does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Answers
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
Answer:
these points lie INSIDE THE CIRCLE
Hope it helps
have a nice day
Related Questions
What is the distance between (-1,2) and (-5, 2)
Answers
Answer:
4
Step-by-step explanation:
The distance between the points (-1,2) and (-5,2)
[tex] \sqrt{( - 5 - ( - 1)) ^{2} + (2 - 2) ^{2} } \\ = \: \sqrt{( - 4)^{2} + (0) ^{2} } \\ = \sqrt{16 + 0} \\ = \sqrt{16} \\ = 4[/tex]
Answered by GAUTHMATH
The length of a line is x centimetres.
Write down an expression, in terms of x, for the length of the line in millimetres.
Answers
Answer:
10x
Step-by-step explanation:
Since there are 10 mm in one cm, the expression would be 10x.
Hope this helps!
Answer:
10
Step-by-step explanation:
As we know that 1cm=10mm
so the expression would be 10x.
In a large crowd, there are three times as
many men as women. Three people are
chosen at random. Assuming that there are
so many people that choosing three has a
negligible effect on the proportion of men to
women, find the probability that they are
a.all men
b.2 women and 1 man.
Answers
Answer:
A. All men
Explanation
The probability of all men = 0.4219 while the probability of 2 women and 1 man = 0.14
How to solve for the probability of menThe question says we have three times as much men as women
The probability it is a man that was chosen = 3/4
The probability of choosing a woman = 1/4
a. The probability that the chosen persons are all men = (3/4)³
= 0.4219
b. The probability of 2 women and 1 man
3 * 0.75 *0.25²
= 0.14
Hence the probabilities are a. 0.4219 and b. 0.14
Read more on probability here:
https://brainly.com/question/24756209
#SPJ9
Find angle m
A. 69
B. 23
C. 46
D. 167
Answers
Answer:
a
Step-by-step explanation:
∠DAF - ∠CFA=∠DFC
118-49 =69
a. 12.4
b. 12.9
c. 8.5
d. 8.1
Answers
I say 8.5 not sure so c.
write a function rule for the table
f (x) = 3x
Answers
The only function rule that works is A.
Instead of using f(x) - use y
Then place the numbers in for x and see which are true. The answer is A
Vincent has $5 bills and $20 bills. He has a total of 24 bills and the total amount is $210. How many
$5 bills does he have?
Answers
Which set of ordered pairs does not represent a function? \{(5, -9), (6, -6), (-3, 8), (9, -6)\}{(5,−9),(6,−6),(−3,8),(9,−6)} \{(-6, -4), (4, -8), (-6, 9), (1, -3)\}{(−6,−4),(4,−8),(−6,9),(1,−3)} \{(1, -1), (-5, 7), (4, -9), (-9, 7)\}{(1,−1),(−5,7),(4,−9),(−9,7)} \{(8, -9), (-3, -6), (-4, 4), (1, -5)\}{(8,−9),(−3,−6),(−4,4),(1,−5)}
Answers
Answer:
[tex]\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}[/tex]
Step-by-step explanation:
Given
[tex]\{(5, -9), (6, -6), (-3, 8), (9, -6)\}[/tex]
[tex]\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}[/tex]
[tex]\{(1, -1), (-5, 7), (4, -9), (-9, 7)\}[/tex]
[tex]\{(8, -9), (-3, -6), (-4, 4), (1, -5)\}[/tex]
Required
Which is not a function
An ordered pair is represented as:
[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3),..........,(x_n,y_n)\}[/tex]
However, for the ordered pair to be a function; all the x values must be unique (i.e. not repeated)
From options (a) to (d), option (b) has -6 repeated twice. Hence, it is not a function.
HELP SOMEONE PLSSSSS
Answers
4y=8x
Isolate y by dividing both sides by 4
Y=2x
Sub every y with 2x
Answer is A
What is the slope of a line that runs parallel to y= x + 14
Answers
Answer:
m=1
Step-by-step explanation:
y= x + 14
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope for the line is 1
Parallel lines have the same slope
m=1
Which answer represents the range of the logarithmic function given below?
F(x) = log0.6^x
Answers
The pie chart shows how 36 pupils travel to school.
Use the pie chart to complete the table.
Bike
Walk
Travel to
school
Number
of pupils
Walk
9
120°
Car
Bus
Bus
Car
Bike
Total
36
Answers
Answer:
bike=7
car=8
walk=9
bus=12
Step-by-step explanation:
Answer:
Look at picture
Step-by-step explanation:
What conclusion would be true given the hypothesis?
Answers
Answer:
4th option
Step-by-step explanation:
If ∠ 1 = ∠ 2 = ∠ 3
Then ∠ 1 = ∠ 3 is true
Answer:
The second one the measure of angle?1 is less then angle 3 is the correct answer.
find the slope of the line passing through the points (-2,5) and (3/2,2)
Answers
Answer:
slope = - [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = ([tex]\frac{3}{2}[/tex], 2)
m = [tex]\frac{2-5}{\frac{3}{2}-(-2) }[/tex]
= [tex]\frac{-3}{\frac{3}{2}+2 }[/tex]
= [tex]\frac{-3}{\frac{7}{2} }[/tex]
= - 3 × [tex]\frac{2}{7}[/tex]
= - [tex]\frac{6}{7}[/tex]
Can someone help me with this math homework please!
Answers
Answer:
x = 12
Step-by-step explanation:
First we need to add x & 1/4x.
Pretend there's a 1 infront of x, so that the equation looks like:
1x + 1/4x = 15
To combine the two terms, we need to get the 1 to have the same denominator as 1/4, so let's multiply 1 (which is the same as 1/1) by 4/4.
