which of the following is the solution to the equation x^2-10x+16=0?
1.{2,8}
2.{-4,4}
3.{-16,10}
4. {-8,-2}
Answer:
1.{2,8}
Step-by-step explanation:
that's my answer
Answer :
1. { 2, 8 }
x² - 10x + 16 = 0
x² - 2x - 8x + 16 = 0
x ( x - 2 ) - 8 ( x - 2 ) = 0
( x - 2 ) ( x - 8 ) = 0
x - 2 = 0
x = 2
x - 8 = 0
x = 8
Therefore,
the solution to the equation x² - 10x + 16 = 0 is { 2, 8 }.
Find the slope of the line through the points (4,5) and (-7,6)
Answer:
m = -1/11
Step-by-step explanation:
m = rise/run = (y2-y1)/(x2-x1)
Solve the following problems using ELIMINATION.
(pls explain steps also! Giving Brainliest for correct answer and if you “actually” showed work and tried :))
8x - 5y =-18
2x + 5y = 58
Answer:
(4,10)
Step-by-step explanation:
8x - 5y = -18
+ 2x + 5y = 58
10x = 40
Dive both sides by 10.
x = 4
2x + 5y = 58
2(4) + 5y = 58
8 + 5y = 58
5y = 50
y = 10
Can someone help me with this question.
Answer: the bottom is A then C
Step-by-step explanation:
Please answer correctly! I will mark you as Brainliest!
Answer:
600
Step-by-step explanation:
V = l * w * h
V = 10 * 3 * 20
V = 600
Answer:
V = 600 cm³
Step-by-step explanation:
The volume (V) of a cuboid is calculated as
V = lbh ( l is length, b is breadth, h is height )
Here l = 10, b = 3 , h = 20 , then
V = 10 × 3 × 20 = 600 cm³
does anybody know the answer?
Answer:
y+25=120
y = 120-25
so y= 95
Answer:
y=95 is the required answer of your question
hope it is helpful to you
TRUE or FALSE? The sum \sqrt{16}+\sqrt{9} is a rational number.
Which of the following is the correct factorization of the polynomial below?
Answer:
C
Step-by-step explanation:
p³ - 216q³ ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
p³ - 216q³
= p³ - (6q)³
= (p - 6q)(p² + 6pq + 36q²) → C
Answer:
C. (p - 6q)(p² + 6pq + 36q²)
Step-by-step explanation:
Equation at the end of step 1
[tex](p^{3} ) - (2^{3} 3^{3} q^{3} )[/tex]
Trying to factor as a Difference of Cubes:
Factoring: p^3 - 216q^3
Theory: A difference of two perfect cubes, a^3 - b^3 can be factored into
(a-b) • (a^2 +ab +b^2)
Proof: [tex](a-b)(a^{2} +ab+b^{2} ) =[/tex]
[tex]a^{3} + a^{2} b+ab^{2} -ba^{2} -b^{2} a-b^{3} =[/tex]
[tex]a^{3} +(a^{2} b-ba^{2} )+(ab^{2} -b^{2} a)-b^{3} =[/tex]
[tex]a^{3} +0+0-b^{3} =[/tex]
[tex]a^{3} -b^{3}[/tex]
Check: 216 is the cube of 6
Check: p^3 is the cube of p^1
Check: q^3 is the cube of q^1
Factorization is:
[tex](p-6q)(p^{2} + 6pq+36q^{2} )[/tex]
Trying to factor a multi variable polynomial :
Factoring: p^2 + 6pq + 36q^2
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final Result:
(p - 6q)(p² + 6pq + 36q²)
Which of the following expressions represents the distance between −3.9 and −4.7?
Choice a: ∣−4.7−3.9∣
Choice b: ∣−3.9−4.7∣
Choice c: none of the above
NEED NOW
(Absolute value)
Answer: Choice C: none of the above
Step-by-step explanation:
The distance between two numbers would be |(number 1) - (number 2)|
--------------------------------------------------------------
Given
Number 1=-3.9
Number 2=-4.7
|(number 1) - (number 2)|
=|(-3.9) - (-4.7)|
=|-3.9+4.7|
The choice is not available.
Therefore, it is none of the above.
Hope this helps!! :)
Please let me know if you have any questions
PLEASE HELP ME! QUICK POINTS FOR YOU!
All information needed is in the image below.
Please answer all parts!
