Answer:
x2 + (y + 8)2 = 36
Step-by-step explanation:
:) took the test
The equations which represent circles that have a diameter of 12 units and a center that lies on the y-axis are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.
What is the Standard form of a Circle?Standard form of a circle is given by the equation,
(x - h)² + (y - k)² = r²
where, (h, k) is the center of the circle and r is the radius of the circle.
Given that,
A circle has a diameter of 12 units.
So radius = 12 / 2 = 6 units
Center of the circle lies on the Y axis.
So the x coordinate of the center of the circle will be 0.
So, in (h, k), h = 0
So the equation will be of the form,
(x - 0)² + (y - k)² = 6²
x² + (y - k)² = 36
Hence the options are x² + (y – 3)² = 36 and x² + (y + 8)² = 36.
Learn more about Equations of Circles here :
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kira's penny bank is 1/6 full. after she adds 200 pennies, it is 1/2 full. how many pennies can kiras bank hold?
Let it be x
ATQ
[tex]\\ \sf\longmapsto \dfrac{x}{6}+200=\dfrac{x}{2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{2}-\dfrac{x}{6}=200[/tex]
[tex]\\ \sf\longmapsto \dfrac{3x-x}{6}=200[/tex]
[tex]\\ \sf\longmapsto 2x=1200[/tex]
[tex]\\ \sf\longmapsto x=600[/tex]
what is 47- 24 (x+3)x
There are
r red marbles and g green marbles in a bag. When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3 .
Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4.
What is the ratio of r to g? Your ratio must be in its simplest form.
The ratio of red marbles to green marbles, [tex]r:g=5:7[/tex]
The first sentence about what happens to the bag of marbles;
"When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3"
Leads to the fractional equation
[tex]\frac{r-1}{g+1}=\frac{2}{3}[/tex]
After rearranging, we get equation (1) [tex]3r-2g=5[/tex]
The next sentence about what happens to the bag of marbles;
"Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4"
Leads to the fractional equation
[tex]\frac{r-1+6}{g+1+4}=\frac{3}{4}\implies \frac{r+5}{g+5}=\frac{3}{4}[/tex]
Since the first change to the bag was done without replacement. After rearranging, we get equation (2) [tex]4r-3g=-5[/tex]
So we need to solve the simultaneous equations for [tex]r[/tex] and [tex]g[/tex]
[tex]3r-2g=5\\4r-3g=-5[/tex]
Which gives [tex]r=25[/tex] and [tex]g=35[/tex]
Therefore, the ratio, [tex]r:g=25:35=5:7[/tex]
Another example of ratio word problems can be found in the link below:
https://brainly.com/question/11343888
A theater always sets the price of a seat on the lower level, a, as $5 more than the price of a seat in the balcony, b. This situation is represented by the function a = 5 + b.
Answer:
I took the test
Step-by-step explanation:
PLS HURRY WILL MARK BRAINLIEST
-x+7=11-2x
Answer:
x = 4
Step-by-step explanation:
First we will subtract 7 from 11 to get
-x = 4 - 2x, next we will add 2x to -x to get
x = 4.
(It's just a matter of combining like terms.)
Hope this helps :)
Help. What is 90% decreased by 10% :/
Is it 81?
solve pls brainliest
Answer:0.16 bar ontop of 6
Step-by-step explanation:
Answer:
0.166
Step-by-step explanation:
I did this about 2 years ago
mean: 7.3
median: 7.1
standard deviation: 1.1
Q1: 6.8
Q3: 7.4
when a tenth time is added to the list, the standard deviation increases to 1.5. is the tenth time likely an outlier
Answer:
Yes it is an outlier
Step-by-step explanation:
Main St. Fair thinks your wheel is broken – the 3 outcomes (Big, Small, and No prize) are not coming out exactly equal. Your wheel maker says that’s normal – the numbers should be close to each other but probably not exactly equal. Who do you think is right? Explain.
Answer:
Step-by-step explanation:
You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon for the blue car?
Help pls
Brainlist
a hiking trail marks every 1/4 of mile along the path if the trail is 22 miles how many markers will the trail have?
Answer:
88 markers long just take 22 and divide it by .25
what is the midpoint of PQ
Answer is (5,7)
Step-by-step explanation:
In the given image, move two points from P to right and move two points left from Q, in such a way that the gap between the two squares of P and Q are equal.
Then from the middle point of the line, mark down to the X-axis where you will get 5. Likewise, from the middle point, mark left to the Y-axis.
Any doubts, please refer the attached image.
So, you will get the answer as (5,7) .
Round 18.527 to the nearest tenth.
Answer:18.53
Step-by-step explanation:
7 rounding up will end up to three
Answer:
18.5
Step-by-step explanation:
What is median number.
A bag contains 10 white golds balls and 6 stripped golf balls. A golfer wants to add 112 golfs balls to the bag. He wants the ratio of white to striped golf balls to remain the same. How many of each should he add?
Step-by-step explanation:
10+6 = 16
since 112/16 = 7
add 7*10 white and 7*6 striped
Answer:
Alright, solve 10 + 6 = 16
Place a proportion of 10 / 16 and 6 / 16
Multiply 10 and 112, and 6 and 112, and divide both by 16
This will get you 70 / 42
70 / 42 = 10 / 6
70 * 6 = 420, 42 * 10 = 420
420 = 420
70 white golf balls, and 42 striped.
Step-by-step explanation:
Im sorry for lagging man :( i hope that helps
BRAINLIEST
Can I get some help on this assignments it’d take a lot of stress away from me
Answer:
Question=Q
Q2=18.9
Q3=26.7
Q4=24.8
Q5=35.6
Here are some answers
Remember if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)
if leg b is unknown, then. b = √(c² - a²)
for hypotenuse c missing, the formula is. c = √(a² + b²)
Have a wonderful day!
