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 .
which point is a solution to y>2x-1?
Answer:
B) (0,2)
Step-by-step explanation:
We substitute the values of x and y into this inequality:
2 ≥ 2(0)-1
2 ≥ 0-1
2 ≥ -1
This is true, so this is the correct point
hope this helps have a good day
Answer:
there it is
Step-by-step explanation:
Find the greatest common factor of the
following monomials:
12a^2, 32a^3
Answer:
4a^2
Step-by-step explanation:
GCF of 12 and 32 is 4.
GCF of a^3 and a^2 is a^2.
Therefore, the answer is 4a^2.
17
Select the correct answer from each drop-down menu.
Consider this system of equations:
2x+ıy=3
(equation A)
fr-y=6
(equation B)
The expressions that give the value of y are
The solution for the given system is
and
Answer:
The expressions that give the value of y are A - 3B and (1/3)A - B
The solution is (27/13, -60/13)
Step-by-step explanation:
We can see both equation A and equation B.
Equation A: 2x + (1/4)y = 3
Equation B: (2/3)x - y = 6
To find the value of y, we have to solve both equations A and equation B simultaneously. This is done by multiplying equation B by 3 and subtracting from equation A (A - 3B) to get:
(13/4)y = -15
y = -60/13
you can also get y by dividing equation A by 3 and subtracting equation B (1/3A - B)
Put y = -60/13 in equation A to get x:
2x + (1/4)(-60/13) = 3
2x = 3 + 15/13
2x = 54/13
x = 27/13
The solution is (27/13, -60/13)
Can someone please help me. If you do thanks
Answer:
(B)
Step-by-step explanation:
Can't explain lol, but that's the answer
the question is on the image
Answer:
(i) - rectangular prism
(Ii) - triangular prism
(iii) - square pyramid
Step-by-step explanation:
Help me please PLEAASEEEE
the first three terms of a series of which the nth term is 2n+1.
Answer:
3, 5, 7
Step-by-step explanation:
Substitute n = 1, 2, 3 into the nth term rule
a₁ = 2(1) + 1 = 2 + 1 = 3
a₂ = 2(2) + 1 = 4 + 1 = 5
a₃ = 2(3) + 1 = 6 + 1 = 7
Answer:
3, 5, 7
Step-by-step explanation:
n = 1, 2, 3 into the nth term rule
a₁ = 2(1)+1=2+1=3
a2=2(2)+1=4+1=5
a3 = 2(3)+1=6+1=7
Solve: 4(x + 3) ≤ 44
x ≥ 16
x ≤ 16
x ≤ 8
x ≥ 8
Please help
Answer:
C
Step-by-step explanation:
[tex]4(x + 3) \leqslant 44 \\ \\ 4x + 12 \leqslant 44 \\ 4x \leqslant 44 - 12 \\ 4x \leqslant 32 \\ 4x \div 4 \leqslant 32 \div 4 \\ x \leqslant 8[/tex]
Evaluate the expression. 24.32
2^4×3^2 = 144
___________
Answer:
144 would be the answer.
Step-by-step explanation:
Question:- [tex]2^{4}[/tex] · [tex]3^{2}[/tex]
[tex]2^{4}[/tex] = 2 x 2 x 2 x 2
= 4 x 2 x 2
= 8 x 2
= 16
[tex]3^{2}[/tex] = 3 x 3
= 9
So, [tex]2^{4}[/tex] · [tex]3^{2}[/tex] = 16 x 19
= 144
Which of these is an exponential parent function?
Complete question is;
Which of these is an exponential parent function?
A. f(x) = x
B. f(x) = 2^(x)
C. f(x) = x²
D. f(x) = |x|
Answer:
B. f(x) = 2^(x)
Step-by-step explanation:
> In option A, f(x) = x
This function depicts a straight line with intercept as 0 and slope as 1.
> In option C, f(x) = x²
This function depicts a parabola open up since the leading coefficient is greater than 0.
> In option D: f(x) = |x|
This function depicts a straight line y = x for x > 0 and y = -x for x < 0
In option B f(x) = 2^(x)
This function depicts an exponential function because the x is in the exponent form with a base of 2.
After simplification, the value of 1-2/1(1+2)-3/(1+2)(1+2+3)-4/(1+2+3)(1+2+3+4)-...-100/(1+2+...+99)(1+2+...+100)
is a proper fraction in its lowest form. Find the difference of its numerator and denominator.
