Write the standard form of the equation of the circle with center (7,1) that also contains the point (−1,−5).
Enter the equation in simplest terms.
pls no links. my computer can't open
Answer:
[tex](x-7)^2+(y-1)^2=100[/tex]
Step-by-step explanation:
1) Find the radius
We can do this by using the distance equation with the centre (7,1) and the given point (-1,-5):
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the points (7,1) and (-1,-5)
[tex]d=\sqrt{(-1-7)^2+(-5-1)^2}\\d=\sqrt{(-8)^2+(-6)^2}\\d=\sqrt{64+36}\\d=\sqrt{100}\\d=10[/tex]
Therefore, the radius of the circle is 10 units.
2) Plug the data into the equation of a circle
Equation of a circle (when not centred at the origin):
[tex](x-h)^2+(y-k)^2=r^2[/tex] where the centre is [tex](h,k)[/tex] and r is the radius
Plug in the centre (7,1) as (h,k)
[tex](x-7)^2+(y-1)^2=r^2[/tex]
Plug in the radius 10
[tex](x-7)^2+(y-1)^2=10^2\\(x-7)^2+(y-1)^2=100[/tex]
I hope this helps!
Rico plots point K at (Negative 2 and one-half, 4 and one-half). Which graph shows the location of point K?
On a coordinate plane, point K is 2.5 units to the right and 4.5 units down.
On a coordinate plane, point K is 2 units to the right and 4 units up.
On a coordinate plane, point K is 2.5 units to the left and 4.5 units up.
On a coordinate plane, point K is 2.5 units to the right and 4.5 units up.
Mark this and return
Answer:
The 3rd answer on the graph
Step-by-step explanation:
On EDGE 2021
Answer:
c
Step-by-step explanation:
the answer would be c
Katie uses the equation y = 30x + 70 to model the data.what is the meaning of the slope of the linear model
Answer:
Step-by-step explanation:
What is the ratio of 4 to 12
Answer:
3?
Step-by-step explanation:
Compare using benchmark fractions or 1. Then choose Yes or No to tell if the comparison is correct.
1/3 > 1/6 Choose... (Yes or No)
4/3 > 8/6 Choose... (Yes or No)
6/5 > 5/6 Choose... (Yes or No)
3/8 < 1/4 Choose... (Yes or No)
Please answer the question quickly if the answer is known.
Thank you!
The comparison of the above fractions are correctly listed below:
1/3 > 1/6 = yes
4/3 > 8/6= No
6/5 > 5/6 = Yes
3/8 < 1/4 = No
What is a fractionA fraction is defined as the part of a whole value which is represented as a numerator and a denominator form.
1/3 is greater than 1/6 because 1/3 = 0.3 which is greater than 1/6 = 0.2
4/3 is not greater than 8/6 because 4/3 = 1.3 which is equivalent to 8/6 = 1.3.
6/5 is greater than 5/6 because 6/5 = 1.2 which is greater than 5/6 = 0.8
3/8 is not less than 1/4 because 3/8 = 0.4 which is greater than 1/4 = 0.3.
Learn more about fraction here:
https://brainly.com/question/28699958
#SPJ1
The rare tweety-birds are decreasing at a rate proportional to the
amount present. On January 1st there are 10,000 tweety-birds.
Fifteen days later, there are only 9,000.
(Problem la, 3 points)
Write a formula for the total amount of birds.
pls help giving brainless. no link!!!!
Answer:
5
Step-by-step explanation:
Count it up 1 on the bottom 4 on the sides
Give me Brainllest
Answer:
5
Step-by-step explanation:
It looks confusing, but if you really pay attention it is a triangular prism
Find the mean absolute deviation of the set of data. Round your answer to two
decimal places.
3, 1, 5, 4, 8,6
Answer:
134568
Step-by-step explanation:
go go go
(-7)+b=(-11) what does b=
Answer:
-4 or 4
Step-by-step explanation:
:)
Someone help me :') picture attached
Answer:
the slope of the line is -4
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
For soccer season, Cameron wants to buy a new soccer ball, a pair of shorts, and a pair of soccer shoes. The ball costs $4.95, the shorts cost $9.10, and the shoes cost $5.50. Cameron has $2.30. How much more money does Cameron need?
