Answer:
1. D y = 8
2. C y = −8
Step-by-step explanation:
1.Both points have y-coordinate 8, so the line is horizontal.
A horizontal line has equation y = k
where k is the y-coordinate of all of its points.
The y-coordinate of all points on this line is 8.
Answer: y = 8
2.A line with 0 slope is a horizontal line. All points on a horizontal line have the same y-coordinate.
A horizontal line has equation
y = k
where k is the y-coordinate of all of its points.
The y-coordinate of the given point is -8, so all points must have -8 as the y-coordinate.
Answer: y = -8
Step-by-step explanation:
I am not sure what your problem here is.
you understand the inequality signs ?
anyway, to get
6×f(-2) + 3×g(1)
we can calculate every part of the expression separately, and then combine all the results into one final result.
f(-2)
we look at the definition.
into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?
is -2 < -2 ? no.
is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.
so, we have to use
1/3 x³
for x = -2 that is
1/3 × (-2)³ = 1/3 × -8 = -8/3
g(1)
again, we look at the definition.
into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?
is 1 > 2 ? no.
is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.
so we have to use
2×|x - 1| + 3
for x = 1 we get
2×0 + 3 = 3
6×f(-2) = 6 × -8/3 = 2× -8 = -16
3×g(1) = 3× 3 = 9
and so in total we get
6×f(-2) + 3×g(1) = -16 + 9 = -7
Answer:
∠FJH ≅ ∠BJA
Step-by-step explanation:
From the image we can see that the only congruent relation ∠FJH has is with ∠BJA which is due to these angles being vertically opposite
So, ∠FJH and ∠BJA are vertically opposite and hence, congruent. We can say that ∠FJH ≅ ∠BJA
Answer:
(-5 , 1)
Step-by-step explanation:
If you are reflecting over the x-axis, you are changing the sign of the y.
If you are reflecting over the y-axis, you are changing the sign of the x.
In this case, you have the point (5 , 1). You are reflecting over the y-axis, which means that you are flipping the sign of the x value.
(5 , 1) reflected over the y-axis is (-5 , 1)
(-5 , 1)
~
Answer:
See explanation
Step-by-step explanation:
Among 806 people asked which is there favorite seat on a plane, 492 chose the window seat, 8 chose the middle seat, and 306 chose the aisle seat, then
a) One randomly selected person preferes aisle seat with probability
b) Two randomly selected people both prefer aisle seat (with replacement) is
c) Two randomly selected people both prefer aisle seat (without replacement) is