En la siguiente figura, determinar el valor de x.
2x
х 3x
Step-by-step explanation:
we know,
sum of all angles on a straight line is 180°.
so according to it,
x + 2x + 3x = 180
6x = 180
x = 180/6 = 30
x = 30°
therefore, value of x is 30°.
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Answer:
See below, please.
Step-by-step explanation:
x+2x+3x=180
So, 6x=180
x=30
Breanna thought of a number, divided it by 5, and then added 7 to her answer. She got a final number of 11. What was her starting number?
Answer:
the answer is 20
Step-by-step explanation:
got it yw man<333333
help me with this please
Answer:
12
Step-by-step explanation:
[tex]1/3(3)(12)[/tex]
The 1/3 and 3 cancel and you are left with
[tex]12[/tex]
12y=360 solve for y
Answer:
30
Step-by-step explanation:
divide both sides by 12 to find y
12y / 12 = y
360 / 12 = 30
therefore y = 30
Which would be the most appropriate way to estimate -6.1(0.22)? Check all that apply.
Use rounding to get -6(0.2), and then multiply.
Use compatible numbers, such as -6(0.5), and then multiply.
Use the benchmark numbers -6 and 1, and then multiply.
Use front-end estimation to get -6(0.2), and then multiply.
Round the factors to the nearest whole number, and then multiply.
Answers to choose Please help me.
Use rounding to get -6(0.2), and then multiply.
Use compatible numbers, such as -6(0.5), and then multiply.
Use front-end estimation to get -6(0.2), and then multiply.
Estimate -6.1(0.22)
Answer:
Use rounding to get -6(0.2), and then multiply.
Use front-end estimation to get -6(0.2), and then multiply.
Round the factors to the nearest whole number, and then multiply.
Step-by-step explanation:
Actual answer:
-6.1(0.22) = -1.342
Estimate answer:
-6 (.2) = 1.2
Answer:
A B D
Step-by-step explanation:
Michaela and Aleah play on the same basketball team. In one game Michaela scored one fifth of the team's points and aleah scored one tenth's of the team's points. Together the scored a total of 42 points. How many points did the team score?
Question 2 1 pts Which statement best describes 1-14 1? Remember, absolute value is a number's distance from O, so the number will always be positive :) O The distance from -14 to 0 on a number line. The answer is 14. O The distance from 14 to O on a number line. The answer is -14. O The distance from -14 to 14 on a number line. The answer is 28. O The distance from 0 to 14 on a number line. The answer is -14. Question 3 1 pts
Answer:
(a) The distance from -14 to 0 on a number line. The answer is 14.
Step-by-step explanation:
If you put "-14" in the problem statement in place of the word "number," you will find it substantially matches the wording of answer choice A. |-14| means ...
The distance from -14 to 0 on a number line. The answer is 14.
3+14 multiplied by a number X
Answer:
x(3+14)
Step-by-step explanation:
That is how you would write that expression.
Which answer describes the transformation of g(x)=log2(x−2)+4 from the parent function f(x)=log2x ?
a.) It is the graph of f(x) shifted 2 units left and 4 units down.
b.) It is the graph of f(x) shifted 4 units right and 2 units up.
c.) It is the graph of f(x) shifted 4 units left and 2 units down.
d.) It is the graph of f(x) shifted 2 units right and 4 units up.
Option D
for the (x-2) we move to the right 2 and for the +4 we go up 4
The transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.
How to determine the transformation?The functions are given as:
Transformed function: g(x)=log(x−2)+4 Parent function f(x)=log(x)Translate the parent function 2 units right
This gives
f'(x) = log(x - 2)
Translate the function 4 units up
This gives
f''(x) = log(x - 2) + 4
So, we have:
g(x) = f"(x)
The above means that the transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.
Read more about function transformation at:
https://brainly.com/question/4025726
Enter an expression equivalent to (x^4 y^3 y)^2 in the form x^m y^n
Answer:
Step-by-step explanation:
HELP PLSSSSSSSS Solve 236 x 48 = ________. (1 point)
A. 11,328
B. 11,628
C. 12,328
D. 12,628
Answer:
[tex]236 \times 48 \\ \\ = 11328[/tex]
it's answe
236×48
= 11 , 328
Any help would be appreciated
Answer:
10
Step-by-step explanation:
Bisect the 72° angle to get an exterior angle of 36°.
The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.
360°/36° = 10
Answer: There are 10 sides.
PLEASE HELP!!!! Prove and state whether the functions below are inverse functions.
Answer:
Step-by-step explanation:
y = 5x - 2
5x = y + 2
x = [tex]\frac{y}{5}[/tex] + [tex]\frac{2}{5}[/tex]
y = [tex]\frac{x}{5}[/tex] + [tex]\frac{2}{5}[/tex] is inverse function of y = 5x - 2
5x - 2 and [tex]\frac{1}{5}[/tex] x + 2 are not inverse functions
Which is the correct equation to find the missing side?
Answer:
( AB )² + 12 = 162
Step-by-step explanation:
By Pythagoras theorem,
( AB )² + ( BC )² = ( AC )²
( AB )² + ( 2√3 )² = ( 9√2 )²
( AB )² + 12 = 162
Step-by-step explanation:
it's a right angled triangle so to find the measures of 3rd side we use hypotenuse formula which is,
h² = a² + b²
here in the given figure we have to find base or b²
(AC)² = (CB)² + (AB)²
we know,
AC = 9√2
CB = 2√3
now,
162 = 12 + AB
THEREFORE, OPTION B is correct.
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