What are the solutions of this quadratic equation?
X^2 = 16x – 65

Answers

Answer 1

Answer:

x= 4.3125

Step-by-step explanation:

Answer 2

Answer:

x=4+7i and x=4-7i

Step-by-step explanation:

Rewrite the given quadratic equation by completing the square.

x^2-8x=-65

x^2-8x+16=-65+16

x^2-8x+16=-49

(x-4)^2=-49

Now, solve the equation by applying the square root property and isolating x.

(x-4)^2=-49

√(x-4)^2 = √-49

x-4=+7i

x=4+7i

So, the solutions to the given quadratic equation are x+4+7i and x=4-7i.


Related Questions

Describe and correct the error in identifying the property being illustrated .
8+(-21)=-21+8
Associative property

Answers

Step-by-step explanation:

8+(-21)= -21+8

it is not associative property it is commutative property

What is the answer to 4x+8+6x+12=85

Answers

Answer:

= 10x + 20

Step-by-step explanation:

If I helped may I get brainliest?

Answer:

x=6.5

Step-by-step explanation:

1. simplify the equation to 10x + 20 +85

2. minus 20 from both sides to get 10x =65

3. divide 10 from both sides

4. x= 6.5

hope this helps!

what's the distance between the points (4,3) and (16,8)

Answers

Answer:

13

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Answer:   13 units

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

Work Shown:

The two given points are [tex](x_1,y_1) = (4,3)[/tex] and [tex](x_2,y_2) = (16,8)[/tex]

Use the distance formula

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(4-16)^2+(3-8)^2}\\\\d = \sqrt{(-12)^2+(-5)^2}\\\\d = \sqrt{144+25}\\\\d = \sqrt{169}\\\\d = 13\\\\[/tex]

write the equation x+y=6y into standard form

Answers

Answer:

x - 5y = 0

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

x + y = 6y ( subtract 6y from both sides )

x - 5y = 0 ← in standard form

Answer: x-5y=0

Step-by-step explanation:

x+y=6y

6y-y

X=5y

X-5y=0

BRAINLIEST!!!!
Question: A group of workers is harvesting berries at a constant rate. An equation that represents the total number of baskets of berries the workers picked over a period of time, in hours, is y = 7x + 15.


A) What are the slope and the y-intercept for the equation?

B) Which term represents the total number of baskets of berries the workers picked over a period of time?

C) What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for the situation.

Answers

Answer:

(a) The slope and the y-intercept are 7 and 15

(b) y represents the total number of baskets of berries the workers picked over a period of time

(c) The rate and the initial amounts are 7 baskets/hour and 15 baskets

Step-by-step explanation:

Answer:

A. the slope of the equation is 7 and y-intercept is 15

B. the term "y" represents the total

C. The rate of change is 7x and the initial amount is 15. The rate of change means the "thing" (or variable) that keeps on changing and here it is the 7x. This means that every hour, the workers pick 7 baskets and this number will change based on the hours, which can is represented by the x. The 15 is our initial amount of baskets we had before starting because it is unchanging, it is our initial amount.

Explanation for A & B:

A.  This equation is written in slope-intercept form which is, y=mx+b the slope is represented by the "m" and the y-intercept is represented by the "b". In simpler words, slope=m and y-intercept=b

B. When we take our given amount which is 15 baskets (y) and add it to our slope  (7x) or the amount that changes based on time

we will get our total y, which represents the total amount of baskets

is crystals soccer game starts at 12:45 and ends at 11:15 how long did the game last?

Answers

Answer:

10 hours and 30 min

Step-by-step explanation:

Answer:

a

Step-by-step explanation:


[tex] \sqrt{47} [/tex]
whats the answer

Answers

Step-by-step explanation:

[tex]\sqrt {47}[/tex]

If this is to Approximate the value it would be 6.85556 (can I Define your question )

what is the absolute value of -135​

Answers

135

with math any absolute number cant be negative so you just make it positive

Answer:

135

Step-by-step explanation:

Absolute value is how far away a number is from zero, so whether its positive or negative doesn't matter.

What is the image of the point (5,-4) after a rotation of 90° counterclockwise about the origin?​

Answers

Answer:

(4,5)

Step-by-step explanation:

Rotating a point by 90 degrees counterclockwise would make the y become x and switch it's negative/positive value, and make x the y.

Ex: (x,y) would become (-y,x)

Necesito un problema para esta ecuación

(m) (m-2) =48

Answers

Answer:

m = 8

Step-by-step explanation:

(Click on the photo and the 60 and 90 is the rest of the window picture shown.)
Please help!!

