Answer:
[tex](y-7)^2+(x-2)^2=16[/tex]
and
[tex](x+2)^2+(y-15)^2 = 9[/tex]
Step-by-step explanation:
The standard equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where the coordinate (h,k) is the center of the circle.
Second Problem:
We can start with the second problem which uses this info very easily.(h,k) in this problem is (-2,15) simply plug these into the equation. [tex](x--2)^2+(y-15)^2=r^2[/tex] .We can also add the radius 3 and square it so it becomes 9. The equation.This simplifies to [tex](x+2)^2+(y-15)^2 = 9[/tex].First Problem:
The first problem takes a different approach it is not in standard form. But we can convert it to standard form by completing the square.[tex]y^2-14y+x^2-4x+37=0[/tex] first subtract 37 from both sides so the equation is now [tex]y^2-14y+x^2-4x=-37[/tex].[tex]y^2-14y+x^2-4x+37=0[/tex] by adding [tex](-\frac{b}{2a} )^2[/tex] to both the x and y portions of this equation you can complete the squares. [tex](-\frac{b}{2a})^2=(-\frac{-14}{2(1)})^2[/tex] and [tex](-\frac{-4}{2(1)})^2[/tex] which equals 49 and 4.Add 49 and 4 to both sides and the equation is now:[tex]y^2-14y+49+x^2-4x+4=-37+49+4[/tex] You can simplify the y and x portions of the equations into the perfect squares or factored form [tex](y-7)^2[/tex] and [tex](x-2)^2[/tex].Finally put the whole thing together. [tex](y-7)^2+(x-2)^2=16[/tex].I hope this helps!
What is the measure of
Answer:
60⁰ is the answer. akksjdjd
[tex]( - 12) \times ( - 4) + ( - 8) + ( + 3)[/tex]
could you help..
[tex] \sf \: ( - 12 )\times( - 4) + (- 8 )+ (+ 3) \\ \sf \: = (- 12 \times - 4 )+ (- 8 + 3) \\ \sf \: = 48 - 5 \\ = 43[/tex]
Hope it helps.
RainbowSalt2222
A borrows a certain amount of money from B at simple interest of 15% for two years and lends it to C at the compound interest of 15% for the same period. If A makes a profit of Rs. 90, then the amount he borrowed from B is?
a. Rs. 900
b. Rs. 3000
C. Rs. 4000
d. Rs. 6000
Answer:
the amount he borrowed from b is 540
please help i'm having a very hard time understanding this!
Hi there!
check the pic
#YoghurtCup!
Answer: F
Step-by-step explanation:
Put all numbers with 1 exponent.
[tex](\sqrt{8^4} *\sqrt{6^4} )^{\frac{3}{2} }\\\\=(2^{\frac{3*4}{2} }*(2^{\frac{4}{2} }*3^{\frac{4}{2}} )\ )^{\dfrac{3}{2} }\\\\\\=(2^6*2^2*3^2)^{\dfrac{3}{2} }\\\\=2^{8*\frac{3}{2} }*3^{2*\frac{3}{2}} \\\\\\\boxed{=2^{12}*3^3}\\\\\\Answer\ F[/tex]
8x+6-9x=2-x-15
Help.
Step-by-step explanation:
︎︎︎︎ ︎︎︎︎ ︎︎︎︎︎ ︎︎ ︎︎︎︎❤︎❤︎❥︎ఌ︎ꨄ︎
[tex]8x + 6 - 9x = 2 - x - 15 \\ 8x - 9x + x = 2 - 15 - 6 \\ x = 2 - 15 - 6 \\ x = = 19[/tex]
please mark this answer as brainlist
Name the number system in which only the whole number less than 5 are used
Stay Safe, Stay Happy and stay healthy
Step-by-step explanation:
Whole numbers less than 5 may be termed as Rational numbers.
michelle is 3 times as old as her sister tina. Tina is 4 years younger than michelle. How old is tina now?
Answer:
Tina's age = 2 years
Step-by-step explanation:
Tina's age = x
Michelle's age = 3 * x = 3x
Tina is 4 years younger than Michelle.
x = 3x - 4
Add 4 to both side
x +4 = 3x
Subtract x from both sides
4 = 3x - x
4 = 2x
Divide both sides by 2
4/2 = x
2 = x
Tina's age = 2 years
I really need help thia is my last chance to get a good grade in math-
Answer:
Step-by-step explanation:
bsahaahaaana
Pls help me I will mark your answer as brainliest!
Answer:
9
Step-by-step explanation:
if we divide it my 9 we will get 927,998.666667
Answer: greatest number which should be replace m= 8
Except number 9, ; 2,5.and 8 can replace m so that the number 5567m92 is divisible by 6( Here greatest among all is 8 so 8 is your answer)
Step-by-step explanation:
5567292 is divisible by 6.
5567592 is divisible by 6.
5567892 is divisible by 6.
