Answer:
taking the square root of both sides of the equation
Step-by-step explanation:
The operation which is performed in the derivation of the quadratic formula moving from Step 6 to Step 7 is taking the square root of both sides of the equation.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given two steps in deriving the quadratic formula which is used to find the roots of a quadratic equation.
The first step is,
step 6 : (b² - 4ac) / (4a)² = (x + b / 2a)²
step 7 : ± √(b² - 4ac) / 2a = x + b / 2a
We have to find which step is done in between to transform from step 6 to step 7.
It is clear that square root is taken.
When the square root is taken in step 6,
±√[(b² - 4ac) / (4a)²] = √[(x + b / 2a)²]
√(b² - 4ac) / √(4a)² = √(x + b / 2a)²
± √(b² - 4ac) / 2a = x + b / 2a
Hence the step performed is taking the square root on both sides.
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Manny runs 15 3/4miles each week. Zander runs
5/6
olu
as many miles each week as Manny.
How many miles does Zander run each week?
Answer: Zander Runs, 13.125 miles. You take the mixed number and change it into an improper fraction. So you get 63/4 then multiply that by 5/6 and get 13.125 miles there is your answer. I hope this helps you
Step-by-step explanation:
here is the screenshot for anyone who is willing to help me
Answer:
1. 6,000
2. 7,000-4,000=3,000
3. 0
4. 15
5, 6/8 7/8
6. greater than
7. equal to
8. 520,685
9. the 5
10a. 3210
10b. 2346
--------------------
1. 7,000
2. all of them
3. two
4. 3
5. 2
6. b
7a. 3 b. 2
8. 14/30
9. 3/8
10. N=175
Step-by-step explanation:
estimate 7/8 of 4/5. I will give brainiest
Answer:
0.7
Step-by-step explanation: I used a calculator.
Find x.
20 cm
12 cm
Х
X =
cm
Which simplified ratio correctly compares 30 inches to 2 feet?
01:15
O 15:1
O 5:4
04:5
Answer:
15:1
Step-by-step explanation:
30/2=15
2/2 = 1
15:1
what is 100 × 100
A: 1000
B: 700
C: 200
D: None of the Above
Answer:
The answer is 10,000
Step-by-step explanation:
So the answer is not there so it is none of the above
it cost Naomi $7.70 to send 154 text messages how many text messages did she send if she spent $5.25
Answer:
105 text messages
Step-by-step explanation:
7.70 divied by 154 = 0.05
0.05 per text massage
5.25 divided by 0.05 = 105
to check work:
105 times 0.05 = 5.25
Answer:
The answer to your question is 105 i had the same problem as you
4/9 + 2/7 simplest form
Answer:
46/63
Step-by-step explanation:
Answer:
46/63
Step-by-step explanation:
4/9 +2/7
4/9*7/7+2/7*9/9
28/63+18/63
46/63
that is the simplest form, no simplifying can be applied
46/63
please help!!! k need this answer
Danny purchases a shirt for $30. The store charges him 8% sales tax on the purchase. How much sales tax will the store charge on the purchase?
Answer:
tax = $30.00 * 8% tax = $30.00 * 0.08 tax = $2.40
Step-by-step explanation:
Order the numbers from least to greatest
Answer:
1. sqrt of 7, sqrt of 22, 5
2. 2, sqrt 8, 3, sqrt 10
3. 2.5, sqrt 9, pi
4. pi, sqrt 10, 3.5
Step-by-step explanation:
Find the value of each expression
-22-(-5)
Answer:
-17
Step-by-step explanation:
-22-(-5) = -22+5 = -17
Answer:
the answer is -17
Step-by-step explanation:
-22-(5)-22+5=-17
What is happening to the pieces (units) when the numerator and denominator are getting larger?
I NEED HELP!!!!!!
Answer:
the number itself, (units) are getting bigger
Step-by-step explanation:
HURRY PLEASE!!! IM BEING TIMED. I WILL GIVE YOU BRAINLIEST!
Answer:
Josh charges $5 more than Lindsay
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
lindsay's equation is y=6x+15.
you compare the first row and second row to find the cost per dog and then subtract from the total to find the initial cost.
