Answer: 4) The center is located at (1, 3), and the radius is 6
Step-by-step explanation:
Solve the general equation of the circle.
x^2 -2x +1+ y^2-6y+9= 26+1+9 (x-1)^2+(y-3)^2=36=6^2
Hence, the coordinates of the center (1,3) And the radius will be 6
The center is located at (1,3) and the radius is 6.
What is center of the circle?"The center is the point from which all of the points on the circle are the same distance."
What is radius of the circle?"The radius is the exact distance from the center to any point on the circle."
We have
[tex]x^{2} -2x+y^{2}-6y = 26\\[/tex]
Add 1 and 9 on both sides of equation
⇒[tex]x^{2} -2x+1+y^{2}-6y+9 = 26+1+9[/tex]
⇒[tex](x-1)^{2} +(y-3)^{2}= 36[/tex]
⇒[tex](x-1)^{2}+(y-3)^{2}=6^{2}[/tex].......(1)
We know the Standard form of equation of the circle
[tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex]
By comparing the standard form and equation (1)
Center (h, k) = (1, 3) and radius is 6
Hence, The center is located at (1,3) and the radius is 6.
Learn more about circle here
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What is the distance around the perimeter of the garden?
O 60 ft
O 60v3 ft
O 120 ft
O 120v3 ft
Answer:
120 ft
Step-by-step explanation:
Find c and multiply it by 4. You're working with one triangle only at first.
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(B)=adj/hyp
Cos(60) = 15 / hyp
hyp = 15/cos(60)
hyp = 30
please help me!!! y’all, i’m dying
Answer:
The answer is A.
Step-by-step explanation:
yes
Answer:
total 10th grades who are 15 years old would be 7 in the empty box
Step-by-step explanation:
2 plus 7 plus 10 is 19, simple math
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!! Solve for X for the following
Answer:
1. 51
2. 8
3. √2 or 1.41
Step-by-step explanation:
using pythagorean theorem
Answer:
1) x = 51
2) x = 8
3) x = [tex]\sqrt{2}[/tex] or approximately 1.4142
Step-by-step explanation:
These are simple Pythagorean theorem questions. Remember, the Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex], where a and b represent the legs of the triangles, and c represents the hypotenuse, the side opposite to the 90 degree angle in the triangle. Now simply use the values of a, b, or c, depending on what is given, to solve for the missing side x.
In question 1, you have two legs with sides 45 and 24. Therefore use the Pythagorean theorem where a and b equal 45 and 24 respectively.
[tex]45^2+24^2 = x^22025+576 = x^22601 = x^2x = 51[/tex]
So the answer to question 1 is 51. Repeat this process for the rest of the questions.
In question 2, we are given the hypotenuse and 1 leg, and are missing the other leg. So set your equation up like so, and then solve,
[tex]x^2+6^2=10^2x^2+36=100x^2=64x=8[/tex]
So the answer to question 2 is 8. Now one last time for the 3 and final question. We are given two legs, and are missing the hypotenuse. So set your equation up similar to the first question.
[tex]1^2+1^2=x^21+1=x^22 = x^2x = \sqrt{2}[/tex]
So the answer to question 3 is [tex]\sqrt{2}[/tex], or approximately 1.4142
Hope this helped
A teacher writes four numbers on the board as shown blow
1
0
4
3
She asked the students to form 4-digit number, and subtract from 4310.
Write two possible solutions
Answer:
909 and 3267
Step-by-step explanation:
There are a total of 24 possible combinations using these 4 digits. This means that any one of these combinations subtracted from 4310 would be a possible solution. Therefore, we can create the following 2 combinations (below in bold) and subtract them from 4310 to get two possible solutions...
4310 - 3401 = 909
4310 - 1043 = 3267
Finally, we have two possible solutions which would be 909 and 3267
Which equation represents an inverse variation?
O y = 2x
Oy-
O yo
X
O y = -5x
ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is 45.
Question:
ABCD is a trapezium in which AB ∥ CD, AD ⊥ DC, AB = 4 cm, BP = 7 cm and DC = 25 cm, then area of the trapezium is ____.
Answer:
101.5cm²
Step-by-step explanation:
The figure for the trapezium ABCD is attached to this response.
To find the area of the trapezium, we use the formula for calculating the area of a trapezium given as follows;
A = [tex]\frac{1}{2}[/tex] x (a + b) x h ------------------(i)
Where;
A = area of the trapezium
a and b are the parallel sides of the trapezium
h = height of the trapezium.
As shown in the figure,
AB and CD are parallel
Therefore, we can say that;
a = AB
b = CD
Also, from the figure,
The height of the trapezium is BP
Therefore, we can say that;
h = BP
We know that;
a = AB = 4cm
b = CD = 25cm
h = BP = 7cm
Substitute these values of a, b and h into equation (i) as follows;
A = [tex]\frac{1}{2}[/tex] x (4 + 25) x 7
A = [tex]\frac{1}{2}[/tex] x (29) x 7
A = 101.5
Therefore, the area of the trapezium is 101.5cm²
The solution of the equation (x+3) squared=7 is
Answer:
( x+3 )² = 7
expand ( x+3 )² : x²+6x+9
x²+6x+9=7
x²+6x+2=0
use a scientific calculator casio mode setup click no 5 , then click 3 input the equation
a = 1
b = 6
c = 2
answer : x = -3+square root 7 or x = -3-square root 7
On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 483 pounds and a standard deviation of 70 pounds. The cow transport truck holds 5 cows and can hold a maximum weight of 2840. If 5 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 2840
Answer: 0.0033
Step-by-step explanation:
Let x be a random variable that denotes the weights of cows.
Given: [tex]\mu = 483,\ \sigma=70[/tex]
maximum weight can be hold= 2840 pounds.
Mean weight = [tex]\frac{2840}{5}[/tex] = 568 pounds
The probability their total weight will be over the maximum allowed of 2840
= [tex]P(X>2840)[/tex]
[tex]P(\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{568-483}{\dfrac{70}{\sqrt{5}}})\\\\=P(z>2.715)\\\\=1-P(z<2.715)\\\\=1-0.9967=0.0033[/tex]
Hence, the required probability = 0.0033
Please help and thank you. Brainliest!
Answer:
B) $22 for 4 pounds of cashews.
Step-by-step explanation:
[tex]\frac{5.5}{1}= \frac{22}{4}\\4(5.5)=22\\22=22[/tex]
Min had some cards
He gave 1/2 of them to bill.
Bill gave 1/3 of those to Sam.
Sam gave Min 2 cards back and kept 6.
How many cards did Min have in the end?
Answer:
26 cards
Step-by-step explanation:
Sam:
⅓=2+6
=8
Bill:
3/3=3×8
=24
3/3=½
24+2=26
Now ,Min have 26 cards.
hope it help
Find two integers whose sum is 5 and product is -66 TWO INTEGRES
NOT 1 TWO
Answer:
-6 and 11
Step-by-step explanation:
The only factors of 66 are 11, 6, 2 and 3
11*6 is the only pair whose product is 66
The difference betwen 11 and 6 is 5
11 must be positive and 6 negative since the sum is positve
If you rolled two dice, what is the probability
that you would roll a sum of 12?
Give your answer as a simplified fraction, Enter
the number that belongs in the green box.
second
first
1 2 4 5 6
11,1 1,2 1,3 1,4 1,5 1,6
212,1 2,2 2,3 2,4 2,5 2,6
33,1 3,2 3,3 3,4 3,5 3,6
44,1 4,2 4,3 4,4 4,5 4,6
5 5,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
Probability is 1/36.
What is probability?The probability is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.
Two dices were rolled.
Total outcomes in sample space: S = 36
Outcomes which have sum as 12 are E = {(6,6)}
Required Probability: P(E)= 1/36
Hence, Probability is 1/36 of which have sum as 12
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Answer:
1/36
Step-by-step explanation:
Evaluate the equation y=2x2 - 2x + 7 for x=-3
Answer:
31
Step-by-step explanation:
y=2x^2 - 2x + 7
Let x= -3
y=2(-3)^2 - 2(-3) + 7
=2 (9) +6 +7
= 18 +6+7
= 31
[tex]\tt{y = 2 {x}^{2} } - 2x + 7 \: ,when \: x \: = \: - 3[/tex]
Let's try![tex]\quad \quad \quad \quad \tt{y = 2 {x}^{2} } - 2x + 7[/tex]
[tex]\quad \quad \quad \quad \tt{y = 2 {( - 3)}^{2} } - 2( - 3)+ 7[/tex]
[tex]\quad \quad \quad \quad \tt{y = 2(9) +6 + 7}[/tex]
[tex]\quad \quad \quad \quad \tt{y = 18 +6 + 7}[/tex]
[tex]\quad \quad \quad \quad \tt{y = 24 + 7}[/tex]
[tex]\quad \quad \quad \quad \tt{y = 31}[/tex]
Hence, the answer is:[tex]\quad \quad \quad \quad \boxed{\tt{\color{green}y = 31}}[/tex]
_______
#LetsStudy
The price of a car is currently 120,000$. The price of the car decreases annually by 2.5%. What is the price of the car after 8 years?
