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.
The length of adult King Cobra snakes is normally distributed with µ = 18 feet and σ = 2.1 feet. What is the probability that a randomly selected adult King Cobra snake be over 15.9 feet long? 85.54% 79.08% 15.87% 84.13%
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
Step-by-step explanation:
The computation of the probability is shown below":
P(x>15.9) is
[tex]= P (\frac{x - \mu}{\sigma} > \frac{15.9 - 18}{2.1} )\\\\= P (z>-1)\\\\= 0.8413\\\\= 84.13\%[/tex]
Hence, the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
We simply applied the above formula
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long which is 84.13%
Step-by-Step Explanation:
P(X 15.9). Solve for the z-score and then match it with the probability from the area under the normal curve table. Once that is found, take the complement or use symmetry to solve
Note:
Hope this helps you in the future.
Learn More:
https://brainly.com/question/6305087?referrer=searchResults
Please help me question is in the picture
Answer:
1. Down
2. 9 units down
3. Left
4. 5 units left
Dan is ordering boxes of chocolate from a web site. Each box costs $15. Shipping costs $5 for any order. Dan wants to spend no more than $145. Create an inequality.
Answer:
15x + 5 = (equal to) 145
or
15x + 5 < (less than) 145
Step-by-step explanation:
x = how many boxes of chocolate Dan gets in total
.
Find the y-intercept of y - x = 7.
Identify a, h, and k for the equation
A right triangle has one leg of length y and hypotenuse of length x. What is the length of the other leg of this triangle
a x+y−−−−√
b x2+y2−−−−−−√
c x−y−−−−√
d x2−y2−−−−−−√
Answer:
Step-by-step explanation:
Solve for X
Solve for X
Solve for X
Answer: it is 4
Step-by-step explanation:
Answer:
Opposite sides of the parallelogram are congruent
[tex]3x+4=16[/tex][tex]3x=16-4[/tex][tex]3x=12[/tex][tex]x=12/3[/tex][tex]x=4[/tex]------------------------hope it helps...have a great day!!URGET: Inscribed Angles
Find the measure of angle R.
Answer:
∠ R = 50°
Step-by-step explanation:
The inscribed angle R is half the measure of its intercepted arc QS
QS = 360° - (120 + 140)° = 360° - 260° = 100° , then
∠ R = 0.5 × 100° = 50°
hi please answer this xoxo will mark brainliest
since isosceles has 2 sides that are equal then,
270 - 108 = 162
divide 162 by 2
162 ÷ 2 = 81
so, C
Answer:
A.)
Step-by-step explanation:
108 + 100 + 62 = 270
Cual es la fuerza de 225n y 165n
Answer: 225 N + 165 N = 3.90×10.
PLEASE HELP QUICK ILL GIVE YOU BRAINLIEST IF ITS RIGHT!!!
Answer: 5 x 2 1/2 x 1 1/2
Step-by-step explanation: To figure it out you have to use the fromula for volume, V= W x L x H.
Hope that helps :)
find the real zeros of k(x)= x^3 - 2x^2 +2x -4
Answer: k=x^3-2x^2+2x-4/x
Step-by-step explanation: hope this helps!
Anne solved 5(2x−3)=20x+15 for x by first multiplying 5 and 2x on the left side of the equation. She got the answer x = −95. When she substituted −9/5 into the original equation her answer was incorrect. Explain Anne’s error, and find the correct answer.
Answer: x=-3
Step-by-step explanation:
Anne's error is that she only multiplies 5 and 2x on the left side, she needs to multiply 5 and 2x, and also that she needs to multiply 5 and -3.
5(2x−3)=20x+15
5(2x) + 5(-3) = 20x + 15
10x - 15 = 20x + 15
-10x - 15 = 15
-10x = 30
x = -3
Raquel builds a model train that has 4 equal-sized rail cars. Each rail car has a passenger section and a cargo section. The cargo section for each rail car is 4 inches long. The total length of the model train is 48 inches. What is the length of the passenger section in each rail car?
Answer:8
Step-by-step explanation:
48/4 = 12
12-4 = 8
A cube has a volume of 64. What is the side length of one side
#15
Answer:
4
Step-by-step explanation:
volume is equal to a x a x a
This means that [tex]a^{3}[/tex] = V
Therefore, a = cube root of V, which is 4
cosec 45^0
= ______ .
Answer:
cosec45° = [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the identity
cosec x = [tex]\frac{1}{sinx}[/tex] and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]
Then
cosec45° = [tex]\frac{1}{\frac{1}{\sqrt{2} } }[/tex] = [tex]\sqrt{2}[/tex]
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x. in dollars, being sold by the
company:
Part A: What do the x-intercepts and maximum value of the graph represent?
Part B: What are the intervals
where the function is increasing and decreasing, and what do they represent about the sale and
profit?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?
Answer:
What do the x-intercepts and maximum value of the graph represent? The x-intercepts represent the points at the ground, so with that you have the width of the tunnel at ground level is 120 ft - 0 ft = 120
Step-by-step explanation:
A circular swimming pool has a radius of 20 feet. A fence is going to be built so that there is a 4-foot space around the entire pool. What is the length of the fence? Sunitha solved the problem as shown. A circle with radius 20 feet. A larger circle is 4 feet larger than the smaller circle. Radius = 24 feet. Circumference = 24 pi. What was her error? She should have used 12 in the formula, not 24. She forgot to multiply the radius by 2 in the formula. She did not add the additional fence length to the pool’s radius. She should have used 4 ft in the formula.
Answer:
she forgot to multiply the radius by 2 in the formula (B)
Step-by-step explanation:
i got it right :)
Answer:
B.
Step-by-step explanation:
If i have 172 centimetres of ribbon to decorate a gift basket. How many more centimetres of ribbon would i need to make 3 metres
The circle graph below shows the results of a survey about the number of TV's in a household. If you surveyed 250 households, how many would you predict to have 3 TV's?
Answer: answer
Step-by-step explanation: joe nuts
$1,000 at 7.5% for 30 months
Step-by-step explanation:
principal=1000
rate=7.5
time=30 moths
interest= principal multiplied to rate multiplied to time by 100
which give 100multiplied to 7.t multiplied to 30 by 10p
which gives 22500by 100
which gives 225
amount= interest plus principal
= 225+1000
=1225
FIND THE AREA OF THE SHAPE *
30 POINTS!!
Answer:
34 cm²Step-by-step explanation:
Area of trapezoid formula:
A = 1/2(b1 + b2)hSubstitute values and find the area:
A = 1/2(5 + 12)*4 = 34 cm²Answer:
34
Step-by-step explanation:
Given the trapezoid formula:
1/2(b1+b2) x h
The first step is to find the bases and height.
1/2(12+5) x 4
The second step is to do what is in the parentheses.
12+5=17
The third step is to divide 17 and 2.
17÷2=8.5
The last step is to Multiply 8.5 and 4.
8.5 x 4 = 34
So your answer is 34 centimeters.
A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. The total includes the cost of each sub, plus the delivery fee.
Answer:
cost of each sub = $6, delivery fee = $2
Step-by-step explanation:
Let $x be the cost of each sub and $c be the delivery fee
3x + c = 20
4x + c = 26
x = 6, c = 2
what is the vertex of the quadratic function below y=1/2 x^2 +x+3
Answer: the vertex is 1,7/2
Step-by-step explanation: this is the answer because first you label the first one a the second one b and the last one c then if you find the axis of symmetry by doing [tex]\frac{-b}{2(a)\\}[/tex] you will have your x for the vertex then plug in your x into the equation where ever there is a x tat where you plug it in then you will have the right answer... I hoped this help
[tex]y= 82(1.045)[/tex]What is the rate of growth Michael expects each week after launching the website?
y=82(1.045)
Answer: pls help with the answer this is hard
Step-by-step explanation: i really need help!!!
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show
your work.
Answer:
A= 94°, B = 102°, C = 86°, D = 78°Step-by-step explanation:
ABCD is a cyclic quadrilateral
It has the property that opposite angles are supplementary: A with C and B with D.
Solve following for x:
x + 6 + x - 2 = 180°2x + 4 = 180°2x = 176°x = 88°The angles are:
A = 88° + 6° = 94°C = 180° - 94° = 86°D = 88° - 10° = 78°B = 180° - 78° = 102°What is the sum of the degree measures of the complement and the supplement of a 16° angle?
Answer:
270?
Step-by-step explanation:
180 + 90 = 270
La suma de dos números enteros que tienen signos diferentes es:
Answer:
Hhhhhhhhnnnnnnnnnn
Step-by-step explanation:
Bbb
The table below shows the account value of each of Dmitri's three bank accounts
Dank account
Account value
Savings
8573.73
Retirement
8204.43
Checking
-$435.24
Help Dmitri sort his accounts from lowest to highest absolute value of account value. Click and drag to sort the
tiles
Checking
Retirement
Savings
Answer:
there could be more than one answer...
Step-by-step explanation:
Answer:
Retirement Checking Savings
Step-by-step explanation:
in that order(khan said so)
Frodo goes to New Army and buys two pairs of jeans for $19.99 each, 3 shirts at $7.99 each, and a pack of socks for $5. He has a
coupon for 25% off his entire purchase. Sales tax is 7 %. What is the total cost after the discount and tax? $
109points plsss helpppppp now
Answer:
lol i answered on another 1 of ur things