Answer:
(x + 1)² + (y + 1)² = (√6)²
Step-by-step explanation:
Group the x- and y- terms together:
9x^2 + 18x + 9y^2 + 9y = 36
Factor out the coefficient 9:
x^2 + 2x + y^2 + y = 4
Complete the square of x^2 + 2x and then do the same for y^2 + 2y:
x^2 + 2x + 1 - 1 + y^2 + 2y + 1 - 1 = 4
Rewrite x^2 + 2x + 1 as the square of the binomial x + 1:
(x + 1)^2 + (y + 1)^2 - 2 = 4
Collect the constant terms on the right side:
(x + 1)^2 + (y + 1)^2 = 6
Rewrite 6 as (√6)^2:
(x + 1)² + (y + 1)² = (√6)² is the equation in standard form (x - h)² + (y - k)² = r²
Completing the square is done as follows: x^2 + 2x
Start with x^2 + 2x
1. Take half of the coefficient of x, which results in 2/2, or 1
2. Square this result and add it to, and subtract it from x^2 + 2x
x^2 + 2x + 1 - 1
3. Rewrite the first three terms as the square of a binomial:
x^2 + 2x + 1 - 1 = (x + 1)² - 1.
Do the same for y² + 2y.
Michelle wrote a total of 12 pages over 3 hours. How many hours will Michelle have to spend
writing this week in order to have written a total of 20 pages? Assume the relationship is
directly proportional.
hours
Answer:
5 Hours
Step-by-step explanation:
12/3 = 4 . 3/3 = 1
4,8,12,16,20
1,2,3,4,5
1 Hour = 4 Pages
2 Hours = 8 Pages
3 Hours = 12 Pages
4 Hours = 16 Pages
5 Hours = 20 Pages
I need help pleaseee
Answer:
x is 103 cause it is opposite angles and y is 77 180-103 hope this helps you
Answer: x=103° y=77°
Step-by-step explanation:
Opposite angles are always the same so, as x is opposite to 103°, it would be 103° too.
To work out what y is you would have to do 180-103=77°. The reason why is because angles on a straight line always add up to 180° and you can see that 103° and y are on the same line.
Hope this helps :)
£250 in the ratio 3 : 5
Answer:
Let 3x and 2x are divided into 250.
Step-by-step explanation:
3x + 2x = 250
⇒ 5x = 250
⇒ x = = 50
∴ 3x = 3 × 50 = 150 and
2x = 2 × 50 = 100
Thus, the required numbers are 150 and 100.
1. 2x - 8 when x = 3
2. 45 - (4 . y) when y = 5
3. 32 + 2g -7 when g = 4
Answer:
2(3)-8
=-2
45-4.5
=40.5
32+2(4)-7
=33
Answer:
1.x37
2.66y
3.59g
Step-by-step explanation:
so you divied and subtract
you do the same
but add for the last
Kendra washes windows in an office building. She washes 25 of the windows on Monday. She washes 13 of the windows on Tuesday. What fraction of the windows remain for Kendra to wash?
Answer:
4/15
Step-by-step explanation:
solve the following equation -3(3 + 6b) = 36 +3b
Answer:
Exact Form:
b=-5/7
Decimal Form:
b=-2.142857
Mixed Number:
b=-2 1/7
What is the volume of the cone in the diagram
You have the option to deposit $6500 into an account that pays 3.25% interest, compounded quarterly OR to deposit your money into an account that pays the same interest rate but compounds continuously. Which option yields you more money after 5 years and how much more?
Answer:
Step-by-step explanation:
Plug in the giving information, P = 4000, r = 0.06, n = 4,
and t = 5.
Use the order or operations to simplify the problem. If the
problem has decimals, keep as many decimals as possible
until the final step.
FV = 5387.42 Round your final answer to two decimals places.
Find the value of x and y in the given parallelogram
Answer:
Step-by-step explanation:
9y-4 = 50
9y = 54
y= 6
9y-4+7x+xy = 180
9(6)-4+7x+6x= 180
54-4+13x = 180
13x+50 = 180
13x = 130
x = 10
I need help. Please give THE RIGHT ANSWER
the answer is in the pic
HELP PLZ AGAIN. Same material. It is still timed. Will give 75 pts and brainly. This is vital to my math grade. Time is on the essence and my math grade is at stake if I do not pass this. I need Slope Intercept form for the equation. HELP HELP HELP PLZ.
Answer:
m= (-9+5)/5-3
Step-by-step explanation:
I just learned this and the equation is
m=(y2-y1)/x2-x1
so good luck brotha
Answer:
b(y-intercept)=(0,1) and M(slope)=-2
Step-by-step explanation:
use the slop formula and the slope intercept form to find the slope and y intercept. slope -2. y-intercept (0,1)
with that information, the equation would be y=mx+b. y=-2x+(0,1)
Kaylee and her friends are going into a bakery. How much would it cost to buy 1 donut and 5 cookies if each donut costs $2.00 and each cookie costs $1.25? How much would it cost to buy 11 donuts and 55 cookies if each donut cost \$d$d and each cookie cost \$c?$c?
