Answer:
Step-by-step explanation:
( a ± b )² = a² ± 2ab + b²
~~~~~~~~~
x² - 16x + 50 = 0
( x² - 2(x)(8) + 64 ) - 64 + 50 = 0
( x - 8 )² - 14 = 0
( x - 8 )² = 14
Answer:
(x-8)^2=14
:)
Step-by-step explanation:
Find the range of the following sets of numbers 100,90,20,40,0,76
Answer:
100
Step-by-step explanation:
Range = highest - lowest (R = H - L)
In order, the set is 0, 20, 40, 76, 90, 100
100-0 = 100
Answer:
100
Step-by-step explanation:
Range = Highest value -lowest value
100-0=100
Three students are sitting in a playground to make a circular path. They are sitting on the circumference, the co-ordinates of their position on the circle are (1, 2), (3, 4) and (3, 2). Find the co-ordinates of the point equidistant from their position. Also, find the equation of the locus.
The coordinates of the point equidistant from their position is C(x,y) = (2, 3) and the equation of the locus is (x - 2)² + (y - 3)² = 2.
How to derive the equation of the circunference associated with a playground
The center is the point that is equidistant to every point on the circumference. First, we need to determine the coefficients of the general equation of the circle, whose form is described below:
x² + y² + D · x + E · y + F = 0 (1)
We need three distinct points of the circumference to determine one solution.
If we know that (x₁, y₁) = (1, 2), (x₂, y₂) = (3, 4) and (x₃, y₃) = (3, 2), then the system of linear equations is:
D + 2 · E + F = -5 (2)
3 · D + 4 · E + F = - 25 (3)
3 · D + 2 · E + F = - 13 (4)
The solution of the linear system is D = - 4, E = - 6 and F = 11.
Now we proceed to transform the expression into its standard form by completing the squares:
x² + y² - 4 · x - 6 · y + 11 = 0
(x² - 4 · x + 4) + (y² - 6 · y + 9) - 2 = 0
(x - 2)² + (y - 3)² = 2
The coordinates of the point equidistant from their position is C(x,y) = (2, 3) and the equation of the locus is (x - 2)² + (y - 3)² = 2.
To learn more on circumferences, we kindly invite to check this verified question: https://brainly.com/question/4268218
60 = y-3 divided by 10
Answer:
y = 60.3
Step-by-step explanation:
Financial Planning: Purchasing a House
Part One:
1. Download the app Zillow
2. Make an account
3. Make a list of required features
4. Find a house that serves your current and future needs
Part Two:
1. Decide how much money you have for the down payment
2. Calculate how much you need to finance
3. Calculate your monthly payment to mortgage
4. Calculate how long you will be paying off and make a plan
Part Three:
1. Repeat parts one and two more times for a total of 3 potential houses
2. Put them into a graphic organizer and decide which one works best for you.
what's the answer to this
Help 4 easy math questions
Answer:
31.5
Step-by-step explanation:
bxh/2
so 9x7=63 and divided by 2 is 31.5
Answer:
31.5
Step-by-step explanation:
use the formula base times high divided by 2
9x7=63
63/2=31.5
HELP ME
WHOEVER ANSWERS IS THE SMARTEST AND I WILL TELL EVEYONE ABT YOU
PLEASE HELP ME I NEED HELP
Answer:
F
Step-by-step explanation:
3+4=7
721/7=103
both catch 7 pokemon per day
Find the value of y.
As
<IJK and <IKJ are equal measured
The triangle is isoceles
The adjacent sides of both angles are similar
Hence
IJ=IKy=21Answer:
21
Step-by-step explanation:
as angle J and angle K are equal, sides JI and IK are also equal. So y = 21
6. Sam scored 12 points on a math quiz, and he scored 3 points fewer than Alicia. Write an
equation for this situation, and find Alicia's score.
A water storage tank is in the shape of a cone with the pointed end down. If the radius is 21 feet and the depth of the tank is 14 feet, find the volume of the tank in cubic feet. Use 22/7 for π.
The volume of the water storage tank is the amount of space in it
The volume of the water storage tank is 6468 cubic feet
How to determine the volume?The given parameters are:
Radius (r) = 21 feet
Height (h) = 14 feet
The shape of the water storage tank is a cone.
And the volume of a cone is:
V = 1/3πr^2h
So, we have:
V = 1/3 * 22/7 * 21^2 * 14
This gives
V = 6468
Hence, the volume of the water storage tank is 6468 cubic feet
Read more about volumes at:
https://brainly.com/question/1972490
1. Mark practices the piano for 2/3 of an hour, 6 times a week. How many hours does
he practice each week?
Answer:
4 hours
Step-by-step explanation:
2/3*6/1= 12/3
12/3 simplified is 4
Find the diameter of O o. A line that appears to be tangent is tangent. 14 25
Answer:
•SEE BELOW•Let the diameter be represented as x.
Let the diameter be represented as x.Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:
segments would be:(14 + x)(14) = 25^2
segments would be:(14 + x)(14) = 25^2196 + 14x = 625
segments would be:(14 + x)(14) = 25^2196 + 14x = 625Subtract 196 from each side
14x = 625 - 196
14x = 625 - 19614x = 429
Divide both sides by 14
Divide both sides by 14x = 429/14
Divide both sides by 14x = 429/14x = 30.6
Divide both sides by 14x = 429/14x = 30.6Diameter = 30.6
HOPE THIS HELPS!MARK AS BRAINLIAST.A pet store has 11 puppies, including 5 poodles, 3 terriers, and 3 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random without replacement, find the probability that Aaron selects a retriever, given that Rebecka selects a poodle.
Answer: 0.2066
Step-by-step explanation:
Probability of Rebecka selecting a poodle = 5/11
Probability of Aaron selecting a poodle = 5/11
Both select one puppy at random with replacement, so their choices are independent.
Thus, probability that both select a poodle = [tex](5/11)\times(5/11)[/tex]
[tex]= 25/121 \approx 0.2066 \ $or 20.66\%[/tex]
You have a
3/8 chance of winning a scholarship. What are the odds you will get the scholarship?
The 3/8 chance is the probability of winning a scholarship.
The odds of winning a scholarship is 3/5
How to determine the odds?The probability is given as:
P(Win) = 3/8
The odds is calculated using:
Odds = P(Win)/[1 - P(Win)]
This gives
Odds = 3/8/[1 - 3/8]
Evaluate the difference
Odds = (3/8)/(5/8)
Evaluate the quotient
Odds = 3/5
Hence, the odds of winning a scholarship is 3/5
Read more about probability at:
https://brainly.com/question/251701
You deposit $2500 into an account that pay 4%. How much is your account after 15 years if compounded continuously?
Answer:
I think it is 11875
Sorry if im wrong
Hope This Helps
I need help with this one
which of the following ordered pairs (x y) satisfies the system of inequalities above
Just put the options in the inequalities and check if they are true or not :
A ) ( - 1 , 0 )
[tex]2x + y \leqslant 3[/tex]
[tex]2( - 1) + 0 \leqslant 3[/tex]
[tex] - 2 \leqslant 3 \: \: \: kinda \: true[/tex]
And
[tex]x - y < - 3[/tex]
[tex] - 1 - 0 < - 3[/tex]
[tex] - 1 < - 3 \: \: \: false[/tex]
Thus A is wrong
_____________________________________________
B ) ( - 1 , - 1 )
[tex]2( - 1) + ( - 1) \leqslant 3[/tex]
[tex] - 2 - 1 \leqslant 3[/tex]
[tex] - 3 \leqslant 3 \: \: kinda \: true[/tex]
And
[tex] - 1 - ( - 1) < - 3[/tex]
[tex] - 1 + 1< - 3[/tex]
[tex]0 < - 3 \: \: \: false[/tex]
Thus B is wrong
_____________________________________________
C ) ( - 2 , 4 )
[tex]2( - 2) + 4 \leqslant 3[/tex]
[tex] - 4 + 4 \leqslant 3[/tex]
[tex]0 \leqslant 3 \: \: kinda \: true[/tex]
And
[tex] - 2 - 4 < - 3[/tex]
[tex] - 6 < - 3 \: \: \: true[/tex]
Thus C is the correct option
_____________________________________________
U can do D urself ...
