Step-by-step explanation:
The solution and answer are well written in the Pic above.
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 .
3 (x - 2) = 2 (x - 3)
Answer:
x = 0
Step-by-step explanation:
Given equation to us is ,
[tex]\sf\implies 3 (x - 2 ) = 2( x - 3 )[/tex]
And we need to find out the value of x.
Step 1 : Open the parentheses :-
[tex]\sf\implies 3x - 6 = 2x - 6 [/tex]
Step 2: Put all variables on one side :-
[tex]\sf\implies 3x - 2x = -6+6 [/tex]
[tex]\sf\implies\boxed{\bf x = 0 }[/tex]
x + 9x + 5 = 35 . Find value of x.
Answer:
x = 3
Step-by-step explanation:
x + 9x + 5 = 35
=> x + 9x = 35 - 5
=> x + 9x = 30
=> 10x = 30
=> x = 30/10
=> x = 3
Answer:
x = 3
Step-by-step explanation:
Combine like terms. Like terms have same variable with same exponent.
Here x and 9x are like terms
x + 9x + 5 = 35
10x + 5 = 35
Subtract 5 from both sides
10x + 5 - 5 = 35 - 5
10x = 30
Divide both sides by 10
10x/10 = 30/10
x = 3
No trolling please. I will mark brainlist
Answer:
A) $35.80
B) $28.64
Step-by-step explanation:
I'm not sure tho it might be wrong
What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y?
5xy
15x3y
45x3y5
75x5y7
Answer:
15x3y.
Step-by-step explanation:
.
Hi!
The greatest common factor of 60x⁴y⁷, 45x⁵y⁵ and 75x³y is 15x³y
What is the range of this set of heights in centimeters? {140, 166, 132, 165, 152, 168, 181, 158, 173, 171, 180, 182, 163, 177, 180, 142, 147, 149, 178} 38 41 46 50
Answer:
50
Step-by-step explanation:
Given:
140, 166, 132, 165, 152, 168, 181, 158, 173, 171, 180, 182, 163, 177, 180, 142, 147, 149, 178
Arranging in ascending order (from the lowest to the highest)
= 132, 140, 142, 147, 149, 152, 158, 163, 165, 166, 168, 171, 173, 177, 178, 180, 180 181, 182
Range = highest number - lowest number
= 182 - 132
= 50
Answer:
50
Step-by-step explanation:
None
what are the x- intercepts of the function f(x)= -2x-3+20?
Answer:
x = .464
Step-by-step explanation:
Assumptions: Equation is [tex]-2x^3+20[/tex]. Thus having an asymptote at the value x=0.
To solve for the x-intercepts, we plug in 0 for f(x).We can subtract 20 from both sides, leaving us with [tex]-20 = -2x^-3.[/tex]We can divide both sides by -2. [tex]10=1/x^3[/tex].Now we multiply both sides by x^3, to get rid of the denominator on the right-hand side. [tex]10x^3=1[/tex].We now divide both sides by 10 and take the cube root. Leaving us with x = [tex]\sqrt[3]{1/10}[/tex] or .464. (One x-intercept.)There are 15 chairs arranged in a row, in an auditorium. The distance between adjacent chairs is ¼ of a meter. Find the distance between the first and the last chair in the same row.
Answer:
ok so there is 1/4 of a meter between 15 chairs so
1/4*5= 1.25
so there is 1 and a quarter meter between the first and the last
Hope This Helps!!!
1/5 + 3/4 + 1/2
please helpppo asap
Answer:
29/20 or 1 9/20 or 1.45
Answer:
[tex]\frac{1}{5}+\frac{3}{4}+\frac{1}{2}[/tex]
lease common multiplier of 5,4,2 is 20
[tex]\frac{4}{20}+\frac{15}{20}+\frac{10}{20}[/tex]
[tex]Add\: 4+15+10= 29[/tex]
[tex]1/5+3/4+1/2=29/20[/tex]
[tex]Answer :\frac{29}{20}[/tex]
--------------------------
hope it helps
have a great day!!
given that Tn = -4n^2+56n-180 , determine the biggest numerical value of Tn
The solution and answer are well written in the Pic above.
