Answer:
See image below:)
Step-by-step explanation:
Answer:
The coordinates of the point b are:
b(x₂, y₂) = (-5, -1)
Step-by-step explanation:
Given
As m is the midpoint, so
m(x, y) = m (-7, -2.5)
The other point a is given by
a(x₁, y₁) = a(-9, -4)
To determine
We need to determine the coordinates of the point b
= ?
Using the midpoint formula

substituting (x, y) = (-7, -2.5), (x₁, y₁) = (-9, -4)

Thus equvating,
Determining the x-coordinate of b
[x₂ + (-9)] / 2 = -7
x₂ + (-9) = -14
x₂ - 9 = -14
adding 9 to both sides
x₂ - 9 + 9 = -14 + 9
x₂ = -5
Determining the y-coordinate of b
[y₂ + (-4)] / 2 = -2.5
y₂ + (-4) = -2.5(2)
y₂ - 4 = -5
adding 4 to both sides
y₂ - 4 + 4 = -5 + 4
y₂ = -1
Therefore, the coordinates of the point b are:
b(x₂, y₂) = (-5, -1)
Answer:
3(2x-5)=6x+k
6x-15=6x+k
6x-6x=k+15
0=k+15
k=-15
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that a survey showed that 72% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight
X - number of people who need correction for their eyesight
X is binomial since each event is independent and there are only two outcmes.
X (18, 0.72)
Required probability = the probability that no more than 1 of them need correction for their eyesight.
=P(X=0)+P(X=1)=0.00000296+0.000137
=0.00014
Yes 1 is a significantly low number as probability is almost zero.