using the method of completing the square to solve the quadratic equation ::
x^2-20x+24=0
which number would have to be added to "complete the square"?
Answers
Answer:
100 should be added to 'complete the squre'
Step-by-step explanation:
\( {x}^{2} - 20x + 24 = 0 \\ ( {x}^{2} + 2 \times 10 \times x + {10}^{2}) - {10}^{2} + 64 = 0 \\ {(x - 10)}^{2} - 100 + 64 = 0 \\ {( x - 10)}^{2} - 36 = 0 \\ {(x - 10)}^{2} = 36 \\ (x - 10) = \pm 6 \\ x = 10 \pm 6 \\ x = 10 + 6 \: \: or \: \: x = 10 - 6 \\ x = 16 \: \: or \: \: x = 4\)
Related Questions
1.) Last week, the price of grapes at the farmer's market was $1.50 per pound.
This week, the price has decreased by 15%. What is the price of grapes this week?
Answers
.85 x 1.5 = 1.275
OR
.15 x 1.5 = 0.225 // 1.5 - 0.225 = 1.275 or 1.28
$1.50- 15% = 1.275 ( round up)
The price of a visit to the dentist is $50. If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.
If the dentist finds n cavities, what will the cost of the visit be?
Write your answer as an expression.
So the answer is 50+100n
You can see the step by step answer below.
Answers
50+100n is the answer, hope I helped :D
Please Help!!!!
I will give brainly
Answers
Answer:
#1 2934 #2 1025
Step-by-step explanation:
#1
SA - top = B + Ph
SA = 504 + 2430
SA = 2934
I couldn't see one of the values, so I would assume its 5 1/2
#2
SA - top = B + Ph
SA = 154 + 871
SA = 1025
Your family Used two full tanks of gasoline on a road trip. Your car drives about 25 miles per gallon on a road trip. Your car drives about 25 miles per gallon and the tank holds 12 gallons of gasoline.
1. Find the Approximate Number of gallons of gasoline used on the trip.
2. Find the approximate Number of miles you drove on the trip.
3. Assume Gasoline costs $4.50 per gallon. How much did you spend per mile on Gasoline?
4. You have $60 to spend on gasoline for another trip. The trip is 350 miles. You spend the same amount per mile on gasoline as on the first trip. Do you have enough money for gasoline? Explain
Please explain how to get the answer. In simple words please so I can understand.
Answers
Answer:
1 : 24
2: 600
3: 112.5
4: no i need 63 $
Step-by-step explanation:
1: 12*2=24
2: 24*25=600
3: 24*4.5=112.5
4:350 miles = 14 galoon=14*4.5=63$
What is the equation of the line that passes through the point (2,-5) and is parallel to the line 6x+y=6
Answers
Answer:
y = -6x + 7
Step-by-step explanation:
help me pls my mom is yelling at me to do this and i have no idea how to do it.
Answers
Answer:
10x+y
Step-by-step explanation:
The number of people between the ages of 2 and 18 who accessed streaming media on the internet in November 1999 increased by 65% to about 7 million in November 2000. About how many people in this age group accessed streaming media in November 1999?
Plz Help!
Answers
Answer:
about 4,242,424 in the year of 1999
Step-by-step explanation:
A store has 11.2 kg of potatoes. Maria buys 572 g of potatoes from the store and Colin buys 1.42 kg of potatoes from the store.
After these two purchases, how many grams of potatoes does the store have left?
Answers
Answer:
2.84
Step-by-step explanation:
There are 18 cupcakes. How many ¾ size servings can you make?
Answers
explain constraint of domain on parabola graphs
Answers
Answer:The set of possible values for the independent variable is called the domain. Similarly, there are constraints on the values for any dependent variable. ... Graphs of functions are traditionally drawn with the independent variable on the horizontal axis and the dependent variable on the vertical axis.
Step-by-step explanation:
9. Expand using identites.
1) (3/2 m - 5n) (3/2 m + 5n)
Answers
Answer:
(3/2 m)^2 -(5n)^2^
Step-by-step explanation:
Answer: 9m^2 / 4 - 25n^2
Step-by-step explanation:
Use the identity: (a-b)(a+b)=a^2 - b^2
substitute values of a and b, where a=3/2m and b=5n.
The following simplifies to (3/2m)^2 - (5n)^2.
PLZ HELP RN! I WILL GIVE BRAINLIEST AND 20 POINTS TO BEST ANSWER AND NO LINKS!!!!