I need the work as well
Answer:
$90.75
Step-by-step explanation:
$2 (for each donut) x 11 (the number of donuts they want
=22
Then
$1.25(for each cookie) x 55 (the number of cookie they want)
=$68.75 +$22
=90.75
Can anyone help me with this?
Answer:
307.5
Explanation:
First 65 x 10.50 then 990-682.5
simplify √7/18 please help
√14/7
√14/6
√6/14
Answer:
14/6
Step-by-step explanation:
what's a real world scenario that would use sine to solve?
Answer:
Radio waves, tides, musical tones, electrical currents
Rectangle A'B'C'D' is a dilation of rectangle ABCD.'
What is the scale factor?
Enter your answer in the box.
I need help ASAP!
Answer:
4 is your answer
Step-by-step explanation:
What are the distances from the point (x,y) to the focus of the parabola and the directrix, select two answers
Answer:
3,5
Step-by-step explanation:
axis
PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!
Answer:
Step-by-step explanation:
⅔n - 5 = ⅓n + 7
⅓n = 12
n = 36
EXPLAIN YOUR WORK PLZ
AJ worked 48 hours last week. He earns $15.40 per hour plus overtime, at the usual rate, for hours exceeding 40 hours. What was his gross pay?
A $644.80
B$739.20
C$800.80
D$1,108.80
Answer:
D
Step-by-step explanation:
It will be $1,108.0 Because if you devide 40 by the hours, Plus the pay which is 15.40 You will get D
Please Help ! ill give you brainlist pleaseeee i don't wanna fail I wanna make my mom proud please .
Answer: 1) 8x + 2 = 90 1a. 11 2. 13x-10= 133 2a. 11
Both solve for 11.
Step-by-step explanation: 1) they’re both the same measure so they equal each other
Subtract 2 from each side 8x = 88 and x is 11
13x - 10 = 133 they’re both the same measures so they equal each other.
Add 10 to both sides because it’s already negative and 13x = 143 and you get 11
Answer:
11 for both
Step-by-step explanation:
What is the circumference of the following circle when diameter = 9 cm
Answer:
The answer is C≈28.27cm
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·9≈28.27433cm
Answer:
diameter of 9
radius 4.5
4.5 x 3.14= 14.13
ignore this- the other person got it right. I messed up and can't delete it. Sorry!
please help me I'm really behind
Answer:
50.24
Step-by-step explanation:
4 = radius
To get the diameter you need to multiply the radius by two 4 x 4 = 16 use 3.14 = 3.14 x 16 = 50.24 THERE IS THE ANSWER!!!!
Catch up btw
Answer:
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plssss help meeee it's due today
Answer: use math papa.com
Step-by-step explanation:
Find the difference. Type your answer in standard form
[tex](5n - 2) - (3n - 8) \\answer = 2n + 6[/tex]
Can someone help me with this? But also explain how they got the answer so I understand
Answer:
(4,2)
Step-by-step explanation:
So proportional means that it is the same rate. I believe it is (4,2) because from 4 to eight is 4 and from 2 to 6 is also 4 and there for it is proportional.
PLS HELP DUE IN 5 MINS
Write an equation in slope intercept form for the line that passes through (-2,3) and is parallel to the graph of y=-3/4x+4
Answer:
When the equation parallel the graph then the measure of the equation is - 3/4
Then the equation is y=-3/4x+c
By using the point(-2,3)
[tex] y = \frac{ - 3}{4} x + c \\ 3 = \frac{ - 3}{4} \times - 2 + c \\ 12 = 6 + 4c \\ 4c = 6 \\ c = \frac{3}{2} [/tex]
Then the equation is
[tex]y = \frac{ - 3}{4} x + \frac{3}{2} [/tex]
Step-by-step explanation:
If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything
I need help on this homework
Solve for g
–0.3g + 2.86 = –7.41 − 8.2g
Answer:
g= -1.3
hope this helps
Answer:
g= -1.3
Step-by-step explanation:
Includes pics
Can someone please help
Answer:
b
Step-by-step explanation:
it might be wrong tho-
please help with my geometry & a step by step
Answer: 42.53
Step-by-step explanation:
iok so because we are give the two sides 19 and 14 from here we need to determine what they are concidered. 19 is on the hypotenuse, and 14 is on the adjacent. from this, we can use Soh cah toa, we are looking for h and a which gives us cah which is cosine, now we imput this into our calculator
Cos-1(14/19) this should then give you 42.53 :) hope this helps
What is the solution set for x > -1
Answer:
Whole number set
Step-by-step explanation:
x > -1 means grater than (-1)
x = {0 ,1,2,3 ......}