The radius of a circle is 13 in. Find its area in terms of
π
Answer:
169pi in. squared
Step-by-step explanation: 13x13xpi
The table and graph shows the height and weight of 10 basketball players. Which statement is true
Answer:
"a 72 inch player would probably weigh about 160 pounds"
Step-by-step explanation:
The student council needs posters for the Winter Carnival. The print shop charges $15 for each print job. Each poster will cost an additional
$1.35.
Which equation shows the relationship between the number of posters, n, and the total cost, c, in dollars?
O A. c = 1.35n + 15
O B. n = 1.35n + 15
O C. c = 16.35n
O D. n = 16.35c
Answer: A. c = 1.35n + 15
Step-by-step explanation:
Given: Charge for each job = $15
Additional cost per poster = $ 1.35
Total cost = Charge for each job + (Additional cost per poster) (Number of posters) ...(i)
Varaibles:
c= Tota; cost for n posters.
Substitute all values in (i), we get
[tex]c=15+1.35n[/tex]
Hence, the required equation : c = 1.35n + 15
Hence, the correct option is A. c = 1.35n + 15.
Olivia is cutting a 1 1/2 m by 3/4 m piece of rectangular paper into two pieces along its diagonal.
Find the area of each of the pieces.
Answer:
[tex]area = length \: \times \: width \\ = \frac{11}{2} \times \frac{3}{4} \\ = \frac{(11 \times 3)}{(2 \times 4)} \\ = \frac{33}{8} \\ area = 4.125 \: {m}^{2} \\ or \\ area = 4 \frac{1}{8} \: {m}^{2} [/tex]
What is the solution for x divided by 9>4
Answer:
x>36
Step-by-step explanation:
Multiply 4 by 9 to get x>36
BIG COW LITTLE COW FAT COW ADORABLE COW
BIG RAT LITTLE RAT FAT RAT ADORABLE RAT
BIG CAT LITTLE CAT FAT CAT ADORABLE CAT
Answer:
BIG DOG LITTLE DOG FAT DOG ADORABLE DOG
BIG LLAMA LITTLE LLAMA FAT LLAMA ADORABLE LLAMA
BIG ELEPHANT LITTLE ELEPHANT FAT ELEPHANT ADORABLE ELEPHANT
At soccer practice, Tracey's best kick traveled a distance of 1,200 inches. For how many yards did she kick the ball? Express your answer as a
fraction written in simplest form.
Answer:
100/3 yards
Step-by-step explanation:
36 inches=1 yard, so 1200/36 will equal how many yards 1200 inches is.
Simplify:
1200/36
divide numerator and denominator by 12 and you get 100/3
100/3 yards
Tracey kicks the ball for 100/3 yards.
Given that, at soccer practice, Tracey's best kick travelled a distance of 1,200 inches.
We need to find out for how many yards did she kick the ball.
How to convert inches to yards?Inch-to-yard conversion explanation
So to convert from a value in inches to one in yards, we need to divide by 36. To convert a value in yards to inches, we need to multiply by 36.
Now, the number of yards =1200/36=100/3
Hence, Tracey kicks the ball for 100/3 yards.
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The point (-6, 5) was translated right 4 and down 6. What are the coordinates of the new
point?
O (10,11)
O (-2,1)
O (-2,-1)
O
(-10, 11)
HELP I DONT UNDERSTAND OR MAYBE I DO BUT IM YK I JUST NEED HELP PLEASE
Answer:
9/16
Step-by-step explanation:
;)
Answer:
-0.5625
Step-by-step explanation:
-0.75 x 0.75 = -0.5625
Help me please?? ????
Answer:
40 days
Step-by-step explanation:
8 × 5 = 40
[character limit pass]
The U-Pick-It Farm wants to find out which type of berries their customers
prefer to pick.
Determine which of the following would result in an unbiased sample set.
Customers who are picking blueberries
Customers who have not started picking berries
Customers who are picking raspberries
Customers who are picking strawberries
Answer:
Customers who have not started picking berries
Step-by-step explanation:
this is becuase the costomers have not started so there is not an assumption yet. If they are picking blueberries, raspberries, or strawberries you already know what they prefer to pick.