Let me rephrase that NO.FRIDGING.LINKS! OR FAKE ANSWERS! AND MAKE SURE TO GIVE A FULL ANSWER AND NOT A BAD ANSWER
Also, just in case you still don't understand, if you reply just to get points, I will legit call brainly and tell them I want my points back fyi. Thank you! :D
Answers
Answer:
42 a : (>) B(<)
43. b
44.????
Step-by-step explanation:
im soooo sorry but i dont know 44
PLEASE HELP ASAP!!!
Answers
Answer:
38
Step-by-step explanation:
Because the total of all interior angles of a triangle is equal to 180, add 104 and 38 to get 142. Then subtract 142 from 180, and you get 38.
Answer:
142
Step-by-step explanation:
104 + 38 = 142
180 - 142 = 38
180 - 38 = 142
Please help with this equation :) I will give 58 points and I will give brainliest.
Answers
2x+3 + x+1 = 3x+4
X technically is 1x but we assume the 1 is there so it isn’t there on paper
Answer: C
Step-by-step explanation: If you add both expressions together you get 3x+4 but then because it would be on both sides of the rectangle it would be times 2 of that expression so 3x+4 times two would be 6x+8
Please help me due tomorrow
Answers
Answer: Surface Area = 2 x (5x2 + 3x2 + 5x3) = 62 centimeters
Surface area of a right rectangular prism = 2(lh + wh + lw)
Step 1: Label the Given-
Length (l) = 5cm, Width (w) = 3cm, Height (h) = 2cm
Step 2: Replace the given-
Surface Area = 2 x (5x2 + 3x2 + 5x3)
= 2 x (31)
Surface Area = 62 centimeters
Horus got his answer, by applying only what lays inside the parentheses. To get the right answer, Horus must multiply what they got by 2:
2 x (31) = 62 centimeters
Answer:
SA= 15+6+10+10+15+6 = 62
Step-by-step explanation:
take your top rectangle multiply length and width= 15
Take the one right below it take the 2cm, and multiply it with 3=6
after that one doe 3x5 again=15
Then, 3x2=6
And then 5x2=10
And then once more=10
Please help me find the radius of the button.
Answers
Answer:
The radius of given Circle is 13 mm
Step-by-step explanation:
For a given Circle
Diameter (d) = 26 mm
For Radius (r) = Diameter/2
r = d/2
= 26/2
r = 13 mm
Thus, The radius of given Circle is 13 mm
-TheUnknownScientist
Explanation:
If xx and y vary directly and y is 21 when x is 7, find y when x is 5
Answers
Answer:
y = 15
Step-by-step explanation:
We need to solve for k
y = x
21 = 7k Divide both sides by 7 to solve for k
3 = k
y = xk
y = 5(3)
y = 15
Answer: y = 15
Step-by-step explanation:
QUICK ITS DUE IN 10 MIN !! ILL GIVE BRAINLIEST
The area of the woodland ecosystem is 19,900 square feet at the end of 2020 due to some deforestation. What was the population density of the new deer population at the end of 2020?
This is also part of science
Answers
Answer: I think its 18,000
Step-by-step explanation:
A makeup artist purchased some lipsticks and wants to wrap them individually with gift wrap. Each lipstick has a radius of 0.4 inch and a height of 2.2 inches. How many total square inches of gift wrap will the makeup artist need to wrap 3 lipsticks? Leave the answer in terms of π.
2.08π square inches
6.24π square inches
8.32π square inches
19.59π square inches
Answers
Answer:
\(6.24\pi \: {in}^{2} \)
Step-by-step explanation:
Given:
r (radius) = 0,4 in
h (height) = 2,2 in
n (the number of lipsticks) = 3
Find: A (total surface area) - ?
First, we have to find how much gift wrap will the makeup artist need to wrap one lipstick:
\(a(surface1) = 2\pi {r}^{2} + 2\pi \times r \times h\)
\(a(surface1) = 2\pi \times ({0.4})^{2} + 2\pi \times 0.4 \times 2.2 = \frac{52\pi}{25} \)
Now, let's multiply this number by the quantity of lipsticks the makeup artist has to wrap:
\(a(total) = \frac{52\pi}{25} \times 3 = \frac{156\pi}{25} = 6.24\pi \: {in}^{2} \)
6.24t in?
Step-by-step explanation:
Given:
r (radius) = 0,4 in
h (height) = 2,2 in
n (the number of lipsticks) = 3
Find: A (total surface area) - ?
