7.find the equation of a circle with one of the diameters x+2y+8=0and passing through the intersection of a circle x²+y²+2=0 and x²+y²-3y=0.
ans:
[tex]\bold=4x²+4y²+22x+21y=0.}[/tex]
Answers
Answer:
See belowStep-by-step explanation:
Find the intersection of circles
x² + y² + 2x = 0 and x² + y² - 3y = 0Subtract the equations to find:
2x = -3y ⇒ y = -2/3xBy substitution find the points:
(0, 0) and (-1.385, 0.923)Find midpoint between these two points:
x = (0- 1.385)/2 = -0.6925 , y = (0 + 0.923)/2 = 0.4615Find perpendicular bisector passing through this point:
y - 0.4615 = 3/2(x + 0.6925)y = 1.5x + 0.4615 + 1.5(0.6925)y = 1.5x + 1.50025Find intersection of the lines, it is the center:
y = 1.5x + 1.50025x + 2y + 8 = 0Solving we get:
x = -2,75, y = -2.625Find radius, the distance from center to point (0, 0) and get equation of circle:
(x + 2.75)² + (y + 2.625)² = (0 + 2.75)² + (0 + 2.625)²x² + 5.5x + y² + 5.25y = 04x² + 22x + y² + 21y = 04x² + 4y² + 22x + 21y = 0
Answer:
Answer is in the picture
Related Questions
Write an equivalent expression for 3x + 21
Answers
hope this helps
how to write the fraction 7/100 as a decimal
Answers
Answer:
0.07
Step-by-step explanation:
It's 7/100. There are two zeros so you move the decimal place to the left two times. Or you can just put the seven in the hundreths place.
Using the following image, solve for FE
Answers
Answer:
FE = 3
Step-by-step explanation:
FE + ED = 11.
(2x - 17) + (x-2) = 11
Combine like terms, and you'll get:
3x -19 = 11
3x = 11+19 = 30
x = 10
FE = 2x - 17
= 2(10) - 17
= 20 - 17
= 3
41% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.
Answers
Answer:
a) 0.2087 = 20.82% probability that the number of U.S. adults who have very little confidence in newspapers is exactly five.
b) 0.1834 = 18.34% probability that the number of U.S. adults who have very little confidence in newspapers is at least six.
c) 0.3575 = 35.75% probability that the number of U.S. adults who have very little confidence in newspapers is less than four.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have very little confidence in newspapers, or they do not. The answers of each adult are independent, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
41% of U.S. adults have very little confidence in newspapers.
This means that [tex]p = 0.41[/tex]
You randomly select 10 U.S. adults.
This means that [tex]n = 10[/tex]
(a) exactly five
This is [tex]P(X = 5)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{10,5}.(0.41)^{5}.(0.59)^{5} = 0.2087[/tex]
0.2087 = 20.82% probability that the number of U.S. adults who have very little confidence in newspapers is exactly five.
(b) at least six
This is:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{10,6}.(0.41)^{6}.(0.59)^{4} = 0.1209[/tex]
[tex]P(X = 7) = C_{10,7}.(0.41)^{7}.(0.59)^{3} = 0.0480[/tex]
[tex]P(X = 8) = C_{10,8}.(0.41)^{8}.(0.59)^{2} = 0.0125[/tex]
[tex]P(X = 9) = C_{10,9}.(0.41)^{9}.(0.59)^{1} = 0.0019[/tex]
[tex]P(X = 10) = C_{10,10}.(0.41)^{10}.(0.59)^{0} = 0.0001[/tex]
Then
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.1209 + 0.0480 + 0.0125 + 0.0019 + 0.0001 = 0.1834[/tex]
0.1834 = 18.34% probability that the number of U.S. adults who have very little confidence in newspapers is at least six.
(c) less than four.
This is:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.41)^{0}.(0.59)^{10} = 0.0051[/tex]
[tex]P(X = 1) = C_{10,1}.(0.41)^{1}.(0.59)^{9} = 0.0355[/tex]
[tex]P(X = 2) = C_{10,2}.(0.41)^{2}.(0.59)^{8} = 0.1111[/tex]
[tex]P(X = 3) = C_{10,3}.(0.41)^{3}.(0.59)^{7} = 0.2058[/tex]
So
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0051 + 0.0355 + 0.1111 + 0.2058 = 0.3575[/tex]
0.3575 = 35.75% probability that the number of U.S. adults who have very little confidence in newspapers is less than four.
Can someone help me please
Answers
Given:
The figure of a right angle triangle with legs a and 7, and hypotenuse c.