Answer: no
Step-by-step explanationn. .......................................................w:eorkeok,feoferkeorkoe
I just need to know how I would be able to find x
Answer:
[tex]x=15[/tex]°
Step-by-step explanation:
The sum of degree measures in a full angle (a circle) is (360) degrees. This means that the sum of all of the angles in this diagram is (360) degrees, as the angles form a full arc. Therefore, one can form an equation by adding up all of the angles and setting the equation equal to (360) degrees. Then one can substitute each angle value with the equation that is used to represent it, simplify, and use inverse operations to solve for the value of (x).
[tex](m<AMB)+(m<BMC)+(m<CMD)+(m<AMD)=(360)[/tex]
Substitute,
[tex](46)+(4x-2)+(9x+6)+(8x-5)=360[/tex]
Simplify,
[tex](46)+(4x-2)+(9x+6)+(8x-5)=360[/tex]
[tex]21x+45=360[/tex]
Inverse operations,
[tex]21x+45=360[/tex]
[tex]21x=315[/tex]
[tex]x=15[/tex]
Given P(A) = 0.36, P(B) = 0.2 and P(ANB) = 0.122, find the value of P(AUB), rounding to the nearest thousandth, if necessary.
Answer:
The value of P(AUB) = 0.438
Step-by-step explanation:
Given:
P(A) = 0.36
P(B) = 0.2
P(A∩B) = 0.122
Find:
The value of P(AUB)
Computation:
P(AUB) = P(A) + P(B) - P(A∩B)
The value of P(AUB) = 0.36 + 0.2 - 0.122
The value of P(AUB) = 0.56 - 0.122
The value of P(AUB) = 0.438
Write 2 x 8 x 64 in index notation with the smallest base.
Answer:
Step-by-step explanation:
Prime factorize 8 and 64
8 = 2* 2 * 2 = 2³
64 = 2*2*2 *2*2*2 = 2⁶
2*8*64 = 2* 2³ *2⁶ = 2¹⁺³⁺⁶ = 2¹⁰
In exponent multiplication, if base are same, then add the exponents.
Which ordered pair is the best estimate
for the solution of the system of
equations?
y= 3/2x +6
y=1/4x -2
Answer: -6.4, -3.6
Explanation: A souloution of the system of equations is, when two equations intercept (y= 3/2x +6, y=1/4x -2)
what is the measure of 6 ?
Answer:
54°
Step-by-step explanation:
Here :-
13x + 9 + 5x + 9 = 1801 8x + 18= 180 18x = 162x = 9Measure of 6 :-
6 = 5x + 9 6 = 5*9 +9 6 = 45 + 9 6 = 54°Answer:
m<6 = m<2 = 54º
Step-by-step explanation:
13x + 9 + 5x + 9 = 180
18x + 18 = 180
18x = 180 - 18
18x = 162
x = 162 / 18
x = 9
13x + 9
13(9) + 9
126
180 - 126
54
m<6 = m<2 = 54º
2. What is the area of the figure below. Simplify.
Answer:
x^2 - 9
Step-by-step explanation:
length = 2x - 6 = 2(x-3)
Area = [2(x-3) * (x + 3)]/2 = (x-3)(x+3) = x^2-9
Answer: x = 9
2x -6= x +3
2x -x= 3 +6
x= 9
What is the range of the given function ?
{(-2,0),(-4,-3),(2,-9),(0,5),(-5,7)}
Answer:
{0,-3,-9,5,7}
Step-by-step explanation:
range = all y values
function =(x,y)
so all the second values are ranges
Help me with the diagram please!!!
Answer:
(B) 30
Step-by-step explanation:
Imagine you drew a line from Point T until it touched Line PR. Let's call that point where it touched Line PR "Point Z".
That line (called Line TZ) would be perpendicular to PR, forming a 90 degree angle.
Now, TZW is a triangle.
To find x, we need to find the angle measurment of Angle ZTW.
This is where we use the hexagon.
A hexagon's interior angle sum is 720, meaning each interior angle is equal to 120 degrees. So Angle UTS would equal 120 degrees.
However, Line TZ bisects that 120 degree angle, so Angle ZTW would equal 60 degrees (because 120/2 = 60).