Have a great day ♡
meter and Area
1
Casey wants to put new carpet in her bedroom. A drawing of Casey's room is below. It consists of two sections: a square and a
rectangle
The rectangular section has the same width as the square section, but wice the length. If one side of the square section measures 3
yards, how many square yards of carpet should Casey buy for her room?
A 36 square yards
OB 24 square yards
OC 18 square yards
D. 27 square yards
Answer:
18 square yards
Step-by-step explanation:
because if you do 3x3 twice then add the two numbers you get you will get 18.
can somebody explain this to
Check the picture below.
[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(x_2)-f(x_1)}{2-0}\implies \cfrac{0~~ - ~~1}{2}\implies -\cfrac{1}{2}[/tex]
pls help me uwuwuwuuwuwuww
Answer:
128
6
12
48
Step-by-step explanation:
Which of the following is not a way to say 2x + 2?
A.
twice a number plus two
B.
two times the sum of a number and two
C.
two times a number, added to two
D.
the sum of twice a number and two
Answer:
d(sum of twice a no and two)
Step-by-step explanation:
Answer:
correct answer is B
Step-by-step explanation:
two times the sum of a number and 2:
2(x+2), which is not correct
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
160
Step-by-step explanation:
FEJ angle is the large angle and the number in red shows how big it is. Remember the whole thing is 180 degrees.
Adam ate 2 cherries. Stella ate 3 times as many cherries as Adam.
Which number sentence shows how many cherries Stella ate?
What are the solution to the equation below? 4x^2+ 9 = 25
that is the complete answer to the question
Which economic system has no government involvement in the market?
a capitalism
.. communism
C. socialism
l. No economic system is free from government involvement.
Please select the best answer from the choices provided
Answer: I.
Step-by-step explanation:
Capitalism is clearly not the answer. Capitalist governments such as America have their fingers into the economic trading.
Socialism and Communism sound plausible, but Communism is giving people money by their work, and Socialism is everything is owned by the public. Both still involve themselves in markets, so the answer is I
Answer:
d.
No economic system is free from government involvement.
Step-by-step explanation:
IM STUCK CAN SOMEONE HELP
An international company has 22,300 employees in one country. If this represents 18.3% of the company’s employees, how many employees does it have in total?
Round to nearest whole number
I am a polygon that has two pairs of opposite sides that are parallel what am I
A Parallelogram because it is a quadrilateral with 2 pairs of parallel sides!
Please hurry Im timed!!
Divide.
3
2.
mo
-
23
5
9
02
10
11
1
15
ON
9
O3
10
3
014
45
Answer:
39/10
Step-by-step explanation:
.......................
A parallelogram has a base of 12 meters and a height of 7 meters. What is the area?
Answer:
Area = 84 sq meters
Step-by-step explanation:
Area of a parallelogram is:
A = b•h
A = 12•7
A = 84 square meters
Which circle is the graph of the equation (x + 4)2 + (y – 5)2 = 4?
Circle C
Circle B
Circle D
Circle A
Answer: CIRCLE C
Step-by-step explanation:
What are the seven principles of entrepreneurial finance? List them?
Answer: 1) Real, human and financial capital must be rented from owners, 2) Risk and expected reward go hand in hand, 3) While accounting is the language of business, cash is the currency, 4) New venture financing involves search, negotiation and privacy, 5) A venture’s financial objective is to increase value, 6) It is dangerous to assume that people act against their own self-interests, 7) Venture character and reputation can be assets or liabilities.