ATRI has vertices T(-2,4), R(2,4), and 1(0,0). IS ATRI scalene, isosceles, or equilateral?
Is ATRI scalene, isosceles, or equilateral?
equilateral
isosceles
scalene
Find the greatest common factor of the
following monomials:
36m3n4. 2m5n3. 4m6n6
Answer:
2m^3n^3
Step-by-step explanation:
Let us start with the number parts
36 , 2 and 4
2 is common here as it can divide all
The smallest m factor is m^3 so it is common for all
The smallest n factor is n^3 which is also common for all
So, we have the greatest common factor as;
2 * m^3 * n^3 = 2m^3n^3
Rewrite 1/5 barrel and 1/2 as a Unit rate
The numerical coefficient of -2pqr
Answer: -2
Explanation: The coefficient is the number to the left of the variable.
Another example would be that 10xy has the coefficient 10.
Something like x^2 has coefficient 1 because x^2 = 1x^2.
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
I need help in these questions please !
Answer:
b,b.a
Step-by-step explanation:
what is 0.7dm to nm is? please help asap
Step-by-step explanation:
0.7 decimeter =
70,000,000 nanometers
Which equation has the steepest graph?
A. y= 10x-5
O B. y=-14x+1
C. y= {x-9
D. y= 2x + 8
pleeeeaaasssseeeee help
Step-by-step explanation:
Explanation is in the attachment
n=84°p=84°q=96°v=84°w=138°hope it is helpful to you
simplify 18÷3x2+1 please
Answer:
the answer is gonna be
6x^2+1
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textsf{Just do PEMDAS}\\\\\\\huge\textsf{Parentheses}\\\\\huge\textsf{Exponents}\\\\\huge\textsf{Multiplication}\\\\\huge\textsf{Division}\\\\\huge\textsf{Addition}\\\\\huge\textsf{Subtraction}[/tex]
[tex]\large\textsf{18 }\div\large\textsf{ 3 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{18 }\div\large\textsf{ 3 = \bf 6}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 + 1}\\\\\\\large\textsf{6 }\times\large\textsf{ 2 = \bf 12}\\\\\\\large\textsf{12 + 1}\\\\\\\large\textsf{= \bf 13}\\\\\\\boxed{\boxed{\huge\textsf{Answer: \bf 13}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Or you could if your equation is: }\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}[/tex]
[tex]\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ + 1}\\\\\large\textsf{18}\div\large\textsf{3x}\mathsf{^2}\large\textsf{ = \bf 6x}\mathsf{\bf ^2}\\\\\large\textsf{= \bf 6x}\mathsf{\bf ^2 \ + }\large\textsf{ \bf 1}\\\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 6x}\mathsf{\bf ^2}\large\textsf{ \bf + 1}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
How many solutions are there to the equation below? 9(x – 4) = 9x – 33
Answer:
There are 0 solutions
Step-by-step explanation:
9(×-4)=9×-33
9×-36=9×-33
9×-9×-36=-33
-36=-33 and it's impossible
so there's 0 solutions
what is the solution 2/3x+3 x=-2
Answer:
5/3 or 0.666666666667
Step-by-step explanation:
2/3*(-2)+3
5/3 or 0.666666666667 (Solved by calculator)
Jesse spends 1/2 of his pocket money on Monday.
On Tuesday, he spends 2/3 of what is left.
On Wednesday, he spends 1/4 of what remains.
What fraction of the pocket money does he have left? Choose the most
reasonable answer
Answer:
The fraction of the pocket money she left is 1/8.
Step-by-step explanation:
Let the total pocket money is p.
Spent on Monday = p/2
Amount left = p - p/2 = p/2
Spent on Tuesday = 2/3 of p/2 = p/3
Amount left = p/2 - p/3 = p/6
Spent on Wednesday = 1/4 of p/6 = p/24
Amount left = p/6 - p/24 = p/8
So, the fraction of the pocket money she left is 1/8.