Answer:
x = 14
∠ABD = 66
∠DBC = 24
Step-by-step explanation:
The sum of the two angles is 90 degrees, so:
3 (x + 8) + 2x - 4 = 90 (distribute 3)
3x + 24 + 2x - 4 = 90 (simplify)
5x + 20 = 90 (subtract 20 from both sides)
5x = 70 (divide both sides by 5)
x = 14
∠ABD = 3 (x + 8) (plug in 14)
∠ABD = 3 (14 + 8) simplify
∠ABD = 3 (22)
∠ABD = 66
∠DBC = 2x - 4 (plug in 14)
∠DBC = 2(14) - 4 (simplify)
∠DBC = 28 - 4
∠DBC = 24
To check, 66+24=90.
Answer:
The answer I got was
3(-26+8) = -54
2(-26)-4 = -56
Step-by-step explanation:
3(x+8)=2x−4
(3)(x)+(3)(8)=2x+−4(Distribute)
3x+24=2x+−4
3x+24=2x−4
Then subtract 2x from each side
Once then you have X substitute that number with X and you should get your answer.
So do 3(-26+8) and then 2(-26)-4 which then
3(-26+8)=
2(-26)-4 =
Carole worked her 40 regular hours last week plus 6 overtime hours at the time-and-a-half rate. Carole's regular hourly rate is $11.50. How much did Carole get paid last week?
Answer:
$563.50
Step-by-step explanation:
The computation of the amount that should be paid to Carole last week is shown below
Since she worked 40 regular hours and 6 overtime hours
For regular hours, the wage rate is $11.50
And, for overtime it would be
= $11.50 + $11.50 ÷ 2
= $11.50 + $5.75
= $17.25
So, the amount that should be paid is
= 40 × $11.50 + 6 × $17.25
= $460 + $103.50
= $563.50
a car travelling a constant speed of 60km in 18 minutes .how far will the car travel in 1 hour 12 minutes?
Answer:
240 km.
Step-by-step explanation:
The car travels 200km per hour. so multiply it by 1.2 and you get 240km.
A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?
Answer:
$1.50 2/3
Step-by-step explanation:
I hope this helps :)
Sara brought a total of 8 nails at ace hardware. She purchased both 6 penny nails and 10 penny nails. She brought 2 more 6 penny nails then she did 10 penny nails. She had a total of 8 nails. How many 6 penny and 10 penny nails did sara purchase?
Answer:
Sara bought 5 6 penny nails and 3 10 penny nails
Step-by-step explanation:
Carlos has equal numbers of classical songs, country
songs, and pop songs loaded on his personal music player.
He has it set to play songs on a random shuffle. Suppose
Carlos is designing a simulation that could be used to
estimate the probability that the next three songs to play
are all country songs.
Which simulation design could Carlos use to estimate the probability?
Answer:
Step-by-step explanation:
A
The simulation design could Carlos use to estimate the probability is option D.
Option D is the correct answer.
We have,
In this simulation design:
Carlos assigns specific numbers on the random digits from 1 to 6 to represent different types of songs.
He assigns the numbers 1, 2, and 3 to represent classical songs.
The numbers 4, 5, and 6 represent country songs.
The numbers 7, 8, 9, and 0 represent pop songs.
By generating random digits and observing their values,
Carlos can simulate the random shuffle of his music player.
He would then track and count instances where three consecutive numbers are all in the range of 4, 5, and 6.
These instances would correspond to the occurrence of three consecutive country songs.
Thus,
By running this simulation for a sufficient number of trials, Carlos can estimate the probability of the next three songs being all country songs based on the relative frequency of such occurrences.
Learn more about simulations here:
https://brainly.com/question/1667033
#SPJ2
The equations of three lines are given below.
Line 1: 10x+6y=6
Line 2: 5y=3x + 6
Line 3: y= 3/5 x -4
Please help
Answer:
They are parallel because they hold a same gradient which is 3/5
i need help on this pls
Answer:
Hello!
1 on the left in vertical and 1 on the right is adjacent hope that helps.
Max is going to go to a four-year college where the annual tuition is $14,835. He has money in savings and he earned a work-study as shown below. Max is going to pay the rest with money from a student loan. How much does he have to borrow?
Jackson can do 15 chin-ups in 60 seconds. At this rate, how many chin-ups can he do in 108 seconds?
Answer:
1620 I think. I'm not rlly sure but this seems,like the correct answer from my calculations.
One third of number is 8 less than the three times of the number, working pls
Answer:
the required number is 12
Answer:
3Step-by-step explanation:
One third of number is 8 less than the three times of the number
The number is x, then:
1/3x = 3x - 83x - 1/3x = 88/3x = 8x = 3The point A (-3, 5) and the point B (0, -16) lie on the line L.
a) Find the slope
b) Find the y-intercept
c) Create the equation of the line L.