Answers

Answer:

kind of an estimate but it is probably 220cm, if not then its 175cm, couldn't really see the bottom part of the window

Step-by-step explanation:

If you read 28 pages a hour how many for hours per 1 page

Answers

Answer: 46.7

Step-by-step explanation:

Answer:

1/28

Step-by-step explanation:

[tex]\frac{x}{1}= \frac{1}{28}[/tex]

cross multiply and you get 1/28

Find the slope passes through (-5,2) and (3,3)

Answers

Answer:

1/8

Explanation:

y2-y1/x2-x1

3-2/3-(-5) = 1/8

excavation scientists excavating a dinosaur mapped the site on a coordinate plane. if one bone lies from (-5,8) to (10,-1) and a second bone lies from (-10,-3) to (-5,-6) are the bones parallel ? explain

Answers

Answer:

Tengoo

Step-by-step explanation:

Miedo

A student is painting a room at a constant rate. She is able to paint 2/5 of a room in 1/2 of an hour. How long does it take to paint the whole room plssssssssss help

Answers

Answer:

75 minutes

Step-by-step explanation:

if it takes 30 minutes to paint 2/5 of the room, then it must take 15 minutes to paint 1/5 of the room.

15 * 5 = 75 minutes or 5/4 hours

what is x? in the equation x-21=6

Answers

Answer:

27

Step-by-step explanation:

You would turn the equation around, so it is 21+6=27 and checking, 27-21=6

Answer:

x = 27

Step-by-step explanation:

x- 21 = 6

add 21 to both sides:

x = 27

Check your work by substitution:

27 - 21 = 6

6= 6

x = 27

what is the quadratic formula? I am just testing this app.​

Answers

Answer:

ax^2 + bx + c = 0

Step-by-step explanation:

graph the inequality plz help me solve this and explain how plzzzzzz x-y <4​

Answers

Hope the answer I gave you helps!!!!

Answer:

Step-by-step explanation:

first you have to get the inequality to a point where you can actually graph it

to do this you have to get the x to the same side of the less than symbol

you do this like any other equation, subtract x from the left and right sides because whatever you do to one side, you do to the other

this leaves you with -y < -x + 4

you have to multiply the entire thing by -1 because y cannot be negative

this gives you y < x - 4, now you can graph it

because x is isolated you just have to graph y < -4 like so

im not the best at explanations, i apologize

Can you please help me..​

Answers

Answer:

A

Step-by-step explanation:

I think that would make the most since

Answer:

the answer is c

Step-by-step explanation:

The graph of a linear function has a slope of 3 and contains the point (15, 6). What is the y-intercept? PLEASE HELP!​

Answers

Answer:To get from this point to the y-intercept, we must move up 4 units (rise) and to the right 2 units (run). ... How To: Given a graph of linear function, find the equation to describe the function. ... This function has a slope of 2 and a y-intercept of 3. ... Notice that a vertical line, such as the one in Figure 15, has an x-intercept, but no

Step-by-step explanation:

3/4x+2/5=4x-1/4x
solve plz
show work

Answers

Answer:

x=− 19/2 -9.500

Step-by-step explanation:

step oneRearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3/4*x+5-(1/4+1/4*x)=0

simplify 1/4

   3        1  1

 ((—•x)+5)-(—+(—•x))  = 0

   4        4  4

end of step one step 2 is to repeat the same thing as step one answer is also same as step one step 3

3.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

1 + x                   x + 1

—————  =  —————

  4                         4  

   3               (x + 1)

 ((— • x) +  5) -  ———————  = 0

   4                  4  

send of step 3

step 4                  3  Simplify   —            

                         4

 3                           (x + 1)  ((— • x) +  5) -  ———————  = 0    4                             4    5.1   Adding a whole to a fractionRewrite the whole as a fraction using  4  as the denominator :             5              5 • 4    5 =  —  =  —————             1                4  Equivalent fraction : The fraction thus generated looks different but has the same value as the wholeCommon denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator 5.2       Adding up the two equivalent fractionsAdd the two equivalent fractions which now have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: 3x + 5 • 4                          3x + 20 ——————————  =  ———————     4                                          4  

 (3x + 20)                      (x + 1)  ————————— -  ———————  = 0      4                         4   6.1       Adding fractions which have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: (3x+20) - ((x+1))                                      2x + 19 —————————————————  =  ———————         4                                                           4  

     2x + 19  ———————  = 0          4  

7.1    When a fraction equals zero ...Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.Here's how:  2x+19  ————— • 4 = 0 • 4    4  Now, on the left hand side, the  4  cancels out the denominator, while, on the right hand side, zero times anything is still zero.The equation now takes the shape :   2x+19  = 0

7.2      Solve  :    2x+19 = 0 Subtract  19  from both sides of the equation :                      2x = -19Divide both sides of the equation by 2:                     x = -19/2 = -9.500

Terrell arranges x roses at $3.50 each with 10 carnations at $2.25 each. He makes a bouquet of flowers that averages $3.00 per flower. Choose an equation to model the situation.

