Answer:
(x - 9)² + (y - 7)² = 262
Step-by-step explanation:
x² + y² - 18x - 14y - 132 = 0
Rearranging the equation:
y² - 14y + x² - 18x - 132 = 0
add 132 to both sides:
y² -14y + x² - 18x - 132 + 132 = 0 + 132
y² -14y + x² - 18x = 132
add to both sides the square of half of the coefficient of y (i.e (14/2)² = 49)
y² -14y + 49 + x² - 18x = 132 + 49
add to both sides the square of half of the coefficient of x (i.e (18/2)² = 81)
y² -14y + 49 + x² - 18x + 81 = 132 + 49 + 81
y² -14y + 49 - x² - 18x - 81 = 262
y² - 7y - 7y + 49 + x² - 9x - 9x - 81 = 262
y(y - 7) - 7(y - 7) + x (x - 9) -9(x - 9) = 262
(y - 7)(y - 7) + (x - 9)(x - 9) = 262
(y - 7)²+ (x - 9)² = 262
(x - 9)² + (y - 7)² = 262
HELP MATH!
You have a frame that holds three pictures. You pulled out your favorite five photos. How many sets of three are there?
Make a list of all the possible combinations using the numbers 1 to 5 to represent the photos.
Answer:
theres 1 set of 3
Step-by-step explanation:
Need help with this pls
(Show work pls!!)
Answer:
Given below
Step-by-step explanation:
M is Mikey and B is Betty in,
Current ages:
M= x
B= 3x (cuz she is 3 times older)
After 5 years
M= x+5
B= 3x+5 (5 years added to present age)
It says the ages of Betty after 5 years (3x+5) will be twice as much as Mikey (2(X+5))
So,
3x+5 = 2(x+5)
3x+5 = 2x+10
3x -2x = 10-5
x = 5
Therefore,
The current ages are
Betty : 3x = 3*5 = 15
Mikey: 5 (x)
You can verify by checking with the criterias or clues given in the question.. hope this helps..mark as brainiest if this was helpful:)
Answer: The current ages are
Betty : 3x = 3*5 = 15
Mikey: 5 (x)
Step-by-step explanation:
Hoped this helped
I need help on this.
Answer:
Option 4
Step-by-step explanation:
Thank me later
Answer:
three hundred fourteen thousandths3 x (1/10) + 14 x (1/1000)Step-by-step explanation:
In written form:
three hundred fourteen thousandths
In standard form:
0.314
In expanded form:
3 x (1/10) + 14 x (1/1000)
3 x (1/10) = .3
14 x (1/1000) = .014
.3 + .014 = .314
Therefore, these are the two correct answer choices.
I need help on this.
Answer
He made a mistake on the First step I think
Step-by-step explanation:
1st one
Answer:
First mistake appears in First Step
Step-by-step explanation:
First mistake appears in First Step, within the parenthesis need to solve division first.
2 + 5 x (4 + 18 ÷ 6)
Step 1 should be 18 ÷ 6
2 + 5 x ( 4 + 3 )
Step 2 is 4 + 3
2 + 5 x 7
Step 3 is 5 x 7
2 + 35
Step 4 is 2 + 35
Answer 37
The solution of g+h≤11 is g≤4. What is the value of h?
Answer:
H≤7
Step-by-step explanation:
Answer only. What is the greatest possible sum of the digits of a six-digit number that is a multiple of 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11?
Answer: 36
The LCM of 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11 is 2 × 3 × 2 × 5 × 7 × 2 × 3 × 11 = 27720.
A multiple of 27720 will end in 0, and the sum of its digits will be a multiple of 9.
The largest 6-digit number which is multiple of 9 with last digit of 0 is 999990, and the sum of its digits is 45. 45 is not a multiple of 27720, and there is no other way to get a digit sum of 45.
We now look at the next biggest multiple of 9, 9 × 4
= 36.
The largest 6-digit multiple of 27720 is 27720 × 36 = 997920, and the sum of its digits is 36.
will mark bianleast plz i really did this
What is the scale factor for the similar figures?
1/6
1/3
2/3
3
Answer:
1/3
Step-by-step explanation:
Scale factor = 4/12 = 1/3
Suppose that the mean number of chocolate chips in 30 cookies is 19 chocolate chips. Explain what this means.
Answer: It means that there are 570 chocolate chips in all the 30 cookies
Step-by-step explanation:
The mean also referred to as the average of a data set is calculated by adding all numbers in a data set and dividing by number of values in the set.