Answer:
97,988.216
Step-by-step explanation:
So, we can find this by using the following formula:
First value(change)^time
We know that the orginal, or first value, is 120,000.
We know that the time interval for this is 8 years, which is our time value.
We know that the decrease in this price is 2.5%. However, this is not our change.
Our change is the 97.5% price that is left.
This makes sense, because you would get a super small price when you use 2.5% as change.
So to sum up what we have done so far:
First value - 120,000
Change - 100%-2.5% = 97.5%. In decimal form: 0.975
Time - 8
So lets plug these into:
[tex]First_.value(change)^t^i^m^e[/tex]
=
[tex]120,000(0.975)^8[/tex]
And remember your order of operations here.
We dont have any equations or expressions inside the parethese, so we can move on to what comes next - exponents.
We have the exponent 8, which is attached to the 0.975.
So in your calculator, take 0.975, and put it to the 8th power.
You should get 0.816651803662261962890625
Lets leave it like this, becuase 120,000 is a very large value, and rounding what you multiply could change what you get in the end.
Now our equation looks like:
120,000(0.816651803662261962890625)
We have done parethese, exponents - now we have multiplication and division.
We do indeed have this, since 120,000(0.816651803662261962890625) could also be written as:
[tex]120,000*0.816651803662261962890625[/tex]
Now multiplying this you should get:
97,998.216439471435546875
This is where you can round your answer.
I do not know what exactly they want you to round to, so its safe to just round your answer to the hundreths place:
97,998.22
So this is the new price of the car!
Hope this helps!
oh I did a mistake earlier , pardon ^^"
Current price (Pₒ) = 120, 000 $Rate of Depreciation (R) = 2. 5% Total Time = 8 yearsLet price after 8 years be P.
Using the compound interest formula of shrinking principal :-
P = Pₒ( 1 - R/ 100) ᵀ
P = 120, 000 ( 1 - 2.5/ 100)ᵀ
P = 120, 000 { (100 - 2.5)/ 100}ᵀ
P = 120, 000{ 97. 5/ 100 }ᵀ
P = 120, 000 {0. 975 } ⁸
P = 120, 000 { 0. 8166}
P = 97,998.216 $
Since, P is is price after 8 years
Answer:-The price of the car after 8 years will be 97, 998. 216 $
Find the equation of the line for each situation.
a line with a y - intercept of 4 and a slope of -1
a line passing through the point (3, 4) and having a slope of -2
a line passing through the points (1, -1) and (9, 3)
Step-by-step explanation:
1) y = -x+4
2) y-4= -2(x-3)
y = -2x+6+4
y = -2x+10
3) slope = (3+1)/(9-1) = 4/8=½
the Equation =>
y+1= ½(x-1)
y = ½x -½-1
y = ½x - 1½ or 2y = x -3
Se ha determinado que la población P (t) de una colonia de bacterias, t horas después de iniciar la observación, tiene una razón de cambio de P'(t) = 350 e0.18t + 220 e-0.3t. Si la población era de 250,000 bacterias cuando se inició la observación, ¿Cuál será la población20 horas después?
Answer:
La población 20 horas después será de 321,161 bacterias.
Step-by-step explanation:
t horas después de iniciar la observación, tiene una razón de cambio de P'(t) = 350 e0.18t + 220 e-0.3t.
Esto implica que la población después de t horas viene dada por:
[tex]P(t) = \int P^{\prime}(t) dt[/tex]
[tex]P(t) = \int (350e^{0.18t} + 220e^{-0.3t}) dt[/tex]
Teniendo en cuenta que
[tex]\int e^{at} dt = \frac{1}{a}e^{at}[/tex]
[tex]P(t) = \int (350e^{0.18t} + 220e^{-0.3t}) dt[/tex]
[tex]P(t) = \frac{350}{0.18}e^{0.18t} - \frac{220}{0.3}e^{-0.3t} + K[/tex]
En que k es la población inicial, o sea, [tex]K = 250000[/tex]. Entonces
[tex]P(t) = 1944.44e^{0.18t} -733.33e^{-0.3t} + 250000[/tex]
¿Cuál será la población 20 horas después?
Esto eres P(20). Entonces:
[tex]P(20) = 1944.44e^{0.18*20} -733.33e^{-0.3*20} + 250000 = 321161[/tex]
La población 20 horas después será de 321,161 bacterias.
HELP PLEASE !!
The drama teacher wants to determine whether more students at the school would attend a comedy or a musical performance. Select all the following that would NOT help the drama teacher draw conclusions about which performance more students would attend.
A. Students who do not act.
B. Every 4th student selected from an alphabetical list of all students at the school.
C. Students who are in drama club.
D. Students who are in theater class.
E. The same number of students from each grade whose names are randomly selected from a hat.
Answer:
A, B, and D
Step-by-step explanation:
Please help thank you.
