The points on the circumference are (3, 5), (3, -9), (8, -2 + √24) and (8, -2 - √24))
How to determine the points on the circumference of the circle?The circle equation is given as:
(x-3)^2 +(y+2)^2= 49
Rewrite as:
(y+2)^2= 49 -(x-3)^2
Take the square root of both sides
y+2= ±√[49 -(x-3)^2]
Subtract 2 from both sides
y = -2 ± √[49 -(x-3)^2]
Next, we determine the points
Set x = 3
y = -2 ± √[49 -(3-3)^2]
Evaluate
y = -2 ± 7
Solve
y = 5 and y = -9
So, we have
(x, y) = (3, 5) and (3, -9)
Set x = 8
y = -2 ± √[49 -(8-3)^2]
Evaluate
y = -2 ± √24
Solve
y = -2 - √24 and y = -2 + √24
So, we have
(x, y) = (8, -2 + √24) and (8, -2 - √24)
Hence, the points on the circumference are (3, 5), (3, -9), (8, -2 + √24) and (8, -2 - √24)
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650^4×650^5= 650 to the what power
Answer:
650^9
power gets added when base is same
the product of two consecutive integers is 90. Find the two integers then check your answer
Answer:
9,10 or -10,-9
Step-by-step explanation:
Let call the first integer n and the second integer n+1 since they are consecutive.
Since the product of the integer is 90 set up this equation
[tex]n \times (n + 1)= 90[/tex]
[tex]n {}^{2} + n = 90[/tex]
Subtract 90 to get it on the left side
[tex] n {}^{2} + n - 90 [/tex]
Apply quadratic formula
[tex] - 1 + - \sqrt{ \frac{1 {}^{2} - 4(1)( - 90) }{2(1)} } [/tex]
[tex] - 1 + - \sqrt{ \frac{1 - ( - 360}{2} } [/tex]
[tex] - 1 + - \sqrt{ \frac{1 + 360 = 361}{2} } [/tex]
[tex] - 1 + - \frac{ \sqrt{361 = } 19}{2} [/tex]
The roots are n= -10 and 9. We can use either root but let use a positve root
We are taking the positve roots
Plug 9 as n into n+1
[tex]9 + 1 = 10[/tex]
or
[tex] - 10 + 1 = - 9[/tex]
WHOEVER HELPS AND GETS IT RIGHT I WILL GIVE BRAINLY!!!!!
Answer:
x<-2 or x>6
written as x<-2;x>6
Step-by-step explanation:
Evaluate the function when x = 12.
{(-9, 1), (3, 4), (6, 2), (12, -6)}
A. -6
B.1
C.4
D.2
Answer:
It is the second one B
Step-by-step explanation:
what is 8% as a decimal or fraction in simplest form and a fraction of 100
Answer:
=B2*C2+B3*C32.29*20 = 45.80 and 3.49*35 = 122.15.
Step-by-step explanation:
what is the measure that is complementary to an 20 degree angle
En un modelo de un castillo, 1 pulgada equivale a 83 pies. El modelo mide 10.5 pulgadas de ancho. ¿Cual es el ancho real del castillo?
Ayúdenme porfavo ;w;
Responder:
1" = 83 ft
10.5" = 83*10.5=871.5 ft
Explicación paso a paso:
Espero que esto te ayude ¡UwU! Saludos, Jaclyn
it's is estimated that each guest at the party will eat 5/8 pounds of chocolate.How. many guest can be served with 10 pounds of chocolate?
Answer: 16
Step-by-step explanation:
Guests = x
5x/8 = 10
x = 16
16 guests can be served with 10 pounds of chocolate when estimated each guest at the party eat 5/8 pounds of chocolate.
it's is estimated that each guest at the party will eat 5/8 pounds of chocolate. We need to find number of guests can be served with 10 pounds of chocolate
What is Equation?
Two expressions with an equal sign is called as equation.
When it's is estimated that each guest at the party will eat 5/8 pounds of chocolate. We need to find number of guests can be served with 10 pounds of chocolate.
we need to divide 10 by 5/8 to find the answer
10/(5/8)=10*8/5=80/5=16
Therefore 16 Guests can be served with 10 pounds of chocolate.
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What is the solution to x+4y=-1 and 2x + 5y=10??????
In the expression 710 , which number is the exponent?
A) 10
B) 70
C 7
D) None of the above
Answer:
A.10
Step-by-step explanation:
An exponent is a number or letter written above and to the right of a mathematical expression called the base.
x is the base and n is the exponent or power. Definition: If x is a positive number and n is its exponent, then xn means x is multiplied by itself n times.
A basketball and a pump cost $31. If the basketball costs three times as much as the pump, how much does each item cost?
Answer:
7.75
Step-by-step explanation:
31 divided by 4= 7.75
Write inequalities to represent the situations below. The temperature inside the lab refrigerator is no more than 35 . Use t to represent the temperature (in ) of the refrigerator.
Answer:
t is less than or equal to 35
Step-by-step explanation:
2. Evaluate the expression when a = 3
2a + 8
Help PlEaSeEeE!!! This us late and as if right now summer school fir me
Step-by-step explanation:
When a = 3
2a + 8
= 2* 3 + 8
= 6 + 8
= 14
00:00
Which pair of numbers has a GCF of 8?
8 and 28
16 and 56
32 and 16
40 and 55
How do you get the answer
Answer:
B. 16 and 56
Step-by-step explanation:
The greatest common factor or GCF, is the highest whole number that is a factor, or that multiplies to get, two or more numbers.
