Answer:
x²+y²-4y-46=0
Step-by-step explanation:
the equation of a circle is in the form (x - a)² + (y - b)² = r², where (a,b) is the center of the circle
the equation is (x - 0)² + (y - 2)² = r², where r is the radius. But r is the distance from (0,2) to (7,3)
the distance from two points is given by r² = (x₁ -x₂)² + (y₁ - y₂)²
r²= (0 - 7)² + (2 - 3)²
r² = 49 + 1 = 50
hence the equation is
(x)² + (y - 2)² = 50
x²+y²-4y+4 = 50
x²+y²-4y-46= 0
The equation X squared plus Y squared minus 2X plus 7Y +1 equals zero can be written as which of the following equations
For this case we must write in algebraic symbology the expression described above:
We have an equation, then:
x squared plus y squared: [tex]x ^ 2 + y ^ 2[/tex]minus 2x plus 7y plus 1: [tex]-2x + 7y + 1[/tex]equals zero: [tex]= 0[/tex]We construct the equation:
[tex]x ^ 2 + y ^ 2-2x + 7y + 1 = 0[/tex]
Answer:
[tex]x ^ 2 + y ^ 2-2x + 7y + 1 = 0[/tex]
I need help on this question
Answer:
your answer is b
Step-by-step explanation:
A potential buyer of the breed of snake known as a rattlesnake wishes to find the average weight and length of a full-grown reptile. Which of the following is an effective method of collecting a sample of the population?
A.) Measuring the weight and length of 200 rattlesnakes from across the United States
B.) Measuring the weight and length of all rattlesnakes in the United States
C.) Sending a questionnaire to breeders at the nationally recognized Snake Breeders Association of America and asking them for their expert opinion regarding the average weight and length of these snakes
D.) Measuring the weight and length of 10 rattlesnakes found at the local zoo
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Obviously it's impossible for anyone to measure the weight and length of all US rattlesnakes.
Thus, A is correct. 200 is not a large sample compared to millions or billions of rattlesnakes, but is still a lot more reasonable and workable than attempting to measure ALL US rattlesnakes.
I need helpppp pls!!
Answer:
y = -2x + 16
Step-by-step explanation:
A line perpendicular to y = (1/2)x - 6 would have a slope that is the negative reciprocal of 1/2, that is, a slope of -2. Here the given point is (h, k): (6, 4)
Applying the point-slope formula of the straight line,
y - k = m(x - h), where (h, k) is the point, we get:
y - 4 = -2(x - 6), or
y = 4 - 2x + 12, or
y = -2x + 16
Please help with math problem
Answer:
The general equation is 4x² + 4y² - 8 x + 19 y - 140 = 0
Step-by-step explanation:
* Lets revise the general form of the equation of the circle
- The general form : x² + y² + Dx + Ey + F = 0, where D, E, F are constants
- To find the values of D, E , F we must make three equations contains
D, E , F and solve them simultaneous
- We can do that if we have three points on the circle to substitute
x and y in the equation by them
* Now lets solve the problem
- There are three point on the circle (-5 , 0) , (0 , 4) , (2 , 4)
∵ The equation of the circle is x² + y² + Dx + Ey + F = 0
- Lets use the first point
∵ point (-5 , 0) lies on the circle
∴ (-5)² + (0)² + D(-5) + E(0) + F = 0 ⇒ simplify
∴ 25 - 5D + F = 0 ⇒ isolate F
∴ F = 5D - 25 ⇒ (1)
