(please help.) (I screenshot the question and choices )
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Four less than the product of a number and 7 is eight more than that number
Which is an inccorect rounding of 53.864
Is 1/3 closer to 0 or 0.5
8% of the rides in the park are water rides. If there are 4 water rides, how many rides are there in total?
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Answer: To find the product of 5.05 and 5, you simply multiply the two numbers together:
5.05 * 5 = 25.25
Therefore, the product of 5.05 and 5 is 25.25.
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from the relation: (sin2(x) +cos2(x) =1 )
so , sin2(x)=1-cos2(x)
by subs. in the main eqn.
1-cos2(x) + cos(x) =1
by simplify the eqn.
cos(x) -cos2(x)=0
take cos(x) as a common factor
cos(x)* (1-cos(x))=0
then cos(x)=0 && cos(x)=1
cos(x)=0 if x= pi/2
& cos(x) = 1 if x = 0 , 2*pi
so the solution is x= {0,pi/2 , 2*pi}
Answer:
Which statements did you include in your answer?
Isolate sin(x) by adding 4 and taking the square root of both sides.
State that sin(x) = 2 or sin(x) = –2.
State that –2 and 2 are undefined values of the inverse sine function.
There are no solutions because –2 and 2 are not in the domain of the function.
Step-by-step explanation:
Give the coordinates of the image triangle A'B'C' after a 90° counterclockwise rotation about the origin.
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Answer: A'(-2, -3), B'(-4, 0), C'(-6, -10)
Step-by-step explanation:
To rotate a point (x, y) counterclockwise by 90 degrees about the origin, we can use the following formulas:
x' = -y
y' = x
Let's apply these formulas to each vertex of triangle ABC:
For point A(-3, 2):
x' = -2
y' = -3
So, the coordinates of A' are (-2, -3).
For point B(0, 4):
x' = -4
y' = 0
So, the coordinates of B' are (-4, 0).
For point C(-10, 6):
x' = -6
y' = -10
So, the coordinates of C' are (-6, -10).
Therefore, after a 90° counterclockwise rotation about the origin, the coordinates of the image triangle A'B'C' are A'(-2, -3), B'(-4, 0), and C'(-6, -10).
I hope this helps :)
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The question says to identify an equation in point-intercept form for the line that's parallel to y = -3x + 7 that passes through (2, -4).
If you need to find an equation in point-intercept form that passes through a point, you will substitute the coordinate in this formula:
-> y - yo = m (x - xo)
Where:
(2, -4) -> xo = 2 ; yo = -4
m = Slope
You don't have the slope, but you have the information that the line is parallel to y = -3x + 7. Then you need to know that to a line be parallel to another the Slopes of each other must be equal, mr = ms.
Let's find the slope of the equation given, it is in a slope-intercept form, so:
y = mx + b
R: y = -3x + 7 // I will call this one R line, and the other S.
mr = -3
If the mr = ms, and mr = -3, then the ms = -3 too.
S: y - yo = ms (x - xo) // (2, -4) & ms = -3
-> y - (-4) = -3 (x - 2)
-> S: y + 4 = -3 (x - 2) -> This is the point-slope form.
-> y = -3x + 6 - 4
-> S: y = -3x - 2 -> This is the slope-intercept form.
I didn't understand what is the point-intercept form that the question requests, but by logic, i think that's the point-slope form.
Answer: The equation in point-intercept form is: y + 4 = -3 (x - 2).