Simplify the expression and write the result in standard form, a+bi
3 √-25 =

Answers

Answer 1

Answer:

[tex]3 + \sqrt{ - 25} = 3 + \sqrt{25} i\\ = 3 + 5i \\or \: \\ 3 \sqrt{ - 25} \\ = 3 \times 5i = 15i \\ thank \: you \\ [/tex]


Related Questions

For number 8 name the angle vertical to

Answers

Answer:

the angle vertical to angle VZY is angle XZW.

hope it helps.stay safe healthy and happy.

how would i write The difference of three times a number and 4 is -19 in a equation?

Answers

Hi! I'm happy to help!

To solve this, we first have to understand the terms and the way they arrange the equation.

First, we have the difference of ____and_____=. (the "is" after 4 refers to equals)

We will write this as:

_______-_______= ,because difference means subtraction.

For our first blank, we have 3 times a number. Because we do not know this number, we will use a variable.(n) 3 times a number is 3 multiplied by a number. We can just write 3n, because it represent multiplication.

3n-______=

Now, we see the part of the equation after the "and". We just see 4, so we can insert that here:

3n-4=

Now, we see what is shown after the "is".

We just have -19, so we can insert that here:

3n-4=-19

Now, let's solve (not sure if I need to):

To solve for n, we have to isolate it on one side of the equation. To do this, let's cancel out the -4 on the left side of the equation by adding 4 to both sides:

3n=-15

From here, we need to get rid of the 3 next to the n by dividing both sides by 3:

n=-5

So, we write it as 3n-4=-19, and n=-5.

I hope this was helpful, keep learning! :D

what is -67- blank =0

Answers

i need more information

Answer:

67

Step-by-step explanation:

If you are looking for x, or blank in this case, you add 67 to -67.

this equals 0.

-67+67=0.

Convert 6.350 to a fraction

Answers

Answer:

[tex]6 \frac{350}{1000}[/tex] Is the answer, if you want it simplified then, [tex]6 \frac{7}{20}[/tex]

Step-by-step explanation:

Answer:

[tex]{ \sf{ \underline{answer \: is \: \: 6 \frac{7}{20} }}}[/tex]

Step-by-step explanation:

Hope you got the idea in previous answer.

[tex]6.350 = \frac{6350}{1000} [/tex]

reduce the fraction by 10:

[tex] = \frac{6350 \div 10}{1000 \div 10} \\ \\ = \frac{635}{100} [/tex]

then reduce it by 5:

[tex] = \frac{635 \div 5}{100 \div 5} \\ \\ = \frac{127}{20} [/tex]

in mixed fraction mode:

[tex] = 6 \frac{7}{20} [/tex]

Elsa got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7 cents per yard. If after that purchase there was $12.83 left on the card, how many yards of ribbon did Elsa buy?

Answers

Answer:

31 yards

Step-by-step explanation:

If she has $12.83 left, that means she spent $2.17 out of the $15

15 - 12.83 = 2.17

One cent is .01 of a dollar

So that would be $0.07 per yard

To find the number of yards, we need to divide the total amount she spent by the price per yard.

2.17 ÷ 0.07 = 31

find the gradient of the line 3y=2x/3+4​

Answers

Answer:

slope is also known as gradient

here gradient =2/9

Help (Geomotry)question3.

Answers

Answer:

8x+11=14x_1

14x_8x=11+1

6x=12

x=12/6

x=2

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

Find the measure of JL.

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

Given, K is the midpoint of JL. So, JK = KL.

KL = 14x - 1JK = 8x + 11JL = ?

________

JL = JK + KL (given that K is the midpoint of JL)

JL = (8x + 11) + (14x - 1)

________

[tex] \large \boxed{\mathfrak{Steps} \downarrow}[/tex]

[tex] \sf( 8 x + 11 ) + ( 14 x - 1 )[/tex]

Combine 8x and 14x to get 22x.

[tex] \sf \: 22x+11-1 [/tex]

Subtract 1 from 11 to get 10.

[tex] \boxed{ \boxed{ \bf22x+10 }}[/tex]

________

Also given that, JK = KL.

So, (8x + 11) = (14x - 1)

⇨ (8x + 11) = (14x - 1)

⇨ 8x + 11 = 14x - 1

⇨ 11 + 1 = 14x - 8x

⇨ 12 = 6x

⇨ x = 12 / 6

⇨ [tex] \boxed{ \boxed{ \bf \: x= 2 }}[/tex]

________

Now, value of JL will be,

JL = 22x + 10

Substitute the value of x.

JL = 22(2) + 10

JL = 44 + 10

[tex] \boxed{ \boxed{ \bf\: JL = 50 }}[/tex]

So, the value of JL will be 50 units.

Elsa got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7 cents per yard. If after that purchase there was $12.83 left on the card, how many yards of ribbon did Elsa buy?