Can you help?
Step-by-step explanation:
Line is passing through the point A (-3, 5) and the point B (0, -16)
a) Slope (m) = (-16 - 5)/(0+3) = - 21/3 = - 7
b) y - intercept (b) = - 16
c) Equation of line
y = mx + b
y = - 7x + (-16)
y = - 7x - 16
Based on this picture and your knowledge of the Pythagorean Theorm, what is the ara of the empty square?
Answer:
100 units^2
Step-by-step explanation:
a^2+b^2=c^2
8^2+6^2=c^2
64+36=c^2
100=c^2 (area of square)
10=c (length of hypotenuse)
Therefore, the area of the square is 100 units^2
Find x.
I need help please
Answer:
[tex] x = 4 \sqrt{3} [/tex]
Step-by-step explanation:
By geometric mean theorem and Pythagoras theorem:
[tex] {x}^{2} = { (\sqrt{8 \times 4} )}^{2} + {4}^{2} \\ \\ {x}^{2} = { (\sqrt{32} )}^{2} + {4}^{2} \\ \\ {x}^{2} = 32 + 16 \\ \\ {x}^{2} = 48 \\ \\ x = \sqrt{48} \\ \\ x = 4 \sqrt{3} [/tex]
. If x = -4 and y = 2x – 1, then y equals what number?
Answer: y = -8x - 1
Step-by-step explanation: 2 x (-4) is -8. Therefore you get y = -8x - 1
(please mark as brainliest) :D
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{If x = -4 then SUBSTITUTE it in the equation, where x is at}[/tex]
[tex]\large\textsf{y = 2(-4) - 1}[/tex]
[tex]\large\textsf{2(-4) = \bf -8}[/tex]
[tex]\large\textsf{-8 - 1}[/tex]
[tex]\large\textsf{= \bf -9}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \huge \bf y = -9}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Geometry help please. Thank you!
ANSWER THIS WITHOUT A LINK
SOOOOOOOONNNN
Answer: n=8
Step-by-step explanation: add 2 each time for y
Answer:
Answer = 22
Step-by-step explanation:
Linear Function is 2x-6, therefore f(14)=2*14-6=22
So 2*8-6=10
2*9-6=12
2*11-6=16
!!!!!Based on the data in the table above, how is the age distribution of Texas' population projected
to change in the future?!!!!!
Answer:
Step-by-step explanation:
6) A garden is a rectangle 6 yards by 8 yards. If you walk diagonally across the garden
instead of along two adjacent sides, how many yards do you save? (5 points)
Answer:
Step-by-step explanation:
10 yards by 15 yards
Step-by-step explanation:
Let the dimensions of each plot x yards by y yards.
If three plots are placed as the y-yards side are common to them then,
The total perimeter will be (6x + 4y) = P = 120 yards {Given} ........... (1)
⇒ 3x + 2y = 60 ........... (2)
Now, the total area of the three plots will be 3xy = A = 450 sq, yards {Given} .......... (3)
Now, solving equations (2) and (4) we get,
⇒ 225 + y² = 30y
⇒ y² - 30y + 225 = 0
⇒ (y - 15)² = 0
⇒ y = 15 yards.
Hence, from equation (4) we get,
x = 150/15 = 10 yards.
Therefore, the dimensions of each plot are 10 yards by 15 yards.
write Two Most Active non Metals And Two Most Active Metals Among The Right Wing Elements In The Periodic Table?
Answer: non metals F and H, fluorine has high electronegativity and tend to gain one electron. Hydrogen form she compounds with non-metals and metals.
Metals Cs and K, lose easily one outer electron. Electron is far away from nucleus and atom donates it easily.
The periodic table is composed of metals and nonmetals.
The right wing of the period table contains mostly of nonmetals. However, there are a few metals in the right wing of the periodic table. The periodic table is largely made up of metals and nonmetals.
The two most active metals in the right wing of the periodic table are bismuth and lead while the two most active nonmetals in the right wing of the periodic table are fluorine and chlorine.
Learn more: https://brainly.com/question/25114219?
A toy rocket is launched from a platform 33 feet above the ground at a speed of 83 feet per second. The height
of the rocket in feet is given by the polynomial -167 + 83t + 33, where t is the time in seconds. How high will
the rocket be after 3 seconds?
HELP ASAP
Answer:
138 feet
Step-by-step explanation:
plug "3" into the expression by replacing "t" with "3"
-16t^2+83t+33
-16(3)^2+83(3)+33 (remember PEMDAS)
=-16(9)+249+33
=-144+282
=138 (I hope this helps)