Answer:
CENTER :(2,-6)
RADIUS: 6
FOLLOW ME❤️✨FOR M0RE QUESTION
THAT YOU WHAT ME TO ANSWER
Step-by-step explanation:
Hey there!
Given;
[tex] {x}^{2} + {y}^{2} - 4x + 12y = \: - 4[/tex]
Now, Try to make it a perfect square.
[tex] {x}^{2} - 4x + {(2)}^{2} - ( { 2)}^{2} + {y}^{2} + 12y + ( {6)}^{2} - ( {6)}^{2} = - 4 [/tex]
Make perfect square and shift -(2)^2 and -(6)^2 on right side.
[tex]( {x - 2)}^{2} ( {y + 6)}^{2} = - 4 + 40[/tex]
[tex]( {x - 2)}^{2} ( {y + 6)}^{2} = 36[/tex]
Comparing the equation with (x-h)^2(y-h)^2= r^2.
We get,
Centre (h,k)= (2,-6)
Radius (r) = 6
Hope it helps...
Arc and sector area question please help
Answer:
A. x = 14Step-by-step explanation:
Angle formed by intersecting chords half the sum of intercepted arc measures.Apply this to the given measures:
56 = 1/2(3x + 10 + 5x - 10)56 = 4xx = 56/4x = 14Correct choice is A
Enter the first 4 terms of the sequence defined by the given rule. Assume that the domain of each function is the set of whole numbers greater than 0.
[tex]f(n) =3 {n}^{2} + 1[/tex]
Given:
The rule for the sequence is
[tex]f(n)=3n^2+1[/tex]
Domain of the function is the set of whole numbers greater than 0.
To find:
The first 4 terms of the sequence defined by the given rule.
Solution:
We have,
[tex]f(n)=3n^2+1[/tex]
Domain of the function is the set of whole numbers greater than 0. So, domain for first four terms are 1, 2, 3 and 4 respectively.
For n=1,
[tex]f(1)=3(1)^2+1[/tex]
[tex]f(1)=3(1)+1[/tex]
[tex]f(1)=3+1[/tex]
[tex]f(1)=4[/tex]
For n=2,
[tex]f(2)=3(2)^2+1[/tex]
[tex]f(2)=3(4)+1[/tex]
[tex]f(2)=12+1[/tex]
[tex]f(2)=13[/tex]
For n=3,
[tex]f(3)=3(3)^2+1[/tex]
[tex]f(3)=3(9)+1[/tex]
[tex]f(3)=27+1[/tex]
[tex]f(3)=28[/tex]
For n=4,
[tex]f(4)=3(4)^2+1[/tex]
[tex]f(4)=3(16)+1[/tex]
[tex]f(4)=48+1[/tex]
[tex]f(4)=49[/tex]
Therefore, the first 4 terms of the sequence defined by the given rule are 4, 13, 28 and 49 respectively.
You spend 15 minutes . You then spend two hours reading email. Write the ratio of the amount of time spent watching television to the amount of time spent reading email as a fraction in simplest form.
Answer:
1:8
Step-by-step explanation:
The ratio for watching tv, to reading email is 15:120 (because two hours equals 120 min.).I then divided both sides by three to get 5:40. I then divided that ratio by 5 to get 1:8, which is the simplest form.
Represent 0.7 pictorially
Refer to the attachment .
Help with equation please
9514 1404 393
Answer:
x = 120/17
Step-by-step explanation:
In this arrangement of right triangles, each is similar to any other. Then the ratio (long side)/(hypotenuse) is the same for all.
long side/hypotenuse = BD/BA = CB/CA
x/8 = 15/17
x = 8(15/17)
x = 120/17
plz help me will br
PLEASE HELP WITH THIS
Answer:
B
Step-by-step explanation:
The question can be written is
5^x = 75
Now take the log of both sides.
log(5x) = log(75) Bring the x outside the brackets
x log(5) = log(75) Divide by log 5
x = log(75)/log(5)
log 75 = 1.8751
log 5 = .8990
x = 1.8751/.8990 = 2.6826
Answer:
(b) 2.68
Step-by-step explanation:
Your question has a link to a suitable calculator. All you need to do is make use of it. It tells you log₅(75) ≈ 2.68.
__
Other ways to look at the problem
If you recall that a logarithm represents an exponent of the base, you can ask yourself, what power 5 must be raised to in order to get 75. You know that 5^2 = 25, and 5^3 = 125, so the power will have to be between 2 and 3. There is only one answer choice in that range: 2.68.
__
The rules of logarithms let you rewrite the given expression as ...
log₅(75) = log₅(3×5²) = log₅(3) +2·log₅(5) = log₅(3) +2
The log₅ of any number between 1 and 5 will be a positive fraction, so this sum must be between 2 and 3.
