vertex form equation 4(x+2)^2-81
what is the solution?​

Answers

Answer 1

Answer:

           x₁ = 2.5 ,   x₂ = - 6.5              

Step-by-step explanation:

[tex]4(x+2)^2-81=0\\\\4(x+2)^2=81\\\\(x+2)^2=\frac{81}4\\\\x+2=\sqrt{\frac{81}4}\quad\vee\quad x+2=-\sqrt{\frac{81}4}\\\\x=\frac92-2\qquad\vee\quad\ x=-\frac92-2\\\\x=\frac52\qquad\vee\quad\ x=-\frac{13}2[/tex]


Related Questions

For Judy's birthday, her friends gave her a gift card. She went to the clothing store and bought a total of $178.25 worth of clothing. Judy used all of the money on the gift card to pay for part of the total. She paid the remaining $71.30 with cash. Which percentage best describes the part of the total Judy paid for with the gift card?

Answers

Answer:

60%

Step-by-step explanation:

Firstly, we want to solve for the amount on the gift card

the total cost is $178.25

the cash payment is  $71.30

then the value of the gift card is

=$178.25- $71.30

=$106.95

Therefore the percentage of the gift card to the total pay is

=(106.95/178.25)*100

=0.6*100

=60%

Use the side lengths of triangle DEF and the fact that the triangles are similar to find the measure of angle E and type your answer below. (Note: Do NOT include a unit label in your answer.)

Answers

Answer:

Angle E = 65 degrees

Step-by-step explanation:

Since triangle DEF is similar to triangle BAC, angle E = angle A = 180 degrees - angle B - angle C = 180 degrees - 90 degrees - 25 degrees = 65 degrees


[tex] \frac{100}{1000} = {10}^{x} [/tex]

Answers

Exact Form:
X=1/100

Decimal form:
X=0.01

(1.028 x 10") + (4.9x109)
Write in scientific notation.

Answers

Answer:

5.4438x10 02

Step-by-step explanation:

when u see this " don't look at it as something to add when your using the calculator just do this (1.028x10)+(4.9x109) don't do this (1.028x10")+(4.9x109) there just trying to trick u, os u can get the wrong answer.

Salon he runs 1/5 of a mile in 1/20 of an hour he swims 2/3 of a mile and 1/9 of an hour he bikes for miles in a quarter of an hour at these rights how many minutes does it take being to run 2 miles swim 2 miles in bike eight

Answers

Answer: 30 mins + 30 mins + 20 Mins

= 80 Minutes

A figure is located entirely in the third quadrant. If it is reflected over the y-axis, what will the signs of the coordinates be?

Answers

Answer:

Step-by-step explanation:

Hello friend!!!

The signs of the coordinates will be ( - , - )

This is because it is located in the third quadrant and the coordinates of any point on the third quadrant are ( - , - )

Hope this helps

plz mark as brainliest!!!!!!!

The signs of the coordinates should be ( - , - )

Signing of the coordinates:

Since we know that there are 4 quadrants. In 1st quadrant, the sign is (+,+). In the 2nd quadrant, the sign is (-,+). The 3rd quadrant, the sign is (-,-), And, the fourth quadrant, the sign is (+,-),

So based on this, the above sign should be considered.

learn more about coordinates here: https://brainly.com/question/13596846

Okay for real, does anyone know 10.8 x 9?

Answers

Answer:

10.8 x9= 97.2

An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per

Which equation can be used to find the volume, V, of the water in the pool t minutes after draining begins?


A- V = 12t - 19200
B- V= 19200- 12/60t
C- V= 12/60t- 19200
D= V= 19200- 12t

PLEASE HELP ASAP
PLEASE EXPLAIN HOW YOU GOT THE ANSWER

Answers

Answer:

The answer is

D. V= 19200- 12t

Step-by-step explanation:

in this problem, we already know that the pool contains 19200 gallons of water

and the pool is draining at 12 gallons per minutes, hence the volume is decreasing at that rate

Therefore for t minutes it will decrease by 12t

hence the volume after t minutes will be

V= 19200-12t

Write the equation of the line that passes through (10,-3) and (-20,9) in slope intercept form

Answers

Answer:

[tex]y=-\frac{2}{5}x+1[/tex]

Step-by-step explanation:

Write in slope-intercept form,  y = m x + b .