Step-by-step explanation:
AAA are the correct answer.
It is related to congurency.
Answer:
AAA
Step-by-step explanation:
You have 2 of angles. Add them together and subtract them by 180. That is how to got AAA.
What is the missing number? I’ll mark brainly
Answer:
I think it is 4
I am not sure about it
please help! 10 points, thank you
Answer:
261.5 ft^2
Step-by-step explanation:
Surface Area of a rectangular prism = Length x Width x Height
= 8.5ft x 6ft x 5.5ft
= 261.5 ft
Round 0.006772 to 1 significant figures.
Answer:0.007
Step-by-step explanation: the number after 6 is more than half of ten,therefore it is added to 6 as 1.To leave you with one significant figure.
0 is insignificant
Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4. Show work.
I NEED THIS FAST LIKE PLEASEE HELP
Answer:
y = -1/6x - 1/2
Step-by-step explanation:
y = -1/6x + b
-1 = -1/6(3) + b
-1 = -1/2 + b
-1/2 = b
If the terminal point of ø is (1,0), what is tan ø?
Given:
The terminal point of [tex]\phi[/tex] is (1,0).
To find:
The value of [tex]\tan\phi[/tex].
Solution:
If the terminal point of [tex]\theta [/tex] is (x,y), then
[tex]\tan \theta=\dfrac{y}{x}[/tex]
It is given that the terminal point of [tex]\phi[/tex] is (1,0).
Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get
[tex]\tan \phi=\dfrac{0}{1}[/tex]
[tex]\tan \phi=0[/tex]
Therefore, the value of [tex]\tan \phi[/tex] is 0.
synthetic division problem... pls help asap
Use the completing the square method to transform the equation x2 + 2x = 13 into an equation of the form (x + a)2 = b, where ɑ and b are real numbers What are the values of ɑ and b?
Answer:
(x+1)² = 14
a = 1, b = 14
Step-by-step explanation:
Given the equation, x² + 2x = 13
We are to use the completing the square method to express in the form
(x + a)² = b
x² + 2x = 13
Add the square of half of the coefficient of x to both sides
Coefficient of x = 2
Half of the coefficient of x = 2/2
Square of the result = (2/2)²
Square of the result = 1²
Add (1/2)² to both sides
x² + 2x + (1)² = 13 + (1)²
(x+1)² = 13 + 1
(x+1)² = 14
Compare with (x+a)² = b
a = 1 and b = 14
Which one is it?
a) <
b) =
c) >
Answer:
A: less that
Step-by-step explanation:
4( 14)+3
36+3= 39
39 (2+9)6-7
(11)6-7
66-7
59
39<59
El profesor Héctor y sus alumnos organizaron una excursión a
la Ciudad de México. Visitarán el Centro Histórico, el Castillo de
Chapultepec y el Museo de Antropologia. El costo del transporte
por alumno es de $310.75 y no incluye alimentos.
a) Para pagar el transporte, el profesor Héctor tiene que juntar
el dinero de los 37 alumnos que participaran en la excursion
¿Cuánto dinero debe reunir?
Answer:
$8.39 por pe rsona
Step-by-step explanation:
I will give 25 points for it if solve this problem
Answer:
5/27
30/81 = 10/17
it's just ratios but if you need then vice versa, swap numerator and denominator
Answer:
the person on top is correct :)
Step-by-step explanation:
Find the value of x.
Answer:
Step-by-step explanation:
When two chords intersect inside the circle, the product of their segments are equal.
BE * ED = AE * EC
x *3x = 4 *3
3x² = 12 {Divide both sides by 3}
x² = 12/3
x² = 4
x = √4
x = 2
Answer:
The value of x is 2.
Step-by-step explanation:
We know that , when the two chords are intersect inside the circle, the product of their segment are equal.
So, BE × ED = AE × EC
putting the values
x × 3x = 4 × 3
multiply the values
3 x ² = 12
divide 12 by 3
x ² = 12 / 3
x ² = 4
Taking the square root of 4
x = √4
x = 2
The value of x is 2.
A ratio is equal to 3:8 if the antecedent is 21 find the consequent
Answer:
56
Step-by-step explanation:
To find the "consequent," write out and solve an equation of ratios:
3 x
------- = ------
8 21
Through cross-multiplication, this yields 8x = 63, so that x must be x = 63/8.
Alternatively, solve this modified version of the original equation for x:
3 21
------- = ------
8 x
Then 3x = 8(21), or x = 8(7), or x = 56.
Note that 21 and 56 are in the ratio 3:8