Type the correct answer in the box.
x
The value of log,5
10828 15
Answer:
190.3
Step-by-step explanation:
190.3 I multiplied sorry if incorrect
Subtract.
6/12 - 3/10
Answer:
1/5
Step-by-step explanation:
yeah
Answer:
0.2
Step-by-step explanation:
A collector has 50 movie posters and 40 band posters. She wants to sell 25 movie
posters but still have her poster collection maintain the same ratio of 50:40. If she
sells 25 movie posters, how many band posters should she sell? Complete the
explanation to find out how many band posters she should sell.
I WILL GIVE BRAINLIEST IF YOU ANSWER CORRECTLY! I NEED THIS ASAP (15 POINTS)
Which expression is equivalent to this polynomial? x2 + 8
Answer:
D
Step-by-step explanation:
got it right on plato
17. Mia has 4 inches of red yard and 2 inches of blue yarn. How many inches of yarn does she
have?
Answer:
6 inches
Step-by-step explanation:
Given:
length of red yarn = 4 inlength of blue yarn = 2 inTo find the total amount of yarn Mia has, add the two lengths together:
total yarn = red yarn + blue yard
= 4 in + 2 in
= 6 in
HELP PLZZZ. In an indirect proof, you prove an if- then statement is true by assuming the statement is false then disproving the false statement. You want to prove the statement below in an indirect proof. What statement should you prove false.
Statement to prove true: if a figure has exactly three sides,then it is a triangle.
Statment to prove false:???
Answer:
If a figure is a triangle, then it has three sides.
Step-by-step explanation:
You just flip the if then statement around.
if three apples cost 45 rupees how much with 5 apples cost?
if 3 apples cost 45 rupees
1 apple costs 45 : 3 = 15 rupees
how much with 5 apples cost?
5 x 15 = 75 rupees
Answer:
75 rupees
Step-by-step explanation:
Given:
3 apples cost 45 rupees
To Find:
How much with 5 apples cost
Solve:
if 3 apples cost 45 rupees
Since 3 apple cost 45
Thus, Find the cost of 1.
45 ÷ 3 = 15 rupees
Now,
5 x 15 = 75
Thus, 5 apples cost 75 rupees.
~Learn with Lenvy~
What is the rate of change of the function whose graph is a line passing through (3, 5) and (−1, 5)?
9514 1404 393
Answer:
zero
Step-by-step explanation:
The y-coordinates of the two points are the same, so the line through them is a horizontal line. There is no vertical change for any amount of horizontal change. The "rate of change" is 0.
Thom’s restaurant bill is $45 and he leaves a 20 percent tip. What is the total cost for Thom’s meal?
$20
$54
$65
$90
Answer:
$54
Step-by-step explanation:
[tex]\frac{x}{45} = \frac{20}{100}[/tex]
To get x which is the 20% tip
1. 45×20 = 900
2. 900÷100=9
3. 9 is the tip
To get the total cost, you would have to add $9 to $45 which is $54.
PLEASE HELP!!!! A boat can travel at an average speed of 10 miles per hour in still water. Traveling with the current, it can travel 6 miles in the same amount of time it takes to travel 4 miles upstream.
Answer:
2 mphStep-by-step explanation:
Let the speed of current be x
Speed of the boat in same direction as current is
10 + xSpeed against the current is
10 - xBased on the given we get the equation for time
6/(10 + x) = 4/(10 - x)Solving for x
6(10 - x) = 4(10 + x)60 - 6x = 40 + 4x6x + 4x = 60 - 4010x = 20x = 2The answer is 2 mph
Answer:
6/(10-x) = 4/(10+x)
Question 1
25 pts
Identify the applications that involve percentages. SELECT ALL THAT APPLY.
Sales Tax
Retirement
Income
Original Sale Price
Loans
Commission
Income Tax
The applications that will involve percentages include:
Sales TaxOriginal Sale PriceCommissionIncome TaxWhich applications involve percentages?Sales tax will involve percentage because the sales tax percentage will be needed to calculate the sales tax. The same goes for the income tax.
Commissions also involve percentages as the commission is a percentage of sales. The original sales price can only be acquired by using the discount or markup percentage applied to it to get the current sales price.
Find out examples of commission percentages at https://brainly.com/question/24951536.
9325 cm is equal to how many meters?
Answer:
93.25
Step-by-step explanation:
One meter = 100 cm
9300 divided by 100 = 93 + 0.25 = 93.25
The conversion of the given measurement of 9325 cm to meters is gotten as; 93.25 meters
How to convert Centimeter to meter?There are different units in mathematics to convert. However, in this case, we want to convert centimeters to meters.
Now, the conversion rate here is;
100cm = 1m
Thus, to convert 9325 cm to meters we will just divide it by 100.