- Lets use the second point
∵ point (0 , 4) lies on the circle
∴ (0)² + (4)² + D(0) + E(4) + F = 0 ⇒ simplify
∴ 16 + 4E + F = 0 ⇒ substitute F form (1)
∴ 16 + 4E + 5D - 25 = 0
∴ 5D + 4E - 9 = 0 ⇒ add 9 to both sides
∴ 5D + 4E = 9 ⇒ (2)
- Lets use the third point
∵ point (2 , 4) lies on the circle
∴ (2)² + (4)² + D(2) + E(4) + F = 0 ⇒ simplify
∴ 4 + 16 + 2D + 4E + F = 0 ⇒ simplify
∴ 20 + 2D + 4E + F = 0 ⇒ substitute F form (1)
∴ 20 + 2D + 4E + 5D - 25 = 0 ⇒ simplify
∴ 7D + 4E - 5 = 0 ⇒ add 5 to both sides
∴ 7D + 4E = 5 ⇒ (3)
- Subtract (3) from (2) to eliminate E
∴ -2D = 4 ⇒ ÷ -2
∴ D = -2
- Substitute the value of D in (3) to find E
∴ 7(-2) + 4E = 5
∴ -14 + 4E = 5 ⇒ add 14 from both sides
∴ 4E = 19 ⇒ ÷ 4
∴ E = 19/4
- Substitute the value of D in (1) to find F
∴ F = 5(-2) - 25
∴ F = -10 - 25 = -35
∴ F = -35
* lets write the equation of the circle
∴ x² + y² - 2x + 19/4 y - 35 = 0 ⇒ × 4
∴ 4x² + 4y² - 8 x + 19 y - 140 = 0
* The general equation is 4x² + 4y² - 8 x + 19 y - 140 = 0
How many times larger than 3x10^2 is 12x10^6?
A)3.6x10^8
B)1.2x10^7
C)4x10^8
D)4x10^4
the answer is D you’re welcome
What is the answer to (7*x+9)*x+90
Answer:
7x² + 9x + 90Step-by-step explanation:
(7x + 9)x + 90 use the distributive property a(b + c) = ab + ac
= (7x)(x) + (9)(x) + 90
=7x² + 9x + 90
In 25 minutes, 300 customers entered the attraction. At this rate, how many customers would enter the attraction in 1 hour?
(Hint: you can set up a ratio to solve this).
Answer:
720 i would think.
Step-by-step explanation:
Jane left the school and started to bike along the road at a rate of 12 mph. Her friend Sally left the school 10 minutes after Jane, biking on the same road at a rate of 15 mph. How long will it take Sally to catch up with Jane?
Answer:
8 minutes if Jane was assumed to be stationary
Step-by-step explanation:
The question is on relative speed
First find the distance covered by Jane when Sally left school
Speed=Distance/Time ⇒⇒ Distance=Time×Speed
Time=10minute=10/60 hrs
Jane's speed= 12mph
Distance covered by Jane when Sally left school was= 12 ×10/60 = 2miles
So, when Sally left school, Jane was 2 miles away. To find the time Sally requires to catch up with Jane;
Time=Distance/speed
Time of meeting =2/15 hrs ⇒⇒ 2/15 × 60 =8minutes
How do i simplify this as much as possible
6(√a³b²c⁴)/9b√ac³
Answer: [tex]\frac{2a\sqrt{c}}{3}[/tex]
Step-by-step explanation:
Remember that:
[tex]\sqrt[n]{a^n}=a[/tex][tex]\sqrt{ab}=(\sqrt{a})(\sqrt{b})[/tex][tex](\sqrt{a})^2=a[/tex]The product of powers property establishes that: [tex](a^m)(a^n)=a^{(m+n)}[/tex]Given the expression [tex]\frac{6(\sqrt{a^3b^2c^4})}{9b\sqrt{ac^3} }[/tex]
You know that:
[tex]a^3=a^2*a\\c^3=c^2*c[/tex]
Then, you must rewrite the expression and simplify:
[tex]\frac{6\sqrt{a^2ab^2c^4}}{9b\sqrt{ac^2c} }=\frac{6abc^2\sqrt{a}}{9bc\sqrt{ac}}=\frac{2ac\sqrt{a}}{3(\sqrt{a})(\sqrt{c})}=\frac{2ac}{3\sqrt{c}}[/tex]
Multiply the numerator and the denominator by [tex]\sqrt{c}[/tex]:
[tex]\frac{(2ac)\sqrt{c})}{(3\sqrt{c})(\sqrt{c})}=\frac{2ac\sqrt{c}}{3(\sqrt{c})^2}=\frac{2ac\sqrt{c}}{3c}=\frac{2a\sqrt{c}}{3}[/tex]
Which of the following describe the sine function? Check all that apply.
