Answer:
p-6= -14
Step-by-step explanation:
p-6 = -14
add 6 to both sides
P= -8
To find the answer, we need to find the coordinate of figure PQRS, but I will only find the coordinate of point P which is:
P(1,-3), and the coordinates of P'(-3,1)
First choice:
Counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis
Counterclockwise rotation 90° means that rotate 270° clockwise, and the formulaa to find it is
270° Rotation
(x,y) to (-y,x)
Point P rotate 270° counterclockwise
(1,-3) to (3,1)
Reflection over x-axis formula is
(x,y) to (x,-y)
Do the same to point P
(3,1) to (3,-1) which is not right because the coordinate of point P is (-3,1) not (3,-1)
Just to save times
Let check the last one
Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis
We already have the coordinate of rotate 90° counterclockwise which is
(3,1)
Then, reflection over y-axis formula is
(x,y) to (-x,y), so
Point P'
(3,1) to(-3,1) which is right. As a result, Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis is your final answer. Hope it help!
Answer:
The time taken for the flare to hit the ground is approximately 10.7 seconds.
Step-by-step explanation:
Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation 
models the h height at t seconds of the flare.
To find : How long will it take for the flare to hit the ground?
Solution :
The equation models the h height at t seconds of the flare.
The flare to hit the ground when h=0.
Substitute in the equation,
Applying quadratic formula, 
Where, a=-16, b=160 and c=120
Reject the negative value.
Therefore, the time taken for the flare to hit the ground is approximately 10.7 seconds.
Answer:
132 green marbles
Step-by-step explanation:
green : purple
11 : 8
? : 96
first divide 96 by 8:
96 ÷ 8 = 12
this allows us to know how much it went up by
next, take 11 and multiply it by 12:
11 x 12 = 132
there are 132 green marbles
