Answer:
(x - 2)^2 + (y + 1)^2 = 26
Step-by-step explanation:
A circle with center O(2, -1) that passes through the point A(3, 4).
=> The radius of this circle is OA which could be calculated by:
OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]
The equation of a circle with center O(a, b) and radius r could be written as:
(x - a)^2 + (y - b)^2 = r^2
=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:
(x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2
<=>(x - 2)^2 + (y + 1)^2 = 26
Hope this helps!
Answer:
(x-2)²+(y+1)²=26
Step-by-step explanation:
(x-2)²+(y+1)²=26
distance formula for radius
√(3-2)²+(4--1)² = √26
(x-h)²+(y-k)²=r²
A school determined that there is about a 33% chance that a student will choose a salad over a grilled chicken sandwich for lunch. Which simulation could you use to answer questions about the type of lunch students will choose?
Answer:
Picking and replacing
Step-by-step explanation:
theres only a 33% chance to get blue
Answer:
LOOk at the PicTure !!
Step-by-step explanation:
algebra applications: find the value of x and y
Answer:
[tex]x = 14\\y = 20 \\[/tex]
Step-by-step explanation:
Finding x:
8x + 3x + 26 = 180 (Angle on a straight line add up to 180°)
11x = 180-26
11x = 154
Dividing both sides by 11
x = 14
Finding y:
3x + 5y + 38 = 180 (Angle on a straight line add up to 180°)
3(14) + 5y + 38 = 180
42 + 38 + 5y = 180
80 + 5y = 180
5y = 180-80
5y = 100
Dividing both sides by 5
y = 20
Answer:
x = 14, y = 20
Step-by-step explanation:
[tex](8x + 26) \degree + 3x \degree = 180 \degree..(straight \: line \: \angle s) \\ (11x + 26) \degree = 180 \degree \\ 11x + 26 = 180 \\ 11x = 180 - 26 \\ 11x = 154 \\ \\ x = \frac{154}{11} \\ \\ \huge \red { \boxed{x = 14}} \\ \\ (5y + 38) \degree = (8x + 26) \degree..(vertical \: \angle s) \\ 5y + 38 = 8 \times 14 + 26 \\ 5y + 38 = 112 + 26 \\ 5y + 38 = 138 \\ 5y = 138 - 38 \\ 5y = 100 \\ \\ y = \frac{100}{5} \\ \\ \huge \purple{ \boxed{ y = 20}}[/tex]
Find the sum of the measures of the exterior angles of a convex 65-gon.
Answer:
Answer is below
Step-by-step explanation:
The sum of the measures of exterior angles on any shape is always 360 degrees.
If you meant to say the sum of the measures of the interior angles of a convex 65-gon, then it would be 11340 degrees.
(n-2)(180) Substitute
(65-2)(180) Subtract
(63)(180) Multiply
11340
Sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]
An exterior angle is an angle between a side of a polygon and an extended side adjacent to it.
A polygon refers to any closed curve comprised of a set of connected sides such that no two sides cross.
Convex [tex]\boldsymbol{65-}[/tex]gon means a convex polygon with [tex]\boldsymbol{n}[/tex] sides.
The sum of measures of any polygon is equal to [tex]\boldsymbol{360^{\circ}}[/tex]
So, the sum of the measures of the exterior angles of a convex [tex]\boldsymbol{65-}[/tex]gon is equal to [tex]360^{\circ}[/tex]
For more information:
https://brainly.com/question/20557865?referrer=searchResults
((x - 4) + (x + 2)) *
2x – 2
x2 – 8
x2 – 2x – 8
x2 + 2x – 8
Answer:
the 3 one is 4+5=9876
Step-by-step explanation:
Solve -8(x+6)-1=5(x-2) for x
The value of X is -3.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex]x = - 3[/tex]
Step-by-step explanation:
[tex] - 8(x + 6) - 1 = 5(x - 2) \\ - 8x - 48 - 1 = 5x - 10 \\ - 8x - 5x = 48 + 1 - 10 \\ - 13x = 39 \\ \frac{ - 13x}{ - 13} = \frac{39}{ - 13} \\ x = - 3[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the value of x in each case. Give reasons to justify your solutions!