Its range is all real numbers.
Its period is 2pi.
Its maximum is –1.
Its domain is all real numbers.
Its maximum is 1.
Answer:
Step-by-step explanation:
Its range is all real numbers. FALSE. Its range is [-1, 1].
Its period is 2pi. TRUE
Its maximum is –1. FALSE; -1 is its minimum.
Its domain is all real numbers. TRUE
Its maximum is 1. TRUE
The following describes a sine function:
Its period is 2pi.Its domain is all real numbersIts maximum is 1Meaning of a sine functionThe sine function is one out of the three basic functions we have in trignometry.
Sine theta in a right triangle is the ration of the opposite side of the triangle to its hypotenuse side.
The sine function is positive in the first two quadrants but negative in the other two.
In conclusion, the sine function can be described in so many ways but a few has been listed above.
Learn more about sine function : https://brainly.com/question/2491845
#SPJ2
There are 136 boys and 184 girls at wood middle school. There are 308 boys and 212 girls at Parker middle school. What is the ratio of students at wood middle school to students at Parker middle school?
to find the ratio of total students, you would have to add the boys and girls together
136 + 184 = 320 total students at wood middle school
308 + 212 = 520 total students at parker middle school
therefore, the ratio of students at wood middle school to students at parker middle school would be 320:520
ratio simplified) 8:13
Answer:
320:520 or 320 to 520 or 320/520
Step-by-step explanation:
1st step: add the two comparisons of numbers together,
= 136 + 184 = 320
2nd step: do the same with the second set of numbers,
= 308 + 212 = 520
3rd step:
Take both sums or total and put them in ratio form,
= 320 and 520
4th step: Rewrite in ration form (There are many ways of doing this, here are a few:)
320:520 or 320 to 520 or 320/520
Using elimination, find the ordered pair.
6x + 15y = 15
-6x +7y = -37
Answer:
x = -1 and y = 7/5Step-by-step explanation:
[tex]\underline{+\left\{\begin{array}{ccc}6x+15y=15\\-6x+7y=-37\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad22x=-22\qquad\text{divide both sides by 22}\\.\qquad\qquad x=-1\\\\\text{Put the value of x to the first equation:}\\6(-1)+15y=15\\-6+15y=15\qquad\text{add 6 to both sides}\\15y=21\qquad\text{divide both sides by 15}\\y=\dfrac{21}{15}\to y=\dfrac{7}{5}[/tex]
Sally drives from Turlock to Los Angeles at an average speed of 60 miles per hour. Turlock is approximately 300 miles from Los Angeles. Which of the following graphs could give Sally’s approximate distance d, in miles from Los Angeles, in terms of time t,in hours?
The graph representing Sally's distance from Los Angeles should depict a linear decrease from the point (0, 300) with a slope of -60. The line starts at 300 on the y-axis and consistently drops 60 units for every hour of travel time.
Explanation:To find which graph could represent Sally's distance from Los Angeles in terms of time, we first determine the equation for Sally's journey. Since Sally drives at an average speed of 60 miles per hour, the distance she has driven after t hours is given by the equation d = 300 - 60t, where 300 is the initial distance from Los Angeles, and 60t represents the distance traveled in t hours.
The graph of this equation would be a straight line starting at the point (0, 300) and decreasing with a slope of -60, which represents the rate at which Sally approaches Los Angeles. This line shows how Sally's distance from Los Angeles decreases over time at a constant rate.
Therefore, the appropriate graph should start at 300 on the y-axis and slope downwards to the right, crossing the y-axis at points that are 60 units lower for each additional hour on the x-axis. This will show a linear decrease in distance over time, which corresponds to Sally's constant speed of 60 miles per hour.
