Answer:
D
Step-by-step explanation:
We have the equation:
[tex]x^2+y^2+12x-10y-7=0[/tex]
And we would like to convert this to an equation for a circle.
This will require completing the square. Thus, let’s factor group our factors. We will also move the constant to the right. Therefore:
[tex](x^2+12x)+(y^2-10y)=7[/tex]
To complete the square, we divide the b term by 2, square it, and then add the resulting constant to both sides.
Therefore, for the first term, we will have 12/2. 12/2 is 6. 6 squared is 36.
Hence, we would add 36 to both sides.
For the second term, we have -10/2. -10/2 is 5. 5 squared is 25. Hence, we would add 25 to both sides.
This yields:
[tex](x^2+12x+36)+(y^2-10y+25)=7+36+25[/tex]
We can now factor the two terms using the perfect square trinomial pattern. We will also add on the right. Hence, our equation is:
[tex](x+6)^2+(y-5)^2=68[/tex]
Therefore, our answer is D.
So yeah this is easy but my brain cell are not working proproly so....
Can you help me find H Plz be fast grades are due tonight
(Answer Only)
Answer:
-12
Step-by-step explanation:
h/6 -1 = -3
h - 6 = - 18
h = -18 + 6
h = -12
Answer:
h= -12
Step-by-step explanation:
-12/6= -2
-2- 1 = -3
-3= -3
*PLEASE ANSWER, I DON"T GET IT*
Which compound inequalitiy represents the inequality |y – 3| − 4 ≤ −3?
a.) −1 ≤ y – 3 OR y – 3 ≤ 1
b.) y – 3 ≤ −1 AND y – 3 ≥ 1
c.) −1 ≤ y – 3 AND y – 3 ≤ 1
d.) y – 3 ≤ −1 OR y – 3 ≥ 1
The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.
The given inequality is |y – 3| − 4 ≤ −3.
What is compound inequality?A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements. “Or” indicates that, as long as either statement is true, the entire compound sentence is true. It is the combination or union of the solution sets for the individual statements.
Now, solve inequality |y – 3| − 4 ≤ −3.
Add 4 on both sides of the inequality.
That is, |y – 3| − 4+4 ≤ −3+4
y-3≤1 OR -1≤y-3
The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.
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Please help me on this question. First to answer will be the brainliest :D
Solve for t.
6t - 7 = 7t
Answer:
t=−7
Step-by-step explanation:
FIRST
The 2018 Current Population Survey (CPS) estimates that 19.7% of Mississippians live in poverty, which makes Mississippi the state with the highest poverty rate in the United States. If we take a random sample of 250 Mississippians, what is the probability that at least 25% of them live in poverty?
Answer: 0.0265
Step-by-step explanation:
Given: The proportion of Mississippians live in poverty, which makes Mississippi the state with the highest poverty rate in the United States. : p = 19.7% = 0.197
Sample size : n= 250
The probability that at least 25% of them live in poverty will be
[tex]P(\hat{p}\geq0.25)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\geq\dfrac{0.25-0.197}{\sqrt{\dfrac{0.25\times0.75}{250}}})\\\\=P(Z>\geq1.9353)\\\\=1-P(Z<1.935)\\\\=1-0.9735\ \ \ \ [\text{By p-value table}]\\\\=0.0265[/tex]
Hence, the required probability = 0.0265
PLEASE HELP!!! BRAINLIEST FOR FIRST
Find the length of k ____
Answer:
K=3
Step-by-step explanation:
I think so, if I’m wrong I’m sorry
Answer:
Step-by-step explanation:
[tex]\frac{9}{12}[/tex] = [tex]\frac{k}{k+4}[/tex]
12k = 9(k + 4)
12k - 9k = 36
3k = 36
k = 12
. The circumference of Earth’s moon is about 1,091,500,000 cm. Write this number in scientific notation. *
1.0915 x 10{9} <----Exponet
Which is one characteristic of hurricanes?
occur mostly inland
create widespread damage
last for a short amount of time
gain strength after passing over land
Answer:
b
Step-by-step explanation:
Answer: B. Create widespread damage.
Step-by-step explanation: On Edge!!!!!!!!!!!
At the kennel, the ratio of cats to dogs is 4:5. There are 27 animals in all.
1. What is the value of each small rectangle?
2. How many dogs are at the kennel?
3. How many cats are at the kennel?
Please answer this ASAP!!! I will make you Brainliest!
Answer:
I don't know how to answer the first question
There are 15 dogs in the kennel
There are 12 cats in the kennel
Explanation:
If there is a 4 to 5 ratio then
12 cats to 15 dogs is linear
Name the property of equality that the statement illustrates.
If AB = CD and CD = 5, then AB = 5.
i need help asap thank you !
Answer:
I think it's symmetric. I could be wrong, but its been 2 weeks since you posted this so if you have the correct answer can you tell me it please! :)
Step-by-step explanation:
Ava takes 4 breaths every 10 seconds during yoga. At this rate, how many breaths would Ava take in two minutes? *
Answer:
48
Step-by-step explanation:
It's given that Ava takes 4 breaths every 10 seconds.
4 breaths : 10 seconds. ...(1)
To solve this, first we need to calculate how many seconds there are in two minutes.
As 60 seconds make up one minute, 120 seconds make up two.
Now, to solve for the number of breaths (x), we just multiply (1) by 12. We do this so that we get 120 seconds on the right side, so the left side will give us the answer we need.
4 × 12 breaths : 10 × 12 seconds
48 breaths : 120 seconds.
So, the final answer would be 48 breaths.
Hope this helps! :D
PLEASE HELP
Determine which lines are parallel if any:
Line a passes through (-1, 1) and (1,3)
Line b passes through (3,4) and (0,2)
Line c passes through (0,1) and (3,3) *
line a and b
line b and c
line a and c
none are parallel
Answer:
b and c
Step-by-step explanation:
both slopes are 2/3
Please answer with two answers!
Answer:
C. Roanoke, Alexandria, Norfolk
Step-by-step explanation:
Lets expand all of the numbers
Alexandria 136,000
Norfolk 229,000
Roanoke 91,500
Using these number we can easily see that the order is "Roanoke, Alexandria, Norfolk"
I don't understand when you say "Please answer with two answers!" because only one answer is correct
In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? Write an inequality.
Answer:16
Step-by-step explanation:if he scores 2 goals a game then all you have to do is minus 60 from 92 and divide it by two
92-60= 32goals needed
32/ 2 goals a game = 16 games
solve for y:
6=2(y+2)
simplify the expression using properties of operation -8(1 +x) + 7x
Answer:
- x - 8
Step-by-step explanation:
Step 1:
- 8 ( 1 + x ) + 7x Equation
Step 2:
- 8 - 8x + 7x Multiply
Step 3:
- 8 - x Combine Like Terms
Answer:
- x - 8
Hope This Helps :)
can you put the negitive first then the positive please this is 22 points
Answer:
The answer should be ( D, J)
Step-by-step explanation:
I think this is right. this is from my understanding of the problem
if you have 30 N force going left and a 10 N force going right, what is the force
Answer:
20 N
Step-by-step explanation:
Since, both the forces are acting in opposite directions.
Therefore,
[tex]Net \: Force = 30 \: N - 10 \: N \\ \\ = 20 \: N [/tex]
Answer:
20N
Step-by-step explanation:If you take the direction that the 30N force is acting in as positive, then since the 10N force acts in the opposite direction, the Net (resultant) force on the object is 20N. If the numbers were flipped, it would be -20N.
The first angle in a triangle is three times at the seconed angle.The seconed angle is two times that of the third angle. Finde the ratio of the angils
pleases help im soo stuck its middle school
Simplify the ratio. 13−42−(−1) =
Answer:
-28
Step-by-step explanation:
4/10 times (7/8+9/4) 5/7
Answer: simplified down to 25/28 or 0.89 / / 0.9 rounded up
What is the slope of the line that passes through the points (4,-9) and (8, -3)?
Answer:
3/2
Step-by-step explanation:
To find the slope of a line you can use the equation y2-y1/x2-x1
So, -3+9/8-4
6/4=3/2
Step-by-step explanation:
m= y²-y¹/x²-x¹
=(-3)-(-9)/8-4
=6/4
=3/2 or1.5
whats the slope of
(0,1)& (4,-19) helpppp
Answer:
-5
Step-by-step explanation:
m = y2 - y1
x2 - x1
-19 - 1 = -20
4 - 0 = 4
-20/4 = -5
Answer:
The slope is -5x
Step-by-step explanation:
Use this formula [tex]\frac{y2-y1}{x2-x2}[/tex]
Now plug in your numbers.
