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:
The point is inside. I used Desmos and it showed this.
aand (-4,2) can be placed inside the circle.
Step-by-step explanation:
Related Questions
Florencia preparó un kilo 3/4 kg de dulce de leche y quiere dividirlo en porciones iguales en 5 frascos Cuántos kg de Dulce pondrá en cada frasco A cuántos gramos equivalen
Answers
Answer:
Each jar contains 150 g.
Step-by-step explanation:
Florencia prepared a kilo 3/4 kg of dulce de leche and wants to divide it into equal portions in 5 jars How many kg of Dulce will she put in each jar How many grams are equivalent?
Amount prepared = 3/4 kg
Total number of jars = 5
The amount in each jar is given by
[tex]\frac{3}{4}\times \frac{1}{5}\\\\=\frac{3}{20} kg\\\\= \frac{3}{20}\times1000g = 150 g[/tex]
Hi, I'm new, please can you help me with these math exercises Thank you very much
:3 given the algebraic fraction p (x) 2x2-2x determine its numerical value for x: 3 3x-1 given the algebraic fraction p (xy) - 3xy-y2 + x xy- + determine its numerical value for x- {3 y- {2 p (x, y) part 2: perform the following exercises by factoring a) b8 p4 + b: up3 -12 b7 p2 + 15u2 + b3 p5: b ) 32 p2 -24 p3 + 16 p2 -8 p4: part 3: perform the following equations a) 4x + 5 + 2: 3x-2 + 5b) 2-9x + 6: 2x-4x-6c) 3x-5 + 2: 2 + 4x-3d) bx-5x + 4: 3x + 5x + 2
thank you
Answers
Collect like terms 5 p 2 − p 2
Answers
Answer:
Collect like terms 5 p 2 − p 2
4pStep-by-step explanation:
#CarryOnLearning
What is the answer??
Answers
Find the value of x in x + y= 9 and x - y= 3.
6
-6
3
-3
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x + y= 9 and x - y= 3
rearrange the second equation:
x - y= 3
x = 3 + y
x -3 = y
substitute y with "x-3" in the first equation and solve
x + y= 9
x + (x-3)= 9
2x -3 = 9
2x = 12
x = 6
you could also start with the first equation and substitute y in the second.
graphically speaking, it's the intersection point of to lines, at least the six-part of the point.
Find the measure of DA
Answers
Answer:
15
Step-by-step explanation:
First, find x
set your formula up as 3x+5=6x-10, since AB and DC are the same length.
This means x = 5
Now substitute 5 for x in the line DA
4x-5
4 * 5 - 5 = 15
In a paragraph, explain what the domain and range is for the function, and how you found your answer: f(x) = x2 + 6x - 25.
Answers
Answer:
Domain(-infinity,+infinity)
Range=f(x) >or= - 34
Step-by-step explanation:
Domain for every parabola the domain is (-infinity, +infinity) unless there are any restrictions
Range we look at the y value of the maximum point or minimum points
We find it by finding the turning point
F'(x) =2x+6
0=2x+6
-6=2x
x=-3
F(-3)=(-3)^2+6(-3)-23
=-34
So all value that exist on the f(x) must be greater or =-34
answer needed fast! 15 points! in how many ways can 85 be written as the sum of 2 primes
Answers
Are the two triangles similar. If so, State how
Answers
Answer:
Yes by AAA
Step-by-step explanation:
Angle A is the same for both triangles. Angle D is congruent to Angle A since BC and DE are parallel lines and same with angle E. So by AAA the triangles are similar
Jin completed 8 pages in his math workbook and
12 pages in his science workbook. This is 25% of the
total number of pages in both workbooks together.
If there are 32 pages in his math workbook, how
many pages are there in his science workbook?
A. 20
B.
48
C. 80
D. 128
Answers
You have job were you are paid (p) $1,000 a month plus $15.00 for every hour (h) you work. You work 150 hrs (h), how much money did you make?