First, we have to find how much gift wrap will the makeup artist need to wrap one lipstick:
a(surfacel) = 27/2 + 27 xrx h
a(surface1) = 27 × (0.4)? + 27 x 0.4 x 2.2 = 525
Now, let's multiply this number by the quantity of lipsticks the makeup artist has to wrap:
a(total) = 55 × 3=46 = 6.24rin? R is pi
Which situation can be modeled by the equation 45−2.50x=11.50?
Possible Answers:
A: A stock with an original value of $45.00 decreases by $2.50 each week. After how many weeks, x, is the stock worth $11.50?
B: Cassie deposits $45.00 into a savings account with an annual interest rate of 2.50%. After how many years, x, will Cassie have $11.50 in interest?
C: The cost to pick apples is $2.50 plus $11.50 per pound of apples picked. How many pounds of apples, x, can be picked for $45.00?
D: Adam has $2.50 in his bank account. He deposits $11.50 into the account each month. After how many months, x, will Adam have $45.00?
Answers
Answer:
the answer is A i believe
Step-by-step explanation:
Express the following sums and summation notation.
pls help me, i need this for tomorrow
Answers
For question 6 the answer is 91 just add the numbers
Which expression represents the following calculation?
Find 7.4 times the difference between 87 and 24.
Possible answers (choose one but explain why you choose it, thanks.)
A. 7 . 4 × 87 − 24
B. 24 × ( 87 − 7 . 4 )
C. 24 × 87 − 7 . 4
D. 7 . 4 × ( 87 − 24 )
Answers
Answer: The expression that represents the following calculation is 7.4 × (87 - 24).
Step-by-step explanation: According to BODMAS, we can solve this question. In BODMAS, we have to solve the following in order :
B => Bracket
O => Of
D => Division
M => Multiplication
A => Addition
S => Subtraction
Using BODMAS, we can solve this question by solving the Bracket first. Then as in the Bracket, we have Subtraction, so we will solve that, and after solving the Bracket, we will go for Multiplication. Then, finally, we will get our required answer.
To learn more about BODMAS,
https://brainly.com/question/29756765?referrer=searchResults
https://brainly.com/question/29626866?referrer=searchResults
I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answers
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
8m + 18 − 13 + 4n = ?
can u answer lol
Answers
Answer:
8m + 4n + 5
thats it
Answer:
It should be 8m+5+4n
Step-by-step explanation:
I hope this helps!
please answer the question in the picture
Answers
20 POINTS PLEASE HELP ASAP!!!
The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:
Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C.
Part B: What are the initial value and slope of the graph and what do they represent?
Answers
Step-by-step explanation:The slope of AB and BC are the same.
The initial value is 60 m and the slope is 40 m/min.
Step-by-step explanation:
The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes.
See the graph attached.
Part A : If we consider two right triangles one Δ ABD and Δ BCE, where D(2,100) and E(1,60) points.
Now, those two triangles are similar and hence the slope of line segment AB will be .
Again, the slope of the line segment BC will be
Hence, and the slope of AB and BC are the same. (Answer)
Part B : From the graph, it is clear that the initial value of the graph is 60 m and it represents that initial position of the shark i.e. at t = 0 min, the shark was at a depth of 60 m from the water surface.
The slope of the graph is 40 means the rate of change of distance from the Ocean surface of the shark with respect to time in minutes will be 40 m per min. (Answer)
21-3+18/6=???????????????
please helppppp i will give brainliest
Answers
Answer: 21
Step-by-step explanation: subtract 21 & 3 + 18/6
hope it helps:)
Really need help rn...........................
Answers
5,2
step by step..
9. The two figures below have a scale factor of 3 : 2. What is the value of x?
Answers
The value of x can be found by setting up a proportion based on the given scale factor of 3:2 is 16/3 units.
The breadth of the first parallelogram is 8 and the breadth of the second parallelogram is x.
Setting up the proportion, gives:
8/3 = x/2.
To solve for x, cross-multiply:
\(8 \times 2 = 3 \times x.\)
Simplifying the equation, gives:
16 = 3x.
Next, divide both sides of the equation by 3 to isolate x:
x = 16/3.
Therefore, the value of x is 16/3.
Learn more about proportions here:
https://brainly.com/question/31548894
#SPJ6
Imagine below explains, please help! This is my last question on my homework.
Answers
2 ⇒ 1
3 ⇒ 3
4 ⇒ 2
5 ⇒ 1
6 ⇒ 3
7 ⇒ 5
8 ⇒ 2
9 ⇒ 4
10 ⇒ 0
11 ⇒ 2
12 ⇒ 2
Hope my answer helps you✌️
Mark BRAINLIEST