Solve the quadratic equation below by completing the square. What are the solutions?
x^2 - 16x + 50 = 21
A. X= -8+sqrt 7
B. X= 8 + sqrt 7
C. X= 8 +sqrt 35
D. X= -8+sqrt 35
By completing squares we will see that the solutions are:
[tex]x =\pm \sqrt{35} + 8[/tex]
How to complete squares?
Here we have the quadratic equation:
[tex]x^2 - 16x + 50 = 21[/tex]
We can rewrite it as:
[tex]x^2 - 2*8*x + 50 - 21 = 0\\\\x^2 - 2*8*x + 29= 0[/tex]
Then we must have a 8² term to complete squares, then we need to add and subtract 35.
[tex]x^2 - 2*8*x + 29 +35 - 35= 0\\\\(x - 8)^2 - 35 = 0\\\\(x - 8)^2 = 35[/tex]
Now we can solve this:
[tex]x =\pm \sqrt{35} + 8[/tex]
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ2
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The question is asking for a diagram of each triangle as though the other one were not there. The attached shows such a separation.
__
There are no common angles or sides. Side BD of ΔBDG is part of one side of ΔAEF.
Answer:
see attached
Step-by-step explanation:
PLEASE HELP ASAP AND GET IT RIGHT, CANT AFFORD TO GET IT WRONG WILL MARK BRAINLIEST
Type the correct answer on the line
Cindy runs 2 kilometers every morning. She takes 2 minutes for the first 250 meters, 4 minutes for the next 1,000 meters, 1 minute for the next 350 meters, and 3 minutes for the rest.
Cindy’s average speed for the entire run is ________
meters per minute. One kilometer is the same as 1,000 meters.
Answer:
286.1
Step-by-step explanation:
2 km = 2000 m
2 min = 250 m -> 125 m in 1 min
4 min = 1000 m -> 250 m in 1 min
1 min = 350 m -> 350 m in 1 min
3 min = 400 m (the rest) -> 133.33 m in 1 min
To get the average you add up all 3 and divide by 3
So: 125 + 250 + 350 + 133.33 = 858.33
858.33/3 = 286.11
So rounded its 286.1
2. What is the slope and the y-intercept of the
table? Show your work.
Slope =
y-intercept =
slope: 3
y-intercept: 4
what is x in x/5 = -3
Answer:
-15
Step-by-step explanation:
x/5 = -3
multiple both sides of equation by 5:
x = -3(5)
x = -15
Answer:
-15
Step-by-step explanation:
Hope this is the right answer
Could you please put the answer with the letter? Does not need to be in order too.
Answer:
54=n u=25 G=50 O=31 D=42
B=58 R=30 F=60
Step-by-step explanation:
hopefully, it's right
8 to the 4th power times 2 divided by 8 to the eleventh power
Answer:
17179869191.3 (really i used a calculator, it was too hard)
Step-by-step explanation:
8^4 is 4096
2/8 is .25
.25^11 is 2.38418579e-7
4096/2.38418579e-7
17179869191.3
The population of deer in a state park can be predicted by the expression 106(1.087)t, where t is the number of years since 2010.
Answer:
b) When will the number of deer be 600?
Step-by-step explanation:
Answer:
600
Step-by-step explanation:
A gold mine has two elevators one for equipment and another for miners. The elevator for the miners descends 13 feet per second. The elevator for the miners descends 13 feet per second. One day the equipment elevator begins to descend. After 18 seconds the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 19 seconds? At that time, which elevator is deeper?
Answer:
The equipment elevator is positioned 481 feet closer and the miner equipment is positioned 342 feet closer relative to the surface. The equipment elevator is deeper.
Step-by-step explanation:
The rate that both elevators descend are the same according to the information given in the question.
After 18 seconds, the equipment elevator has descended 18 x 13 = 234 feet.
After another 19 seconds, the equipment elevator has descended for a total of 37 seconds which results in 481 feet and the miner elevator has descended for 19 seconds which gives us a descend of 342 feet.
So they are 481 and 342 feet closer relative to the surface and the equipment elevator is deeper since it has descended for a longer period of time.
I hope this answer helps.
24 is what percent of 300
Answer:
8
Step-by-step explanation:
x/100=24/300
100 times 24 =2400
2400 divided by 300 = 8
When electrons flow with little resistance through a conductor it is called a
Answer:
The answer is free electrons
Step-by-step explanation:
When electrons flow with little resistance through a conductor, then it is called a Electricity.
What are electrons?"The electron is a subatomic particle whose electric charge is negative one elementary charge."
What is resistance?"Resistance is a measure of the opposition to current flow in an electrical circuit."
What is conductor?"A conductor, or electrical conductor, is a substance or material that allows electricity to flow through it. "
What is Electricity?The steady flow of electrons through a conductor is called electricity
Hence , if electrons are flowing that means they conducts electricity.
Learn more about electricity here
https://brainly.com/question/8971780
#SPJ2
What is the following sum?
Answer:
Maybe A sorry if its wrong.
Step-by-step explanation:
Answer: c
Step-by-step explanation: edge 2023 :)
I need your help with my hw!