Answers
Answer:
15 x 150 = 2250
2250 + 1000 = 3250
you make $3250,00
Help and explain !!!
Answers
Answer:
7
Step-by-step explanation:
2(5) -3
10-3
7
which of the following numbers has the least number of positive divisors if a=50^(100) . choose: 1)25a 2)4a 3)3a 4)26a 5)10a
Answers
Answer:
the answer would have to be B
Step-by-step explanation:
I need help in these questions please !
Answers
Answer:
b,b.a
Step-by-step explanation:
To the nearest square metre, calculate the curved surface area of the half pipe if it is 9m long? (With a radius of 2.5m)
Answers
Answer:
70.686 [tex]m^{2}[/tex]
Step-by-step explanation:
A=2πrh (area of cylinder without top or bottom)
A = 2[tex]\pi[/tex](2.5)(9)
A = 141.372
divide by two for half of pipe.
A = 70.686
jayce travels 30 miles per hour in her car.how many miles does she travel in 4 hours
Answers
Answer:
120 miles
Step-by-step explanation:
30 miles per hour * 4 hours
120 miles
Answer:
She travels 120 miles in 4 hours.
Step-by-step explanation:
She travel in 4 hours = 30 miles × 4 = 120 milesShe travels 120 miles in 4 hours
i need help plzzzz!!!!!! find the area
Answers
Answer:
3
Step-by-step explanation:
Area = 1/4 * √(5(5+2√5)) * a^2
Area ≈387.11
because each bag only covers 150 we need 3 bags
Answer:
area = 387 ft^2
3 bags
Step-by-step explanation:
See the picture below.
The pentagon is made up of 5 congruent triangles. One triangle is shown on the bottom right figure.
The left figure shows half of the triangle. We need to find h, the height of the triangle.
For a regular pentagon, the measure of each interior angle is
(n - 2)180/5 = 108
Half of the angle is 54 deg.
tan A = opp/adj
tan 54 = h/7.5
h = 7.5 * tan 54
h = 10.32 ft
Area of half triangle = bh/2 = 7.5 ft * 10.32 ft/2 = 38.7 ft^2
The pentagon is made up of 5 larger triangles or 10 half triangles.
Area of pentagon = 10 * 38.7 ft^2
Area of pentagon = 387 ft^2
1 bag is good for 150 ft^2.
387 ft^2/150 ft^2 = 2.6
She needs 2.6 bags, so she must buy 3 bags.
Answer: 3 bags
which is grater 0,7_ _ or -6.7
Answers
Answer:
There is no way to know to know because we don't have a way to see where 0,7 is on the graph
could someone help with question 4 i’m not too sure what it means
Answers
all even except 4th equation
Step-by-step explanation:
an even equation is the one who proves that f(-x) = f(x)
HELP PLEASE (CIRCLES) (40 points)
the line 3y - x = 5 is the tangent to a circle at the point A(1,2). (1) Find the equation of the line passing through A and the centre of the circle. The equation of another line passing through the centre of the circle is x + 3y = 15. (2) Find the equation of the circle.
Answers
Answer:
x² + (y - 5)² = 10Step-by-step explanation:
Tangent line is:
3y - x = 5 ⇒ 3y = x + 5 ⇒ y = 1/3 x + 5/3, the slope is 1/3Perpendicular line to this has a slope of -3 and passes through point (1, 2).
Its equation is:
y - 2 = -3(x - 1) ⇒ y = -3x + 3 + 2 ⇒ y = -3x + 5Using the second line passing through the center, find the coordinates of the center:
x + 3y = 15 ⇒ 3y = -x + 15 ⇒ y = -1/3x + 5Solve the system by elimination:
-3x + 5 = -1/3x + 5 ⇒ x = 0Then
y = 5The center is (0, 5) and radius is the distance from center to point (1, 2):
r² = (0 - 1)² + (5 - 2)² = 1 + 9 = 10The equation of circle:
(x - h)² + (y - k)² = r²(x - 0)² + (y - 5)² = 10 ⇒ x² + (y - 5)² = 10I will mark you the brainliest
What is the opposite polynomial?