Answer:
Look at the attachment
Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest. Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly.
A) How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years? Round to nearest cent.
B) What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account? Round to nearest hundredth of a percent.
Answer:
A)You will earn $20311.62 as interest if you deposit $23750 into an investment account for 8 years.
B) The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%
Step-by-step explanation:
We are given that Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest.
Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly.
a)How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years?
Principal = 23750
Rate of interest = 7.75%
No. of compounds per year = 12
Time = 8 years
Formula : [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where A is the amount
P is the principal
r = rate of interest
n = No. of compounds
t = time
Substitute the value sin the formula :
[tex]A=23750(1+\frac{7.75}{1200})^{12 \times 8}[/tex]
A=44061.6163406
Interest = Amount - Principal
Interest = 44061.6163406-23750
Interest =20311.62
You will earn $20311.62 as interest if you deposit $23750 into an investment account for 8 years.
B)What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account
Principal = 23750
Simple interest =[tex]\frac{P \times T \times R}{100}[/tex]
[tex]20311.62=\frac{23750 \times 8 \times R}{100}\\\frac{20311.62 \times 100}{23750 \times 8}=R\\10.69\%=R[/tex]
Hence The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%
A jar of marbles has 23 red marbles, 12 white marbles, 18 yellow marbles and 28 black marbles. What are the chances of the following:
1) Picking a black marble?
2) Picking a purple marble?
3) Picking a red or white marble?
4) Picking a marble whose color has 5 letters in it?
Answer:
1.) Chances of picking a black marble: 28/81 or 34.6%
2). 0/81 chances of picking a purple marble or 0%
3.) Chances of picking a red or white marble: 35/81 or 43.2%
4.) Chances of picking a marble whose color has 5 letter in it: 40/81 or 49.4%
Identify which of the labeled angles in the figure is an obtuse angle. answers: A) 2 B) 3 C) 1 D) 4
Answer:
D) 4
Step-by-step explanation:
To start with we can see that on all the line there are little arrows on the end which means that the line continues forever.
C and B are acute angle because we can eyeball that they are less then 90 degrees.
A is most likely to be a right angle because their are two perpendicular straight lines.
D is the correct answer because as I said the lines continue forever. So in that case both lines are not perpendicular or less than 90º.
Answer:
D
Step-by-step explanation:
The perimeter of a rectangular painting is 340 centimeters. If the width of the painting is 77 centimeters, what is its length?
Answer:
98 centimeters
Step-by-step explanation:
perimeter of rectangle=2(l+b)
width=breadth=77centimetrs
perimeter=340 centimeters
340=2(l+77)
340=2l+144
340-144=2l
196=2l
l=98 centimetrs
I need to do this assignment
Answer:
c
Step-by-step explanation:
(3x+1)(x+6)
3x^2+18x+1x+6
!!! Help
What is the measurement of angle A to the nearest degree???
Answer:
51 = A
Step-by-step explanation:
Using the law of sines
sin 95 sin A
------------- = -----------
9 7
Using cross products
7 sin 95 = 9 sin A
Divide each side by 9
7/9 sin 95 = sin A
Take the inverse sin of each side
sin ^-1 ( 7/9 sin 95) = A
50.78854367= A
To the nearest degree
51 = A
Which of the following is the simplified form of 7sqrtx 7sqrtx 7sqrtx
Answer:
First option is the correct answer
[tex] {x}^{ \frac{3}{7} } [/tex]
Step-by-step explanation:
[tex] \sqrt[7]{x} \times \sqrt[7]{x} \times \sqrt[7]{x} \\ \\ = \sqrt[7]{x\times x\times x } \\ \\ = \sqrt[7]{ {x}^{3} } \\ \\ = {x}^{ \frac{3}{7} } [/tex]
1) A microbiologist measures the length of a bacterium of 0.000163 m and the
length of yeast as 0.0087 mm.
a) Which is longest? (Hint: Both must be the same units)
b) How much longer is the longer specimen than the shorter specimen?
Answer:
a) The bacterium is longer;
b) The bacterium is 0.1543 mm longer than the yeast.