Add the three items he wants to buy:
4.95 + 9.10 + 5.50 = 19.55
Subtract how much he has already:
19.55 - 2.30 = 17.25
He needs $17.25 more
A train moving at 40km/h applies brakes so that there is a constant 0.5m/s².find the time taken before the train stops.
Answer:
t = 22.22 s
Step-by-step explanation:
Given that,
The initial speed of the train, u = 40 km/h
Acceleration of the train, a = 0.5 m/s²
Finally, it stops, v = 0
We need to find the time taken by it to stop. using first equation of motion to find it such that,
[tex]v=u+at\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{0-40\times \dfrac{5}{18}}{-0.5}\\\\t=22.22\ s[/tex]
So, it will take 22.22 seconds to stop.
Solve for × and write answer in interval notation.
[tex] \frac{1}{x + 1} \geqslant \frac{3}{x - 2} [/tex]
Answer:
( -∞, -2.5] ∪ (-1, 2)
Step-by-step explanation:
1/(x + 1) ≥ 3/(x - 2)
x - 2 ≥ 3(x + 1)
x - 2 ≥ 3x + 3
x - 3x ≥ 3 + 2
-2x ≥ 5
x ≤ -2.5
Interval notation:
( -∞, -2.5] ∪ (-1, 2)
Does anyone know what the answer please??
Answer:
x=4
Step-by-step explanation:
im pretty sure you make the equation equal to eachother so its 9x+4=5x+20
combine like terms
4x=16
x=1/4
a number and multiplied by 7?
y + 7
y / 7
y - 7
7y
its 7y bcs y + 7 is addition,y / 7 is division and y - 7 is subtraction
Someone out here know the answer?
Answer:
k = -5
Step-by-step explanation:
f(9) = 2/3*9 +k
f(9) = 6+k
k = -5
What is the function as to how it’s graph is related to the parent function f(x)=3squared
hhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllpppppppppppppppp please this the last question so I could get a b
Answer:
What is your question so I can answer it directly okay
help me dont put link when answering question
Answer:
b
Step-by-step explanation:
D
9
CD = [?]
A 3 B 3 C
Enter the number that belongs in
the green box.
Enter
Answer:
hi
Step-by-step explanation:
i think it is probably 9
hope it helps
what is equivalent to 5:2
Answer:
2.5:1 or 2.5
Step-by-step explanation:
5/2 ÷ 2 would give you 2.5/1 or 2.5
pls who can help me ans my maths questions plssss and I will give you a brainliest
Answer:
but please where is the question?
67,124 x three fourths = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning.
1. Solve the inequality 2x-5>11
Answer:
X=9
Step-by-step explanation:
2(9)-5 > 11
18-5 > 11
13>11
2x-5>11
2x-5+5>11+5 five will be cancelled five
2x>11+5
2x>16 divide 2 by 2 you get x then divide 16 by 2
x>8 this means x is greater than eight {x= 9,10,11,12.......}
Find the derivative of f(x) = -12x2 + 9x at x = 6.
a) -112.5
b)-135
c)90
d)108
hi
f(x) = -12x²+9x
So
f'(x) = -24x +9
if x = 6 then f'(6) = -24 (6) +9 = -135
Joy has an evenly divided spinner with one of the letters A through E in each section. She also has a number cube with one of the numbers 1 through 6 on each side
E AA
D B
What is the probability of rolling a 5 and spinning a B?
11
30
1
11
5
6
1
30
Answer: 1/30
Step-by-step explanation:
In Joe's fish tank, there are 5 goldfish and 9 snails. How does the ratio 9:14 describe Joe's fish tank?
The ratio 9:14 compares the number of goldfish to the total number of animals.
B.
The ratio 9:14 compares the number of goldfish to the number of snails.
C.
The ratio 9:14 compares the number of snails to the total number of animals.
D.
The ratio 9:14 compares the number of snails to the number of goldfish
FInd the unknown value of:
18 = 3 + x
x = ?
the answer to the equation is x=15
Find the missing the terms of the arithmetic sequence
Answer:
1.7
Step-by-step explanation:
2.3, 3.1, 1.9, 1.7, 1.5 (-0.2)
The sum of the interior angle measures of a convex polygon is 540° . How many sides does it have?