A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4 unit. How many 1/4 unit cubes does it take to fill the prism?
Answer:
128
Step-by-step explanation:
Method A.
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
Method B.
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
He right answer is 128
How many vertices does a square pyramid have
Answer:
5 vertices
Step-by-step explanation:
4 on the bottom and 1 on the top
Answer:
5
Step-by-step explanation:
What is the order from greatest to least: .625, 0.67, 1.2, and .6?
Answer:
Step-by-step explanation:
1.2,0.67,0.625,0.6
the answer is .6,.625,0.67,1.2
the rectangular prism is shown below the surface area of each faces label which values represent the dimensions in centimeters of the rectangular prism
A. 12, 18, 24
B. 3, 4, 8
C. 3, 4, 6
D. 2, 9, 12
A. 3, 4, 6
Step-by-step explanation:A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. On the other hand, a rectangular prism is a solid whose base is a rectangle. The surface area of a solid is the total area of its outer surface. For a rectangular prism, we have three characteristic sides, which are height, width and depth. If:
[tex]height=a \\ \\ width=b \\ \\ depth=c[/tex]
Then, from the figure below we have:
[tex](1) \ a\times b=24 \\ \\ (2) \ a\times c=18 \\ \\ (3) \ b\times c=12 \\ \\ \\ From \ 1 \ and \ 3: \\ \\ b=\frac{24}{a}=\frac{12}{c} \therefore 24c=12a \ (4) \\ \\ From \ 2: \\ \\ a=\frac{18}{c} \\ \\ 2 \ into \ 4: \\ \\ 24c=12\times \frac{18}{c} \therefore c^2=9 \therefore \boxed{c=3} \\ \\ \\ c \ into \ 2: \\ \\ a=\frac{18}{3} \therefore \boxed{a=6} \\ \\ \\ c \ into \ 3: \\ \\ b=\frac{12}{3} \therefore \boxed{b=4}[/tex]
Finally, the dimensions are:
3, 4 and 6 cm
janak is 2time younger than his father and 6 time younger than his sister and total age is 118.Find the age of janak.
Answer:
13
Step-by-step explanation:
In the question area!! lol
To find Janak's age, we set up an equation based on the information that his age is twice younger than his father's and six times younger than his sister's with their combined age totaling 118. Upon solving the algebraic equation, we find that Janak is approximately 13 years old.
We are given a problem where Janak is twice younger than his father and six times younger than his sister. The total age of Janak, his father, and his sister is 118 years. To solve for Janak's age, we will use algebra.
Let's assume Janak's age is J, his father's age will be 2J (twice Janak's age), and his sister's age will be 6J (six times Janak's age). We express the total age as the sum of their individual ages:
Janak's age = JFather's age = 2JSister's age = 6JThe equation that represents the total age is:
J + 2J + 6J = 118Combining the terms gives us:
9J = 118To find Janak's age, we divide both sides of the equation by 9:
J = 118 / 9After performing the division, we get:
J ≈ 13.11So, Janak is approximately 13 years old.
The rectangle below has an area of 121-x^2 square meters and a length of 11 - x meters. What expression represents the width of the rectangle?
Answer:
11+x
Step-by-step explanation:
Straight outta Khan
The width of the rectangle with an area of 121-x^2 square meters and a length of 11 - x meters is represented by the expression 11 + x meters.
Explanation:The area of a rectangle is the product of its length and width. In this case, the area is given as 121-x^2 square meters, while the length is given as 11 - x meters. To find the expression for the width, we divide the area by the length. Therefore, the width w can be represented by the following equation:
w = \(\frac{Area}{Length}\) = \(\frac{121-x^2}{11-x}\).
Due to the structure of the quadratic area (a perfect square difference) and the linear length (a factor of the quadratic), the equation simplifies to:
w = \(\frac{(11+x)(11-x)}{11-x}\).
Canceling out the common factor (11-x), we are left with:
w = 11 + x.