A sail on a boat is shaped like a triangle as shown. What is the area of the sail? Show your work need help asap ​

Answers

Answer:7.4 is the correct asnwer actually. I did it wrong. The formula is height times base divided by 2. So 3.7x4=14.8   14.8/2=7.4

Step-by-step explanation:

What is the slope of the line in the graph?

Answers

Answer:

The slope of the line in the graph is 1.

Step-by-step explanation:

Slope is determined by rise over run. Meaning that the number of units the slope goes up/down divided by the number of units the slope goes to the left/right is the slope. The rise is one, and the run is one. 1 over 1 equals 1.

Answer:

The slope of the line is 1.

Step-by-step explanation:

If you can either use rise over run to dtermine the slope or use the point slope formula. For example, take the two points (0,1) and (1,2) using the point slope formula, you'll get 1 in the end.

Which illustrates the construction of a perpendicular to a line from a point not on the line?

Answers

Answer:

the construction of a perpendicular to a line from a point not on the line is

option.D

what is x ?
what is y ?

Answers

pls double check bc sometimes im wrong ykyk

Answer:

x = 100º

y = 100º

Step-by-step explanation:

180º = 80º+y

180º-80º = 80º-80º+y

100º = y

x and y are equal so x is also 100º

description of inverse mode​

Answers

Answer:

An inverse function is a function that undoes the action of the another function. A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing.

⚠️WILL GIVE BRAINLIEST ANSWER⚠️

In complete sentences describe how you solve the expression below:


[tex] - 36 \div ( - \frac{4}{9} [/tex]

Answers

Answer:

81

Step-by-step explanation:

put -36 over 1 and -4/9 in its reciprocal which is -9/4 and multiply.. -36(-9)=324

then multiply -1 by -4=4 now you have 324/4 which is simplified to 81..

PLEASE GIVE BRAINLIEST REALLY NEED IT

In ASTU, u = 280 inches, 2T=63° and ZU=29º. Find the length of t, to the nearest
10th of an inch.

Answers

Answer:

514.6

Step-by-step explanation:

lb. = 196 oz. how many pounds is it?

Answers

Answer:

12.25

Step-by-step explanation:

convert 8o liters to gallons. round answer to the nearest tenth.

Answers

Hello there! Your correct answer would be 21 gallons.

When you convert 80 liters to gallons.. It would be 21 gallons.

In a short answer... You could use google or your notes. I prefer your notes, as that'll help you much more than google.  

✨ There is your answer, have a nice day! ✨

(Kinda figured you meant "80")

⌨ Please give me brainlest!! ⌨

1. which ratio is equal to 15/20?
5/4
3/5
3/4
4/3

Answers

Answer:

3/4

Step-by-step explanation:

15/5=3

20/5=4

What are number properties

Answers

Answer:

Below

Step-by-step explanation:

There are four basic properties of numbers: commutative, associative, distributive, and identity.

Communitive:

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.

Associative:

This property states that when three or more numbers are added (or multiplied), the sum (or the product) is the same regardless of the grouping of the addends (or the multiplicands). Grouping means the use of parentheses or brackets to group numbers. Associative property involves 3 or more numbers.

Distributive:

To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Idenity:

The identity property of 1 says that any number multiplied by 1 keeps its identity. In other words, any number multiplied by 1 stays the same. The reason the number stays the same is because multiplying by 1 means we have 1 copy of the number.

These are just very few answers that I have found from google because it would be rather hard for me to explain it in my point of view, therefore if this should or maybe the number properties you are thinking of.

Answer:

commutative, associative, distributive, and identity.

Step-by-step explanation:

commutative = a + b = b + a; numbers can be added in any order and you will still get the same answer.

associative = (a + b) + c = a + (b + c) ;states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'.

distributive: a (b + c) = a(b) + a(c); tells us how to solve expressions in the form of a(b + c).

identity: a + 0 = a; a - 0 = a; 0 has no value, so adding or subtracting numbers to 0 will just equal the number

What is the domain:
What is the range:

Answers

Answer:

Domain: [-4,4]

Range: [-4,6]

Step-by-step explanation:

To domain pertains to the x-coordinates, while the range pertains to the y-coordinates.