The measure of angle opposite to leg 7 is 30^\circ.
To find:
All the missing measures for the triangle.
Solution:
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,
[tex]30^\circ+90^\circ+\text{Missing angle}=180^\circ[/tex]
[tex]120^\circ+\text{Missing angle}=180^\circ[/tex]
[tex]\text{Missing angle}=180^\circ-120^\circ[/tex]
[tex]\text{Missing angle}=60^\circ[/tex]
In a right angle triangle ,
[tex]\sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin (30^\circ)=\dfrac{7}{c}[/tex]
[tex]\dfrac{1}{2}=\dfrac{7}{c}[/tex]
[tex]c=7\times 2[/tex]
[tex]c=14[/tex]
In a right angle triangle,
[tex]\tan \theta =\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan (30^\circ)=\dfrac{7}{a}[/tex]
[tex]\dfrac{1}{\sqrt{3}}=\dfrac{7}{a}[/tex]
[tex]a=7\times \sqrt{3}[/tex]
[tex]a=7\sqrt{3}[/tex]
Therefore, the measure of the missing angle is 60 degrees. Side "a" has a length of 14 units and side "c" has a length of [tex]7\sqrt{3}[/tex] units.
help !!!!!!!!!!!!!!!!!!!!
Answers
Answer:
I think it's a square or maybe a rhombus?
Step-by-step explanation:
Which system of equations has no solution?
Answers
Answer:
Step-by-step explanation:
Step-by-step explanation:
I think it's C.not sure if it's correct
Frank's gas tank is 1/5 full. After he buys 13 gallons of gas, it is 7/10 full. How many gallons can Frank's tank hold?
Answers
Answer:
26 gallons
Step-by-step explanation:
7/10 - 1/5 = 7/10 - 2/10 = 5/10 = 1/2
1/2x = 13
x = 26
A planet rotates through one complete revolution every 26 hours. Since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 26 hours. Find the angular velocity of a person standing on the equator.
Answers
Answer:
23.5 degree stands tap of the floor
True or false you can rely solely upon induction to prove that your conclusion is correct
Answers
Answer: You can rely solely upon induction to prove that your conclusion is correct is a FALSE STATEMENT. Inductive reasoning is the logical method that is used to yield a probable conclusion with the help of a specific instances
Step-by-step explanation: i hope its correct :>>
Write the equation in slope intercept form given
the
point and the slope
m=-4 & (-1, 3)
Answers
y = -4x -1
Work:
y = mx + b
y = -4x + b
3 = -4(-1) + b
3 = 4 + b
-1 = b
Answer:
Step-by-step explanation:
if a straight line with a slop [tex]m[/tex] pass through point [tex]P(x_o, y_o)[/tex] it's equation is:
[tex]y-y_o=m(x-x_o)\\\\y-(3)=-4(x-(-1))[/tex]
[tex]y=-4x-4+3\\\\y=-4x-1[/tex]
Một công ty có đại lý bán sản phẩm trên toàn
quốc, để tìm hiểu tình hình tiêu thụ trong một
tuần lễ sau một đợt quảng cáo, ta có số liệu sau:
2,7
2,9
3,1
3,2
3,4
3,7
Doanh 2,7
số (tr)
Sổ đại lý
8
15
20
30
15
12
Answers
Answer:
PooooppooooooooppooooooooppoopoooooooooppStep-by-step explanation:
Can someone please help me?
Answers
Answer:
A
Step-by-step explanation:
it takes 45 hours to plant 100 trees, so his rate is 100/45 trees per hour.
and it takes rose 40 hrs to plant the 100 trees, so her rate is 100/40 trees per hour
So add those together to get (100/45+100/40)
and then multiply them by P(which is in hours) to equal 100
(100/45+100/40)p=100
then divide by 100 both sides to get
p/45+p/40=1
A store offers different brands of a product. It decides to eliminate the brand
that is most likely to be returned. The table shows the number of items of
each brand that were returned over the past year and the total sold
Answers
Answer:
Brand A
Step-by-step explanation:
Because it has the most returns, therefore, it is the brand that is most likely to be returned.
Answer: Brand B
Step-by-step explanation:
use ratios for each brand to find the probability of each being returned
Consider polynomials P and Q.
P= 8y4 + 6y3 +8y
Q= (5y2 - 4y) (3y2 + 7)
Which operation results in an expression equivalent to 23y4 - 6y3 + 35y2 - 20y?
A. PQ
B. P +Q
C. Q - P
D. P - Q
Answers
This the answer on edmentum
Question 20 of 25
The houses on a city block were thought to be valued at $172,000, $164,000,
$142,000, $159,000, $191,000, $124,000, and $146,000, respectively. But a
public assessor has determined that the value of each house is actually
$20,000 higher than previously thought. According to the public assessor,
what is the median value of the houses?
A. $166,000
B. $146,000
C. $179,000
D. $159,000
SU
Answers
Answer:
Median = $179,000
Step-by-step explanation:
Given prices of the houses :
$172,000 , $164,000 , $142,000 , $159,000 , $191,000 , $124,000 , $146,000
Arrange the data in ascending order :
$124,000 , $142,000 , $146,000 , $159,000, $164,000 , $172,000, $191,000
Prices according to the public assessor :
$144,000 , $162,000 , $166,000 , $179,000 , $184,000, $192,000, $211,000
Median is the middle value in the data : $179,000
HELP QUICK!!!! PLEASE!
Answers
Answer:
Linear function
[tex]y = \frac{x}{2} - 5[/tex]Step-by-step explanation:
[tex]y = \frac{x}{2} - 5[/tex]Linear functionA linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 1.
[tex]y = \frac{2}{x} + 3[/tex]Not linear functionA linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1
, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
[tex]y = {2}^{x} - 1[/tex]Not linear functionA linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
[tex]y = {x}^{2} + 7[/tex]Not linear functionA linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 2.
Hope it is helpful...24. Ninety-four percent of NCSU transfers feel that their college adequately prepared them to handle upper-division coursework at their transfer university. We randomly survey 14 NCSU transfers. We are interested in the number that feel that their college adequately prepared them to handle upper division coursework at their transfer university. Find the probability that more than half felt that they were prepa
Answers
Answer:
The answer is "[tex]0.99999340657 \sim 1[/tex]".
Step-by-step explanation:
[tex]Sucess \ probability \ (p) = 94\% \ or\ 0.94\\\\Sample\ numbers\ n = 14\\[/tex]
Using formula:
[tex]P(X=r)= ^n C_r \times p^r \times (1-p)^{n-r}[/tex]
Let
[tex]\to r=8,9,10,11,12,13 \ or\ 14\\\\[/tex]
Substituting the value for all r:
[tex]P(X=8)= 0.00008540547\\\\P(X=9)= 0.00089201264\\\\P(X=10)= 0.00698743233\\\\P(X=11)= 0.03980719025\\\\P(X=12)= 0.15591149513\\\\P(X=13)= 0.37578668058\\\\P(X=14)= 0.42052319017\\[/tex]
Therefore,
[tex]P(X>7)= P(X=8)+P(X=9)+....P(X=14)\\\\= 0.99999340657 \sim 1.[/tex]
Find the area of a circular pool whose radius is 2 meter.
Answers
Answer:
3.1416 square meters
Step-by-step explanation:
brainliest me pls
Pre algebra please help
Answers
Answer:
It's A, D, and F
Step-by-step explanation:
The answer to the question is 8a+26 so everything else that equals that is the answer.
BRAINIEST AND 10 POINTS
Answers
Answer:
-0.7
Step-by-step explanation:
just solve it.....
Which of the following best describes the relationship between (x - 2) and the
polynomial 2x3 + x2-3?
Answers
Answer:
If (x - 2) is a factor of 2x³ + x² - 3 then for the value of x = 2 the polynomial is equal zero.
Substitute:
2 · 2³ + 2² - 3 = 2 · 8 + 4 - 3 = 16 + 4 - 3 = 17 ≠ 0
Answer: B) (x - 2) is not a factor.
the lengths of two sides of a triangle are 2x-5 and x+3. If the perimeter of the triangle is 4x-1, what is the length of the third side in terms of x?
Answers
Answer:
[tex]x-9[/tex]
Step-by-step explanation:
[tex]side_1=2x+5\\side_2=x+3\\side_3=\phi\\perimeter=\displaystyle\sum_{i=1}^3side_i=(2x+5)+(x+3)+\phi=4x-1\\\phi=4x-1-x-3-5-2x=x-9[/tex]
The length of the third side in terms of x is x+1.
What is the perimeter of the triangle?The perimeter of a triangle is the sum of all its three sides.
We can work out the perimeter using the following formula:
The perimeter of a triangle is = sum of all three sides.