Devante has a lunch account in the school cafeteria His starting balance at the beginning of the month is $35.50. The first wook, Davante bought 3 lunches and his account balance was $28.00. The second week. Devante
bought 5 lunches and his account balance was 515 50
In a model that relates the balance of his lunch account as a function of the number of lunches he buys, what does the rate of change represent?
A: the number of lunches he purchases
B: the starting balance of his lunch account
C: the amount of money in his lunch account
D: the amount of money he pays for each lunch
Answer:
D the amount of money he pays for each lunch
Step-by-step explanation:
In each lunch Devante has, he pays 2,50 $ according to:
Money in t = t₀ he has 35,50 $ paid 3 lunches and spent
35,50 - 28 = 7,5
Then the cost of each lunch is 7,5 / 3 = 2,5 $
After that
bought 5 lunches and spent 28 - 15,5 = 12,50
Again 12,5 / 5 = 2,5 $
Now the model for the situation is a straight line with a slope 2,5
In an x , y cartesian system in which y is money in the account and x is the number of lunches, such a straight line will be
y = b - m*x ( b the intercept on y and m the negative slope)
y = 35,50 - 2,5*x
So answering the question is lyrics D the amount of money he pays for each lunch
Please answer this correctly without making mistakes
Answer:
16
Step-by-step explanation:
The distance is given by
d = sqrt( (x2-x1) ^2 + ( y2-y1) ^2)
Since the x values are the same
d = sqrt( ( y2-y1) ^2)
d = sqrt( (( -6 - 10)^2))
d = sqrt((-16) ^2)
d = 16
We can also just find the number of squares between the points since the x value is the same.
10 - -6
10+6
16
Answer:
16
Step-by-step explanation:
10 - -6 = 10 + 6 = 16
20% of Aussies have blue eyes. If 4 Aussies in a play group have blue eyes, how many Aussies are in the group?
Answer:
20
Step-by-step explanation:
Step 1: 4 = 20% × Y
Step 2: 4 = 20/100 × Y
Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:
Step 3: Y = 4 × 100/20
Step 4:Y = 4 × 100 ÷ 20
Step 5: Y = 20
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
20% = 4
100% = 20
The total number of people in the group is 100 people.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
We have,
Number of Aussies with blue eyes = 4
Percentage of blue eyes in the Aussies = 20%
This can be written as:
20% = 4
Now,
The percentage of the total number of people in the group = 100%
So,
20% = 4
Multiplying 5 on both sides.
5 x 20% = 5 x 4
100% = 20
This means,
The total number of people in the group is 100.
Thus,
The total number of people in the group is 100 people.
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solve the question below
Answer:
The answer is below
Step-by-step explanation:
1) A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.
Given that triangle ABC is right angled and AC = 25 cm = hypotenuse and BC = 15 cm. Using Pythagoras:
AC² = BC² + AB²
25² = AB² + 15²
AB² = 25² - 15²
AB² = 400
AB = √400
AB = 20 cm
Using sine rule:
[tex]\frac{sin(B)}{AC}=\frac{sin(A)}{BC}=\frac{sin(C)}{AB}\\\\But\ \angle B= 90^o(right\ angle)\ hence:\\\\ \frac{sin(B)}{AC}=\frac{sin(A)}{BC}\\\\\frac{sin(90)}{25}=\frac{sin(A)}{15}\\\\sin(A)=\frac{sin(90)}{25}*15\\\\sin(A)=0.6\\\\A=sin^{-1}(0.6)\\\\A=36.87^o[/tex]
2)
Using Pythagoras:
hypotenuse² = 8² + 6²
hypotenuse² = 100
hypotenuse = √100
hypotenuse = 10
Using sine rule:
[tex]\frac{sin(x)}{8}=\frac{sin(90)}{10}\\\\sin(x)=\frac{sin(90)}{10}*8\\\\sin(x)=0.8\\\\x=sin^{-1}(0.8)\\\\x=53.13 ^o[/tex]
2. The cost of a home entertainment center is $4700. We can finance this by paying $300 down and
$388.67 per month for 12 months.
a. Determine the amount financed.
b. Determine the total installment price.
c. Determine the finance charge.
Answer:
well. 372.
You don't have to buy a house. It doesn't really matter tho
You can live in an apartment or even hotel/motel. Enjoy
Step-by-step explanation: