Solve each equation by completing the square. Write both answers separately.
Answers
Answer:
37) ±√29 - 4
Completing the square utilizes this formula [tex](\frac{b}{2})^{2}[/tex]. We know that b=8, 8 can be plugged into this formula to get [tex](\frac{8}{2})^2[/tex]. Simplify to get 16. Now, we can add this into the equation to get [tex]k^{2}+8k+13=26[/tex]. Subtract 26 to both sides, so the equation can equal to 0. [tex]k^{2} +8k-13=0[/tex] would be the resulting equation. Now, let's use quadratic formula to find the solution. The quadratic formula is (-b+-√b^2-4ac) / 2a. Plug in all of our values to get (-8+-√8^2-4(1)(-13)/2(1). Simplify the equation to get ±√29 - 4.
38) ±√21 - 2
Let's use the same formula. b=4, so [tex](\frac{4}{2} )^2[/tex]. Simplify to get 4. Add that into the equation to get [tex]x^{2}+4x-5=12[/tex]. Subtract 8 on both sides, so the equation can equal to 0. [tex]x^{2}+4x-17=0[/tex] would be the result. Use the quadratic formula again to find the solution. Plug in all of the values to get ±√21 - 2
If you're confused on any part of the explanation, feel free to ask :)
Related Questions
It takes 8 workers 12 days to build a wall work out how many days it would take 3 workers to complete the same job
Please can someone answer and explain??
Answers
Answer: 24 days
Step-by-step explanation
h every worker, 4 workers will still take 12 days. If the work is to shake every other worker's hand, 4 workers will only take 37 x 12 days.
The sidewalk is 5 feet wide and the garden measures 40 feet across. Which measurement is closest to the area of the sidewalk?
A.
3,200 ft
B.
1,400 ft
C.
700 ft
D.
1,000 ft
Answers
Answer:
C
Step-by-step explanation:
Match each graph to the corresponding linear equation. help plzzzz i hate math
Answers
ANSWER:
GRAPH A: Equation 4
GRAPH B: Equation 3
GRAPH C: Equation 2
GRAPH D: Equation 1
Pls help which statement is true?
Answers
The first statement is true
Step-by-step explanation:
They all can be simplyfied to 3/4 including 12/16
What is the meaning of f '' (4) = -4?
Answers
Hi there!
f''(4) = -4 means that at x = 4, the second derivative is equal to -4. This is equivalent to the instantaneous rate of change of the graph of f'(x) at x = 4 as well.
Answer:
Step-by-step explanation:
if the second derivative is -4 means that the function is concave down and that at point 4 the function has a maximum
The ages of George and Genemy are in ratio 5:7 . Four years from now the ratio of their ages will be 3:4 .Find their present ages.
Answers
Answer:
Below in bold.
Step-by-step explanation:
Let x be George's age and y be Genemy's age.
x/y = 5/7
(x + 4)/ (y + 4) = 3/4
From equation 1, y = 7x/5 = 1.4x so substituting in equation 2 :
(x + 4)/ (1.4x + 4) = 3/4
3(1.4x + 4) = 4(x + 4)
4.2x + 12 = 4x + 16
0.2x = 16 -12 = 4
x = 4/0.2 = 20 = George's age.
So y = 1.4x = 1.4 * 20 = 28 = Genemy's age.
17 ft.
8 ft.
15 ft.
What is the area of the triangle above?
Answers
Answer:
60 ft²
Step-by-step explanation:
Answer:
60 ft.
Step-by-step explanation:
8*15 = 120/2 = 60
Preciso de ajudar nessa questão que segue em anexo.
Answers
Answer: $85
Step-by-step explanation:
Não falo português mas tentarei ajudar.
Multiplique 6 2/3 e 3 1/7.
6 2/3 x 3 1/7 = 20 20/21
Dividir 20 20/21 e 5.
20 20/21 / 5 = 4 4/21.
Precisa de cinco latas de tinta.
5 x $17 = $85
Jill needs 3 tonnes of salt. If a packet of salt weighs 600 g how many packets does she need?
Answers
Answer:
Solution given:
1 packet=600g
we have
1 tone =1000000g
3tone=3000000g
we have
no of packet's=[tex] \frac{total weight }{1 packet weight } [/tex]
=[tex] \frac{3000000}{600} [/tex]
=5000
packets she needs is 5000.
dillon pays x dollars to get a haircut. he gives the stylist a 15% tip. the expression representing his total cost is x + 0.15x
Answers
Answer:
B) 1.15x, adding 15% to the cost of haircut is same as to multiply cost by 1.15
Step-by-step explanation:
Given expression = x + 15% of x
x + (15/100) x = x + 0.15x
= (1+ 0.15) x = 1.15x
15% = 0.15 , added to x = 1.15x
Which solution correctly solves the problem 6x - 19 = 77? plz help
A.
B.
C.
D.
Answers
Answer:
D
Step-by-step explanation:
in order to get the process of solving the equation, we need to solve it.
our goal to solve the equation 6x-19=77 is to isolate the variable onto one side, and have the numbers (value of x) on the other
we have the equation:
6x-19=77
first, we can get rid of -19 on the left side and leave 6x on that side by adding 19 to both sides (-19+19=0).
The reason why we're adding 19 to both sides is because if we do something to one side, we have to do it to the other side to make sure the value of the equation stays the same.
6x-19= 77
+19 +19
_________
6x=96
now, we do have the variables on one side and the numbers on another side, but we aren't done yet, as we want the value of x by itself
divide by 6 on both sides
x=16 (because 6x/6=1x, or x. 96/6=16).
the option of D shows the same method I did and has the correct answer as well.
This is what was given for D:
6x-19=77
6x-19+19=77+19
6x=96
6x/6=96/6
x=16
(same thing I did)
So D is the correct answer.
Hope this helps!
giving brainlest to whoever answers this (CORRECTLY)!!!!
Answers
Answer:
14.4
Step-by-step explanation:
Answer:
14.4 m2
Step-by-step explanation:
area = L x W
here we have these two values so area = 3 x 4.8
this gives us 14.4 m2
Rick wants to use multiplication to solve {k} = 7 \div \dfrac13k=7÷ 3 1 k, equals, 7, divided by, start fraction, 1, divided by, 3, end fraction. Which multiplication equation can Rick use? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac13\times{k} =7 3 1 ×k=7start fraction, 1, divided by, 3, end fraction, times, k, equals, 7 (Choice B) B \dfrac13={k}\times7 3 1 =k×7start fraction, 1, divided by, 3, end fraction, equals, k, times, 7 (Choice C) C \dfrac13\times7 = {k} 3 1 ×7=kstart fraction, 1, divided by, 3, end fraction, times, 7, equals, k
Answers
Answer: (a)
Step-by-step explanation:
Given
Equation is
[tex]k=\dfrac{7}{\frac{1}{3}}[/tex]
Write the cross-multiplication of the given equation i.e.
[tex]\Rightarrow \dfrac{1}{3}\times k=7[/tex]
This corresponds to the option (a).
Answer:
C
Step-by-step explanation:
ITS C BECAUSE I WASTED A MISTAKE BC OF THE OTHER GUY ON TOP
DONT USE HIS
JUST USE MINE
DONT NEED AN EXPLANATION NOOOOB
A cylinder has a base radius of 3m and a height of 17m. What is its volume in cubic m, to the nearest tenths place?
Answers
Answer:
V= 480.7 m cubed
The volume of the cylinder nearest to tenths place is 480 m^3.
What is cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.
For the given situation,
The formula for volume of the cylinder is [tex]V=\pi r^{2} h[/tex]
Radius of the cylinder,r = 3 m
Height of the cylinder, h = 17 m
The value of π = 3.14
On substituting the above values,
[tex]V=(3.14) (3^{2})(17)[/tex]
⇒ [tex]V=480.42[/tex] ≈ 480
Hence we can conclude that the volume of the cylinder is 480 m^3.
Learn more about volume of cylinders here
https://brainly.com/question/15891031
#SPJ2
if 5a + 9 = 5 + 3a, then 2a=
Answers
Step-by-step explanation:
5a+9=5+3a
2a=-4 is the required value
Given b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C. What is the area of the triangle? Round to the nearest hundredth.
Answers
Answer:
1.73 units
Step-by-step explanation:
The area of a triangle with sides a, b, c and angles A, B, C is given as
Area = 1/2 bc sin A
Given that b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C then the area
= 1/2 * 4 * 1 * sin 120
= 2 sin 120
= 2 * √3/2
= √3
= 1.732
To the nearest hundredth = 1.73
PLEASE HELP ME IT' S FOR TODAY!!!
Answers
Answer:
x=55
Step-by-step explanation:
125+125=250
250+2x=360
2x=110
x=55
Answer:
55
Step-by-step explanation:
There are many ways to solve this problem; however, I used the one I believe to be the fastest and easiest, but you can still use a different way.
I solved this by using the fact that the green angle (m<125) and the red angle (x) make a straight line. All straight lines equal 180 degrees; therefore, this line must equal 125+x=180. Then, you can subtract 125 from both sides of the equation. That leaves x=55.
Volume of Composite Figures
Answers
Answer:
612 pi m^3
Step-by-step explanation:
Volume of the cylinder = 576 pi m^3
volume of the cone = (radius^2 x pi x height)/3 = (6^2 x pi x 3)/3 = 36 pi m^3
total volume = 576 pi + 36 pi = 612 pi m^3
Besties helpppp please FASTTT
Answers
Answer:
180
Step-by-step explanation:
area of a trapezoid = [tex]\frac{a+b}{2}h[/tex]
where a = base 1
b = base 2
and h = height
This is what we are given
base 1 = 23
base 2 = 37
and height = 6
That being said we plug in the given values into the formula
[tex]A=\frac{37+23}{2} 6\\23+37=60\\\frac{60}{2} =30\\30*6=180[/tex]
Hence the area of the trapezoid is 180 square feet
write an inequality in slope intercept form for the graph below. if necessary use <= or >=
Answers
Answer:
Where is the graph tho?
Step-by-step explanation:
A survey asked first-year college students, "How many miles is this college from your permanent home?" Students had to choose from the following options: 5 miles or less, 6 to 10 miles, 11 to 50 miles, 51 to 100 miles, 101 to 500 miles, or over 500 miles. The bar chart below shows the percent of students at public and private 4-year colleges who chose each option.
Answers
Answer:
Students who attend a private college are more likely to travel a farther distance to attend college.
Step-by-step explanation:
I'M A GOOFY ______ !!!!!
A. Kid
B.Guy
C.Dude
D.Goober
Answers
Answer:
D
Step-by-step explanation:
SPONGEBOB!!
simplify 3/36 will choose brainliest
Answers
Answer:
3/36 simplified is 1/12
Hope this helps!
A candle on a table is 6 inches tall and burns at a rate of .8 inches per hour. How many hours will it take for the candle to burn down to a height of 1.2 inches?
Answers
Answer:
6 hours
Step-by-step explanation:
6 inches burns at rate .8 inches in 1 hour
to be 1.2 inches has to burn 6 -1.2 = 4.8 inches of the candle
4.8 inches / .8 inches in 1 hour = 6 hours
I don’t understand it help and add a explanation for me pls :}
Answers
When Austen's parents are away celebrating their anniversary, he gets to sleepover for a week at his
grandparents' house. Afterwards, Austen decides to make his grandparents a photo album of their time
together. There are 7 pages in the album. Austen puts the same number of photos on each page, for a
total of 42 photos.
Which equation can you use to find the number of photos p on each page?
P = 42
7p = 42
P + 7 = 42
D-7=42
7
Solve this equation for p to find the number of photos on each page.
photos
Submit
Answers
Answer:
The answer is 6 becase 6 12 18 24 20 36 42 that is 7 so the answer is 6 and it is b
Step-by-step explanation:
brainliest pls
Q12.
Which relation is a function?
A
{(-1, 3), (-2, 6), (0, 0), (-2, -2)}
B
{(-2, -2), (0, 0), (1, 1), (2, -2)}
C
{(7, 4), (8, 8), (10, 8), (10, 10)}
D
{(4, 0), (4, 1), (4, 2), (4, 3)}
Answers
HELP ME WITH THIS PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The answer is 5
hope it helps
Answer:
n = 5 units
Step-by-step explanation:
We can solve this using 2 different equations which lead to the same answer:
Equation #1: Sin(30) = n/10
=>Sin(30) * 10 = n
=> 5 = n
Equation #2: Cos(60) = n/10
=> Cos(60) * 10 = n
=> 5 = n
If a number is a whole number, it is in it's simplest radical form, therefore; n = 5 units is the correct answer
Hope this helps!
Solve for X please help
Answers
Answer:
x = 10
Step-by-step explanation:
First square both sides of the equation...
[tex]2\sqrt{x + 8} = 3\sqrt{x - 2} \\(2\sqrt{x + 8})^{2} = (3\sqrt{x - 2})^{2} \\ 4(x + 8) = 9(x - 2)\\4x + 32 = 9x - 18\\-5x = -50\\x = 10[/tex]
Pls help and find the area
Answers
Answer:
I don’t know the area but here’s a hint to help you (hint: length x with x height)
Step-by-step explanation: