Responder:
1) x² + y²-8x + 10y + 16 = 0
2) x² + y² + x + 18y + 33 = 0
Explicación paso a paso:
A partir de la pregunta, debemos expresar la ecuación en la forma estándar de un círculo expresado como;
x² + y² + 2gx + 2fy + c = 0 donde;
(-g, -f) es el centro.
1) Para la ecuación (x-4) ² + (y + 5) ² = 25
Expande el paréntesis;
(x-4) ² + (y + 5) ² = 25
x²-8x + 16 + y² + 10x + 25 = 25
x²-8x + 16 + y² + 10y + 25-25 = 0
Recopile términos similares;
x² + y²-8x + 10y + 16 + 0 = 0
x² + y²-8x + 10y + 16 = 0
Por lo tanto, la ecuación requerida es x² + y²-8x + 10y + 16 = 0
2) Para la expresión (x + 1) ² + (y + 9) ² = 49
x² + x + 1 + y² + 18y + 81 = 49
x² + x + 1 + y² + 18y + 81-49 = 0
Recopile términos similares;
x² + y² + x + 18y + 82-49 = 0
x² + y² + x + 18y + 33 = 0
Por tanto, la ecuación requerida es x² + y² + x + 18y + 33 = 0
A team of 5 runners competed in a relay race. Each runner had to run 730 yards. How long was the race? (ANSWER IF YOU KNOW AND HOW YOU GOT THE ANSWER)
Answer:
3650 yds
Step-by-step explanation:
Take the length that each person ran and multiply by the number of runners
5 * 730yds
3650 yds
Answer:
length that was ran along = length the first racer runs
= 1×730
= 730 yards
how do i turn x+y=24 into slope intercept form
Answer:
y=-x+24
Step-by-step explanation:
Answer:
y=-x +24
ithink
Step-by-step explanation:
Sean answered 18 of 20 quiz questions correctly. What percent of the quiz questions did Sean answer correctly?
Answer:
90%
Step-by-step explanation:
18 divided by 20 = .9 witch means 90% of 1
Which set of transformations would generate the image of AABC with the coordinates
A'(-2,-5), B'(-2,-2), C'(-6, -2) ?
tot
Y
A: a reflection over the x-axis followed by a translation
4 units to the left
TA
B: a reflection over the x-axis followed by a rotation of
180° about the origin
B В
c
C: a reflection over the y-axis followed by a translation
10 units down
0
10
D: a reflection over the y-axis followed by a reflection
over the x-axis
Answer: I think it's a relflection over x-axis followed by a rotation of 180 degrees which is b
Step-by-step explanation:
The transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin
What are the types of translations?There are three types of translations -
reflectionrotationdilationGiven is to find the set of transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2).
The transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin.
Therefore, the transformations would generate the image of ΔABC with the coordinates A'(-2,-5), B'(-2,-2), C'(-6, -2) is a reflection over the x-axis followed by a rotation of 180° about the origin.
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Read the word problem below.
Antonio has a total of 55 marbles. He has 15 green marbles and 12 red marbles. The rest of the marbles are blue. How many blue marbles does he have?
A student solves this problem by writing an equation. Which strategy could help check the student’s answer?
Check that the sum of the final answer, 12, and 15 is 55.
Check that the difference of 55 and the final answer is 12.
Check that the sum of the final answer, 27, and 15 is 55.
Check that the difference of 55 and the final answer is 15.
This is just built different. Thank you so much if you can figure it out!!!!!
Step-by-step explanation:
I dont know how to choose the answer but I will give my own opinion..
total marble=55
green=15
red=12
blue=?
so: 55-12+15
blue=55-27
so blue =28..
sorry if it is wrong
Answer:
A
Step-by-step explanation:
A volunteer group is planting trees at 6 different parks. They planted 70 trees at each park.
How many trees did the group plant in all?
Answer:
420 trees
Step-by-step explanation:
6 volunteers × 70 trees planted by each = 420 trees planted in total.
20 points! What is the solution to the system of equations?
6x +2y = 6
7x +3y = 5
A. (-3 , 2)
B. (-1 , 6)
C. (2 , -3)
D. (6 , -1)
Answer:
C
Step-by-step explanation:
i used the substitution method to find it out
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-9,2); m = 6
The equation of the line is
(Simplify your answer. Type your answer in point-slope form.)
Answer:
y - 2 = 6(x + 9)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (-9, 2)
Slope m = 6
Step 2: Write Function
Substitute variables into the general form.
y - 2 = 6(x + 9)
Help please I'm crying over this problem I'm so cnfused
Answer:
D
Step-by-step explanation:
Since we start with 10,080 gallons after 0 minutes pass, we see the next point. Luckily, we are given an exact point of a number between 10,080 and 8640. The difference of those two numbers is 1440, and divide that by 2 to get 720. So we drain 720 per hour. HOWEVER, it says "minutes", so we divide 720 by 60 (hour -> minutes) to get 12.
*The reason I divided by 2 was to get the number of gallons after 1 hour passes*
Answer:
D. water is draining at a rate of 12gal/min
hope this helps
Step-by-step explanation:
Use the tool to explore the side lengths and angle measures of the three triangles.
Select the triangles that are congruent. Check all that apply.
triangle XYZ
triangle DEF
triangle QRP
Answer:
the answers are A and C
Step-by-step explanation:
edge 2020
None of the triangles are congruent to each other.
What is triangle?A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
Given figures,
Measuring with scale and protractor
In triangle XYZ
Length of XY = 2.5 cm
Length of YZ = 2.1 cm
Length of ZX = 1.8 cm
∠X = 58°
∠Y = 45°
∠Z = 77°
In triangle DEF
Length of DE = 2.8 cm
Length of EF = 1.9 cm
Length of FD = 2.6 cm
∠D = 42°
∠E = 63°
∠F = 75°
In triangle PQR
Length of PQ = 1.9 cm
Length of QR = 2.5 cm
Length of RP = 2.1 cm
∠P = 74°
∠Q = 57°
∠R = 49°
Hence, none of the triangles are congruent.
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Write 6 1/2% as a decimal. WILL MARK BRAINLIEST IF CORRECT!
Answer:
6.50
Step-by-step explanation:
To start off, note that 6 1/2 is a mixed number, also known as a mixed fraction. It has a whole number and a fractional number. We have labeled the parts of the mixed number below so it is easier to follow along.
6 = Whole number
1 = Numerator
2 = Denominator
To get 6 1/2 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.
Here are the detailed math steps we use to convert 6 1/2 mixed number to decimal form:
Step 1: Multiply the whole number by the denominator:
6 × 2 = 12
Step 2: Add the product you got in Step 1 to the numerator:
12 + 1 = 13
Step 3: Divide the sum from Step 2 by the denominator:
13 ÷ 2 = 6.5
That's it! The answer to 6 1/2 in decimal form is displayed below:
6 1/2 = 6.50
Hope this helps
U3LT8
Factor completely
11) 18x2 – 3x -6
I
ULT9
Solve by factoring
12) 2-8n=0
The base diameter and the height of a cone are both
equal toX units.
Which expression represents the volume of the cone, in
cubic units?
Answer:
1/12πx³
Step-by-step explanation:
Given that :
Base diameter = x
Height, (h) = x
Volume of a cone (V) :
1/3 πr²h
Where r = radius = diameter / 2 = x/2
Hence,
V = 1/3 * π * (x/2)² * x
V = 1/3 * π * x²/4 * x
V = 1/12 * π * x³
V = 1/12πx³
Tim is dividing up a 2 ½ pound bag of nuts into smaller portions.
a. How many ¼ pound bags of nuts can be made from a
2 ½ pound bag of nuts?
b. How many ½ pound bags of nuts can be made from a
2 ½ pound bag of nuts?
c. How many ¾ pound bags of nuts can be made from a
2 ½ pound bag of nuts?
9514 1404 393
Answer:
a. 10
b. 5
c. 3 with 1/4 pound left over
Step-by-step explanation:
You can find the number of 1/4 pound bags by dividing 2 1/2 pounds by 1/4 pound. In decimal, this is obvious:
2.5/0.25 = 10
Using fractions, it is ...
(2 1/2)/(1/4) = (5/2)/(1/4) = (10/4)/(1/4) = 10/1 = 10
__
a) Tim can make 10 1/4-pound bags from 2 1/2 pounds.
__
b) It is worthwhile to note that a 1/2-pound bag is equivalent to two 1/4-pound bags. So, the number of 1/2-pound bags will be 10/2 = 5.
Tim can make 5 1/2-pound bags from 2 1/2 pounds.
__
c) It is worthwhile to note that a 3/4-pound bag is equivalent to three 1/4-pound bags. So, the number of 3/4-pound bags will be 10/3 = 3 1/3.
Tim can make 3 3/4-pound bags from 2 1/2 pounds, with 1/4 pound left over.
Find C.
Round to the nearest tenth.
90 ft
55 ft
A
В
50 ft
C = [? ]°
YLaw of Cosines: c2 = a+ b2 - 2ab cos C
9514 1404 393
Answer:
29.4°
Step-by-step explanation:
The equation can be rearranged to give C directly.
C = arccos((a^2 +b^2 -c^2)/(2ab))
C = arccos((90^2 +55^2 -50^2)/(2·90·55))
C = arccos(8625/9900) ≈ 29.4002°
C ≈ 29.4°
the following box plot shows the number of hours students have spent of math this week. what information can you get from this?
a. the median number of hours spent on Math was about 2.9
b. the mean number of hours spent on Math was about 3.4
c. No students spent less than 2.27 hours on Math
d. All students spent between 2.27 and 4.54 hours on math
Answer:
A. the median number of hours spent on Math was about 2.9
Step-by-step explanation:
The least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.
The median number of hours spent on Math was about 2.9. Therefore, option A is the correct answer.
The given box plot shows the number of hours students have spent on math this week.
How to find the median in the box plot?The far left of the chart (at the end of the left “whisker”) is the minimum (the smallest number in the set) and the far right is the maximum (the largest number in the set). Finally, the median is represented by a vertical bar in the centre of the box.
Here, in the given box plot we can see the least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.
The vertical line represents the median, which is 2.9.
Therefore, option A is the correct answer.
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PLSSSSS HELPPPPP ASAPPPP
Answer:
wait hold on how much money does she have in total?
Step-by-step explanation:
Answer:
20 < x < 50
Step-by-step explanation:
The least she will buy is 4, so multiply that by 5 to get 20.
The most she will buy is 10, so multiply that by 5 to get 50.
So:
20 < x <50
tan45÷tan45= 1 then what is the answer
Answer:
What is your question? You just gave a balanced equation.
PLLZZ HELP ASAP 10 POINTS! :( its math and plz do both <3 ):
Answer:
8(x-6) at x=-1 is -56 & 2a² - 2a - 15 at a =13 is 297
Step-by-step explanation:
sub x = -1 into 8(x-6) which becomes 8(-1-6) which is equal to 8 x -7 = -56
Sub a = 13 into 2a²-2a-15 = 2(13²) - 2(13) - 15 = 338 - 26 - 15 = 297
What is the value of 4x?
21 + 4x = 61
Answer:
x= 10 bc 4×10 equals 40 +21 equals 61
Kaitlyn's older brother borrowed money for school he took out a loan that charges 6% simple interest he will end up paying 720 and interest after 6 years how much is Kaitlyn's brother borrow for school?
Answer:
529.41
Step-by-step explanation:
From the above question, we are to find the Principal
The formula to find the Principal (Initial amount invested) is =
P = A / (1 + rt)
Where
A = Amount paid after t years. = 720
r = rate of interest = 6% = 0.06
t = time in years = 6
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year.
Solving our equation:
P = 720 / ( 1 + (0.06 × 6)) = 529.41176470588
Approximately
P = 529.41
Therefore, Kaitlyn's brother borrowed 529.41 for school
i need help someone please
9514 1404 393
Explanation:
General information
All of these questions have to do with various translations of the square root function. The first problem deals with the basic function. Other problems translate the graph in various ways.
The basic square root function has its vertex at (0, 0) and is defined for x-values (domain) that are 0 or positive. The resulting y-values (range) are also zero or positive.
The basic function intercepts the x- and y-axes only at the point (0, 0), so both intercepts are 0. Unless the function is reflected vertically or horizontally, its minimum will be at the left end of any interval, and its maximum will be at the right end.
The transformation of a function g(x) to f(x) = g(x -a) +b causes it to be translated 'a' units to the right and 'b' units up. For the functions here, that means the vertex is translated from (0, 0) to (a, b). For the functions here, the vertex values are the limits of the domain and range, so those will be altered accordingly.
Problems
1.
a) The graph is shown in the attachment as f1 (orange).
b) vertex: (0, 0); domain: [0, ∞); range: [0, ∞)
c) x-intercept: 0; y-intercept: 0
d) On the interval [1, 4], the minimum is √1 = 1, and the maximum is √4 = 2.
__
2.
a) The graph is shown in the attachment as f2 (green). The basic function is translated left 1 and down 2.
b) vertex: (-1, -2); domain: [-1, ∞); range: [-2, ∞)
c) x-intercept: 3; y-intercept: -1 (read from the graph)
d) On the interval, [0.5, 5], the minimum is √1.5 -2 ≈ -0.78; the maximum is √6 -2 ≈ 0.45. Min and max values are shown in the table in the second attachment.
__
3.
a) The graph is shown in the attachment as f3 (purple). The basic function is translated up 3.
b) vertex: (0, 3); domain: [0, ∞); range: [3, ∞)
c) x-intercept: (none); y-intercept: 3 (the vertex)
d) On the interval, [2, 4], the minimum is √2 +3 ≈ 4.41; the maximum is √4 +3 ≈ 5. Min and max values are shown in the table in the third attachment.