The length of the third side in terms of x is given by;
[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c[/tex]
Substitute all the values in the formula
[tex]\rm Perimeter \ of \ triangle = Side \ a + Side \ b + Side \ c\\\\4x-1=2x-5+x+3+Side \ c\\\\4x-1=3x-2+Side \ c\\\\Side \ c=4x-3x-1+2\\\\Side \ c=x+1[/tex]
Hence, the length of the third side in terms of x is x+1.
Learn more about triangles here;
https://brainly.com/question/22850643
#SPJ2
12. *
12. The Earth is estimated to be 4,540,000,000
years old. What is the Earth's age in scientific
notation?
a) 4.54 x 10°
b) 4.54 x 10-14
c) 4.54 x 1011
d) 4.54 x 1010
A
С
D
Please help
Answers
Answer:
4.54 x 1010
Hope this helps!
1 point
2. Which number line shows all the values of x that make the inequality -3x
+17 true? *
А Н
2
.1
о
1
2
3
4
В
3
2
1
0
H
1
2
4
5
C
-3
2
0
1
2
3
4
5
D
3
2
0
1
2
А.
B
оооо
D
Answers
Answer: c
Step-by-step explanation: it is the answer i think (Jesus love you he is coming back)
The number line (d) represents the values of x that makes -3x + 1 < 7 to be true
How to determine the number line?The inequality is given as:
-3x + 1 < 7
Subtract 1 from both sides
-3x < 6
Divide both sides by -3
x > -2
This means that the number line must show an inequality that is greater than -2
From the list of options, the number line that represents x > -2 is (d)
Hence, the number line (d) represents the values of x that makes -3x + 1 < 7 to be true
Read more about number lines at:
https://brainly.com/question/4727909
#SPJ5
please help me do this i need it
Answers
Answer:
(x+1)(3x+2) is the answer
Answer:
Step-by-step explanation:
3x^2+5x+2
3x^2+(3+2)x+2
3x^2+3x+2x+2
3x(x+1)+2(x+1)
(3x+2)(x+1)
PLZZZ HELP ✨✨✨ ILL MARK BRAINIEST TYSMMM
Answers
Answer:
3
Step-by-step explanation:
She walked 4 days and 3/4 mile per day
To find the total distance, multiply the days by the number of miles per day
4 * 3/4 = 3 miles
Answer:
c 3
Step-by-step explanation:
3/4×4/1=3 u welcomeeeeeee
Which of the following shows the correct order?
5497,0.75,
0{}=c075 <
° 0,75–1.2
(23<3<0,75
Answers
Answer:
The last one, (1/2)^2 < 2/3 < 0.75
Step-by-step explanation:
So lets try to put each number in the same form, and see what their values are.
Lets start with (1/2)^2
This is squaring the 1 and 2 in 1/2. 1^2 is 1. 2^2 is 4. So its now:
1/4
Lets look at the others:
2/3
Lets just give it a common denominator. To do this, lets find the lowest number that both 3(from 2/3) and 4(from 1/4) go into. This is also known as the LCM.
This will be 12.
Since 3(from 2/3) goes into 12 4 times, we multipy both numerator and denominator of 2/3 by 4:
4*2=8, 3*4=12:
8/12
Since 4(from 1/4) goes into 12 3 times, we multiply both the numerator and denominator by 3:
1*3=3, 4*3=12:
3/12
So lets just go over what we know so far:
(1/2)^2 = 3/12
2/3 = 8/12
Now lets find our last value:
0.75
When converted into fraction form, we will get:
3/4
We already have a LCM, which is 12, that goes into this.
The denominator goes into 12 3 times, so again, we multiply numerator and denominator in this:
3*3=9, 4*3=12:
9/12
So:
(1/2)^2 = 3/12, 2/3 = 8/12, and 0.75 = 9/12
3/12 is smaller than 8/12, and 8/12 is smaller than 9/12. This can be written as:
3/12 < 8/12 < 9/12
And this basically means that:
(1/2)^2 < 2/3 < 0.75
This is the last answer in your answer list.
Hope this helps!
Suppose you are depositing an amount today in an account that earns 5% interest, compounded annually. If your goal is to have $5000 in the account at the end of six years, how much must you deposit in the account today?
Answers
Answer:
If you walk into a bank and open up a savings account you will earn interest ... include the amount of money deposited called the principal, the annual interest rate ...
Answer:
3731.08
Step-by-step explanation:
let x= the present value (or principle)
[tex]5000=x(1.05)^6\\\frac{5000}{1.05^6}=x\\x=3731.076983[/tex]
I will mark the brainliest 500 points
Answers
Answer:
50.3
Step-by-step explanation:
Answer:
50.3
Step-by-step explanation:
I know this because im smaart