Can someone please help me solve this ?
answer:
-1
here's the explanation below :))
[tex]3-\sqrt{x} 1-16x^{2}[/tex]
Answer:
Step-by-step explanation:
This equation turns out to be a quartic. I'm not sure what should be done with. I can't believe you were asked to find its roots which are unbelievably complex. Here is a graph with the only 2 points that are easily found. If I am not solving what you need, please leave a note.
HELLOOOPPPPPPPPOPPPP
Answer:
Below
Step-by-step explanation:
Sale price of each tire : $92.99 - $20 = 72.99. The cost of x tires is 72.99x
If the sales tax is 4% there is an additional (72.99x)(1.04)
Here is the equation
= (72.99)(1.04) t
If Patrick bought 8 tires.....
= (72.99)(1.04)(8)
= $607.2768
Hope this helps!
Which equation results from taking the square root of both sides of (x – 9)2 = 81?
x – 9 = ±9
x + 9 = ±9
x + 3 = ±9
x – 3 = ±9
Mark this and return
Step-by-step explanation:
Hi there!
Given;
(x-9)² = 81........(i)
Take whole square right side;
(x-9) = ±√(81)
(x-9) = ±9
Therefore, the answer is option A.
Hope it helps!
Ivana wants to give books from her store to the local library. She needs to place 8 books in each box. If she has 1,125 books to give away, how many boxes will she need
Answer:
140.625
Step-by-step explanation:
1125 books, placed into 8 per boxes, 1125/8=140.625
Explain what it means for a solution of an equation to be extraneous.
Answer:
Extraneous Solutions An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation. Example 1: Solve for x, 1 x − 2 + 1 x + 2 = 4 (x − 2) (x + 2).
An emu that measures 45 inches in height is 60 inches less than 5 times the height of a kakapo.
What is the height of a kakapo in inches?
The kakapo is inches tall.
Pls help me
Answer:
21 inches tall
Step-by-step explanation:
Let x represent the height of the kakapo.
Create an equation to represent this situation, and solve for x:
45 = 5x - 60
105 = 5x
21 = x
So, the kakapo is 21 inches tall.
Consider these four statements about a line that passes through two points on a plane.
Statement A: The lines on a different plane from the points.
Stament B: The line lies in only one plane.
Statement C: The line is on the same plane as the points.
Statement D: The line passes through only one plane.
Which statement is true?
Answer:
4
Step-by-step explanation:
ndicate whether each of the following relationships is usually a direct relationship or an inverse relationship. a. A sports team's winning percentage and attendance at its home games: (Click to select) . b. Higher temperatures and sweater sales: (Click to select) . c. A person's income and how often he or she shops at discount stores: (Click to select) . d. Higher gasoline prices and miles driven in automobiles: (Click to select) .
Answer:
Following are the responses to the given question:
Step-by-step explanation:
The following relationships usually have a direct or inverse relationship, please indicate.
Win percentage and attendance during home games of a sports franchise are directly related.There is an inverse relationship between higher temperatures with sweater sales.An inverse link exists between a family's salary and how often he or she spends in bargain shops.There was an inverse relationship between higher gas prices and more miles traveled.Are the ratios 11:9 and 2:1 equivalent?
yes or no
Answer:
no
Step-by-step explanation:
We can determine if they are equivalent if the cross products are equal
11 2
----- = ------
9 1
11*1 = 2*9
11 = 18
This is false so the ratios are not equivalent
Consider that 45% of Americans own a dog, 25% of Americans own a cat, and 40% of Americans own neither. Draw a Venn Diagram for this situation. Be sure to label every region of the Venn Diagram with a word AND the percentage of Americans that fall in each category.
Answer:
See below
Step-by-step explanation:
40% own neither, it means 100% - 40% = 60% own either a dog or a cat.
Since 45% own a dog, 60% - 45% = 15% own a cat but not a dog.
Since 25% own a cat and 15% own only a cat, 25% - 15% = 10% own a dog and a cat.
Now, 10% out of 45% own both pets, 45% - 10% = 35% own only a dog.
All the numbers reflected in the attached Venn diagram:
35% - dog10% - both15% - cat40% - neitherWhats 782,835 divided by 5?
Answer:
156,567
Step-by-step explanation:
782,835 ÷ 5 = 156,567
Answer:
it is 165,567
Step-by-step explanation:
u divide
Can anyone pls help me with this I'll mark as brainlist for correct answer please do explain in detail each answers Ty! (I'm preparing for my maths exam tmr)
Question 8
a^2 + 7a + 12
= (a+3)(a+4)
When factorising a quadratic, the product of the two factors should equal the constant term (12), and the sum of the two factors should equal the linear term (7). To find the two factors, list out the factors of 12 (1x12, 2x6, 3x4) and identify the pair that adds up to 7 (3+4).