Step-by-step explanation:
In order to compare the length of the two beings we need to convert them to the same unit. We can do it either way, but we'll choose to convert from meters to milimetres, since we're dealing with small numbers. To do that we need to multiply the length that is in "m" by 1000.
[tex]length_{bac} = 0.000163*1000 = 0.163 \text{ mm}[/tex]
a) The bacteria is longer than the yeast.
b) We need to subtract their length in order to find this answer:
[tex]\text{dif} = length_{bac} - length_{yeast}\\\text{dif} = 0.163 - 0.0087 = 0.1543 \text{ mm}[/tex]
(3+4x)(3-4x)=
THIS IS SO HARD IM GOING CRAZY !!!!!!!!!!!!
Step-by-step explanation:
Actually, it isn't that hard. Remember the difference of squares? (a + b)(a - b) = a² - b² and in this case 9 is a and 4x is b so our answer is 81 - 16x².
Answer:
9 - 16x²
Step-by-step explanation:
(3+4x)(3-4x)= 3²- (4x)²= 9 - 16x²
PLEASE HELP! WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
80 percent of 90 is the same as 40 percent of what number?
Answer:
180
Step-by-step explanation:
for 40 to be equal to 80 in percentages, the number has to be duplicated
Answer:
180
Step-by-step explanation:
90×80/100=72
40/100×x=72
transpose 100
40x=72×100
x=7200/40=180
Oil prices are projected to increase by 125% by next August. A quart of oil currently costs $1.25. What is the projected cost of a gallon of oil next August? Round your answer to the nearest hundredth.
Answer:
$2.81
Step-by-step explanation:
1.25 is 100% of the price
125% + 100% = 225%
x = price by august
x = 225% (1.25)
225% = 2.25
2.25(1.25) = 2.8125 ≈ $2.81
Another way to see it:
[tex]\frac{1.25}{x}[/tex] = [tex]\frac{100}{225}[/tex]
225(1.25) / 100 = 2.8125
Answer:
11.25
Step-by-step explanation:
Solve for x: −8 x > 6 7 > x > 6 TONS OF POINTS WHO EVER HAVE THE BEST GET BRAINLIEST!!!!!!!
Answer:
7 > x > 6
Step-by-step explanation:
- 8 x > 67 > x > 6 will become -8 x > 6 when you cancel out the 67 and the x .
Then you will calculate - 8 x > 6 which will equal to 7 > x > 6 .
So your answer would be your last option
I hope this helps :)
Please help. Use the steps to finish writing an equivalent equation for y in terms of x. −6x = 12 − 4y 1. Subtract 12 from both sides: −6x − 12 = −4y 2. Divide −4 to both sides: −6x − 12 −4 = −4y −4 x + 3 = y
Answer:
3/2 x +3 = y
Step-by-step explanation:
−6x = 12 − 4y
Subtract 12 from both side
−6x-12 = 12 − 4y-12
-6x -12 = -4y
Divide both side by -4
(-6x -12)/-4 = -4y/-4
-6x/-4 -12/-4 = y
3/2 x +3 = y
Answer:
y = 1.5x + 3
Step-by-step explanation:
= - 6x - 12 = - 4y
(- 6x - 12)/- 4 = - 4y/- 4
1.5x + 3 = y
Hope this helps!
Select the correct answer.
Shareese has a credit line of $3,000 on her credit card. Review the summary of her latest credit card statement.
Previous
Balance
Payments/Credits
Summary
New
Finance New
Purchases Charge Balance
$1,299.00 $18.00 $1,567.25
$1,250.25
$1,000.00
What is the available credit on Shareese's card?
O A $1,432.75
B. $1,299.00
$317.00
Reset
Net
reserved.
Answer:
the answer is A)1,432.75.
match the words that have the same roots. Every word listed has a matching word.
Answer:
Biology- Biography, Mortal-Mortify, Percent-Century, Revise-Adviser, dialogue-monologue.
Step-by-step explanation:
Bio
Mor or Mort
Cent
Vise
Logue
Are all the different latin roots present here.
Answer:
1) biology- biography
2) revise-adviser
3) mortal-mortify
4) percent- century
5) dialogue-monologue.