Thus, the expression representing the width of the rectangle is 11 + x meters.
19. When baking a cake, you have a choice of the following pans:
• a round cake pan that is 2 inches deep and has a 7 inch diameter
• a 6 inch x 9 inch rectangular cake pan that is 2 inches deep
Which of these pans has the larger volume? Justify your answer.
Answer:2
The second one because it is 108in and the first one is 47.6
Answer:
6 inch x 9 inch rectangular cake pan that is 2 inches deep
Step-by-step explanation:
6x9 is 54 x 2 is 108
the round has a volume of 28
Give the first four terms of the geometric sequence for which a1 = -7 and r= -4
Answer:
- 7, 28, - 112, 448
Step-by-step explanation:
To obtain the next term in a geometric sequence multiply the previous term by r
Given
a₁ = - 7 and r = - 4, then
a₂ = - 7 × - 4 = 28
a₃ = 28 × - 4 = - 112
a₄ = - 112 × - 4 = 448
The first four terms are - 7, 28, - 112, 448
What is the area of this tile?
12 in. ²
a = bh
a = 2 x 6
a = 12 in. ²
Answer:
12 in. ^2
Step-by-step explanation:
The area of a rectangle can be found by using the formula legnth x width.
Here the legnth is 2 in. and the width is 6 in.
6 x 2 = 12
Whenever you find the area, unit of measurement is ^2, thus resulting in the answer 12 in. ^2
I hope this helps!
If n is the number which equation could be used to solve for the number
Answer:
I think the answer is B which is the one you have selected.
Answer:
I think the answer is B.
What is the solution of the system y = 2x + 4 and y = 8x + 10
ANSWER
The solution is (-1,2)
EXPLANATION
The system is:
y = 2x + 4
and
y = 8x + 10
Equate the two:
2x + 4 =8x + 10
Group similar terms:
8x-2x=4-10
Combine similar terms,
6x=-6
Divide both sides by 6.
x=-1
This implies that ,
y=2(-1)+4
y=2
The solution is (-1,2)
Answer:
x=-1
Step-by-step explanation:
y=2x+4
y=8x+10
y is = to both so use them together...
2x+4=8x+10
solve...
-2x both sides
4=6x+10
-10 both sides
-6=6x
divide by 6 both sides
x=-1
A line passes through the point (-7,5) And has a slope of 1/2 which is another point that the line passes through
(9,13) would be another point that the line passes through.
Answer: 9/13 C
Step-by-step explanation:
On Saturday,April 5th, Sena the baby giraffe was born at the Fresno Chaffee Zoo. At birth, she weighed 125 pounds. If she gained 96 ounces one week after her birth, how many pounds would she weigh all together at the end of her first week?
131 because u divide 96 and 16 and get 6 then add that to 125
Shelby’s recipe says to add 3/4 cup of brown sugar and 1/8 cup of white sugar how much sugar recipe call for altogether
Answer:you need common denominatord 4*2=8 3*2=6 6/8+1/8=7/8 of sugar
Step-by-step explanation:
Brainliest + Points!
Explain please
What is the frequency of the musical note middle C if its period is 0.0038?
A.
224.42 hertz
B.
263.16 hertz
C.
281.74 hertz
D.
302.49 hertz
Answer:B
Step-by-step explanation:
Answer: B. 263.16 hertz
Step-by-step explanation:
We are given the time period of a musical note T= 0.0038 seconds.
Since ,we know that the frequency is given by the reciprocal value of the time period.
Therefore, the frequency of the musical note middle is given by :-
[tex]\nu=\dfrac{1}{T}\\\\\Rightararow\nu=\dfrac{1}{0.0038}\\\\\Rightararow\nu=263.157894737\approx263.16\ Hz[/tex]
Hence, the frequency of the musical note middle C = 263.16 Hertz
evaluate c÷d÷[-1/6] if c=103
Answer:
-618/d
Step-by-step explanation:
103 divided by d is 103/d and that divided by -1/6 is -618/d