Answers

We need to find the yards of ribbon that Elsa bought with her debit card.

The amount of ribbon that Elsa bought was 31 yards.

Initial amount which is present on the card is [tex]\$15[/tex]

Amount left after spending is [tex]\$12.83[/tex]

Amount spent on ribbon is [tex]15-12.3=\$2.17[/tex]

Converting to cents

[tex]2.17\times 100=217\ \text{cents}[/tex]

Cost of one yard of ribbon is [tex]7\ \text{cents}[/tex]

[tex]1\ \text{yd}=7\ \text{cents}\\\Rightarrow 1\ \text{cent}=\dfrac{1}{7}\ \text{yd}\\\Rightarrow 217\ \text{cents}=\dfrac{217}{7}=31\ \text{yd}[/tex]

The yards of ribbon that Elsa bought is [tex]31\ \text{yards}[/tex].

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For any two integers a and b, (a + b)2 = a2 + b?
true or false

Answers

Answer:

False.

Step-by-step explanation:

Using the property of distribution, (a + b)² will be a² + b², never a² + b.

No, for any two integers a and b, (a + b)² ≠ a² + b is a false statement.

What is termed as the distributive property of multiplication?Multiplication's distributive property allows you to simplify expressions in which you multiply a number by the a sum or difference. This property states that the product of a sum or difference of two numbers is equal to the sum as well as difference of the products. When you multiply a value by a sum, the distributive property of multiplication over addition is used.

For the given two integers a and b,

The given expression

(a + b)² = a² + b (false statement)

The correct statement is-

(a + b)² = (a + b)(a + b)

(a + b)² = a² + b² +  2ab

Thus, no, for any two integers a and b, (a + b)² ≠ a² + b.

To know more about the distributive property of multiplication, here

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- 13 -2
2 - [ -1]³ + [ 1 6 ] - [ - 1 - [ - 3 ] |

Answers

23

Step-by-step explanation:

2 - [ -1]³ + [ 1 6 ] - [ - 1 - [ - 3 ]

= 2-[-1] + [16] -[-1]-[-3]

= 2+1+16+1+3

= 3+16+4

=3+20

= 23

............-4
6.7x10 =

Answers

Answer:

The Answer is -467

Step-by-step explanation:

all it did was move the decimal to the right once

Add. Write your answer in simplest form.
5 1/5 + 4 3/5 =
A. 10 1/5
B. 9 2/5
C. 10 4/5
D. 9 4/5
PLEASE HELP AND EXPLAIN THANK YOU

Answers

Answer:

d. 9 4/5

Step-by-step explanation:

5+4=9

1/5+ 3/5=4/5

So then you'll get 9 4/5

Use f(x) = 1/2 and f^-1(x) = 2x to solve the problems.

f(2)=
f^-1(1) =
f^-1(X2)) =

Answers

Answer:

Solution:

When X=2

f(2)=1/2

= 1/2

When X= 1

f^-1(1)= 2*1

=2

When X=2

f^-1(2)=2*2

= 4

Step-by-step explanation:

I don't know if these are correct and if that last question is f^-1(2) or not.

What is the solution to 12 = 3/4x

Answers

Answer:

3

Step-by-step explanation:

2

Solve the following equation:
X+m=p-n for p

Answers

Answer:

p = m + n + x

Step-by-step explanation:

x + m = p - n

x + m + n = p

p = m + n + x

WILL GIVE BRAINLIEST

(3x – 14) (2x + 10)

Find the value of x.​

Answers

Answer:

(3x - 14) = (2x+ 10) { Because the angles are vertically opposite to each other}

3x-2x= 14+10

x=24

How much do $10 pieces of candy cost if 1000 pieces cost $20

Answers

Answer:

50 pcs

Step-by-step explanation:

say

1000 pcs / $20

so 50 pcs / $

then

$10 * 50 pcs / $ = 500 pcs

please find value of x and y​

Answers

Answer:

X=x=−5y/3

y=x=−5y/3

Step-by-step explanation:

2x+y/3⋅1/x−3y=1/3⋅1/2=x=−5y/3

Answer:

x = [tex]\frac{5}{7}[/tex] , y = - [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

Given 2 equal matrices then the corresponding elements in each matrix are equal, then

2x + y = 1 → (1)

x - 3y = 2 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate y

6x + 3y = 3 → (3)

Add (2) and (3) term by term to eliminate y

7x + 0 = 5

7x = 5 ( divide both sides by 7 )

x = [tex]\frac{5}{7}[/tex]

Substitute this value into (1) and evaluate for y

[tex]\frac{10}{7}[/tex] + y = 1 ( subtract [tex]\frac{10}{7}[/tex] from both sides )

y = [tex]\frac{7}{7}[/tex] - [tex]\frac{10}{7}[/tex] = - [tex]\frac{3}{7}[/tex]