Step-by-step explanation:
1) Bio-Bio
2) vise-viser
3) mor-mor
4) cen-cen
5) logue-logue
are all matching words.
PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!
A game has 150 cards, and five of them are bonus cards. If all the cards are on the table, what is the probability of getting a bonus card when choosing a card at random? Write your answer as a fraction.
Answer:
1/30
Step-by-step explanation:
well if there are 150 cards on the table and 5 are bonus, this can be turned into a simple fraction 5/150. just simplify and you are good to go!
Evaluate the following expression.
6
Step-by-step explanation:
first change it to fraction
1/6
use long division method to simplify
you will get
0.66666666666
leave your answer in 2 place decimal
0.167
the numerator of a fraction is 1 more than twice its denominator if 4 is added to both the numerator and the denominator the fraction reduces to 5/3 find the denominator
Answer:
11
Step-by-step explanation:
Given Fraction
Let the denominator = x
The numerator is 2x + 1
2x + 1
=====
x
The new fraction
2x + 1 + 4
=========
x + 4
Equation
2x + 5 5
====== = ====
x + 4 3
Solution
Cross Multiply
3(2x + 5) = 5(x + 4)
Remove the brackets
6x + 15 = 5x + 20
Subtract 5x from both sides
6x - 5x + 15 = 20
Subtract 15 from both sides
x = 20 - 15
x = 5
============
Answer
2(5) + 1 = 11
The original numerator is 11
The histogram shows the scores of each participant in a game for a total of 100 participants. What is the ratio of participants who score 80 to 99 to the total number of participants? 17 participants scored 80-99
which of theses fraction is the largest 1/2 4/5 5/8 3/6
Answer:
4/5 is the largest
convert them into decimals (idk what they are called) but basically, 4/5 is 0.8, 1/2 and 3/6 are 0.5 and 5/8 is 0.625
when you look at the numbers this way, 4/5 is the largest
Answer:4/5
Step-by-step explanation:1/2=50% 4/5=80% 5/8=63.5% 3/6=50%. The largest is 80% which is 4/5
30 points!!!
Find the value of x. sin 62°=7x
Answer:
Step-by-step explanation:
x = 0.12613537
Solve this equation: -7x + 12 – 2x = 23 + 13.0
Step 1: Simplify by combining like terms that are on the
same side of the equation. Which terms can be
combined?
Answer:
Step-by-step explanation:
We can combine the -7x and the -2x and the left side to get -9x and the 23 and 13 on the right side to get 36.
This gives us
-9x + 12 = 36
Subtacting 12 from both sides gives us
-9x = 24
dividing by -9 gives us
x = - 8/3
Answer:
see below
Step-by-step explanation:
-7x + 12 – 2x = 23 + 13.0
Combine like terms
(-7x-2x) +12 = (23+13)
-9x +12 = 36
Subtract 12 from each side
-9x +12 -12 = 36 -12
-9x = 24
Divide each side by -9
-9x/-9 = 24/-9
x = -8/3
Evaluate 5(6) -c ifc=7
Answer:
The answer should be 23.
Step-by-step explanation:
If C=7, then you just need to plug 7 into the equation.
5(6) - 7
From there, you just need to multiply 5 times 6 which is 30. After that you have 30-7 which gets you 23.
The random numbers below represent 15 trials of a basketball simulation conducted using a spinner numbered 0–8. 76645, 46757, 28334, 81357, 52453, 21761, 51537, 62385, 62135, 16687, 41662, 27135, 45445, 33858, 86427 Let the number 1 represent a 3-point basket and the numbers 2–8 represent 2-point baskets. Based on the simulation, what is the probability that at least one of the next 5 baskets made by the team is a 3-pointer? A. 6/15 B. 8/15 C. 5/15 D. 7/15
Answer: Option D.
Step-by-step explanation:
Out of the 15 simulations, the number with a 1 in them is 7. (are the sets of 5 shots that have at least one 3-pointer)
So out of 15 sets, 7 of them have at least one 3-point in them.
the experimental probability is p = 7/15.
So the correct option is D.
