Answers
Answer:
6±√10
Step-by-step explanation:
x^2-12x+26=0
x= ± √10 +6
6±√10
The solutions of the given quadratic equation [tex]x^2 - 12x + 26 = 0[/tex] are;
x = 6 + √10 and x = 6 - √10.
To solve the quadratic equation [tex]x^2 - 12x + 26 = 0[/tex]
using completing the square method, follow the steps below.
Move the constant term to the right side of the equation
[tex]x^2 - 12x = -26[/tex]
To find the value that completes the square, divide the coefficient of x by 2 and square it.
[tex](-12/2)^2 = 36[/tex]
Add and subtract the value obtained in step 2 to the left side of the equation
[tex]x^2 - 12x + 36 - 36 = -26[/tex]
Simplify the left side of the equation by factoring the perfect square trinomial
[tex](x - 6)^2 - 36 = -26[/tex]
Add 36 to both sides of the equation to isolate the perfect square trinomial
[tex](x - 6)^2 = 10[/tex]
To Take the square root of both sides of the equation
x - 6 = ±√10
Solve for x
x = 6 ± √10
So, the solutions of the given quadratic equation [tex]x^2 - 12x + 26 = 0[/tex] are x = 6 + √10 and x = 6 - √10.
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Related Questions
Help PLEASE. 15 pts
Which equations illustrate the zero property of multiplication? Select ALL that apply.
[tex] \frac{1}{3} \times 3 - 3 = 4[/tex]
[tex] \frac{1}{2} + 2 - 2 = \frac{1}{2} [/tex]
[tex]0 \times \frac{1}{9} \times 9 = 0[/tex]
[tex]x - 5 + 5 = x[/tex]
[tex] \frac{1}{3}(9 + 3) = 3 + 1 [/tex]
Answers
Answer:
0* 1/9*9=0
Step-by-step explanation:
The zero property of multiplication states that any non-zero number multiplied by zero will equal zero.
it can't be the first one, since there's no zero in it, and the answer isn't zero
it can't be the second one since there's no multiplication illustrated.
The third one is an option, since there is a zero and it's being multiplied by two non-zero numbers, and the answer is 0
the fourth one isn't an option since there's no multiplication
the fifth one isn't an option since there is no 0's there.
hope this helps!
PLEASE HURRY!!!!!!!!!!
I WILL VOTE BRAINLIEST!!!!!!!!!
ACTUALLY ANSWER IT AND PROVIDE ALL WORK!!!!!!!!!!!!!
Answers
Answer:
The answer gonna be B
u welcome
Answer:
A
Step-by-step explanation:
We can see that our figure is composed of a cylinder and a cone.
So, we can utilize the surface area formulas.
The surface area of a cylinder is given by:
[tex]SA=2\pi r^2+2\pi r h[/tex]
The first term is the two circular bases, and the second term is the lateral surface area.
Notice that the circular base has a diameter of 6. So, its radius is 3.
Also, the height of the cylinder is 50.
However, notice that one of the circular bases is not included in our surface area as it’s connected to the cone. So, we will remove that from our surface area. This gives us:
[tex]SA=\pi r^2+2\pi rh[/tex]
Therefore, by substituting 3 for r, the radius, and 50 for the height h we can see that:
[tex]\begin{aligned}SA&=\pi(3)^2+2\pi(3)(50)\\&=9\pi+300\pi\\&=309\pi\end{aligned}[/tex]
Now, we can determine the SA of the cone.
Again, we will only need to lateral surface area, since the circular base is connected to the cylinder.
The lateral surface area of a cone is given by the formula:
[tex]SA=\pi r\ell[/tex]
Where r is the radius and l is the slant height.
The radius is 3 and the slant height is 5. Therefore:
[tex]SA=\pi(3)(5)=15\pi[/tex]
So, our total surface area is:
[tex]SA_{\text{Total}}=309\pi+15\pi[/tex]
Simplify:
[tex]SA_{\text{Total}}=324\pi\\[/tex]
Approximate:
[tex]SA_{\text{Total}}\approx1017.9\text{ units}^2[/tex]
Hence, our answer is A.
Directions
1.Make sure to put the question number next to each answer.
2. If you correctly fill out the questions you will be given a link to 50 points.
3. If you incorrectly answer the question (put random numbers or letters) I will report you.
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Also you will be sent the link within 5 mins of the time you answered the question.
Answers
Okay
I DONT UNDERSTAND PROBLEMS PLS HELPPPP MATH
Answers
Answer:
#9) A) Addition property of equality
Step-by-step explanation:
Hope this helps
If two sides of a triangle are 4 inches and 6 inches, determine the possible lengths of
the third side.
O 4 inches < x < 6 inches
O 2 inches < x < 10 inches
O 4 inches < x < 10 inches
O 5 inches < x < 11 inches
Answers
Answer:
4 inches < X < 6 inches because it says that 1 side of the triangle is 4 inches and the other side of the triangle is 6 inches.
The volume of a gas in a container varies inversely as the pressure on the gas. If a gas has a volume of 129 cubic inches under a pressure of 3 pounds per square inch,
what will be its volume if the pressure is increased to 5 pounds per square inch? Round your answer to the nearest integer if necessary
Answers
Answer:
the volume is 77 in³
Helppppppppppp with 3 & 4!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
3 is b
4 is also b
Step-by-step explanation:
–2 • 4? what is the anserw do you now
Answers
Answer:
Step-by-step explanation:
-8 because a negative times a positive is a negative so w times 4 equals I and since it’s a negative sign it’s -8
Liliana spends $4.00 on 2 boxes of popcorn and 2 drinks.Nadette spends $5.25 on 2 boxes of popcorn and 3 drinks.The prices of the popcorn and drinks can be determined by solving the system of equations.
2p+2d=4.00
2p+3d=5.25
what is the price of a box of popcorn? A drink?
P=
D=
Answers
Answer:
p=0.75$
d=1.25$
Step-by-step explanation:
2p+2d=4
So 2p=4-2d
2p+3d=5.25
4-2d+3d=5.25
d=5.25-4
d=1.25
2p+1.25*2=4
2p=4-2.5
2p=1.5
p=0.75
g+1/4Ua=b
solve for A.
Answers
Answer:
a=4b/u-4g/u
Step-by-step explanation:
You got this!
someone please help me with this work
Answers
Answer:
-34degrees
Step-by-step explanation:
Dan runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
Answers
Answer:
I think it would be 4 not sure
Caesar has $180 in his bank account. He needs a total of $2,000 to purchase his uncle's car. He earns $60 per day and says $50 of that amount each day. Which equation can be used to determine the number of days, D, he needs to work to reach his goal of $2,000?
Answers
Answer:
Im not 100% sure because I dont have paper, but the answer is..YELLOW and Dark blue
Step-by-step explanation:
If this isnt the answer pls forgive me, and if you can pls gimme brainliest
Will mark Brianliest answer correctly !!!!!!!!!! Pleaseeee helpppp !!!!!!!!!!!!!!!!!
Answers
help would be nice thank you!
Answers
Answer:
Option B
Step-by-step explanation:
Given equation gives the information about the temperature in Vancouver over a period of 4 hours.
y = -2x + 43
Here 43 represents the initial temperature and (-2) represents the temperature fall in every one hour.
x = duration or time
Therefore, equation states that initial temperature when measured was 43 °F and it is dropping by 2 degrees per hour.
Option B is the answer.
does this graph show a function. explain how you know.
Answers
Answer:
its should be A because theres no vertical line that looks like that lol
Answer:
A. The graph fails the vertical line test, I think.
Step-by-step explanation:
Which of the following phrases are expression
-3
8+c<7d
B/12=24/16
8
2a
(10+7)(50+1)
Answers
Find The Angle (See Image)
Answers
Answer:
do you how many there is 5 angles if thats what ur asking
Step-by-step explanation:
HELP PLEASE!!!!!!!!!!!!
Answers
Answer:
y = 3x-5
Step-by-step explanation:
The difference between each y for each change of 1 in x is 3, so it's y-intercept is -5, and its slope is 3.
Plz answer these 2 I’ll mark brainliest
Answers
Answer:
16. C
17. B
sorry if i got it wrong
Answer:
THE ANSWER
A
B
Step-by-step explanation:
MARK BRAINLIEST
1
Which point on the number line represents 3?
-1
В
0
о
ООО
Answers
Answer: C
A is -1 and 1/3
B is -2/3
C is -1/3
D is 1/3
so it’s C
Hope this helps
Can you solve this?
kn+4f=9v, for n
Answers
Answer:
n = [tex]\frac{9v - 4f}{k}[/tex]
Step-by-step explanation:
kn + 4f = 9v
kn = 9v - 4f
[tex]\frac{kn}{k}[/tex] = [tex]\frac{9v - 4f}{k}[/tex]
n = [tex]\frac{9v - 4f}{k}[/tex]
Describe and correct the error in finding the value of x.
HELP ASAP!!
Answers
it is equal to 5x - 1
Find the mean of 12, 16, and 23.
Answers
Answer:
17
Step-by-step explanation:
mean means average...
12+16+23= 51
51/3= 17
What can you do if your struggling in Volume in Math?
Answers
Answer:
Study Harder
Step-by-step explanation:
In 8 divided by 1/5 the number 8 is the?
Answers
Answer:
Dividend
Step-by-step explanation:
Dividend ÷ Divisor = Quotient
Answer:
Dividend
Step-by-step explanation:
help please!! Arithmetic Sequences
4,4.1,4.2,4.3,4.4
Common Difference: d=
what is the common difference?
Answers
Answer:
0.1 is the answer...............
The common difference [tex](d)[/tex] of Arithmetic Sequences [tex]4,4.1,4.2,4.3,4.4[/tex] is [tex]0.1[/tex] .
What is Arithmetic Sequence ?Arithmetic Sequence is also known as arithmetic progression and is a sequence of numbers in which the difference between the consecutive terms is constant.
What is common difference ?Common difference is the difference between two consecutive terms of an arithmetic progression.
We have arithmetic progression,
[tex]4,4.1,4.2,4.3,4.4[/tex]
Here,
[tex]a_{1} =4[/tex]
[tex]a_{2} =4.1[/tex]
[tex]a_{3} =4.2[/tex]
[tex]a_{4} =4.3[/tex]
[tex]a_{5} =4.4[/tex]
And,
Common Difference [tex](d)[/tex] [tex]=a_{2} -a_{1} =a_{3} -a_{2} =a_{4}-a_{3}[/tex]
So,
Common Difference [tex](d)[/tex] [tex]= 4.1-4[/tex]
[tex]=0.1[/tex]
So, Common Difference [tex](d)[/tex] is [tex]0.1[/tex] which is the difference of consecutive terms of Arithmetic Sequences.
Hence, we can say that the common difference [tex](d)[/tex] of Arithmetic Sequences [tex]4,4.1,4.2,4.3,4.4[/tex] is [tex]0.1[/tex] .
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Simplify the expression and enter your answer below.
(15^1/5)^5
Answers
Answer:
15^1 or just 15
Step-by-step explanation:
(15^1/5)^5
If there is a parenthesees seperating powers you can times the two numbers.
So you take 1/5 and times by 5
After this you get 15^1 and that would be 15
One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?
Answers
Answer:
500
Step-by-step explanation:
Given that:
Shape of one of the Great Pyramids in Egypt is a square pyramid.
Base of pyramid is of square shape with length = 20 feet
Height of pyramid = 150 feet
Volume of each stone used for the construction of the pyramid = 40 cubic feet
To find:
Number of stones used for the construction of the pyramid.
Solution:
First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.
It will give us the number of stones used for the construction of pyramid.
Volume of a pyramid is given as:
[tex]V = \dfrac{1}{3}\times \text{Area of base}\times Height[/tex]
Here, base is a square, so area of base = [tex](Side)^2[/tex]
[tex]V = \dfrac{1}{3}\times 20^2\times 150 = 400\times 50 ft^3[/tex]
Number of stones of 40 cubic feet each, required = [tex]\frac{400\times 50}{40}[/tex] = 500
Write the equation for each graph below.
Answers
Answer:
The first one is 3x+1
The second one is 3/4x - 2
Step-by-step explanation:
Look where the line intersects then count the dots to where the next point is.