You want to change your cell phone service. The new company charges $40 per
month for cell phone use. There is a one-time start-up fee of $25. Which equation
shows the total cost of your cell phone service over time?
Answer:
y=40x+25
plz mark brainliest
el jefe decidió agregar la tabla de frecuencias correspondiente a la edad de sus empleados tal Como se muestra a continuación Cuál es el promedio de edad de los empleados de la empresa
Answer:
Average employee [Mean] = 43.6
Step-by-step explanation:
Given:
Interval Number of employee
25-35 20
35-45 7
45-55 8
55-65 15
Total 50
Find:
Average employee [Mean]
Computation:
Interval X[u+l]/2 Number of employee fx
25-35 30 20 600
35-45 40 7 280
45-55 50 8 400
55-65 60 15 900
Total 50 2,180
Average employee [Mean] = Sum of fx / Sum of x
Average employee [Mean] = 2,180 / 50
Average employee [Mean] = 43.6
Answer:
aeaaa
Step-by-step explanation:
Solve the following system. The solution set {( , ), ( , )}.
Ayden's monthly bank statement showed the following deposits and withdrawals:
-−$21.78, -−$26.26, -−$91.08, $63.64, $100.54
If Ayden's balance in the account was $40.85 at the beginning of the month, what was the account balance at the end of the month?
The question is in the image
Answer:
h(t) = -5*t^2 + 20*t + 2
Step-by-step explanation:
First, we know that the motion equation of the ball will be quadratic, so we write the equation:
h(t) = a*t^2 + b*t + c
Now we need to work with the data in the table.
h(1) = 17
h(3) = 17
h(1) = h(2) = 17
Then we have a symmetry around:
(3 - 1)/2 + 1 = 2
Remember that the symmetry is around the vertex of the parabola, then we can conclude that the vertex of the parabola is the point:
(2, h(2)) = (2, 22)
Remember that for a quadratic equation:
y = a*x^2 + b*x + c
with a vertex (h, k)
we can rewrite our function as:
y = a*(x - h)^2 + k
So in this case, we can rewrite our function as:
h(t) = a*(t - 2)^2 + 22
To find the value of a, notice the first point in the table:
(0, 2)
then we have:
h(0) = 2 = a*(0 - 2)^2 + 22
= 2 = a*(-2)^2 + 22
2 = a*(4) + 22
2 - 22 = a*(4)
-20/4 = -5 = a
Then our function is:
h(t) = -5*(t - 2)^2 + 22
Now we just expand it:
h(t) = -5*(t^2 - 4*t + 4) + 22
h(t) = -5*t^2 + 20*t + 2
The correct option is the first one.
PLEASE HELP! asap:)
i would really appreciate it
Answer:
[tex]{ \tt{ = 2\pi \: rh}} \\ = 2 \times 3.14 \times 12 \times 1 \\ = 75.4 \: {cm}^{2} [/tex]
Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inverse variation relationship.
Answer:
Wavelength varies inversely with frequency.
Step-by-step explanation:
Wavelength varies inversely with frequency.
[tex]\lambda\propto \dfrac{1}{f}\\\\\lambda=\dfrac{k}{f}\\\\\lambda f=k[/tex]
Where
k is the constant and it is equal to the product of wavelength and frequency. It means when wavelength increases, the frequency decreases and vice versa.
1. What does each expression equation represent in this situation? Q(18) b. Q(30) = 27.5
Answer:
Step-by-step explanation:
Q(18) is a direction. It means that wherever you see a variable like x on the right, you put an 18 in for it. For example Suppose the right looked like
Q(x) = x^2 + 10 Then Q(18) would mean
Q(18) = 18^2 + 10
Q(18) = 324 + 10
Now we come to the second equation (b)
What that means is that after you do all the calculations, your answer is
27.5
So for the first question(a) Q(18) = 334
A is the direction of what to do. It is the question.
B is the answer