An alternative method if you get stuck during your exam would be to solve it algebraically using the quadratic formula and then write it in the factorised form.
a = (-7 +or- sqrt(7^2 - 4(1)(12)) / 2(1)
= (-7 +or- sqrt(1))/2
= -3 or -4
These factors are the negative of the values that would go in the brackets when written in factorised form, as when a = -3 the factor (a+3) would equal 0. (If it were positive 3 instead, then in the factorised form it would be a-3).
Question 10
-3(x - y)/9 + (4x - 7y)/2 - (x + y)/18
Rewrite each fraction with a common denominator so you can combine the fractions into one.
= -6(x - y)/18 + 9(4x - 7y)/18 - (x + y)/18
= (-6(x - y) + 9(4x - 7y) - (x + y)) /18
Expand the brackets and collect like terms.
= (-6x + 6y + 36x - 63y - x - y)/18
= (29x - 58y)/18
= 29/18 x - 29/9 y
Penny attended a four year state college. She took out a student loan to pay for her tuition and room & board for the four years she was attending the college. Her tuition fees were $6,970 per year, and the cost of her room and board was $11,320 per year. Now that she has graduated, she will have to start paying back her loan. Fortunately, Penny has a grace period of one year before she has to start paying back the loan. Her loan details are as follows: there is a fixed-rate interest of 4.5% and the interest compounds each month. During her one year grace period, interest will accrue on the loan, so that when she has to start paying the loan back she will owe more than what she owes now. Her goal is to be able to payoff the loan in 10 years.
Given all of this information, answer the following questions:
1. What is the original loan amount, i.e. how much were the total costs for tuition plus room & board for the four years that Penny attended the college?
2. What is the new loan amount after the one-year grace period (remember that interest will accrue on the loan during this initial 12-month period that she is not paying anything back on the loan)? This is the amount that she will be responsible for paying back. (Round your answer to the nearest whole dollar)
3. Given that she can pay back the loan in full after 10 years of payments, what is the total amount she will end up paying back (both principal and interest that has accrued over the 10 years)? And how much will her monthly payments on the loan be for those 10 years? (Round your answers to the nearest whole dollar)
Answer:
27,880 for tutitions + 45,280 for room and board= 73,160 total
The interquartile range is determined by the formula _________.
A. Third quartile - First quartile
B. Third quartile + first quartile
C. First quartile - third quartile
D. Maximum - minimum
Answer:
A)
Step-by-step explanation:
The inter quartile range is determined by the formula Third quartile - first quartile.
In a set, an inter quartile range is a measure of where the bulk of the data's lie
(-3,7), (5,11) what is the slope and can u show me how u got it please
Answer:
The formula for the slope is:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Assign each given point to a variable:
(x₁, y₁) = (-3, 7)(x₂, y₂) = (5, 11)Substitute in the values into the formula:
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{11-7}{5-(-3)}=\frac{4}{8} =\frac{1}{2}[/tex]
Therefore, the slope is 1/2.
Answer:
1/2
Step-by-step explanation:
The formula for slope: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
Plug in:
[tex]\frac{11-7}{5-(-3)}[/tex]
11 - 7 = 4
5-(-3)
5 + 3 = 8
4/8 = 1/2
The slope is 1/2.
Hope this helped.
Anybody know how to do the last 2. Pls its due in the morning!
19°
The unknown angle be x
x=59°(Exterior opposite angles..20:-
If unknown angle be x
[tex]\\ \sf\longmapsto x+76=180[/tex]
[tex]\\ \sf\longmapsto x=180-76[/tex]
[tex]\\ \sf\longmapsto x=104°[/tex]
Ceasar opens a bank account with an initial deposit of $1800.00 with an annual interest rate of 3.2%. What is the balance on the account after one year?
Answer:
$1857.60
Step-by-step explanation:
Ceasar's initial deposit will earn $57.60 in interest after one year (annual interest rate of 3.2%). When that is added to his deposit of $1800, Ceasar will have $1857.60 in the bank at the end of one year.
Answer:
Hi jaajajajajaja
Step-by-step explanation:
Hi Hi aaaaaaaaaaaaaaaaa
What is the result of the division?
4,060 ÷ 20 = ?
200 R3
203
230
233 R3
Answer:
it's answer is 203 ......
 A study found that healthy eating can help to cut the risk of heart disease. Therefore, a person can conclude that if they eat healthy they definitely will not have any heart issues.
True or false?
Answer:
False
Step-by-step explanation:
It only cuts the risk as stated and other factors such as lifestyle, age, bloodpressure and past medical background also have an impact so you can still have heart issues.
help me please it's important!!
Answer:
Does the answer help you?
Answer:
102 cm³
Step-by-step explanation:
Volume of R1:
length = 7 cm
Width = 3 cm
Height = 2 cm
Volume = 7* 3 * 2 = 42 cm³
Volume of R2:
length = 5 cm
Width = 4 cm
Height = 3 cm
Volume = 5 * 4 * 3= 60 cm³
Volume of the figure = 42 + 60 = 102 cm³