You get 4/4! Substitute that into the equation:
4/4x + 1/4x = 15
Now combine the terms:
(4/4x + 1/4x = 5/4x)
5/4x = 15
Finally, multiply both sides by 4/5 to cancel out the 5/4:
x = 15*4/5
x = 60/5
x = 12
Hope it helps (●'◡'●)
dåså, man på rådets ordförande
10.) This week, you worked shifts that were 6 hours, 5 hours,
74 hours, and 4 hours. What was your average shift length this
week, expressed as a decimal?
Answers
Answer:
The average would be 22.25
Step-by-step explanation:
Average = [tex]\frac{sum}{count }[/tex]
6+5+74+4= 89
there are four numbers
[tex]\frac{89}{4}[/tex]=22.25
A boy spent 20% of his money on books and 20% of the remainder on food.If he had $2000 left, how much money did he have at first?
Answers
Answer:
[tex]\$3,125[/tex]
Step-by-step explanation:
Let [tex]s[/tex] represent the amount of money he initially started with.
After he spent 20% on books, he will have [tex]100\%-20\%=80\%[/tex] of his initial money left. We can represent this as [tex]0.8s[/tex].
Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have [tex]100\%-20\%=80\%[/tex] of the remainder of money he had left after he purchased the books. Therefore, he ends up with [tex]0.8(0.8s)=0.64s[/tex] of his money left.
Since we're given that he had $2,000 after all these transactions, we have the following equation:
[tex]0.64s=\$2,000[/tex]
Divide both sides by 0.64 to isolate and solve for [tex]s[/tex]:
[tex]s=\frac{2,000}{0.64}=\boxed{\$3,125}[/tex]
Therefore, the boy had $3,125 to begin with.
Answer:
2800
Step-by-step explanation:
20%+20%=40%
40/100x2000=2800
8. Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4
Answers
Hello,
If center is (0,0)
x²/a²+y²/b²=1 for a half horizontal axis of a, and a half vertical axis of b
Here
a=2 ==> a²=4
b=8 ==> b²=64
[tex]\boxed{\dfrac{x^2}{4}+ \dfrac{y^2}{64}=1}\\[/tex]
which is represented by the table
Answers
Answer:
I think its is C
Squares of Binomials
Please Help
Answers
The length of a rectangle is 3
more than 5 times its width.
Find the perimeter of this
rectangle if its area is 92 m2.
[?]m
Answers
Let W = width then length = 5W + 3
Area = W(5W + 3) = 5W2 + 3W = 92
5W2 + 3W - 92 = 0 has a negative root and the positive root = 4 (by the quadratic formula)
The length = 23 and the perimeter = 2(L + W) 2 * 27 = 54
I dont know if this is right because I cant see the last part in less its like that
Easy
a) -2,-5.-8.-11,...
Answers
Step-by-step explanation:
???????? what is easy??
The expression 2x and x² have the same value for only two values of x. What are these values?
Answers
Answer:
0 and 2
Step-by-step explanation:
write missing monomial to make an identity ( + 2a)^2 = + 12ab + 4
Answers
Answer:
The missing monomial should be [tex]3b[/tex].
Step-by-step explanation:
Given that,
[tex]( + 2a)^2 = + 12ab + 4[/tex]
Let the missing monomial is x.
[tex]( x+ 2a)^2 = x^2+ 12ab + 4a^2\\\\( x+ 2a)^2=(3b)^2+ 2(2a)(3b) + (2a)^2\\\\So,\\\\( 3b+ 2a)^2=(3b)^2+ 2(2a)(3b) + (2a)^2[/tex]
So, the missing monomial should be [tex]3b[/tex].
A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same base and half the height of the prism is placed inside the prism, as shown in the figure.
The volume of the space outside the pyramid is _ cubic centimeters.
Answers
Answer:
the answer is 200cm^3
explication
Which of the following is not a proportional liner relationship?
Answers
=========================================================
Explanation:
A proportional linear relationship is of the form y = kx
We can solve for k to get k = y/x.
Based on that, we can prove a table is a proportional linear relationship if and only if each column of x,y values divide to the same number.
Choice A shows that y/x = 2/8 = 1/4 for the first column; however, y/x = 8/16 = 1/2 for the second column. The outputs 1/4 and 1/2 not being the same indicates we don't have a constant k value for all of the columns. This is sufficient to show that table A is not a proportional linear relationship.
-------------
In contrast, table B is a proportional linear relationship because we have these four divisions that lead to the same value (1/8)
Column One: y/x = 2/16 = 1/8Column Two: y/x = 4/32 = 1/8Column Three: y/x = 6/48 = 1/8Column Four: y/x = 8/48 = 1/8Showing that k = 1/8 for table B. The equation here is y = (1/8)x. We can rule out choice B.
I'll let you check out tables C and D on your own, but you should find that a similar situation shows up as did with table B. This indicates tables C and D are also proportional linear relationships. We can rule out choices C and D.
Is 3a = 9 true or false when x is 3?
Answers
A plane travels at a speed of 213 miles per hour.
Work out an estimate for the number of seconds the plane takes to travel 1 mile.
Answers
Answer:
0.28 seconds
Step-by-step explanation:
To solve, I usually set up an equation.
miles = 213 = 1
sec 60 x
Then use cross multiplication.
213x=60
Divide both sides by 213
x=0.281690141
If you are supposed to round, round.
Hope this helps!
Answer:Hope this helps.
Step-by-step explanation:
What is the value of the median ?
1. 8
2. 4
3. 6
4. -4
Answers
Anyone know the answer
Answers
Vertical ship up three and two to the right and the square root will flip
so options I is wrong
II is right
III is right
IV is wrong
THUS THE ANSWER IS OPTION II III
4