Answers
Answer:
e t
Step-by-step explanation:
Bonnie made a scale drawing of a theater. The scale of the drawing was 2 inches =
1 foot. If the stage is 40 inches in the drawing, how wide is the actual stage?
55
Answers
Answer:
20 foot.....................
The sum of four consecutive numbers is two more than three times the greatest of these numbers. Find the numbers.
Answers
Answer:
9, 10, 11, 12
Step-by-step explanation:
Let the consecutive numbers be:
x, x+1, x+2, x+3
Greatest of the numbers will be: x + 3
x+x+1+x+2+x+3 = 3(x+3) + 2
4x + 6 = 3(x+4) + 2
4x + 6 = 3x + 12 + 2
4x + 6 = 3x + 14
Collect like terms
4x - 3x = 14 - 6
x = 8
x +1 = 8+ 1 = 9
x + 2 = 8 + 2 = 10
x + 3 = 8 + 3 = 11
x + 4 = 8 + 4 = 12
5/8 divided by 8 please help man I will give the brainly thing \y
Answers
Answer:
5/64
Step-by-step explanation:
5/8 : 8 = 5/8 * 1/8 = 5/64
Answer:
12 4/5
Step-by-step explanation:
simplified
Find the area of the triangle bounded by the lines y=x y=-x and y=6.
Answers
High of triangle is 6
The area of the triangle bounded by the lines y=x y=-x and y=6 is 36 units.
What is area of triangle?The formula for finding area could be represented in the form of determinants as given below.
[tex]A = \frac{1}{2} \left[\begin{array}{ccc}x1&y1&1\\x2&y2&1\\x3&y3&1\end{array}\right][/tex]
First, we need to find the coordinates of the point of intersection of these lines.
y = x
y = -x
Adding the two equations,
2y = 0
y = 0
x = 0
coordinate: (0, 0)
y = x
y = 6
Subtracting the two equations,
0 = x - 6
x = 6
coordinate: (6, 6)
y = -x
y = 6
Subtracting the two equations,
- x - 6 = 0
x = -6
coordinate: (-6, 6)
Calculating area of triangle bounded by the given line:
Area of triangle =
[tex]\frac{1}{2}\left[\begin{array}{ccc}0&0&1\\6&6&1\\-6&6&1\end{array}\right][/tex] = [tex]\frac{1}{2} (36 + 36) = \frac{72}{2} = 36[/tex]
Learn more about area of triangle here
https://brainly.com/question/19305981
#SPJ2
6. Write two rational numbers which are their own reciprocals ?
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1 and -1 are the only rational numbers which are their own reciprocal.[tex] \: [/tex]
plss answer someone the bottom question qracias
Answers
0.6(180) is the same as asking the question - What is 60% of 180?
To find that answer, we can multiply 0.6 by 180. We use the decimal 0.6 because that is the decimal form of 60%.
0.6 x 180 = 108
Another way we can find this answer is to find 1/10 of 180 and multiply this answer by 6 because 60/100 is the same thing as 6/10.
1/10 of 180 = 18
18 x 6 = 108
Hope this helps!
Be sure to show your work and solve for h:
13 = h - 18 - 5
Answers
Answer:
h = 36
Step-by-step explanation:
13 = h - 23 (subtract)
13 + 23 = h (move to the other side)
36 = h (add)
Which answers are written in function notation
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Step-by-step explanation:
An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”; that is, y = f ( x). This last expression is read as “ y equals f of x” and means that y is a function of x.
series calcular s=1+2+3+....+86
Answers
Answer:
S = 3741
Step-by-step explanation:
Here, we want to calculate the sum of the first 86 numbers (starting from 1)
Mathematically, we can use the formula;
Sn = n/2[ a + L]
Where n is the number of terms (86 here)
a is the first term which is 1 and L is the last term which is 86
So, we have the sum as;
Sn = 86/2(1 + 86) = 43 * 87 = 3741