Thus;
9325 cm = 9325/100 = 93.25 meters
Read more about unit conversion at; https://brainly.com/question/6560055
Vivian surveyed bicyclists in her community to see the average number of miles they biked per day. Her results are shown below.
7, 10, 13, 4, 12, 21, 10, 3
What is the MAD of her data set? What does this tell you about the number of miles biked each day by the bicyclists?
Step-by-step explanation:
4
data-mean/total =4
Find the value of xxx, yyy, and zzz in the parallelogram below.
Answer:
Step-by-step explanation:
Opposite sides of a parallelogram are congruent, so:
[tex]8x+3=19 \longrightarrow x=2[/tex]
[tex]27=-y-5 \longrightarrow y=-32[/tex]
if you have a favorite subject in school what is it
Answer:
My favorite subject in school is ELA because I love to read. Please don't judge I am not a nerd. I just like a good book every once and a while.
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
_____________Gym_______________
An artist makes a scale drawing of a parallelogram-shaped sculpture. The scale is 10 cm on the drawing for every 8 meters on the sculpture. What is the area of the scale drawing? Show your work.
Answer:
10 × 8
=80
therefore it takes 80 metre area
What is the reasoning for number 4?
Answer:
Side-Angle-Side (ASA) Congruence Postulate
or
Side-Side-Side (SAS) Congruence Postulate
Step-by-step explanation:
Side MU is congruent to side SE and MS is congruent to side UE (Also stated in 2.). And Angle MSE is congruent to angle MUE and Angle SMU is congruent to angle SEU. (As said in 3.)
Take a look at the image. You could use the SAS postulate or the SSS congruence postulate, both of them are correct and will lead you to the correct answer.
Lmk if you need help on the rest
Please remmeber to mark brainliest!
what is the slope intercept equation of this line
Answer:
B
Step-by-step explanation:
One approach is to plug (2, -2) to every function and only B will work.
Choice A) y = 3x + 4
-2 = 3(2) + 4
-2 = 10
Does not work
Choice B) y = -3x + 4
-2 = -3(2) + 4
-2 = -2
Works
Choice C) y = -1/3x + 4
-2 = -1/3(2) + 4
-2 = -2/3 + 4
-2 = -2/3 + 12/3
-2 = 10/3
Does not work
Choice A) y = 4x - 3
-2 = 4(2) - 3
-2 = 5
Does not work
You can also just take a look at the function and see that its slope is downwards so it has to be negative. Then check the slope using rise/run.
For every 1 to the right it goes down 3, so -3/1 = -3. The only function with a slope of -3 is answer choice B.
The perimeter of a trianglular pool is 36
yards the length of two sides or 10 yards and 15 yards how long is the third side
Answer:
11 yard
Step-by-step explanation:
Let the 3rd side be 'a'.
Perimeter = 36
=> sum of sides = 36
=> 10 + 15 + a = 36
=> 25 + a = 36
=> a = 36 - 25
=> a = 11
m TMN = x + 72, m LMN = 166°, and m LMT = 96 + x. Find m LMT. what is the answer to this? ill make you the brainly
Answer: LMT=95
Step-by-step explanation:
combine both problems to equal 166
x+x+72+96=166
Combine like terms
2x+168=166
Subtract 168 from 166
2x=168-166
Divide
X=-2/2
X=-1
Plug in -1 for x
96-1=95
72-1=71
71+95=166
LMT=95
Vertical angles measure (x-28) degrees and (0.5x-13) degrees. What is the value of x?
Answer:
x = -30
Step-by-step explanation:
Ok remember this because its important vertical angles means the two angles are congruent and congruent means when two things are the same
if those two angles are vertical angles what does that mean?
They both equal each other because they are the CONGRUENT!
x-28 = 0.5x -13
combine like terms so add 28 to both sides
x = 0.5x + 15
then subtract - 0.5x on both sides
- 0.5x = 15
then get x by itself by dividing - 0.5 on both sides
x = -30
The function f is defined by f(x)= - 1/2x^2
Write down the expression for h(x).
Answer: -1/2 (x-4)^2 + 3
Step-by-step explanation:
Since the graphs both have the same stretch of -1/2x^2, you just need to see how much they were shifted up, down, left, or right. h(x) is shifted up 3 and right 4 of f(x) so h(x) = -1/2 (x-4)^2 + 3
Answer:
[tex]h(x)=-\dfrac12(x-4)^2+3[/tex]
Step-by-step explanation:
Given:
[tex]f(x)= - \dfrac12x^2[/tex]
From inspection of the graph, [tex]f(x)[/tex] has been translated 4 units to the right and 3 units up.
Therefore, [tex]h(x)=f(x-4)+3[/tex]
[tex]\implies h(x)=-\dfrac12(x-4)^2+3[/tex]