What is the equation of the circle in center - radius form: x² + y2 + 12x - 10y
- 7 = 0?
Answer:
Radius: √ 61
Step-by-step explanation:
Complete the square for x^ 2 + 12 x = ( x + 6 ) ^2 − 36
Substitute ( x + 6 ) 2 − 36 for x 2 + 12 x in the equation x 2 + y 2 + 12 x − 10 y = 0
= ( x + 6 ) 2 − 36 + y 2 − 10 y = 0
Move − 36 to the right side of the equation by adding 36 to both sides
= ( x + 6 ) 2 + y 2 − 10 y = 0 + 36
Then you know the rest: radius will be √ 61
The center coordinate of the circle is (6,5) with a radius = 7.34
What is the equation of the circle?The equation of the circle is: [tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2}[/tex]
Substituting the values in the equation:
[tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2} - 2ax + a^{2} + y^{2} - 2by +b^{2} - r^{2} = 0[/tex]
⇒ -2ax = -12x
⇒ a = 6.
-2by = -10y
b= 5.
⇒ a² + b² - r² = -7
⇒ 6² + 5² + r² = -7
⇒ 36 + 25 + r² = -7
⇒ r² = 54
⇒ r = 7.34
Center coordinate (6,5) with r = 7.34
Learn more about the equation of the circle here: brainly.com/question/1471134
#SPJ2
5
7
2
8
1) what is the area (square units)
Solve the literal equation for x.
k= nx - 3x
answer:X=k/n-3
explain:move all terms to the left side and set equal to zero. then set each factor equ to zero!
I hope this helps
Please help quickly
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
Part A: Describe two types of transformations that can be used to transform f(x) to g(x).
Part B: Solve for k in each type of transformation.
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x).
Answer:
Step-by-step explanation:
The graph of f(x) becomes the graph of g(x) if the former is translated UP 18 units. k = 18.
The graph of f(x) becomes the graph of g(x) if the graph of f(x) is translated 6 units to the left. k = 6
Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
Here are the answers
#2
Reflexive sides
#3
Already given in question
#4
Given in the question
#5
By bisector definition
#6
Third angle therom
#7
Angle-Side-Angle
Shiva drank 2 3 liter of water Monday before going jogging. She drank 3 7 liter of water after her jog. How much water did Shiva drink altogether?
Answer:
2/3 = 16/243/8 = 9/2416/24 + 9/24 = 25/2425/24 = 1 and 1/24
Step-by-step explanation:
common factor of 24 plz
Hey there!
Factors of 24 are 1, 2, 3, 4, 6, 8 & 12.
24 = 1 × 2 × 2 × 2 × 3
24 = 2³ × 3 × 1
1 × 24 = 24
2 × 12 = 24
3 × 8 = 24
4 × 6 = 24
Hope it helps ya!
What does this sentence mean? Or write the formula
Find all sets of 2 consecutive positive integers with a sum that is at least 8 and less than or equal to 24.
Answer:
An odd integer is denoted by 2n+1 where n is an integer.
First odd integer = 2n+1
Next odd integer = 2n+3
8 ≦ (2n+1)+(2n+3) < 24
8 ≦ 2n+1+2n+3 < 24
8 ≦ 4n+4 < 24
Divide through by 4
2 ≦ n+1 < 6
Subtract 1 for all three sides:
1 ≦ n < 5
n ∈ {1,2,3,4}
Answer: {2n+1, 2n+3} {1,3}, {3,5}, {5,7
Step-by-step explanation:
add on a number line :(+7). (-7)
Answer:
-8———————0——————————10
-7 7
That’s -7 and 7 on a number line. If you count the — each is one so that is where they would be if you plotted the number line.
Step-by-step explanation:
How many solutions does this equation have. 3x + 99 = 3 (x + 33)
Answer:
Infinitely many solutions
Step-by-step explanation:
3x + 99 = 3 (x+33)
distribute 3 to x and 33
3 * x = 3x
3 * 33 = 99
3x + 99 = 3x + 99
If the expressions on both sides of the equal sign are the same, then solving for them would result in 0 = 0 meaning that the equation has infinitely many solutions
-2(y+2)+6y Need help
Answer:
4y-4 Hope this helps! :)
Step-by-step explanation:
Which expression simplifies to 5√3?
Answer:
C.
[tex] \sqrt{75} [/tex]
Step-by-step explanation:
You can just enter it in the calculator to see which is equal to
[tex]5 \sqrt{3} [/tex]
parallel perpendicular or neither
A line has a slope of 3 and passes through the point (3, 3). What is its equation in slope-intercept form?
Answer:
y=3x-1
Step-by-step explanation:
The y-intercept is at -1 if you go down 3 left 1, and then down 3 left 1 again and you are left at (0,-1)
If Nicole is tardy to class again, she will get detention. If Nicole gets detention, her mother will take her phone. What’s the conclusion?
Answer:
She needs to get to class on time
Step-by-step explanation:
If shes tardy shes going to get detention which will lead to her phone getting took.
Whoever answers first gets brainliest, 5 stars, and a thanks! Pls help asap!
Answer:
a. In the first step: Nick is supposed to subtract 1 1/2 instead of adding it
b. He should subtract 1 1/2 instead
c. 3 3/22
Step-by-step explanation:
Work for c.
