85?

Answers

Answer:

X = 119

Step-by-step explanation:

Step 1: Given

Y = -5 X = 7

Y = -85 X = n

Step 2:

-85 ÷ -5 = 17

Step 3:

17 × 7 = 119

Answer:

Y = -5 X = 7

Y = -85 X = 119

n = 119

Year 8 maths Finding the rule using a table of values

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, a) and (x₂, y₂ ) = (1, b)

m = [tex]\frac{b-a}{1-0}[/tex] = b - a

y = (b - a)x + c

(a)

with coefficient of x being b - a

(b)

The line crosses the y- axis at (0, a ) ⇒ c = a

y = (b - a)x + a

Please help I need this​

Answers

Answer:

3m-8

Step-by-step explanation:

Kelly  = 8 less than (-8) 3 times Marcy (3m)

quick math question i got stuck on this please help for a mark on brainliest:)

Answers

Answer:

you have to change the sign from - to +

Step-by-step explanation:

-1.8 + k = 8.2

k = 8.2 + 1.8

k = 10

Answer:

sorry this is the way that I usually solve these kinds of problems but, She forgot to make -1.5 into a positive. if that makes sense

What else needs to be given as congruent in order to
prove that triangle AEC is congruent to triangle BED by
ASA?
D
1

Share With Class

Answers

D it’s the answer because it sounds right and to be honest I need points

Included sides AE and BE  need to be given as congruent to prove that triangle AEC is congruent to triangle BED by the Angle-Side-Angle (ASA) Congruence Theorem.

According to the Angle-Side-Angle (ASA) Congruence Theorem, if two angles and an included side of a triangle is congruent to corresponding two angles and an included side of another triangle, both triangles can be proven to be equal or congruent to each other.

We are know the following from the given image:

<AEC = <BED (vertical angles are congruent)

<EAC = <EBD (congruent angle)

This implies that two angles (<AEC and <EAC) in triangle AEC are congruent to two corresponding angles (<BED and <EBD) in triangle BED.

Therefore, to prove that both triangles are congruent by ASA, we need to be given that the included sides AE and BE are congruent.

Learn more about Angle-Side-Angle (ASA) Congruence Theorem here:

https://brainly.com/question/23968808

Please help me I need to turn this in ASAP!! 30pts

Answers

Answer:

Step-by-step explanation:

MO bisects ∠LMN.

⇒ ∠LMO = ∠NMO

⇒ ∠LMN = 2 * ∠LMO

   6x - 28  = 2* (x +34)

  6x - 28 = 2*x + 2*34

 6x - 28  = 2x + 68

Add 28 to both sides

6x = 2x + 68 + 28

6x = 2x + 96

Subtract 2x from  both sides

6x - 2x = 96

  4x      = 96

Divide both sides by 4

x = 96/4

x = 24

∠LMO = x +  34 = 24 + 34 = 58

∠MNO = ∠LMO

∠MNO = 58°


When q= -4 and g=1 look at picture

Answers

Answer:

-25

Step-by-step explanation:

sorry for the mistake

 

Which is the function represented by the table? fon 0 5 6 2 O fx)= x+ 5 o Ax)= X-5 0 f(x)= x+ 1 ix)= X-1​

Answers

Answer:

The choose a. f(x) = x+5

Step-by-step explanation:

f(-1)= -1+5=4

f(0)=0+5=5

Answer:

f(x)=x+5

Step-by-step explanation:

According to the table, the y values are 5 more than the x values

A line includes the points (2, 4) and (3, 10). What is its equation in slope-intercept form?

Answers

Answer:

6

Step-by-step explanation:

formula is y2-y1 / x2-x1

Step-by-step explanation:

first off find the gradient dy/dx

-6÷-1=6

y=6x+c

now substitute (2,4)

4=12+c

c=-8

y=6x-8

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