Answer:
x² + y² = 841
Step-by-step explanation:
Midpoint of diameter is a center of a circle.
Coordinates of midpoint are
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
d = [tex]\sqrt{(x_{2} -x_{1})^2 +(y_{2} -y_{1})^2 }[/tex]
Equation of a circle with center at (h, k) and radius "r" is (x - h)² + (y - k)² = r²
~~~~~~~~~~
C(20, 21)
D(- 20, 21)
( [tex]\frac{-20+20}{2}[/tex] , [tex]\frac{-21+21}{2}[/tex] ) = (0, 0)
d = [tex]\sqrt{(-20-20)^2 +(21+21)^2}[/tex] = √3364 = 58
r = [tex]\frac{d}{2}[/tex] = 29
x² + y² = 29²
x² + y² = 841
Which is a like radical to 3 sqrt 54 and 3 sqrt 128 when the expression are simplified?
Answer:
A.) [tex]3\sqrt[]{2}[/tex]
Step-by-step explanation:
Edge 2020 assingment
Goodluck everybody!
∛2 is the radical part of both ∛54 and ∛128 when the expression are simplified.
What is Number system?A number system is defined as a system of writing to express numbers.
Let us write the prime factors of 54.
54/2 = 27
When fifty four is divided by 2 we get twenty seven.
27/3=9
Twenty seven divided by three is nine.
9/3=3
So 54 = 2 × 3 × 3 × 3
we know ∛ 3 × 3 × 3 = 3
∛54 = ∛ 3 × 3 × 3×2 = 3∛2
Hence, ∛2 is the radical part of both ∛54 and ∛128 when the expression are simplified.
To learn more on Number system click:
https://brainly.com/question/22046046
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16-2k=14. what is the value of k
Answer:
k = 1
Step-by-step explanation:
16 - 2k = 14
- 16 - 16
-2k = -2
-2 -2
k = 1
Why does the narrator state that taking the road less traveled has made all the difference?
Answer:
See below
Step-by-step explanation:
The phrase itself is a famous few lines extracted from "The Road Not Taken" by poet Robert Frost. The statement "taking the road less traveled" means that someone is acting independently, freeing themselves from the conformity of others (who choose to take 'the road more often traveled.'), generally making their own choices, and perhaps leaving a new trail that will become the road more often traveled
Please help, I’m literally crying
Answer:
1 because 91-18=1
Step-by-step explanation:
Gia opened two savings accounts at two diffrent banks. One account earns an annual 3.4% simple interest, and the other earns half as much. If she deposited $509 in each account, how much total interests will sh have earned in 3 years? A:$153.00 B:$38.25 C:$76.50 D:$51.00
Interest from first account is :
[tex]I_1 = \dfrac{p\times r \times t}{100}\\\\I_1 = \dfrac{509\times 3.4\times 3}{100}\\\\I_1 =\$ 51.918[/tex]
Interest form second account is :
[tex]I_2 = \dfrac{p\times r\times t}{100}\\\\I_2 = \dfrac{509\times 1.7\times 3}{100}\\\\I_2 = \$25.959[/tex]
So, total interest is :
[tex]I = I_1 + I_2 \\\\I = 51.918 + 25.959\\\\I = \$77.877[/tex]
Therefore, total interest is $77.877 .
Carla and Andrew have 29 chocolate chip cookies. Andrew has 8 more than twice Carla’s cookies. How many cookies does each person have?
Step-by-step explanation:
29 cookies
Carla has X cookies
Andrew has 8+ 2X cookies
x + 8 + 2x = 29
3x = 29-8
3x= 21
x = 7 / Carla has 7 cookies
8+ 2x = 8+2•7= 8+14=22 / Andrew has 22 cookies
How are the functions
f(x) = 16* and
19(x) = 161/2
related?
Answer:
F(x) = 16^x = 8^2x
g(x) = 16^1/2x = 8^x
So you can see the relationship. They are all of the type a^bx form, with same base of a, f(x) will have larger increasing rate.
Step-by-step explanation:
HELP ME PLS ITS SO EASY BUT ME BAD
Answerit would be the first one
Step-by-step explanation:
ASAP PLEASE!!!
Graph the equation.
y-3 = -x + 4)
Answer:
i think the correct answer is letter D im not sure
Step-by-step explanation:
Determine whether the given value of the variable is a solution to the inequality 3b + 2 < 14 when b = 4
Answer:
I dont think it that would be the solution because 14 has to be greater and not equal.
Step-by-step explanation:
3(b) + 2 < 14
3(4) + 2 < 14
12 + 2 < 14
14 < 14
4 Isabel is designing a new fish tank that is shaped like a triangular prism with lateral faces made of glass. A model of the fish tank and its dimensions are shown below. 10 in 8 in 1 6 in 8 in What is the lateral surface area of Isabel's fish tank?
Answer: 192 in2
AL=(a+b+c)h=(10+8+6)·8=192
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Answer:
ok and ty oof
Step-by-step explanation:
An account with an initial deposit of 3,500 earns 7.25% annual interest, compounded continuously. How much will the account be worth after 30 years? Round to the nearest cent.