4 7/11 - 1 1/2
4 14/22 - 1 11/22
3 3/22
-Chetan K
Answer:
3 3/22
Step-by-step explanation:
a) he subtracted 5 from a mixed fraction without converting it first
and for 1 1/2 - sign should be there
b) first convert mixed fraction and add the terms in the parentheses
c) 9 7/11 - (5 + 1 1/2)
= (9*11 + 7) / 11 - ( 5 + (1*2 + 1)/2 )
= 106/11 - (5 + 3/2)
= 106/11 - (5*2 + 3)/2
= 106/11 - 13/2
= lcm of 2 and 11 is 22
= (106*2 - 13*11) / 22
= (212 - 143) / 22
= 69/22
= 66 + 3 / 22
= 3 3/22
The area of the regular pentagon is 6. 9 cm2. A regular pentagon has an apothem with length 1. 38 centimeters and an area of 6. 9 centimeters squared. What is the perimeter? 2 cm 5 cm 10 cm 20 cm.
The perimeter of the regular pentagon is 10 centimeters.
Given that the area of the regular pentagon is 6.9 cm2, and a regular pentagon has an apothem with length 1.38 centimeters and an area of 6.9 centimeters squared, to determine what is the perimeter the following calculation must be performed:
(Perimeter x apothem) / 2 = Area 1.38X / 2 = 6.9 1.38X = 13.80 X = 13.80 / 1.38 X = 10
Therefore, the perimeter of the regular pentagon is 10 centimeters.
Learn more about maths in https://brainly.com/question/11993520
g(n)=n^2-4
h(n)=4n+5
find g°h
Answer: g(4n+5) = 16n^2 + 40n + 30
Step-by-step explanation:
g(n)=n^2-4
h(n)=4n+5
find g°h
g°h is g(4n+5) = (4n+5)^2 + 5
g(4n+5) = (16n^2 + 40n + 25) + 5
g(4n+5) = 16n^2 + 40n + 30
The swim coach is planning to attend the district swim meet next week. She must decide who will swim the different events. Find the combined time of her star swimmers as well as the difference of their times for the 25-Meter Freestyle.
The combined Time is ------ seconds
The difference of Times is ------- second
Answer:
the combined time 55.316
diffrence of times 0.856
Step-by-step explanation:
its 6th grader math
Answer:
55,316 0.856
Step-by-step explanation:
Carlos bought 17 boxes of cereal. This is 20% of the total boxes at the store. In order to find the total number of boxes at the store, what do you need to find?
A) the part
B) the whole
C) the percent
D) benchmark percent
Answer:
The whole
Step-by-step explanation:
If the part is 20% then you already have a part of a whole, now you need to find the entire thing
What is the final amount if 700 is decreased by 6% followed by a 7% increase?
Give your answer rounded to 2 DP.
Answer:
700 -6% =658 and 658-7%=611.94
I NEED TO FINISH THESE BY NEXT WEEK
Answer:
Multiply both sides by 6: 4x - 42 = 5
Step-by-step explanation:
(2/3)x - 7 = (5/6)
Multiply both sides by 6:
6*(2/3)x - 6*7 = 6*(5/6)
(12/3)x - 42 = 5
4x - 42 = 5
Guided Practice
Type your answer and then click or tap Done.
What is the vertex of the parabola with the equation y=15x^2+2x−8?
Answer:
(Fill in the blank text field 1
-5
, Fill in the blank text field 2
-13
)
Step-by-step explanation:
(Fill in the blank text field 1
-5
, Fill in the blank text field 2
-13
)
Done
The vertex of the parabola is (−5, −13).
Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
−
1
/15
,
−
121
/15
)
Find the vertex form.
y
=
15
(
x
+
1
/15
)
2
−
121
/15
6(3x-1-2x)=(2x-5-8)
determina el conjunto de la ecuacion lineal
6(3x-1-2x)=(2x-5-8)
Expand expression 1 : 18x-6-12x
18x-6-12x=2x-5-8
Collect like terms
18x-12x-2x= -5-8+6
4x= -7
x= -4/7
Solve for z? Question in photo
Answer:
z = 3
Step-by-step explanation:
I hope this helps!
1The lengths of pregnancies are normally distributed with a mean of 271 days and a standard
deviation of 20 days. If 64 women are randomly selected, find the probability that they have a mean
pregnancy between 271 days and 273 days.
A) 0.2881
B) 0.5517
C) 0.2119
D) 0.7881
[tex]probablity = \frac{271}{273} \\ = 0.99267399267[/tex]
The elves have $120 to spend on boxes of candy canes and boxes of ornaments. Each box of candy canes costs $3.00
and each box of ornaments costs $12.00. Let x represent the boxes of candy canes and y represent the boxes of
ornaments. Write an equation that describes the number of boxes of candy canes and ornaments that the elves can
buy.
Answer:
[tex]3x + 12y = 120[/tex]
If this problem needs solved like the other one I answered with the reserved seats and general admission, it is done the exact same way as that one.
Given numbers 2 ,5,11, 4.5, 1/10, V3 then
a. Write two prime numbers from the above.
b- An integer root 121
c- A number 25 % of 18
d- An irrational number
Answer:
a. pick two between 2,5 or 11, they are all primes.
b. it's 11 since
[tex]11 {}^{2} = 121[/tex]
c. that's
[tex]18 \times \frac{25}{100} = 4.5[/tex]
(or think about it as half the half of 18, so half of 9)
d.
[tex] \sqrt{3} [/tex]
Rest can be written as a fraction
solve for x
3x/6 + 1 = 7
Please help! I need to turn this in today.
Answer:
C this is the answer
Step-by-step explanation:
hope this helps
Answer:
B
Step-by-step explanation:
Area = Width X Length
9x+6 / 3 = 3x + 2