Find the zeros of the following equation by completing the square.
x^2+8x-2=0

Answers

Answer 1

Answer:

x = -4 + 3√2 and x = -4 - 3√2

Step-by-step explanation:

Complete the square of x^2+8x-2=0:

Between 8x and -2, write in 4^2 - 4^2, so that we now have:

x^2 + 8x + 16 - 16 - 2 = 0, or by writing x^2 + 8x + 16 as the square of a binomial, (x + 4)^2 = 18

Taking the square root of both sides, we get:

x + 4 = √18 = ±√9√2, or ±3√2

Then x = -4 + 3√2 and x = -4 - 3√2


Related Questions

2 positive integers have hcf of 12 and their product as 6336 number of pairs possible for the number is​

Answers

Answer:

Here, we are given two positive numbers having HCF as 12 and their product as 6336. ... Hence, we get two pairs of numbers, (12 and 528) and (48 and 132). Therefore, the correct answer is option A.

PLEASE HELP ONLY HAVE FOUR MINUTES

Answers

Sorry but I dont think you are gonna get the answer in 4 minutes

Can someone explain how to do these thx

Answers

Answer:

i have made it in above picture

hope it helps

A culture of bacteria has an initial population of 72000 bacteria and doubles every 10
hours. Using the formula P = Po - 2 å, where P is the population after t hours, Po
is the initial population, t is the time in hours and d is the doubling time, what is the
population of bacteria in the culture after 17 hours, to the nearest whole number?

Answers

Answer: 233928.6902 ≈ 233929

Step-by-step explanation:

Solve the following quadratic equation for all values of x in simplest form.
3(4x + 1)2 – 37 = 5

Answers

Answer:

Step-by-step explanation:

Add 37 to both sides (to combine like terms):

3(4x + 1)^2 = 42

Reduce this by dividing both sides by 3:

(4x + 1)^2 = 14

Taking the square root of both sides results in:

4x + 1 = ± √14, or

4x = -1 ± √14

Solve for x by dividing both sides by 4:

       -1 ± √14

x = ----------------

              4

how do you write 15/60 as a percent

Answers

Answer:

25%

Step-by-step explanation:

Answer:

15/60 as a percentage is 25%

Step-by-step explanation:

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form. Now we can see that our fraction is 25/100, which means that 15/60 as a percentage is 25%. And there you have it!

Compare: 2.25 O 2.26

Answers

The last digit in the decimal is bigger the answer is

Answer:

2.26 is bigger than 2.25

Step-by-step explanation:

you can compare it like money

so for example , $2.26 > $2.25 because

in dollars 2.26 dollars is more.

anybody know the answer?

Answers

Answer:

Option B

Step-by-step explanation:

As,

It has shown that line c cuts line b by making 90° so those lines are called perpendicular bisectors .

Hence,

Option B is the correct symbol shown for perpendicular bisector of line c to line b.

Miguel is posting photos on a school website. He has 48 photos. And he is allowed to use 12 pages.He wants to put the same number of photos,P,on eaxh page

Answers

Answer:

4

Step-by-step explanation:

48/12 to get how many in each page

1. Choose the appropriate symbol to make the following statment true. 0.586_0.568
a. =
b. >
c.<
d. none​

Answers

Answer:

>

Step-by-step explanation:

A church group ordered a total of 22
drinks and burgers. Each drink cost
$2.50, and each burger cost $6.25. If the
group spent a total of $92.50, how many
burgers did the group purchase?


Please help

Answers

Answer:

14.8 or round up to 15 burgers

Step-by-step explanation:

Can you pls explain why too

Answers

Answer: C / 100 units^2

Step-by-step explanation:

The equation to calculate the area of a rhombus is

[tex]Area = \frac{ab}{2}[/tex]

In the picture, you are given a & b.

a equals the entire vertical line. So 5 + 5 = 10. 10 is a

b equals the entire horizontal line. So 10 + 10 = 20. 20 is b.

According to the equation you multiply a times b.

[tex]Area = \frac{(10)(20)}{2}[/tex]   10 x 20 = 200

200 divided by 2 equals 100

so the areas = 100

You want to make a equation so it would be 5/8 + 2/8

Answers

Answer:

(random name) drinks 3/8 of the lemonade then later drinks 6/8 of the cranberry juice before (random name) goes to bed they put the lemonade and the cranberry juice together. How much is in the cup now?

Step-by-step explanation:

area of right triangle

Answers

base is 4 units
height is 6 units
6 x 4 = 24
24/2 = 12 units

Grayson ran 2 1/2 miles around the track .each lap is 5/6 of a mile .how many laps did Grayson run?

Answers

Given:

Number of miles covered = [tex]2\dfrac{1}{2}[/tex]

Length of each lap = [tex]\dfrac{5}{6}[/tex] of a mile.

To find:

The number of laps.