__
4.
a) The graph is shown in the attachment as f4 (red). The leading multiplier of -2 causes the graph to be reflected over the x-axis and vertically expanded by a factor of 2 before being translated right 2 and up 3.
b) vertex: (2, 3); domain: [2, ∞); range: (-∞, 3]. Note the range is all y-values less than or equal to 3 because of the vertical reflection.
c) x-intercept: 4.25; y-intercept: (none). The x-intercept is found by solving ...
0 = -2√(x -2) +3
(-3/-2)² = x-2
2 +2.25 = x = 4.25
d) On the interval, [4, 7], the minimum is -2√(7 -2)+3 = 3-2√5 ≈ -1.47; the maximum is -2√(4-2)+3 = 3-2√2 ≈ 0.17. Min and max values are shown in the table in the second attachment.
I need help ASAP!
A milk truck delivers 357 dozen gallons of milk to stores in 1 day. Write and solve an equation to find n, the number of gallons of milk the milk truck delivers in 1 day.
Answer:
357÷12
Step-by-step explanation:
You need to figure out how many are in one so you would have to divide it by 12 to get your answer.
Maria charges $15 for every 2 hours that she babysits. How much would Maria charge for working for 4 hours
Answer:
$30
Step-by-step explanation:
Multiply 15 by 2 because 4 hours is twice as much as 2 hours.
Answer:
30
Explanation:
Hope it helps!
The average a of two numbers c and d is equal to half the sum of c and d.
Answer:
[tex] \frac{c + d}{2} = \frac{c + d}{2} [/tex]
The required average of the two numbers c and d is a = [c + d] / 2.
To determine the average an of two numbers c and d.
What is average?The average of the values is the ratio of the total sum of values to the number of values.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Since, from the above definition,
Average = sum of the number / total number
We have c and d, two numbers
Now sum = c + d
Total number = 2
Average = [ c + d ] / 2
Thus, the required average of the two numbers c and d is a = [c + d] / 2.
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Let x = 2.
Evaluate the expression.
[tex]\frac{x+4}{3x}[/tex]
Answer:
1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
(x + 4)/(3x)
x = 2
Step 2: Evaluate
Substitute in x: (2 + 4)/(3(2))Add: 6/(3(2))Multiply: 6/6Divide: 1an interior design working with a computer program decreases the radius of a circular rug by 10%. By what percent does the area of the circular rug decrease?
Please give an explanation on how to solve this problem, thanks!
Answer:
The decrease is 21%
Step-by-step explanation:
So lets say the Original area is Pi X (Radius^2)
Lets call Radius as R
For the new radius, it would be: R + 0.1R which is 1.1R
The new area is: Pi X 1.1R^2, which going further is 1.21 after squaring 1.1.
The Original area is: Pi X Radius^2
To find the percent decrease, subtract the new area by the original, cross out Pi X Radius squared and you are only left with 21%
I am in middle school so I don't know if it is going to be incorrect, but I ask you to give it a try and tell me if it was right or not. I have barely done this topic but recently I had a bonus homework question on a question almost exactly like this and this is the way I did it and I was correct. Thanks! Hope it helped! :)
Answer:
19%
Step-by-step explanation:
I got it correct in the rsm
CAN SOMEONE PLEASE HELP ME OUT WITH THIS I NEED 3 AND4
Answer:
3. missing angle is 35°
M＝cos∧-1(5/7.8)＝50.13°
N＝180°-90°-50.13°＝39.87°
\dfrac{-2}{3} \div 2\dfrac{1}{4} =
3
−2
÷2
4
1
Answer:
[tex]\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}[/tex]
Step-by-step explanation:
Given
[tex]\dfrac{-2}{3} \div 2\dfrac{1}{4} =[/tex]
Required
Solve
Start by converting the mixed number to improper fraction
[tex]\dfrac{-2}{3} \div \dfrac{9}{4} =[/tex]
Convert the division to muliplication
[tex]\dfrac{-2}{3} * \dfrac{4}{9} =[/tex]
[tex]\dfrac{-2*4}{3*9}=[/tex]
[tex]\dfrac{-8}{27}[/tex]
Hence:
[tex]\dfrac{-2}{3} \div 2\dfrac{1}{4} = \dfrac{-8}{27}[/tex]
WILL GIVE BRAINLIEST PLEASE HELP
Line A goes through (-6. 7) and has a y-intercept of -3. Line B is perpendicular to Line A and goes
through (-8,3). Write an equation in slope-intercept form for Line B.
this is for a study guide(not graded) thanks!
You can't find slope intercept form because it is perpendicular so the equation is x= -8