What is the most appropriate method to solve the quadratic equation x²−16=0?
B. By factoring
A. By extracting the square root
C. By completing the square
D. By using the quadratic formula

Answers

Answer 1
By factoring

x^-16=9
(x-4) (x+4) + 0

x-4=0
x = 4

x+4=0
x = -4


Related Questions

can you solve this for me step by step please!!!

Answers

Answer:

60 DEG

Step-by-step explanation:

Angle on a straight line = 180 DEG

Equation:

4x + 2x + 90 DEG = 180 DEG

6x = 90 DEG

x = 15 DEG

Therefore,

angle LMN = 15 * 4 = 60 DEG

10 greater than less than, or equal to 5? Explain ​

Answers

Answer:

greater than because 10 is further to the right on a numberline than 5

Step-by-step explanation:

what is the equation of line that is perpendicular to the line: y=3x-6 and goes through the point ( -3 , 6 )

Answers

Step-by-step explanation:

y = 3x - 6

the slope of a line is always the factor of x in the equation. in our case here : 3 = 3/1.

the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope (crosses the original line in a right angle = 90 degrees) turns x and y upside-down and flips the sign.

so, in our case, it is -1/3.

the equation for the perpendicular line looks like this then :

y = (-1/3)×x + b

to get b we use the provided point and it's x and y values.

6 = (-1/3)×-3 + b = 1 + b

b = 5

so, the full equation of the perpendicular line is

y = (-1/3)×x + 5

guys pls help me!!!!!!

Answers

Answer:

[tex]x = 67[/tex]

Step-by-step explanation:

[tex]x = 67[/tex]

[tex]Alternate \:Intrerior \: Angles[/tex]

rewrite the equation in standard form y = - 3/4 x - 6

Answers

Answer:

Step-by-step explanation:

[tex]y =\dfrac{-3}{4}x -6[/tex]

Multiply the entire equation by 4,

[tex]4*y=\dfrac{-3}{4}x*4 - 6*4\\[/tex]

4y = -3x - 24

Add 3x to both sides

3x + 4y = -24

Add 24 to both sides

3x + 4y + 24 = 0

the profit per gallon of lemonade you sell is 5.00. you have enough supplies to make 12 gallons of lemonade describe the domain and range using inequalities

Answers

Answer:

5/12 is your answer

=^-^=


Your last 4 test scores are 65, 70, 80 and
70. If you want to finish with a 74
average, what do you need to get on your
fifth test?

Answers

Answer:

Step-by-step explanation:

74*5 = 370

370 - 65 - 70 -70 -80 = 85

So. you need to get 85 on your fifth test.

an artist spent 3/5 of an hour painting 1/4 of a mural. how kuch of the mural will be completed in one hour how long will it take to complete one mural

Answers

Answer:

2.4hrs or 2hrs 24 minutes

Step-by-step explanation:

3/5 × 4/1 = 12/5

60÷5=12

12×12=144

144÷60=2.4hrs

20% of the tickets sold at a water park were child tickets. If the park sold 50 tickets in all,
how many child tickets did it sell?
tickets

Answers

Answer:

= 10 tickets

Step-by-step explanation:

= 20% × 50

= 20/100 × 50

= 1000/100

= 10

what is 7/10 ÷ 3/8 ? plz i need help

Answers

Answer:

28/15

Step-by-step explanation:

have a wonderful day :)

Answer:

1 13/15

Step-by-step explanation:

7/10 ÷ 3/8

Copy dot flip

7/10 * 8/3

Rewrite

7/3 * 8/10

Simplify

7/3 * 4/5

Multiply

28/15

Change to a mixed number

15 goes into 28 1 time with 13 left over

1 13/15

What is the answer to 11(3x + 5y)

Answers

Answer:

33x + 55y

Step-by-step explanation:

1. To simplify this expression, we have to apply the distributive property. To utilize this property means to distribute (or multiply) the quantity outside the parentheses by the quantities inside the parentheses.

[tex]11(3x+5y)[/tex] [tex](11)(3x)+(11)(5y)[/tex] [tex]33x + 55y[/tex]

Therefore, the answer is 33x + 55y.

Distribute 11 to 3x and 5y
33x+55y

find the sum of 5(−3.4k−7)+(3k+21) I AM SO CONFUSED!!!!!

Answers

Answer:

Your answer is   -14k - 14   or     k = -1

Step-by-step explanation:

-17k - 35 + 3k + 21   ( Combine like terms )

-14k - 14

-14k = 14

k = -1

Hope this helps!

PLEASE HELP WILL MARK BRAINLIEST!

Answers

Answer:

P of rectangle = 2(L + W)

21 units = 2(n units + W)

21 units = 2nunits + 2W

21 = 2n + 2W

2W = 21 - 2n

W = 21 - 2n units.