Now we have two angles of the triangle: 90 & 60.
A triangle's interior angle sum is 180.
Add 90 & 60, which is 150, and subtract 150 from 180.
The result is 30, which is the angle measurement of x.
Hope it helps (●'◡'●)
Solve for the questions (both of them) and label you answers for which question
Jessica is buying chicken wings and hamburger meat for a party. One bag of chicken wings costs $6. Hamburger meat costs $3 per pound. She must spend no more than $30. She also knows that she needs to buy at least 5 pounds of hamburger meat. Which system of inequalities can be used to determine the number of bags of chicken wings, x, and the number of pounds of hamburger meat, y, that Jessica should buy?(1 point)
Answer:
6x + 3y ≤ 30
y ≥ 5
Step-by-step explanation:
Let
x = number of bags of chicken wings
y = number of pounds of hamburger meat
Cost of one bag of chicken wings = $6
Cost of one pound of Hamburger meat = $3
She must spend no more than $30.
The inequality
6x + 3y ≤ 30
She also knows that she needs to buy at least 5 pounds of hamburger meat.
y ≥ 5
Which is the graph of the equation y-1=- f (x-3)?
Whose solution strategy would work?
Answer:
1452628383763637£838
Answer:
B
Step-by-step explanation:
John finds that the sum of two numbers is 24 and their difference is one sixth of the sum. Find the smallest number between the two numbers
Answer:
The smallest number is 10
Step-by-step explanation:
x+y=24---equation 1
x-y=¹/6×24=>x-y=4---equation 2
Add both equations
2x=28
x=14
put x=14 into equation 1
14+y=24
y=24-14=10
(cos2a *cos 4a+ sin 2a*sin 4a)/sin4a
Answer:
Step-by-step explanation:
(cos 4a*cos 2a+sin 4a*sin 2a)/sin 4a
=[cos (4a-2a)]/sin 4a
=(cos 2a)/sin 4a
=(cos 2a) /(2 sin 2a cos 2a)
=1/(2 sin 2a)
=1/2 csc 2a
find the area of the kite. please help thank you
Answer:
1/2×d1×d2
=1/2× (4+4)(6+3)
=36
What is the image of the point (8,4) after a rotation of 90° counterclockwise about the origin?
=========================================================
Explanation:
The 90 degree counterclockwise rotation rule we use is
[tex](x,y) \to (-y,x)[/tex]
the x and y coordinates swap places, and we change the sign of the first coordinate after the swap.
After using that rotation rule, we would go from (8,4) to (-4, 8) which is the final answer.
----------------
Extra info (optional section):
Define the following three points
A = (0,0)
B = (8,4)
C = (-4,8)
Use the slope formula to find that AB and AC have slopes of 1/2 and -2 in that order.
Those slopes multiply to -1, since (1/2)*(-2) = -1. This is a property of any two perpendicular lines as long as neither line is vertical and neither is horizontal. So this is sufficient to prove that the lines are perpendicular. This further means that a 90 degree rotation has taken place.
Given cosΘ=2/3 and sinΘ>0, find sinΘ
(Just for clarification, those zeros with horizontal lines in the center represent theta)
Answer:
sinΘ = √5/3
Step-by-step explanation:
Mathematically, we know that the cos of an angle is the ratio of the adjacent to the hypotenuse
The sine of an angle is the ratio of the opposite to the hypotenuse
So in this case, from the cosine given; adjacent is 2 and hypotenuse is 3
From the Pythagoras’ theorem, we can get the opposite
Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides
Let us have the opposite as x
3^2 = 2^2 + x^2
9 = 4 + x^2
x^2 = 9-4
x^2 = 5
x = √5
This root can be positive or negative
But since the sine is positive, we shall be considering only the positive root
Thus;
sine theta = √5/3
determine if 5yx - 17xy are like terms
Step-by-step explanation:
yes they are because they have the same variables which are X& Y
Answer:
5yx-7xy
they are like terms, it's all multiplication just a different arrangement
5xy-7xy=-2xy
Step-by-step explanation:
hope this is helpful
Solve. Algebra 1
1-4p-2p=1-5p
Answer:
p = 0
Step-by-step explanation:
1 - 4p - 2p = 1 - 5p
-6p + 1 = -5p + 1
-p + 1 = 1
-p = 0
p = 0
