Mathematics :asked onedailey4448
17.05.2023the following question
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Step-by-step answer
17.05.2023, solved by verified expert
The answer would be 2 laps per minute
Explanation
====================================================================
We can set this problem up as . We simply divide and we get 2 laps per minute.
I hope this helps : )
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Mathematics
Caroline walked 40 laps on an indoor track in 20 minutes. what was caroline s average speed in laps per minute?
Step-by-step answer
P Answered by Specialist
The answer would be 2 laps per minute
Explanation
====================================================================
We can set this problem up as 
. We simply divide and we get 2 laps per minute.
I hope this helps : )
Mathematics
What is the equation of the line graphed below? a. y=mx b. y=m(x+1) c. y=mx+b d. y=m/x+1
Step-by-step answer
P Answered by Master 
5
The answer is a, cause it intersects at the origin and the gradient is m, thus thats why its a straight line
Mathematics
What is the slope of this linear function? y=−4x−9
Step-by-step answer
P Answered by Master
The slope of the given linear function is -4.
Step-by-step explanation:
We have been given the linear equation 
The slope intercept form of a line is given by 
Here, b is y-intercept and m is the slope.
On comparing, the given equation with the slope intercept form, we get
b = -9
m = -4
It means that the y-intercept is -9 and the slope of the line is -4.
Therefore, the slope of the given linear function is -4.
Mathematics
Triangle abc is transformed to obtain triangle a′b′c′: a coordinate grid is labeled from negative 12 to 0 to 12 on both x- and y-axes at increments of 1. triangle abc has a at ordered pair 2, 2, b at 2, 10, c at 8, 12. triangle a prime b prime c prime has a prime at ordered pair negative 1, negative 1,b prime at negative 1, negative 5, c prime at negative 4, negative 6. which statement is correct for triangle abc. and triangle a prime b prime c prime.? triangle abc is similar to triangle a prime b prime c prime., because triangle a prime b prime
Step-by-step answer
P Answered by PhD 31
Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 2. and then rotating it about the origin by 180 degrees
Step-by-step explanation:
All the coordinates of A'B'C' are -1/2 times those of ABC. The dilation factor is 1/2, and rotation by 180° is indicated.
A'(-1, -1) = (-1/2) × A(2, 2)
B'(-1, -5) = (-1/2) × B(2, 10)
C'(-4, -6) = (-1/2) × C(8, 12)
___
Rotation by 180° negates both coordinates. It is equivalent to reflection across the x-axis and reflection across the y-axis, in either order.
Mathematics
Write an equation for the parabola shown in the picture.
Step-by-step answer
P Answered by PhD 1
D. x-2 = (-2/9)(y +3)^2
Step-by-step explanation:
The parent function, x = y^2 is translated 2 units to the right and 3 units down. This means x is replaced by x-2, and y is replaced by y+3.
There is also a horizontal scale factor involved. It is useful to use the point (0, 0) to determine what it is.
... (x -2) = a(y +3)^2 . . . . . the translated function with unknown factor "a"
... 0 -2 = a(0 +3)^2 . . . . . .substitute (x, y) = (0, 0)
... -2 = 9a . . . . . . . . . . . . . simplify
... a = -2/9 . . . . . . . . . . . . .divide by the coefficient of "a"
So, the graph is described by ...
... (x-2) = (-2/9)(y+3)^2 . . . . . matches selection D
Mathematics
Which sequence of transformations will change figure pqrs to figure p′q′r′s′? a coordinate grid is labeled from negative 5 to 0 to 5 on both x and y axes at increments of 1. figure pqrs has p at ordered pair 1, 2, q at 2,1, r at 3,2, s at 3,3. figure p prime q prime r prime s prime has p prime at ordered pair 1,negative 2, q prime at 2,negative 1, r prime at 3,negative 2 and s prime at 3,negative 3. counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis counterclockwise rotation about the origin by 180
Step-by-step answer
P Answered by Master
Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has vertices[tex]p(1,2),q(2,1),r(3,2),s(3,3)[/tex]recall that for counterclockwise rotation about the origin, [tex](x,y)\rightarrow (-x,-y)[/tex]when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become[tex]p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)[/tex]next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,[tex]p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)[/tex]therefore the correct answer is c
Mathematics
What is the result when 2x^3 -9x^2 +11x-6 is divided by x-3 ? show the work?
Step-by-step answer
P Answered by PhD 42
Step-by-step explanation:
2x^3 -9x^2 +11x-6 divided by x-3
We use long division
2x^2 - 3x + 2
x - 3 2x^3 - 9x^2 + 11x - 6
2x^3 - 6x^2
(subtract)
-3x^2 + 11x
-3x^2 + 9 x
(subtract)
2x - 6
2x - 6
(subtract)
Quotient : 2x^2 - 3x + 2
Mathematics
Find the measure of one exterior angle of the following polygon: nonagon
Step-by-step answer
P Answered by PhD 1
40°
Step-by-step explanation:
An exterior angle and an interior angle are supplementary angles.
Two Angles are Supplementary when they add up to 180°.
Therefore the measure of exterior angle is equal to different between 180° and an interior angle.
Method 1:
You can use the formula of the measure of interior angle of the regular polygon with n-sides:
We have a nonagon. Therefore n = 9. Substitute:
Method 2:
Look at the picture.
- it's an interior angle
We know: The sum of measures of these three angles of any triangle is equal to 180°.
Therefore:
Substitute:
- it's a exterior angle
substitute:
Mathematics
Two problems here i need solved! i need every step, so have that with your 1. solve this rational equation: [tex] frac{1}{(x-4)}+ frac{x}{(x-2)}= frac{2}{x^{2}-6x+8}[/tex]1. solve this radical equation: [tex] sqrt{x+11} -x=-1[/tex]
Step-by-step answer
P Answered by PhD 3
QUESTION 1
We want to solve,
We factor the denominator of the fraction on the right hand side to get,
This implies 
We multiply through by LCM of 
We expand to get,
We group like terms and equate everything to zero,
We split the middle term,
We factor to get,
But 
is not in the domain of the given equation.
It is an extraneous solution.
is the only solution.
QUESTION 2
We add x to both sides,
We square both sides,
We expand to get,
This implies,
We solve this quadratic equation by factorization,
But 
is an extraneous solution
Mathematics
What is the reverse of “multiply by 6”
Step-by-step answer
P Answered by Specialist 6
Divide by 6
Step-by-step explanation:
The reverse or inverse of multiply by 6 is divide by 6.
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