2

on simplifying

10.5 - n units

The width of the rectangle is units (10.5 - n) units.

i think this is easy for yall but nor for me lol need help

Answers

Answer:

x = 14

Step-by-step explanation:

So because the sides are equal, that means that the angles are equal.

5x = 3x + 28

Step 1.) Subtract 3x from 5x which leaves you with 2x.

2x = 28

Step 2.) Divide 28 by 2, to get the variable on its own. This leaves you with 14

x = 14

Rationalise the denominator of: -7/(√11 - √5)​

Answers

[tex] \sf \underline{ \red{Solution - }} \\ [/tex]

Given,

[tex] \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} }} \\ [/tex]

The denominator is √11 - √5.

We know that

Rationalising factor of √a-√b is √a+√b.

Therefore, the rationalising factor of √11-√5 is √11+√5.

On rationalising the denominator them

[tex] \longrightarrow \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} \times \dfrac{(\sqrt{11} + \sqrt{5})}{(\sqrt{11} + \sqrt{5})} }} \\ [/tex]

Multiplying (√11 + √5) with both the numerator of the fraction.

[tex] \longrightarrow \sf{\quad { \dfrac{-7(\sqrt{11} + \sqrt{5}) }{(\sqrt{11} - \sqrt{5})(\sqrt{11} + \sqrt{5})} }} \\ [/tex]

Performing multiplication in the numerator and by using identity (a + b)(a - b) = a² - b², solving further in the denominator.

[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{(\sqrt{11})^2 - (\sqrt{5})^2} }} \\ [/tex]

Writing the squares of the numbers in the denominator.

[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{11 -5} }} \\ [/tex]

Performing subtraction in the denominator.

[tex] \longrightarrow \quad \underline{ \boxed{ \dfrac{ \textbf{ \textsf{-7 }}\sqrt{ \textbf{ \textsf{11 }}} - \textbf{ \textsf{7}}\sqrt{ \textbf{ \textsf{5 }}}}{ \textbf{ \textsf{ 6}}}} } \\ [/tex]

Hence, the denominator is rationalised.

Pls help! A B C,or D​

Answers

Answer:

c or d

Step-by-step explanation:

Answer:

D. y = -2x - 10

Step-by-step explanation:

Slope- intercept form:

y = mx + b

In the process of solving it was found that:

m = -2 and b = -10

The equation therefore is:

y = -2x - 10

Correct choice is D

The functions j(x)=x−1 and k(x)=3x+1 intersect at:
A. Infinitely many points
B. 2 points
C. 1 point
D. There are no intersection points

Answers

Answer:

C

Step-by-step explanation: for j(x) = k(x)

My English is not good, please forgive me

What is 45% of 345? Please help me I’m failing math

Answers

Answer:

155.25

Step-by-step explanation:

Answer:

155.25

Step-by-step explanation:

Since 45% is equal to 0.45, simply multiply 0.45 x 345 and youll get 155.25

EMMA CHNAGED £500 INTO RAND BEFORE GOING ON HOLIDY TO SOUTH AFRICA THE RATE OF EXCHANGE AT THE TIME WAS £1=10-RAND.HOW MANY RAND DID HE GET FOR HIS £500?

Answers

Answer:

he got 5000 rands for it

Step-by-step explanation:

you multiply it

500 x 10 = 5000

What is 75 times 38 to the power of 2

Answers

8,122,500
Hope it helps :)

HELP
In order to isolate the variable term in the equation 6 -2x = -3 using the subtraction property of equality, which number
should be subtracted from both sides of the equation?
-3
3
6
-2

Answers

6 should be subtracted from both sides of the equation if you want to isolate variable term

When The sum of 1. 3240 and 1. 4872 is subtracted from 4. 0121 it will give you the difference of

A. 1. 2109
B. 2. 0905
C. 1. 2009
D. 2. 7009​

Answers

Answer:

C. 1.2009

Step-by-step explanation:

1.3240 + 1.4872 = 2.8112

4.0121 - 2.8112 = 1.2009 - C

When Zack checked his solution, it didn’t work. What was his mistake?
In step 1, he should have used the multiplication property of equality.
In step 2, he should have a constant of – 4 on the right side.
In step 3, he should have divided both sides by StartFraction 6 Over 4 Endfraction.
In step 4, the answer should be positive.

Answers

Answer: its c In step 3, he should have divided both sides by  StartFraction 6 Over 4 Endfraction.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Solve:
4x + 1.21 > 5
HELP ME PLEASE

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x > 0.9475[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]4x + 1.21 > 5\\\rule{150}{0.5}\\\rightarrow 4x + 1.21 - 1.21 > 5 - 1.21\\\\\rightarrow 4x > 3.79\\\\\rightarrow \frac{4x>3.79}4}\\\\\rightarrow \boxed{x > 0.9475}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

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

Simplify each of the following:
a. √5+2√6 + √5-2√6
b.(√p^2+1 - √p^2-1) (√p^2-1 + √p^2+1)

Answers

2√5 exact form

4.47213595 decimal form

please help me lol !!!!!!!!!!!!!

