Answers
Answer:
Step-by-step explanation:
1 option 2c
1. The equation of a circle with center (h,k) and radius r units is given by
[tex](x-h)^2+(y-k)^2=r^2[/tex]
The given circle has center (5,-2) and a radius r=3 units.
We substitute these values into the formula to get:
[tex](x-5)^2+(y--2)^2=3^2[/tex]
This simplifies to:
[tex](x-5)^2+(y+2)^2=9[/tex]
The correct answer is A.
2. The given circle has center (3,-5) and radius r=8 units.
We substitute the given values into the formula to obtain:
[tex](x-3)^2+(y--5)^2=8^2[/tex]
We simplify to get:
[tex](x-3)^2+(y+5)^2=64[/tex]
The correct answer is C
3. The given circle has equation:
[tex](x+8)^2+(y+9)^2=169[/tex]
We can rewrite this equation as:
[tex](x--8)^2+(y--9)^2=13^2[/tex]
Comparing this to
[tex](x-h)^2+(y-k)^2=r^2[/tex]
The center is (-8,-9) and the radius is 13.
The correct answer is A.
4. The given circle has equation:
[tex](x-7)^2+y^2=225[/tex]
We can rewrite this equation as:
[tex](x-7)^2+(y-0)^2=15^2[/tex]
Comparing this to
[tex](x-h)^2+(y-k)^2=r^2[/tex]
The center is (7,0) and the radius is 15.
The correct answer is B.
5. The given circle has center (-2,6) and passes through (-2,10).
We can use the number line to find the radius.
[tex]r=|10-6|=4[/tex]
[tex](x-h)^2+(y-k)^2=r^2[/tex]
We substitute the center and the radius into the formula to get:
[tex](x--2)^2+(y-6)^2=4^2[/tex]
This simplifies to:
[tex](x+2)^2+(y-6)^2=16[/tex]
The correct answer is A
6. The given circle has center (1,2) and passes through (0,6).
We can use the distance formula to find the radius.
[tex]r=\sqrt{(1-0)^2+(2-6)^2}=\sqrt{17}[/tex]
[tex](x-h)^2+(y-k)^2=r^2[/tex]
We substitute the center and the radius into the formula to get:
[tex](x-1)^2+(y-2)^2=\sqrt{17}^2[/tex]
This simplifies to:
[tex](x-1)^2+(y-2)^2=17[/tex]
The correct answer is C
Related Questions
Miguel and Grace started collecting rare coins at the same time. Back then, they had the same number of rare coins. Miguel has been collecting 5 coins each week and he now has 38 coins. Grace has been collecting 3 coins each week and she now has 24 coins. How many rare coins did they have altogether when they started collecting?
A) 3
B) 6
C) 7
D) 14
Answers
The correct answer is 6
Answer:
Option B is the correct answer
Step-by-step explanation:
Both collections follow arithmetic progression.
Back then, they had the same number of rare coins, which means their first term of AP is same. Let it be a.
Miguel's AP have a common difference 5 and Grace's AP have a common difference 3.
Let the number of weeks completed be n.
We have
a + ( n-1 )x 5 = 38 -------- eqn 1
a + ( n-1 )x 3 = 24 -------- eqn 2
eqn 1 - eqn 2
a + ( n-1 )x 5 - (a + ( n-1 )x 3) = 38 - 24
( n-1 )x 2 = 14
n-1 = 7
n = 8
Substituting in eqn 1
a + ( 8-1 )x 5 = 38
a = 38 - 35 =3
So at starting they both have 3 rare coins.
Total rare coins = 3 + 3 = 6
Option B is the correct answer
graph from liner standard form 3x+2y=12?
Answers
Answer:
See picture below.
Answer:
Graph??
Step-by-step explanation:
I can't really graph, but the answer to this is...
[tex]3x+2y=12\\\\2y=3x+12\\\\y=\frac{3}{2} x+6[/tex]
I divided all by 2 to get y
[tex]y=\frac{3}{2} +6\\\\(2,9) -- (x,y)[/tex]
the product of -5 and x
Answers
Answer:
-5x
Step-by-step explanation:
you multiply them together
(-5)(x)= -5x
Answer:
-5x
Step-by-step explanation:
-5 * X =
Three boys and four girls enter a contest at the local movie theater. A randomly chosen winner will be awarded a free movie ticket, a collectible poster, or free popcorn. What is the probability that a girl will win free popcorn?
Answers
Answer:
4/21
Step-by-step explanation:
⇒This question is on probability
⇒Number of boys=3
⇒Number of girls=4
⇒P(S)= 4+3=7
Probability for a girl to win is= 4/7
We have 3 awards a free movie ticket, a collectible poster, or a free popcorn
P(S)= 3
Probability of being awarded a free popcorn = 1/3
The probability that a girl will win free popcorn =
[tex]\frac{4}{7} * \frac{1}{3} = \frac{4}{21}[/tex]
Answer:
4/21
Step-by-step explanation:
Simplify
[tex] {x}^{5} \div {y}^{2} \times {x}^{3} \times {y}^{5} [/tex]
And animexcartoons209 please don't use PHOTOMATH...
Answers
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ x^5\div y^2\times x^3\times y^5\implies \cfrac{x^5}{y^2}\cdot x^3\cdot y^5\implies x^5\cdot y^{-2}\cdot x^3\cdot y^5 \\\\\\ x^{5+3}y^{-2+5}\implies x^8y^3[/tex]
Answer:
x⁸y³
Step-by-step explanation:
x⁵ ÷ y² × x³ × y⁵
It will be easier to solve this problem if you first rearrange the expression to associate like terms.
(x⁵ × x³) × (y⁵ ÷ y²)
Now, you can use the rules of exponents: When multiplying, you add exponents; when dividing, you subtract exponents.
x⁵ × x³ = x⁵⁺³ = x⁸
y⁵ ÷ y² = y⁵⁻² = y³
Thus,
(x⁵ × x³) × (y⁵ ÷ y²) = x⁸y³
Find the median of the data set: 475, 500, 450, 450, 500
Answers
Answer:
475
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
ILL GIVE BRAINLIEST HELPP
What is the solution to the equations of lines A and B?
A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. Another straight line labeled B joins the ordered pair 0, 3 with the ordered pair 4.5, 6.
Answers
Answer:
The solution is the point (3,5)
The graph in the attached figure
Step-by-step explanation:
step 1
Line A ----> (2,6),(6,2)
Find the equation of the line A
Find the slope
m=(2-6)/(6-2)
m=-1
Find the equation of the line into point slope form
The equation is equal to
y-y1=m(x-x1)
we have
m=-1
point (2,6)
substitute
y-6=-1(x-2)
y=-x+2+6
y=-x+8 ------> equation of the line A
step 2
Line B ----> (0,3),(4.5,6)
Find the equation of the line B
Find the slope
m=(6-3)/(4.5-0)
m=(2/3)
Find the equation of the line into point slope form
The equation is equal to
y-y1=m(x-x1)
we have
m=(2/3)
point (0,3)
substitute
y-3=(2/3)(x-0)
y=(2/3)x+3 ------> equation of the line B
step 3
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both lines
The solution is the point (3,5)
see the attached figure
Its DE and ik its too late but the points is good. oof
Let f(x) = -4x - 2 and g(x) = 5x - 6. Find f×g and state its domain
Answers
Answer:
see explanation
Step-by-step explanation:
f(x) × g(x)
= (4x - 2)(5x - 6) ← expand factors
= 20x² - 24x - 10x + 12 ← collect like terms
= 20x² - 34x + 12
This is a polynomial of degree 2 and is defined for all real values of x
domain : x ∈ R
Solve for m -3+m/9=10
Answers
-3+m/9=10
Add 3 to both sides:
m/9 = 13
Multiply both sides by 9:
m = 13 * 9
m = 117
Answer:
The proportional relationship between the number of pages (p) and the number of hours (h) is represented by the equation
. Write the equation in standard form with a constant of proportionality greater than 1.
Step-by-step explanation:
Jonathan conducted a survey among random boys in his grade to learn their shoe sizes. He found that the mean shoe size of the sample was size 10 and the median was size 8. Which statement is true based on the results of Jonathan’s survey?
Answers
Answer: his shoe size was 11
Step-by-step explanation:
Answer:
I hope this helps
Step-by-step explanation:
Please answer right away
Answers
Answer:
199 a 426 students
Step-by-step explanation:
first to see what amount we are talking about in each case, let's see how many students each percentage represents
22% of students: (22 * 1420 students) /100 = 312.4 students
8% of students: (8*1420 students)/100 = 114.6 students
that is, that the average number of students who work part time is 312.4 students. And that number can vary up to 114.6 students above and up to 114.6 students below
that can be expressed as
22% + 8% = 312.4 + 113.6 = 426 students
and
22% -8% = 312.4-113.6 = 198.8≅ 199 students
Let f(x)=x^2−10x−11 .
Enter the x-intercepts of the quadratic function in the boxes.
Answers
ANSWER
The y-intercept is (0,-11)
The x-intercepts are:
(-1,0) and (11,0)
EXPLANATION
The given function is
[tex]f(x) = {x}^{2} - 10x - 11[/tex]
To find the y-intercept, we put x=0 into the function.
[tex]f(0) = {0}^{2} - 10(0) - 11[/tex]
[tex]f(0) = - 11[/tex]
The y-intercept is (0,-11)
To find the x-intercepts, we put f(x)=0.
[tex]{x}^{2} - 10x - 11 = 0[/tex]
[tex](x + 1)(x - 11) = 0[/tex]
This implies that,
[tex]x = - 1 \: or \: x = 11[/tex]
The x-intercepts are:
(-1,0) and (11,0)
For Future Reference____
-1 & 11 are the X Intercepts
Given: BD is a diameter
m 1 = 100°
m BC= 30°
m ADB=
160
280
330
Answers
Answer:
280
Step-by-step explanation:
<1=100 <4=150 <3=30
mADB=100+150+30=280
Answer with explanation:
Given
m∠1=100°
[tex]m \widehat{BC}=30 ^{\circ}[/tex]
To Find:---m∠A D B
Solution
In Δ A OD
Represent the center of circle by O.
→ m∠1=100°
→OD=O A----------Radii of Circle
→∠ADO=∠D A O--------If opposite sides are equal angle opposite to them are equal.
In ΔA OD, Using Angle Sum property of Triangle
→∠ADO+∠D A O+∠A OD=180°
→2 ∠ADO+100° =180°-------------------[∠ADO=∠D A O]
→2∠ADO=180° -100°
→2∠ADO=80°
Dividing both sides by , 2 we get
⇒∠ADO=40°
⇒⇒⇒∠A DB=40°
≡⇒If you are asking about
[tex]m \widehat{ADB}=180 ^{\circ}[/tex]
Because Angle in a semicircle is Right Angle.Diameter B D divides the circle into two equal arc measure of each arc being 180 degree.
⇒⇒If you are asking about Angle made by Major arc ADB, then
[tex]m \widehat{ADB}=\angle AOD + \widehat{BOD}\\\\=100 ^{\circ}+180 ^{\circ}=280 ^{\circ}[/tex]
Option B
What is the value of x?
Answers
Check the picture below.
What is the value of x in this figure?
14√3
28√3
28√2
28
Answers
Answer:
x=28 (Yup you're correct)
Step-by-step explanation:
As this problem is involving the Opposite angle and the Hypotenuse, we can use the sin function in order to solve this. The setup is as follows
[tex]sin(30)=\frac{14}{x}[/tex]
Now we can solve for x
[tex]sin(30)=\frac{14}{x}\\\\x=\frac{14}{sin(30)}[/tex]
Now we can plug it into a calculator to get
[tex]x=28[/tex]
Answer:
28Step-by-step explanation:
(Look at the picture)
We have the triangle 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.
We have a = 14. Therefore x = 2a ⇒ x = 2(14) = 28
flip your phone sideways to view the question
Answers
Answer:
- 160 I think
Step-by-step explanation
I think i'm right but there are
200 blocks and there are 40 left out so then i did 40 - 200 = -160
A bag contains 1 yellow ball and 9 red balls. A ball is chosen at random from the bag. What is the BEST answer for the probability of drawing the yellow ball?
A) impossible
B) unlikely
C) very likely
D) certain
Answers
Answer
so it is answer B
Step-by-step explanation:
since the sample space is 10, the chance of selecting theyellow ball is 1/10
which is unliekly
B) unlikely
it’s a 10% chance to get a yellow ball and a 90% chance to get a red ball
the inequality 1/2x+3<2x-6 is equivalent to) A. x<-5/6 B. x<6 C. x>-5/6 D. x>6 explain and show work please
Answers
Answer:
D. x > 6Step-by-step explanation:
[tex]\dfrac{1}{2}x+3<2x-6\qquad\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup^1\cdot\dfrac{1}{2\!\!\!\!\diagup_1}x+2\cdot3<2\cdot2x-2\cdot6\\\\x+6<4x-12\qquad\text{subtract 6 from both sides}\\\\x<4x-18\qquad\text{subtract 4x from both sides}\\\\-3x<-18\qquad\text{change the signs}\\\\3x>18\qquad\text{divide both sides by 3}\\\\x>6[/tex]
Can you guys please help me
Answers
Answer: A?
Step-by-step explanation:
Frank, Carl, and Vinny started a lawn mowing business over the summer. This table shows how many lawns each worker mowed during the summer months.
Display the data in matrix W with rows indicating workers. What is element w13?
a.22
b.29
c.21
d.19
Answers
Answer:
A.22
Step-by-step explanation:
Answer:
d. 19
Step-by-step explanation:
A matrix is an array of rectangular shape which consists of numbers, symbols, or expressions, arranged in rows and columns.
[tex]\begin{bmatrix}28&21&19\\17&24&15\\22&29&17\end{bmatrix}[/tex]
[tex]w_{1,3}[/tex] means element in first row third column. First row means Frank and third column means August.
So, the number of lawns mowed by Frank in August is
[tex]w_{1,3}=19[/tex]
today only, a suit is being sold at a 29% off (discount). The sale price is $284. What was the original price?
Answers
If the original price is X, then(1-29%)X=284, so X=284/(1-0.29)=400
The original price of the suit is $400.
How to find the original price?To find the original price, we must multiply the discounted value with the reciprocal of the percentage that it represents.
The original price can be found as shown below:The discounted price is $284.
The percentage of discount is 29%.
Therefore, the percentage which represents the price is 100 - 29 which is 71%.
Therefore, we can find the original cost by multiplying the discounted price by the reciprocal of 71/100. This can be done as shown below:
The original price = 284 * 100/71
= $400.
We have found the original price. The original price is found to be $400.
Therefore, we have found that the original price of the suit is $400.
Learn more about percentages here: https://brainly.com/question/24304697
#SPJ2
2 Ella, James, and Ray's grandmother gave them $24 to divide equally. They spent the
money during a 4-day vacation. They spent the same amount of money each day.
How much did each person spend each day?
A $1
B $2
C $4
D $8
Answers
3 kids and $24 will give each 24/3=$8 each
$8 for 4days is 8/4=$2 a day they spent
Find the 29th term of the following sequence. 2, 13, 24, 35,....
Answers
321
Look for a pattern: The term is 11 more than the number before. this means 11 is added each time.
Since you start with 2 and the number goes up by 11 per term, the equation you would use to find the nth term would be 11n+2
To find the 29th term, simply plug in 29
11n+2
11(29)+2
321
The 29th term is 321.
First you have to find the rate of change. It would be 11 because 35 - 24 = 11, 24 - 13 = 11 and 13 - 2 = 11.
These are the first 4 terms so just keep adding on 11 until you get 29 terms.
2, 13, 24, 35, 46, 57, 68, 79, 90, 101, 112, 123, 134, 145, 156, 167, 178, 189
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
200, 211, 222, 233, 244, 255, 266, 277, 288, 299, 310
19 20 21 22 23 24 25 26 27 28 29
Your final answer would be 310.
Evaluate -4a + 8z if a=8 and z=3.