[tex]\frac{-19 - 1}{4 - 0} \\\frac{-20}{4} \\[/tex]
-20 ÷ 4 = -5
Hope this helps ya!!
PLS HELP ME! I GOT THE ANSWER I JUST NEED TO SHOW THE WORK.
Solve for X.
Answer: 6
Answer: x = 6
=================================================
Work Shown:
According to the remote interior angle theorem, we can add the interior angles to get the exterior angle that is not adjacent to the interior angles.
So we'll add interior angles D = 6x+8 and E = 5x+8, and that sum leads to 82.
Let's solve for x
(6x+8)+(5x+8) = 82
11x+16 = 82
11x = 82-16 ....... subtracting 16 from both sides
11x = 66
x = 66/11 ...... dividing both sides by 11
x = 6
-----------------
A slightly longer method involves letting y be the missing interior angle of triangle DEC.
Then we can say D+E+C = (6x+8)+(5x+8)+y = 180. This is because the interior angles of any triangle always add to 180.
Furthermore, we also know y+82 = 180, since the angles y and 82 are a linear pair. Solving for y leads to y = 180-82 = 98
Plug this back into the first equation and solve for x
(6x+8)+(5x+8)+y = 180
(6x+8)+(5x+8)+98 = 180
(6x+8)+(5x+8)= 180-98
(6x+8)+(5x+8) = 82 .... note how this equation shows up again
The steps to solving are shown in the previous section.
Given that for all values of x,
f(x) = 3x + p
g(x) = px + 4
and fg(x) = 6x + 9
where p and q are constants.
Work out the values of p and q.
The value of p is 2.
The value of q is 14
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Two functions:
f(x) = 3x + p
g(x) = px + 4
Now,
f(g(x)) = 6x + 9
This means,
3(g(x)) + p = 6x + q
Substituting g(x) = px + 4.
3(px + 4) + p = 6x + q
3px + 12 + p = 6x + q
3px + (p - q) = 6x - 12
This means,
3p = 6
p = 2
p - q = -12
2 - q = -12
q = 2 + 12
q = 14
Thus,
p is 2 and q is 14.
Learn more about functions here:
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Overview
Question Progress
Homework Progress
4/8 Marks
a)
Here are the ingredients needed to make 8 pancakes.
b)
250 ml milk
1 egg
140 g flour
5g butter
a) Simon makes 4 pancakes.
Work out how much milk he needs.
b)
Craig makes 12 pancakes.
Work out how much butter he needs.
Answer:
125ml of milk and 7.5g of butter
Please help. The picture below explains the problem.
Answer:
If the line is gonna be perpendicular then the slope going to be the inverse opposite. therefore the slope of our new line will be 1/4
Now to find the y intercept follow these steps:
y=mx+b
y=1/4x+b
3=1/4(4)+b
3=1+b
b=2
Now that we have the y intercept (b) and the slope (m) we can make our equation.
y=1/4x+2
Step-by-step explanation:
The lengths of the sides of a triangle are 3, 3, . Can the triangle be a right triangle?
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
i just made a 100 on odw
To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for each hour of labor. a. How much would the painting company charge to paint a house that needs 20 hours of labor?
Answer:
For 20 hours it would be $1,500.
Step-by-step explanation:
The equation for this problem would be Y = 50x + 500.
Y is the total charge and x is the number of hours.
Hope this helps! Sorry if it was not what you were looking for!
Answer: 1500
Step-by-step explanation: 50x20=1,000 plus the addition price of the supplies 1,000+500= $1500
Simplify:
a) 3y - y
b) 69 + 4 - 9 +5
Answer:
a) 2y
b) 69
Step-by-step explanation:
A swim team has 31 swimmers. The total practice time for the team is 22,320 hours each season How many hours per season does each swimmer practice?
Answer:
720
Step-by-step explanation:
22,320 divided by 31 is 720
Answer:
3 hours a day
Step-by-step explanation:
22,320-31-31-31-31-31-31-31-31-31-31-31 and way more