Answer:
-4
Step-by-step explanation:
f(x) = 3(x) so....
3(-2) + 2
-6 + 2
-4
can someone PLEASE help with this i don’t understand at all
Zachary purchased a computer for $1,900 on a payment plan. Two months after he purchased the computer, his balance was $900. What is an equation that models the balance y after x months
Answer:
[tex]y=-450x+1900[/tex]
Step-by-step explanation:
According to the problem, the payment plan is $1,900, so automatically our balance is $1,900. We are then told after two months, his balance was $900:
[tex]1900=900(2)[/tex]
To achieve the equation the problem is asking for we have to find how much Zachary would possibly be paying for one month. Divide the $900 into two months:
[tex]\frac{900}{2}[/tex]
[tex]=\frac{450}{1}[/tex]
Zachary pays [tex]450[/tex] a month, and we have to remember this is being subtracted from the initial balance. We can represent this as:
[tex]y=mx+b[/tex]
[tex]y=-450x+1900[/tex]
Which angle is complementary to <3? help asap
Answer:
In a right angled triangle
Step-by-step explanation:
The two non-right angles are complementary, because in a triangle the three angles add to 180°, and 90° has already been taken by the right angle. When two angles add to 90°, we say they "Complement" each other. because the right angle is thought of as being a complete angle.
Sorry if this is wrong this is all I could do
Donna deposits $700 Into an account that pays simple interest at a rate of 5% per year. How much Interest will she be paid in the first 5 years?
What is the range of the function shown in this table? х3 4 5 6 y4 4 2 5 A. (3, 4), (4, 4), (5, 2), {6, 5{ B. {3,4,5,6} C. {3, 4} D. {2,4,5}
The answer fam is............ D. {2,4,5}
1/2 inch is equal to ____ /16 inch
a. 8
b. 2
c. 6
d. 4
Answer:
a. 8
Step-by-step explanation:
hope you find it helpful
ps: mark as brainliest
YOOOO HELP ME ASAP BRO THIS IS DUED BY TONIGHT COME ON PLEASE
EITHER ONE IS FINE
Answer:
fish food
Step-by-step explanation:
bc my moomy pappa gave me food and im so smart now and they broken now up
if you can guess my middle name will mark Brainlyest.
hint one: named after a British toffee
hint two: it starts with a h
Answer:
Heath
I think
Step-by-step explanation:
Answer:
is it Heath?
Hope it helps!!!
I need help with this riddle rq
if tiffany drove 21 miles using 7 gallons of gas, how many miles did she drive per gallon.?
Answer: she drove 3 miles per gallon
Step-by-step explanation:
21 / 7 = 3 i hope this helps
3y/4=21
pls urgent will mark u the brainliast
Answer:
y=28 Good Luck!
Step-by-step explanation:
Answer:
y=28
Step-by-step explanation:
8+9 divided by 3 in algebraic expression
Answer:
(8 + 9) ÷ 3 = x
Step-by-step explanation:
You first need to add 8+9, so you put them in parenthesis for PEMDAS
Then you divide them by 3
Finally, you make the answer a variable as an algebraic expression involves variables and the answer is not given
(HELPPP) The graph models the proportional relationship between the cost of a salad per pound determine the unit rate of the graph
A) $2/lb
B) $4/lb
C) $1/lb
D) $0.50/lb
Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold temperature of Negative 20 degrees Celsius. Pearl, who lives in Pennsylvania, mentioned that her temperature was the opposite of Shana's. Which is the correct way to represent "the opposite of Shana's temperature is equal to Pearl's"? Negative 20 = 20 Negative (negative 20) = negative 20 Negative (20) = negative 20 Negative (negative 20) = 20
Answer:
Negative (negative 20) = 20Step-by-step explanation:
Given Shana temperature = -20°C
°If Pearls temperature is opposite that of Shana's then Pearls temparature = -(-20) = 20°C
Hence the correct way to represent "the opposite of Shana's temperature is equal to Pearl's
Opposite of shana = -(-20°C)
Pearls temperature = +20°C
Since Opposite of shana = Pearls temperature, hence -(-20°C) = 20°C
Answer:
-(-20 = 20
Step-by-step explanation:
The "opposite" here means we take the negative of -20 C.
So we can write -(-20 which is equal to 20.
So the first option is correct, -(-20 = 20.
hope this helps:)
Find BD
2
В —
E
C С
D
2x-3
2x4
3 x 1
Answer:
BD= 12
Step-by-step explanation:
Please see the attached picture for the full solution.
On Tuesday, a local hamburger shop sold a combined total of 435 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Tuesday?
Answer:
870?
Step-by-step explanation:
Answer:
217.5
Step-by-step explanation:
435 divided by 2 don't really know how else to explain
Subtract.
7/z +3
2/z+3
Simplify your answer as much as possible.
Answer:
5/z
Step-by-step explanation:
(7/z + 3) - (2/z + 3)
distribute the minus sign
(7/z + 3) - 2/z - 3
simplify
7/z + 3 - 2/z - 3
5/z