Answers

Answer:

Sale kute bhan के lole

Tera baap aya ajju(^bhai 94

I need help with my math homework
2/3x+17≥29

Answers

Answer:

x ≥ 18

Step-by-step explanation:

Given the inequality statement, 2/3x + 17 ≥ 29,

Subtract both sides by 17:

2/3x + 17 - 17 ≥ 29 - 17

2/3x  ≥ 12

Multiply both sides by 3/2 to isolate x:

[tex](\frac{3}{2}) \frac{2}{3}x \geq 12 (\frac{3}{2})[/tex]

x ≥ 18

Write the equation of a line going through the points (2,2) and (4,-3) in slope intercept form.

Step 1: Find slope


Step 2: find b



Step by step answer please.

Answers

Answer:

the slope is y2 - y1 over

x2 - x1

which means

[tex]( - 3- 2) = - 5[/tex]

[tex](4 - 2) = 2[/tex]

slope is m= -5/2

then you take a y from the first set of points for b

[tex]y = - \frac{5}{2} x \times 2[/tex]

hope it helps.

show that P(x)=x³-6x²+11x-6 is divisible by x-1.​

Answers

HERE IS YOUR ANSWER MATE

HOPE ITS HELPFUL

HAVE A GREAT FUTURE

LOVE FROM INDIA

Hello haohaoxNienie!

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

Show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

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

To show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1, we must divide the polynomial by x - 1. If we get the remainder as 0, then we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

So, let's do the division (steps in the attached picture).

__________________

We got the remainder as 0. So, yes p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

More steps :-

x² - 5x + 6

= (x - 3) (x - 2) [use the splitting the middle term method].

So, the zeroes are,

(x - 3)

x - 3 = 0

x = 3 ⇨ 1st zero.

(x - 2)

x - 2 = 0

x = 2 ⇨ 2nd zero.

Now, use the values of x on the equation. If we get 0 as the solution of the equation then we can prove that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

p(x) = x³ - 6x² + 11x - 6

p(3) = 3³ - 6(3)² + 11 (3) - 6

p(3) = 27 - 54 + 33 - 6

p(3) = 0.

p(x) = x³ - 6x² + 11x - 6

p(2) = 2³ - 6(2)² + 11 (2) - 6

p(2) = 8 - 24 + 22 - 6

p(2) = 0

Since we got the solutions as 0 we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

Hope it'll help you!

ℓu¢αzz ッ

Is the statement “The absolute value of a number is always greater than its opposite” true?

Answers

Answer:

No; the absolute value of a negative number is equal to its opposite

Step-by-step explanation:

Other Questions
eseu importanta pasarilor in viata noastra Juna travels 15 mph for 10 hours find the distance piles per hour what is the relationship between electric field lines and equipotential surfaces? What effect does decreasing the sample size have on a distribution of sample means? Help me, please.Question: It is good to paraphrase when you are writing a letterwriting a poemwriting a short storywriting a research paper PLS HURRY AND HELPJermaine has experience as a math tutor. He earns money by tutoring his neighbors' children. He gets $20 for each student he tutors. If Jermaine does 10 groups of 2 students in one month, how much will Jermaine earn? Which of the following sentences from the story includes a simile?(A) She reached out for a branch to save herself from falling, but, to her horror, woody fingers twinedaround her wrists and gripped her tight.(B)After a squabble, they decided to bury her deep in the pool at the foot of the tree and roll a huge stoneon top of her(C)They picked their way nervously around the bogs until they found the huge stone, rising from the waterlike a coffin.(D)Ever since that night, the Moon has shone more brightly for the people of the marshland than anyoneelse. Please help! Its Geometry!!***WILL MARK BRAINLIST!!!! Referring to the figure, find the volume of the solid shown. Use 3.14 for . Round to the nearest whole number. What is metabolism? I know the answer. I need help pleaseee how was your weekend? share a little of what you did. if you went out.... where did you go/ what did you do? if you stayed home.... what did end up doing? please write at LEAST 3 full sentences for credit. What is the meaning of freedom? English Catholics were unhappy under:the English kingthe English kingLord BaltimoreLord BaltimoreQueen MaryQueen Mary an object applies force of 500n on the area if 10m. find the force exerted Negative 1/3 in decimal form 20.The total cost of 3 apples and 4 pears is 1.84The total cost of 5 apples and 2 pears is 1.76Work out the cost of one apple and the cost of one pear. (iii) Explain why magnesium chloride has a high melting point. 2x - 5y = 10 That is my question help please How does a balanced chemical equation demonstrate the Law of Conservation of Mass? (1 point)O it shows that only physical changes follow the Law of Conservation of MassO it shows that no atoms have been gained or lost during the reactionO it shows that the properties of the elements stay the same after the reactionO it shows that all compounds remain bonded after the reaction