One solution to a quadratic equation is 4 - 5i. Find the equation.

Answer:

B) 28 in

Step-by-step explanation:

Pythagorean thm formula:

a² + b² = c²

Given:

b = 45

c = 53

Work:

a² + b² = c²

a² + 45² = 53²

a² + 2025 = 2809

a² = 2809 - 2025

a² = 784

[tex]\sqrt{a^2} =\sqrt{784}[/tex]

a = 28

Answer:

Solution given:

In right angled triangle

ABC.

with respect to <C=40°

opposite side=AB

adjacent=BC=DE=30ft

now

relationship between opposite side and adjacent

is given by tan angle

tan 40°=oppo/adjacent

tan40°=AB/30

AB=tan40*30

AB=25.2

Now

height of flagpole =AB+BE=25.2+5=30.2ft

option 4th is a required answer

Answer:

CORRECT STATEMENTS:

Step-by-step explanation:

Answer:

area of triangle=base*height/2

4*5/2

=20/2

=10

Step-by-step explanation:

Answer:

= x^2-3x-4/x(x+1)(x-2)

Step-by-step explanation:

x+2/x2+x - 3/x2-x-2

=x+2/x(x+1) - 3/x^2-x-2

=x+2/x(x+1) - 3/x^2-2x+x-2

= x+2/x(x+1) - 3/x(x-2)+1(x-2)

= x+2/x(x+1) - 3/(x+1)(x-2)

Find the LCM

= (x+2)(x-2)- (3x)/x(x+1)(x-2)

=  (x+2)(x-2)- (3x)/x(x+1)(x-2)

= x^2-4-3x/x(x+1)(x-2)

= x^2-3x-4/x(x+1)(x-2)

Answer:

Recursive:

Step-by-step explanation:

Common difference ( d ):   17 - 10 = 7

Recursive Arithmetic:

[tex]a_n = a_{n-1} + d[/tex]

[tex]a_n = a_{n-1} + 7[/tex]

[tex]a_1 = -4[/tex]

Hopefully this helped!

Answer:

B

Step-by-step explanation:

180 - (25 + 55) = 180 - 80 = 100°

Answer:

12

Step-by-step explanation:

this equation can be derived from the question

55 - 4x < 10

< = less than

x = number of days

solve for x

55 - 10 < 4x

45 < 4x

x < 11.25

at the 11th day, there would be 11 keys left

on the 12th day, there would be 7 keys left

the correct answer is  12 days

Answer:

x = -11/4

Step-by-step explanation:

4x - 2 = -13

(add 2 on both sides)

4x - 2 + 2 = -13 + 2

4x = -11

(Divide 4 on both sides)

4/4x = -11/4

x = -11/4

Answer:

[tex]4x - 2 = -13\\4x = -13 + 2\\4x = -11\\x = - \frac{11}{4} \\x =- 2.75\\[/tex]

The value of x is  - 11/4 in fraction form & - 2.75 in standard form.

hope it helps

# RainbowSalt2222

Answer:

x+41=90

Step-by-step explanation:

Because that is square which means 90 degrees so 41 degrees plus x equals to 90

Hi there!  

»»————-　★　————-««

I believe your answer is:  

The second option, [tex]\boxed{x+41=90}[/tex].

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

We can use the information given to set up an equation.

[tex]\boxed{\text{An equation to find 'x'.}}\\\\\text{The sum of the angle's measurements: }90$^{\circ}$\\\\\text{The given measurement for one of the angles: }41$^{\circ}$\\\\----------------\\\\\underline{The sum of the two angle measurements would be 90 degress.}\\\\\text{Given angle mesurement} + x = 90\\\\\boxed{41 + x = 90}[/tex]

Option B matches the equation made. Therefore, option B should be the correct answer.  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

V=Pie R^2 H

Step-by-step explanation:

I just looked it up

true true true true true true true

Answer:

false

Step-by-step explanation:

3(3+2)(3-1) is not =0

The factor of n(n+2)(n-1) = 1

Answer:

10 is the distance.