Looking at the graph, we can see that the farthest point to the left is (-4,3) and the farthest point to the right is (4,6). Now, we know that the domain is [-4,4].

Looking at the graph, we can see the highest point is (4,6) and the lowest point is (0,-4). Now, we know the range is [-4,6].

Now, we know that the domain is [-4,4] and the range is [-4,6].

What is 8/2(2+2). I hear so many answers that it’s 16 or 1. Which one is right?

Answers

Answer:

1

Step-by-step explanation:

How do you divide a mixed number into a whole number

Answers

Answer:

Rules for division with a mixed number and a whole number

The mixed number is converted into an improper fraction and the whole number is written as a fraction with denominator 1.

 2.Division of the fractions is converted into a multiplication operation by multiplying the improper fraction with the reciprocal of the whole number.

 3.The resulting fraction, if required, is written as a mixed number in simplest   form.

I WILL GIVE YOU EXAMPLES AND LET ME JUST HOPE YOU GET IT ;)Example1: Divide. Write your answer as a mixed number in simplest form. 213÷7 Solution Step 1: First, we write the mixed number 213 as an improper fraction 213=(2×3+1)3=73; 7=71 Step 2: The division is converted into multiplication as follows 213÷7=73÷71=73×17 Step 3: Multiplying numerators and denominators 73×17=(7×1)(3×7)=721 Step 4: 721 can be simplified and written as follows 721=13 Step 5: So, 213÷7=13example2: Divide. Write your answer as a mixed number in simplest form. 5÷134 Solution Step 1: First, we write the mixed number 134 as an improper fraction 134=(1×4+3)4=74; 5=51 Step 2: 5÷134=51÷74=51×47 Step 3: Multiplying numerators and denominators 51×47=(5×4)(1×7)=207 Step 4: 207 can be written as a mixed number as follows 207=267 Step 5: So, 5÷134=267OK HOPE THIS HELPS YOU :')PLEASE MARK ME BRILLIANT :3 THANK YOU -

Answer:First step: Write the whole number and the mixed number as improper fractions.

Second step: Write the reciprocal of the divisor, 2/5, and multiply.

Third step: Simplify, if possible. ...

Fourth step: Perform the simple multiplication of the numerators and the denominators.

Step-by-step explanation:

Solve the equation
below. Show all of your
work.
5x = 45

Answers

You should write it
X= 45/5
Than:
X=9/1 or hust straight x=9
X=9
5x = 45

Step 1: Divide both sides by 5.

5x/5 = 45/5

Answer: x = 9

A quadratic equation of the form 0=ax2+bx+c has a discriminant value of -16. How many real number solutions does the equation have?

A. -1
B. 0
C. 1
D. 2

Answers

Answer:

Here u go bucko

Step-by-step explanation:

A quadratic equation ax^2+bx+c has no equal roots when discriminate that is when b^2-4ac is less than 0.

Answer:

0

Step-by-step explanation:

No real solution

HELP!!! PLEAS AND THANK YOU

Answers

it is moving away from earth.

explanation: when an object moves away from us the light shifted to the red end of the spectrum as its wavelengths get longer

how do you find a slope on a graph

Answers

Answer:

rise over run

Step-by-step explanation:

I personally use rise over run and it works

find the value of x. WILL GIVE BRAINLIEST!!!
I need help
I need to show the equations and show my work
THANK YOU

Answers

Answer: x = 16

Step-by-step explanation:

24 + 2 + 4x = 90

26 + 4x = 90

4x = 64

x = 16

Terminating decimal examples

Answers

Answer:

0.5, 2.456, 123.456, 0.12345, etc

Step-by-step explanation:

The definition for terminating decimal is; a decimal numeral in which, after a finite number of decimal places, all succeeding place values are 0, as ⅛ = 0.125 (contrasted with nonterminating decimal).

i need help plz ill give brainliest ​

Answers

Answer:

its either between D or C  but i would pick D because the line looks like it dosen't pass through orgin (0,0).

Step-by-step explanation:

To determine whether x and y have a proportional relationship, see if the line through these points passes through the origin (0, 0). The points are on a line that passes through the origin. So, x and y have a proportional relationship.

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