Help need help please

Answers

The distance between these two points is 4.24

Please help me it’s math coordinates planes

Answers

Answer:

(4.5 , 2.5)

Step-by-step explanation:

The midpoint can be found with the formula 

[tex]midpoint = ( \frac{x1 + x2}{2} ).( \frac{y2 + y1}{2} )[/tex]

and (x1 , x2 ) , (x2, y2) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points.

how do you write 750 gallons to 14 minutes as a unit rate

Answers

750/14=53.57

53.57 gallons per minute

a:b=2:3
b:c= 5:6
Show that a:c=5:9
please help

Answers

a/b = 2/3
= 10\15
b/c = 5/6 = 15/18
a/b/c/b = a/c = 10/15/18/15 = 10/18
=5/9
Hence proved

Please help me I need help

Answers

Answer:

d=14

Step-by-step explanation:

1d/6+2/3=1(d-2)/4

Find the L.C.M.

d+4/6=d-2/4

Cross multiply

4d+16=6d-12

Collect like terms

16+12=6d-4d

28=2d

Divide through by the coefficient of d

2d/2=28/2

d=14

Answer:

d = 20

Step-by-step explanation:

1/6*d + 2/3 = 1/4*(d - 2) do the multiplying

d/6 + 2/3 = (d-2)/4 now add fraction

d/6 + 2/3 to add these up we need to multiply 2/3 with 1/2 and it will be 4/6

d/6 + 4/6 = (d+4)/6

(d+4)/6 = (d-2)/4 cross multiply

4d + 16 = 6d - 24 add like terms

16 + 24 = 6d - 4d

40 = 2d divide both sides by 2

20 = d

Clarisse is selling lemonade in her front yard for $0.50 per glass. Each glass is 1/8 of a pitcher. How much money can she make if she sells 5 pitchers?

Answers

Answer:

$20

Step-by-step explanation:

0.50×8=4

4×5=20

50 cents per 1/8 of a pitcher so that would mean that 2/8 or 1/4 would be a dollar and if you keep going like that you will get to 4, then you multiply 4 and 5 to get 20.

Can I please have brainliest?

Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)

Answers

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

[tex]\displaystyle y = -x^2 + 2x + 1[/tex]

Recall that the vertex is given by the formulas:

[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -1, b = 2, and c = 1.

Determine the x-coordinate of the vertex:

[tex]\displaystyle x = -\frac{(2)}{2(-1)} = 1[/tex]

To determine the y-coordinate, evaluate the function at x = 1:

[tex]\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}[/tex]

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

An object is moving at a speed of 3 kilometers per hour. Express this speed in feet per minute. Round your answer to the nearest whole number.

Answers

Answer:

164 feet per minute

Step-by-step explanation:

3 kilometers is ~9842.52 feet

Since it moves 9842.52 feet per hour, we can just divide that number by 60 which gives us 164.042 feet. Rounded it's 164 feet

what number is farther away from 2,300? -125 or -220
subject: math

Answers

Answer:

-220

Step-by-step explanation:

2,300-1 then we go into the negatives 0- -2,300

so if -5 is further from 0 than -4 that means the larger number is further

solve the systems of linear equations using substitution
1.x-4y=-10 2.a-3b=24
2x+y=-11 a+2b=-16



3.4j-5k=27 4.m+n=-3
k=j-7 m-4n=27

Answers

Step-by-step explanation:

1 . x - 4y = -10

2x + y = -11

multiply the first equation with 2

2x - 8y = -20

-

2x + y = -11

===============

= 0 - 9y = -9

y = 1

x = -6

-------------------------------------------

2.

a - 3b = 24

-

a + 2b = -16

=============

= 0- 5b = 40

b = - 8

a = 0

and so on

The endpoints of ST are -15 and 25. Find the coordinate of the midpoint M

Answers

Answer: 5

Step-by-step explanation:

The coordinate of the midpoint M = 5

What is a Line Segment?

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment ST, where the length of line segment ST  refers to the distance between its endpoints, S and T.

Given that M is the midpoint of ST

S______________M______________T

What is Midpoint?

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

The endpoints of ST are -15 and 25.

So the midpoint between S and T is given by,

⇒ M = (25 - 15)/2,

⇒ M = 10/2

⇒ M = 5

Hence, the coordinate of the midpoint M = 5

Learn more about the midpoint here :

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x • 1 + x/1=? ,,,,,,,,,,,,,,,,,,,,,

Answers

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

[tex] \large \sf \: x \cdot 1 + \frac { x } { 1 } = ? \\ [/tex]

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

[tex] \large \sf \: x \cdot 1 + \frac { x } { 1 } \\ [/tex]

Anything divided by one results in itself.

[tex] \large \sf \: x\times 1+x [/tex]

Combine x × 1 and x to get 2x.

[tex] = \large \boxed{ \bf \: 2x}[/tex]

The correct answer is 2x.
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