Solution:

We know that,

[tex]\text{Number of laps}=\dfrac{\text{Number of miles covered}}{\text{Length of each lap}}[/tex]

[tex]\text{Number of laps}=\dfrac{2\dfrac{1}{2}}{\dfrac{5}{6}}[/tex]

[tex]\text{Number of laps}=\dfrac{\dfrac{5}{2}}{\dfrac{5}{6}}[/tex]

[tex]\text{Number of laps}=\dfrac{5}{2}\times \dfrac{6}{5}[/tex]

[tex]\text{Number of laps}=3[/tex]

Therefore, Grayson ran 3 laps.

square root 7 squared

Answers

Answer:

the square root of 7 squared is 7 since the square roots cancels the square

Two angles, m • The m ABC is 54°
• The m JKL is (8x)".
What is the value of x?

Answers

Answer: 15.75°

Step-by-step explanation:

Supplementary angles simply refers to the angles that add up to 180°. The angles given in this case are 54° and 8x.

To find the value of x goes thus:

54° + 8x = 180°

8x = 180° - 54°

8x = 126°

x = 126°/8

x = 15.75°

Therefore the value of x is 15.75°

Which of the following are coefficient

Answers

Answer:

2 and -3

Step-by-step explanation:

because a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).

so in 2x-3y+5, 2 and -3 are the coefficients.

Please help me with this question, will mark brainliest if correct, PLEASE HURRY, no links or you'll be reported :)

Answers

Answer:

Given

ΔTQR is rightQS is altitudeΔRSQ and ΔTSQ also rightm∠TQS = 42°, RS = 26 cm

∠RQS and ∠TQS are complementary with ∠TQS, so are 48°

a)

∠QRS is the another one with 42°

b)

Find QS first

26/QS = tan 48°QS = 26 / tan 48° = 23.4

Find QT next

QS/QT = cos 42°QT = QS / cos 42° = 23.4 / cos 42° = 31.5 (rounded)

PLEASE HELP IM TIMED ON THIS!!!!!

After simplifying, what will x be equivalent to?
(a^4)^4=a^x

Answers

X= 16 is the answer for it

LT1 10th grade level. How tall I’d the building?

Answers

Answer: 99.2 m

Step-by-step explanation:

Given

The height of the flagpole is 35 m which is situated at 60 m

It is clear that the angle of elevation for the flagpole and building is the same, let say [tex]\theta[/tex]

from the figure, we can write

[tex]\Rightarrow \tan \theta=\dfrac{35}{60}=\dfrac{h}{170}\\\\\Rightarrow h=170\times \dfrac{35}{60}\\\\\Rightarrow h=99.166\approx 99.2\ m[/tex]

Thus, the height of building is 99.2 m

due in 10 mins, pls help !​

Answers

Answer:

3rd one

Step-by-step explanation:

Andrea bought tacos from a food truck and left a 25% tip of $2.00. What was the price of Andreas tacos, before tip?

Answers

Answer:

$8.00

Step-by-step explanation:

25% = 1/4

2.00 x 4 = 8.00

What is the value of x in this equation?


-4x + 8 = 42

Answers

Answer:

-4x+8=42

-4x+8-8=42-8

-4x=34

-4x/-4=34/-4

x = -8.5

this is right answer

Answers

Answer:

Ooooh ok. Thanks?

Step-by-step explanation:

What is the perimeter of the larger triangle?

Answers

Answer:

20 feet

Step-by-step explanation:

Since the given side on the first triangle is 6 feet, and the corresponding side on the second triangle is 8 feet, the second triangle will have a perimeter 8/6 times the length of the first triangle. Multiply 15 by 8/6:

15*(8/6)=

15*8/6=

120/6=

20

lmk if im wrong, hope this helps :)

It’s about 20 just divide just look at the smaller one and compare it

h(T)=-16T^2 +12t+10
when does the ball hit the ground

Answers

Answer: The ball will hit the ground in 2 seconds

Step-by-step explanation:

The formula for throwing a baseball in the air is represented by :

h = -16t² + 12t + 40

where h is the height of the ball and t is the time in seconds

Now we need to find after how many seconds will the ball hit the ground

When the ball hits the ground the height of the ball is 0

⇒ -16t² + 12t + 40 = 0

⇒ 4t - 3t - 10 = 0

⇒ 4t² - 8t + 5t - 10 = 0

⇒ 4t(t - 2) + 5(t - 2) = 0

⇒ t cannot be negative so t = 2

Hence, The ball will hit the ground in 2 seconds

what is the slope of the graph of y= -5/3x + 3/4

Answers

Answer:

slope = - [tex]\frac{5}{3}[/tex]

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 )

y = - [tex]\frac{5}{3}[/tex] x + [tex]\frac{3}{4}[/tex] ← is in slope- intercept form

with slope m = - [tex]\frac{5}{3}[/tex]

A chainsaw needs a 50:1 gas:oil ratio, how much oil do you need if you add 3 gallons of gas? no links!! links will be reported​

Answers

Answer:

3/50 of a gallon

Step-by-step explanation:

50 / 1 = 3 / x

cross-multiply:

50x = 3

x = 3/50

find the valué of x and y

Answers

Answer:

× = 4.56 and y = 36.56

Step-by-step explanation:

Ayan sagot

Answer:

x=15.56    y=30.05

Step-by-step explanation:

SOH-CAH-TOA (O=opposite, A=adjacent, H=hypotenuse)

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