Answer:

D) y= -1/2x+9

Step-by-step explanation:

if u substitute y with 8 u will get 2

if u substitute y with 5 u will get 8

Answer:

D

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}=xy_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 8) and (x₂, y₂ ) = (8, 5)

m = [tex]\frac{5-8}{8-2}[/tex] = [tex]\frac{-3}{6}[/tex] = - [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, 9) ⇒ c = 9

y = - [tex]\frac{1}{2}[/tex] x + 9 → D

Answer:

B and C are true

Step-by-step explanation:

domain shows all values of x

B is correct

range shows all values of y

C is correct

Answer:

3.006, 3.06, 3.4, 3.4051

Step-by-step explanation:

3.006 < 3.06 < 3.4 < 3.4051

Answer:

x = 2

Step-by-step explanation:

GIVEN :-

TO FIND :-

SOLUTION :-

To find the value of x , lets assume that both the triangles are similar to each other. As they are similar , their sides are proportional to each other i.e. :-

[tex]\frac{KJ}{JL} = \frac{QR}{QS}[/tex]

[tex]=> \frac{3}{x} = \frac{12}{x + 6}[/tex]

[tex]=> 3(x + 6) = 12 \times x[/tex]

[tex]=> 3x + 18 = 12x[/tex]

[tex]=> 12x - 3x = 3x + 18 - 3x[/tex]

[tex]=> 9x = 18[/tex]

[tex]=> \frac{9x}{9} = \frac{18}{9}[/tex]

[tex]=> x = 2[/tex]

PN = LO

__________________________

(LO)^2 = (LN)^2 + (NO)^2

(LO)^2 = 6^2 + 8^2

(LO)^2 = 36 + 84

(LO)^2 = 100

LO = √100

LO = 10

__________________________

Thus :

PN = 10

Step-by-step explanation:

So, we can assume that LN and PO are equal in length and NO and LP are equal in length as well.  LO and PN are also equal.

We can see that PN is the hypotenus of either triangle NLP or NOP.  LO is the hypotenuse of LOP and LON, so those could be used to find the length as well.  I rather work with NOP, but any work.

We know that NO is 8 units long and LN is 6 units long.  Because LN = PO, PO = 6 units.

So, using the pythagorean theorem, the hypotenuse is:

8^2 + 6^2 = c^2

64 + 32 =c^2

sqrt(96)=c

c~9.8

I don't know how exact they want your answer.

c = 9.79795897113

Answer:

90° is rhe correct answer..

Answer:  E. square root of 2

We can write that in shorthand as sqrt(2)

sqrt(2) = 1.41421 approximately

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

Explanation:

Step 1)

Add up the values to get 18+19+20+21+22 = 100

Divide by n = 5, since there are 5 items in the list. So 100/n = 100/5 = 20

The sample mean is xbar = 20

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

Step 2)

Subtract the mean from each data value

The results we get are: -2, -1, 0, 1, 2

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

Step 3)

Square the results from the previous step

The results here are: 4, 1, 0, 1, 4

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

Step 4)

Add up those squares from the previous step: 4+1+0+1+4 = 10

Now divide by n = 5 to get 10/n = 10/5 = 2

The result 2 represents the population variance. Applying the square root to the population variance leads to the population standard deviation. So we end up with the final answer of sqrt(2). The answer is choice E.

sqrt(2) = 1.41421 approximately

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

Note: if you want the sample standard deviation, then you divide by n-1 = 5-1 = 4, but the other steps are the same as before.

Answer:

105

Step-by-step explanation:

42% as a fraction is 0.42   .

multiply that with 250 to find 42% of 250.

250 * .42 = 105

Answer:

105

Step-by-step explanation:

What is 42% of 250?

Let's break this question down.

We have:

42% – A percent is a fraction out of 100. 100% being fully complete. We can express 42% as 42/100 or 0.42.

of – This symbolizes multiplication.

250 – This is our total.

Now let's set up an equation.

42% of 250

0.42 • 250 = ?

Now, multiply.

105

This is your answer.

42% of 250 is 105.

Hope this helps!

hello

Step-by-step explanation:

[tex]90.[/tex]

90 is the answer:)

Answer:

5^13

Step-by-step explanation:

when multiplying numbers with the same base, you add the exponents

Answer:

5^13

Step-by-step explanation:

5^8 = 390625

5^5= 3125

Since you have to write you answer as a power you would do 5^8+5^5= 5^13

Answer:

9.8

Step-by-step explanation:

=5.9 . tan 59° = 5.9 × 1.66 = 9.8

Answer:

56+73

Step-by-step explanation:

Answer:

∠A = 30

Step-by-step explanation:

Look at attachment:

Hope this helps! :)