Answer: $28,575.05
Step-by-step explanation:
Formula: FV = (1+r/n)^nt
FV = future value of the deposit
P = principal or amount of money deposited
r = annual interest rate (in decimal form)
n = number of times compounded per year
t = time in years.
3,500(1+7.25%)^30=28,575.05468
7/2x + 1/2x = 10 + 9/2x
Answer:
x=-1/20
Step-by-step explanation:
7/2x+1/2x=10+9/2x
We move all terms to the left:
7/2x+1/2x-(10+9/2x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
7/2x+1/2x-(9/2x+10)=0
We get rid of parentheses
7/2x+1/2x-9/2x-10=0
We multiply all the terms by the denominator
-10*2x+7+1-9=0
We add all the numbers together, and all the variables
-10*2x-1=0
Wy multiply elements
-20x-1=0
We move all terms containing x to the left, all other terms to the right
-20x=1
x=1/-20
x=-1/20
Answer:
[tex] \frac{7}{2} x + \frac{1}{2}x = 10 + \frac{9}{2} x \\ ( \frac{7}{2} + \frac{1}{2} - \frac{9}{2} )x = 10 \\ \frac{ - 1}{2} x = 10 \\ - x = (10 \times 2) \\ x = - (10 \times 2) \\ x = -20[/tex]
What is the value of x
Answer:
4.4
Step-by-step explanation:
10/4=2.5
11/2.5=4.4
Select all ratios equivalent to 2:5
Answer:
Sorry but ummm... you forgot to add a screenshot... :/
Step-by-step explanation:
Maybe post that question again with a screenshot
Answer:
16 : 40
Step-by-step explanation:
it is the only option that will work
1 whole and 9/13 divided by 1/12
Answer: 7 whole and 1/11
Step-by-step explanation: Make 1 9/13 into a improper fraction and flip 1/12 and multiple. Then simplify.
A, O and B lie on a straight line segment where
A=24,B=40 C=31
i)AOB=
ii)ZOB=
iii)XOY=
iv)AOY=
v)YOZ=
Answer:
Step-by-step explanation:
AOB=180°
ZOB =c=31°
XOY=b= 40°
AOY= a+b =24+40 = 64°
YOZ =180-a-b -c=180-24-40-31=85°
Hope this helpsxx
please help with this.
Answer:
b
Step-by-step explanation:
Answer:
I think your answer is B.
Step-by-step explanation:
Not 100% sure though
Pls help I’m bad at math no matter how much I try
Answer:
no it is not
Step-by-step explanation:
Suppose a classroom where a debate is being held has an area of 252 square feet. If the classroom is 14 feet wide, how long is the classroom?
Answer:
18 feet long
Step-by-step explanation:
252 ÷ 14 = 18
:)
Can someone help me? And explain it to me pls<3
HELP ASAP!!!!!!!
PLS I NEED THIS TURNED IN IN 10 MINS
Answer:
slope = 2
y-int = 3
Step-by-step explanation:
y-intercept can be determined by the coordinate (0,3) which is 3 units up from origin on the y-axis
slope can be determined by taking the difference of a pair of y-values and dividing it by the difference of the x-values
ex, 3 - 1 = 2
0 - (-1) 1
or: 5 - 3 = 2
1 - 0 1
If the temperature is 77 F what is it in Celsius
Answer:
25 degrees celcius
Step-by-step explanation:
Here is a list of numbers.
32 29 30 37 34 33 31 Work out the median
Answer:
20, 29, 30, 31, 32, 33, 34, 37
~ the median is: 31 +32 / 2 = 31.5
Step-by-step explanation:
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A system of______linear equations has no solution.
How much of the circle is shaded? Write your answer as a fraction in simplest form.
3/7 and 1/4
Answer: 19/28
Step-by-step explanation:
3/7 + 1/4
Find the LCM for 7 and 4
12/28 + 7/28 = 19/28
What is the measure of an interior angle of a regular nonagon?
In a system of two linear equations, the lines represented by each equation have the same slope. Which could be the total number of solutions to the system of equation
Answer:
Please see explanation
Step-by-step explanation:
A system of linear equations in two variables represents two lines on graph.
When both the lines have same slope, there can be two cases
Same slope with different y-interceptsWhen two lines have same slope and different y-intercepts, that means that both lines are parallel and parallel lines have no solution.
Same slope with same y-interceptsWhen the slope of both lines is same and the y-intercept is also same, this means that both the equations refer to the same line. This means that the system has infinite number of solutions.
Which of the following equations , in it's simplest form , will be equivalent to 3x+2+(-5)?
A: 2+3x+5. B: x-1+x-2+x C: -3-3x-1+x
D: 3-3x
Answer:
The correct answer would be B: x-1+x-2+x
Step-by-step explanation:
First, you would do 2+(-5), from the given equation. Then, it could be simplified to 3x-3. Then, looking at B, you would add the like terms, meaning you would add all the x´s together, and the whole numbers together, giving you 3x-3. I hope I made this easy to understand for you!