Since the mean number of chocolate chips in 30 cookies is 19 chocolate chips, this means that there are:
= (30 × 19) = 570 chocolate chips in the cookies.
solution of the equation
3x/5+1=4x/15+7
Answer:
x = 18
Step-by-step explanation:
Given
[tex]\frac{3x}{5}[/tex] + 1 = [tex]\frac{4x}{15}[/tex] + 7 ( subtract 1 from both sides )
[tex]\frac{3x}{5}[/tex] = [tex]\frac{4x}{15}[/tex] + 6
Multiply through by 15 to clear the fractions
9x = 4x + 90 ( subtract 4x from both sides )
5x = 90 ( divide both sides by 5 )
x = 18
Simplify the expression completely. 7b+3(4b−2)+6÷3
Answer:
19b-4
Step-by-step explanation:
7b+3(4b-2)+6÷3
Bracket comes first so we distribute 3 over the terms in the bracket
= 7b + 12b -6 +6 ÷ 3
First we solve division
= 7b + 12b -6 +6 ÷ 3
= 7b + 12b -6 +2
= (7b+12b)+(-6+2)
= 19b -4
This can't be simplified further as it can't be solved anymore
Answer:
19b - 4
Step-by-step explanation:
Distribute the 3 to (4b - 2), like so:
3(4b - 2)
12b - 6
→ 7b + 12b - 6 +6 ÷ 3
Add like terms:
→19b - 6 + 6 ÷ 3
Following PEMDAS, you divide 6 by 3 first:
→19b - 6 + 2
Add like terms:
→19b - 4
determine whether it is a solution to 2+3x≥8
What is the earned income credit (EIC)?
А. a nonrefundable tax credit designed for those who pay for dependent care while at work
B.a refundable tax credit designed for those who pay for dependent care while at work
C. a nonrefundable tax credit designed for those with low to moderate income from working
D. a refundable tax credit designed for those with low to moderate income from working
Answer:
D
Step-by-step explanation:
The United States federal earned income tax credit or earned income credit is a refundable tax credit for low- to moderate-income working individuals and couples, particularly those with children.
What is the value of k?
k = 28
k= 29
k= 31
(5k - 3)°/(9 + k)°
k = 42
Answer:
k=29
Step-by-step explanation:
(5K-3)+(9+k)=180
6k+6=180 add like numbers
6x=174 subtract 6 from 180
x=29 divide by 6
The solution is : k=29, is the value of k.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
Here, we have,
from the given diagram, we get,
(5K-3)+(9+k)=180
6k+6=180 [add like numbers]
6x=174 [ subtract 6 from 180]
x=29 [ divide by 6]
Hence, The solution is : k=29, is the value of k.
To earn more on addition click:
brainly.com/question/29560851
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Rename 3/4 and 9/10 using the least common denominator.
Answer:
15/20 and 18/20
Step-by-step explanation:
Least common denomintor of 3/4 and 9/10 = least common multiple of 4 and 10
multiples of 4: 4, 8, 12, 16, 20
multiples of 10: 10, 20
Least common denominator = 20
Rewrite fractions: 15/20 and 18/20
3/4 and 9/10 using the least common denominator is 15/20 and 18/20.
What is LCM?LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.
Given, are two fractions 3/4 and 9/10 we know the LCM of 4 and 10 is 20.
∴ (3×5)/(4×5) and (9×2)/(10×2). (we have to multiply same constant to the
fraction to retain it's original value).
So, 3/4 and 9/10 using the least common denominator is 15/20 and 18/20.
learn more about LCM here :
https://brainly.com/question/20739723
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A ball is dropped from the top of a building that is 1,000 feet high. Its height, in feet, as a function of the
time, x, in seconds, after the ball was dropped, is given by the following equation, f(x) = 1,000 - 16x2.
Which set of numbers is appropriate as the domain for this function?
Positive Integers
Positive Real Numbers
Natural Numbers
Positive Rational Numbers
Answer:
Positive real numbers
Step-by-step explanation:
The time is not limited to rational numbers or integers. Natural numbers are a subset of integers. So the domain is positive real numbers.
An equation of the line of best fit for a data set is y=0.54x+3.04. Describe what happens to the line of best fit when each y-value in the data set is doubled.
Answer:
The slope decreases and the y-intercept decreases.
Explanation:
Red is original, blue is when y is doubled.
I need help to solve this proportion
Answer:
5
Step-by-step explanation:
cross multiply
isolate x
12x=7.5(8)
12x=60
12x/12=60/12
5 is the answer
Mike can plow a field in 12 hours and his brother Phil can plow it in 15 hours. How long will it take them to plow it if they use two plows and work together?
Answer:
6.66 hours, that is, 6 hours and 40 minutes.
Step-by-step explanation:
If Mike can plow a field in 12 hours, we plows 1/12 of the field each hour.
If Phil can plow a field in 15 hours, we plows 1/15 of the field each hour.
So if they are working together, they can plow (1/12) + (1/15) of the field each hour, that is:
(1/12) + (1/15) = (5 + 4) / 60 = 9 / 60 = 3 / 20 = 1 / 6.66
So if they work together, they can plow the field in 6.66 hours, that is, 6 hours and 40 minutes.