Answers
Answer:
-8
Step-by-step explanation:
-4a + 8z
= -4(8)+8(3)
= -32+24
= -8
use the substitution method
-4a+8z
-4(8)+8(3)
-32+24 Negative number times (*) and positive number=negative number
=-8
Answer is -8
Which function represents g(x), a reflection of f(x) = (3)x across the y-axis?
g(x) = 2(3)x
g(x) = −(3)x
g(x) = (3)−x
g(x) = 2(3)−
Answers
Answer: [tex]g(x)=(3)^{-x}[/tex]
Step-by-step explanation:
We know that if a figure is reflected across y axis then its y coordinate remains same but the x coordinate changes its polarity.
i.e. the function [tex]f(x)[/tex] will become [tex]f(-x)[/tex] .
Now, the given function :[tex]f(x)=(3)^x[/tex]
Then , after reflection across y axis the new function will become:
[tex]g(x)=f(-x)=(3)^{-x}[/tex]
If a triangle has an angle of 20 and an angle of 40 what is the other angle
Answers
Answer:
120
Step-by-step explanation:
A triangles angles always add to 180 degrees.
180=20+40+x
180-20=160
160-40=120
120=x
Answer:
120
Step-by-step explanation:
20+40=60
180-60
120
if cosec theta = 3/2, then find the value of 2 ( cosec2 theta + cot2 theta )
Answers
Answer:
7
Step-by-step explanation:
Using the trigonometric identity
• 1 + cot²x = cosec²x, then
2(cosec²Θ + cosec²Θ - 1 )
= 2(2cosec²Θ - 1)
= 4cosec²Θ - 2
= 4 × ([tex]\frac{3}{2}[/tex] )² - 2
= 4 × [tex]\frac{9}{4}[/tex] - 2
= 9 - 2
= 7
Alex is selling tickets to a school play. An adult ticket costs $6.50 and a student ticket costs $4.00. Alex sells x adult tickets and 12 student tickets. Write a function, f (x), to represent how much money Alex collected from selling tickets.
Answers
Answer:
[tex]f(x)=6.50x+48.00[/tex]
Step-by-step explanation:
Let
x ----> the number of adult tickets
f(x) ----> amount of money collected
To find the amount collected multiply the number of adult tickets by the cost and multiply the number of student tickets by the cost, and then sum the two quantities
The linear equation that represent this problem is
[tex]f(x)=6.50x+4.00(12)[/tex]
[tex]f(x)=6.50x+48.00[/tex]
Answer:
Step-by-step explanation:
F(x)=6.50x+48.00
Buying shares in a company is one way to invest money.
Answers
This statement is true.
When you buy a share in a company, you are investing your money, and you may earn more money if the share’s value rises, or you may lose money if the share’s value falls.
Investing in a company by buying shares makes you a shareholder, with potential income from dividends and stock appreciation. However, it carries risk as there is no guarantee for profits. Diversification is a key strategy when investing in stocks to mitigate risks.
Buying shares in a company is a common method of investment, wherein you become a shareholder and own a part of the company's equity. As a shareholder, you have a claim to the company's assets and profits proportional to the amount of stock you own. There are two primary ways that shareholders can earn money from their investments. One way is through dividends, which are payments distributed from the company's profit to shareholders. The other way is through appreciation in the stock's value, as the company grows and becomes more profitable; this increases the stock's market price, and you can sell your shares for a profit. It's important to understand that purchasing stock does involve risk, as there is no guarantee of dividends or stock appreciation. However, for many, owning stock is preferred over other investments like bonds because of the potential for higher returns. Lastly, when buying stock, especially that of your employer, it's advisable to follow general rules of portfolio investing, such as diversification, not to expose yourself to undue risk.
Find the range and interquartile range of the data. Round to the nearest tenth.
183, 339, 284, 111, 134, 344, 133
A. Range=211; interquartile range= 206
B. Range=233; interquartile range= 206
C. Range= 233; interquartile range= 156
D. Range= 211; interquartile range= 156
Answers
Answer:
It's B.
Step-by-step explanation:
The range is 344 - 111
= 233.
Arranging the data in ascending order:
111 133 134 183 284 339 344
The lower quartile = 133 and the upper quartile = 339.
So the interquartile range = 339 - 133
= 206.
We first need to list the following Data Set:
111, 133, 134, 183, 284, 334, 339
Range = highest value - lowest value =
Range = 339 - 111 = 228
Interquartile range = upper quartile - lower quartile =
(or IQR = interquartile range, another term)
Interquartile range = 334 - 133 = 201