For example, option a, 8 and 28. 8 is a factor of 8, 8 times 1, but 8 is not a factor of 28. 28 divided by 8 will not give you a whole number.
Option c, 32 and 16, both have factors of 8. 4*8 is 32 and 8*2 is 16. This however, is not the gcf, because the true gcf is 16. 16*1 is 16 and 16*2 is 32. 16 will go into both evenly and is the highest number that will do so and is the gcf of that pair
d, 40 and 55, is the same as the first. 8*5 is 40, but 8 will not evenly go into 55 and cannot be a factor.
That leaves you with 16 and 56, the correct option
16 only has 3 factors, 16*1, 8*2, and 4*4, so 16, 8 and 4.
56 has more factors, 28, 14, 8, 7, 4, and 2. Those are the only numbers that multiply together to get 56. The highest number in both those lists is 8, so 8 is the Greatest Common Factor.
Hope this helps, and brainliest is much appreciated! Have an awesome day.
Please help it’s urgent
Answer:
1750 sq m
Step-by-step explanation:
100 x 85 = 8500 and 90 x 75 = 6750, so take away 6750 from 8500, 8500 - 6750 = 1750 sq m
Using your linear function, find the distance traveled in 7 hours.
Answer:
Looking at graphs we count the distance at the side for every change point, imagine a distance going 10miles and then staying at 10 miles on the second hour we keep 10 miles and pick the next new number as the linear graph moves up.
We do not count any horizontal lines twice as this shows stationary journeys meaning constant time, we know time is always at the bottom of graphs and just count the points by matching each point to the distance until you get from 0-7 hrs across the graph.
We show the numbers also as they descend as this counts as positive hours too. A descent in miles is not a descend in hours so the mileage gets bigger if we are reading it left to right and slopes descend.
Step-by-step explanation:
y = 350 miles
count to see if they are more than 350miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
y = 455 miles
count to see if they are more than 455miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
y = 140 miles
count to see if they are more than 140miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
y = 280 miles
count to see if they are more than 280 miles on the line as it goes up across and down, counting only once if it stays straight, and count again if its straight at any other point. always count from a to b to c etc.
how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.
Answer:
The final balance is $5,796.37.
The total compound interest is $796.37.
Step-by-step explanation:
a town has a population of 70,230 in the year 2020. Over the next five years, 6556 people move into the town for work, but 4096
Answer:
63,674
Step-by-step explanation:
70,230-6556
=63,674
help and please explain will give brainliest
Answer:
2.83
Step-by-step explanation:
36 pi = pi×r×r×h
36=r×r×h
h= 4
36= r×r×4
8=r×r
[tex] \sqrt{8} = x[/tex]
r= 2.83
What is the correct factorization of -3x^2+16x+35
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
8x=63-x what is the solution?
Answer:
X = 7. You can confirm the answer yourself by plugging in this number. I hope I helped :)
Step-by-step explanation:
Please mark as brainliest.The Valley Middle School library just added 250 books to the shelves. Of those books, 40% are fiction. How many of the new books are fiction?
Answer:
100
20 = 50
50 x2
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
250 books × 40%
= 100
other way to solve it is
250 × 0.40
= 100 fiction books
Which table represents a linear function?
Answer:
no lo se xd sorry
no la se jjgtubxdtjk
Ani spent a total of $7.53 at a store. She bought some cereal for $3.67. She also bought 6 peaches.
If each peach cost the same amount, which equation can be used to find the cost of each peach, P?
A. P = $7.53-6
B. P = $3.67 6
C. P= $7.53 - ($3.67=0
D. P= ($7.53 - $3.67) = 6
E. P= ($7.53 + $3.67) = 6
Answer:
D
Step-by-step explanation:
It says she spent $7.53 at the store and she bought (SOME) cereal for $3.67
so we have to find how much the 6 peaches cost. To find it out we are going to have to subtract the cereal she bought from $3.67 and the money she wasted total so its going to be D.
y
10
8
6
4
2
X
-10
-8
-6
-4
-2.
NS
4
ON
8
10
-2
-4.
-6
-8
-10
Solve –2(3x – 1) = 20 for x
Answer:
x = -3
Step-by-step explanation:
Distribution
3x(-2) -1(-2) = 20
-6x +2 = 20
Subtraction Property of Equality
-6x + (2 - 2) = (20 - 2)
-6x = 18
Division Property of Equality
(-6x/-6) = (18/-6)
x = -3
To check just plug in x
Would the mass of a mouse more likely be 150 gram or 150 kilograms
Answer:
150g most likely
Step-by-step explanation:
kg are a thousand times more than a gram
A Ferris wheel has a radius of 48 feet. What is the distance a passenger will travel one time around the Ferris wheel?
96.0 feet
150.8 feet
301.6 feet
603.2 feet
HURRY PLEASEE
✿✿✿✿✿✿
WILL MARK BRAINLIEST
Which value of x makes x-3/4 + 2/3 = 17/12 true?
Answer:
3/2Step-by-step explanation:
Let's solve your equation step by step:
Step 1: Simplify both sides of the equation.
x-3/4+2/3=17/12
x+-3/4+2/3=17/12
(x)+(-3/4+2/3)=17/12 (Combine like terms)
x+-1/12=17/12
Step 2: Add 1/12 to both sides
x+-1/12+1/12=17/12+1/12
x=3/2
write 7^3 × √ 7 as a single power of 7
Step-by-step explanation:
7^3 × 7^(1÷2)
= 7^(3+ 0.5)
=7^3.5 ans