Help!!! I need to get help asap
Answer:
C
Step-by-step explanation:
Because the x line is for degrees C and the y is for Degrees F and the y intercept is where C is at 0 and F is at 32 making it the temp in F when C is at 0 degrees
Jose sells portraits for $300 each. Each portrait costs him $150 in supplies and he spends $2,100 per year on fixed costs. Last year Jose sold 140 portraits. He believes that he made more than $20,000 in profit. Is this true? WILL GIVE BRAINLIEST PLEASE HELP! a) Write an expression to represent José's yearly profit. Use x to represent the number of portraits sold. b) Simplify the expression from Part I. Then, evaluate the expression for the 140 portraits José sold last year to determine if he actually made $20,000 dollars in profit. Write your answer as a complete sentence.
Answer:
a) y=(300-150)x-2100
b) y=150x-2100
c) y=150(140)-2100
y=18900
Jose was wrong. He did not make 20000 dollars last year.
Answer:
A: ((300-150) * 140) - 2100
B: 21000-2100= $18,900 profit.
Jose made 18,900 dollars worth of profit. He did not make $20,000 worth of profit.
find a_(1) if d = 2.5, a_(15) = 33.5, S_(15 )= 240
Answer:
Value of d is 20.
I hope it will help you.
Step-by-step explanation:
Answer:
[tex]a_{1}=-19[/tex]
Step-by-step explanation:
It is sum of arithmetic progression again.
[tex]$S_{15}=\frac{15}{2} [2a_{1}+(15-1)\cdot 2.5]$[/tex]
[tex]$240=\frac{15}{2} [2a_{1}+35]$[/tex]
[tex]$240=15a_{1}+535$[/tex]
[tex]-285=15a_{1}[/tex]
[tex]a_{1}=-19[/tex]
For which x is f(x)?=_3
-7
-4
4
5
James's T-shirt business uses the demand function P= -Q+31 and the
supply function P= Q- 17. According to these functions, what will the
equilibrium point (P, Q) be for James's T-shirt business?
Answer:
Step-by-step explanation:
7,24
Find (3m^2n)^3 show work
The right answer is 3m^6n^3
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex] = 27 {m}^{6} {n}^{3} [/tex]
Step-by-step explanation:
[tex](3 {m}^{2} n)^{3} \\ {3}^{3} \times {m}^{2 \times 3} {n}^{3} \\ = 27 {m}^{6} {n}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
2 Points
Which type of statement has the form "If A, then B"?
O A. True
OB. Conditional
O C. Deductive
O D. False
SUBMIT
This is a conditional: if the condition A is satisfied (true), then the result B is also satisfied (true).
Answer:
Its conditional , as the A decides what B has to do , whether this or that
The graph shown here is the graph of which of the following rational
functions?
Answer:
B
Step-by-step explanation:
From the graph you see point (1, -2) is on f(x)
So substitute x = 1 and the resuult should be -2.
The only function that is valid, is function B.
My question is a complex numbers question: square root -6 times square root -24 the answer is -12, but I don't know how to solve it
Answer:
see below
Step-by-step explanation:
sqrt( -6) * sqrt(-24)
We know that sqrt(a b) = sqrt(a) sqrt(b)
sqrt(6) sqrt(-1) * sqrt(24) sqrt(-1)
We know that sqrt(-1) = i
sqrt(6) i * sqrt(24) i
We know that sqrt(a) sqrt(b) = sqrt(ab)
sqrt(6*24) i*i
sqrt(144) i^2
12 i^2
We know that i^2 = -1
12 (-1)
-12
will give brainliest plz helpp!!!
There is two parts part a and part B please answer both Thank you
Answer:
The answer too your question is C. to your first part
To the second part D. is one of the answers so is E.,
Step-by-step explanation:
It is C. because there are three ones, one 4, one 3, and one 2. that is the explanation too the first part.
given 4x+6/2=9 prove x=3
Steps:
Step 1: Simplify both sides of the equation.
4x+3=9
Step 2: Subtract 3 from both sides.
4x+3−3=9−3
4x=6
Step 3: Divide both sides by 4.
4x /4 = 6 /4
Answer: x= 3/2
Please mark brainliest
Hope this helps.
Answer:
4(3)+6/2=9
12+3[tex]\neq[/tex]9
4x+6/2=9
4x=6
x=3/2
Step-by-step explanation:
Simplify and solve this equation for q 3q+5+2q-5+65
Answer:
5q +65
Step-by-step explanation:
3q+5+2q-5+65
We can only simplify since there is no equals sign
Combine like terms
5q +65
Answer:
55
Step-by-step explanation:
3q+5+2q-5+65
-2q -2q
q+5-5+65
+5 +5
q+10+65
-10 -10
q+55
q=55