A. 3.50x + 2.25(10) = 3(x + 10)
B. 3.50x + 2.25 = 0.75x
C. 3.50x + 3 = 22.5(x + 10)
D. 3.50x + 2.50 = 0.75(x + 10)

Answers

Answer:

c

Step-by-step explanation:

Equation to model the situation is ( 3.5x + 22.5 ) = 3(x+10), Option A.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Given data are :

The number of roses = x,

Price of each rose = $ 3.50,

So, the total price of roses = 3.5x dollars.

Now, the number of carnations = 10,

The cost of each carnation =  $2.25,

So, the total cost of all carnations = 10 × 2.25 = $ 22.5,

Thus, the total cost of a bouquet of flowers = ( 3.5x + 22.5 ) dollars,

Also, the total numbers of flower = x + 10.

Hence, the average cost of flowers = Total cost / total flowers

average cost flowers =  ( 3.5x + 22.5 ) / (x+10)

According to the question,

The average cost of flowers = $ 3.00

( 3.5x + 22.5 ) / (x+10) = 3

or,

( 3.5x + 22.5 ) = 3(x+10)

Therefore, equation to model the situation is ( 3.5x + 22.5 ) = 3(x+10).

More can be learned about linear functions :

brainly.com/question/24808124

#SPJ2

Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 \text{ cm}10 cm10, start text, space, c, m, end text. But then, the snow started melting at a rate of \dfrac{1}{3} \text{ cm} 3 1 ​ cmstart fraction, 1, divided by, 3, end fraction, start text, space, c, m, end text per hour.

Answers

This question is Incomplete

Increases in snow levels are recorded with positive numbers. Decreases in snow levels are recorded with negative numbers. After a winter storm, the depth of the snow on Cherry Street was 10 cm. But then, the snow started melting at a rate of 1/3 per hour. What was the depth of the snow on Cherry Street after 3 hours?

Answer:

9 cm

Step-by-step explanation:

The depth of snow = 10cm

Rate of melting = 1/3 cm per hour

1 hour = 1/3 cm

3 hours = x cm

Cross Multiply

= 3 hours × 1/3cm = 1 hour × x cm

x cm = 3 hours × 1/3cm/1 hour

x cm = 1 cm

Hence in 3 hours, 1 cm of snow would have melted.

Therefore, the depth of the snow on Cherry Street after 3 hours is

10cm - 1 cm

= 9 cm

Use long division to divide.

691 ÷ 9

Answers

76.7777 because I ask Siri what it was in long division

Answer ⇒

= 76

Step - By -  Step Explanation ⇒

It is not easy to write long division on a laptop as it paper, so I have attached an image from a calculator that I found online.

is 192 rational , why is it?

Answers

Answer: 192 IS IRRATIONAL. I HOPE THIS ANSWER HELPS.

Step-by-step explanation:

It is an irrational number if it is not a perfect square. Since 192 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 192?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

can you help me with this question I need the answers,please.

Answers

Answer:

a: 4

b: package and shopping costs

c: 1/2 (   (6-3)/(16-10) )

d: cost of shipping per pound

e: y= 1/2x + 4

f: 92

Step-by-step explanation:

Okay bunch of answers

What is the slope of the line represented by the equation y=1/2x+1/4?

Answers

Answer:

-1/2

Step-by-step explanation:

The slope would be -1/2

Plz help Me 10 points!!! I need it done before 10:00

Answers

Answer:

The first and fourth one.

Step-by-step explanation:

-2/3*4=8/3

8/3=2 2/3

Answer:

I think the answer is D 2 2/3

A recliner is priced at $680.50. There is an 8% sales tax rate. What is the sales tax of the recliner in dollars and cents?

Answers

Answer:

$136.10

Step-by-step explanation:

A line has a slope of –3 and a y-intercept of 3.

A coordinate plane.

What is the x-intercept of the line?
–9
–1
1
9

Answers

it should be 1 because you start at 3 then you go down 3 and over 1

so it should be 1

Answer:

1

Step-by-step explanation:

ok

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