In this item, we are not given with the figure but knowing that these lines ought to be perpendicular then we will be able to derive the relationship between the slopes of the line.
The slopes of the perpendicular line are the negative reciprocals of one another. If we represent the slopes of the lines as m₁ and m₂, the relationship can be written in the form,
(m₁)(m₂) = -1
We are given with one of the slopes. To determine the value of the second slope then,
m₂ = -1/m₁
m₂ = -1/(2/5)
m₂ = -5/2
<em>ANSWER: m₂ = -5/2</em>
Answer:
{(-2, -7), (-1, -5), (0, -3), (1, -1), (2, 1)}
Step-by-step explanation:
Consider an element in the set we want to achieve. This element can be written as the ordered pair (x, y), where x comes from the set {-2, -1, 0, 1, 2} and given some value of x, we can find y (with the formula y = 2 * x - 3).
So to begin finding the set of all pairs in the resulting set, we first begin by listing out all values of x in each pair:
(-2, y)
(-1, y)
(0, y)
(1, y)
(2, y)
Now to find y, we use the formula y = 2 * x - 3, and we get
(-2, 2 * (-2) - 3)
(-1, 2 * (-1) - 3)
(0, 2 * (0) - 3)
(1, 2 * (1) - 3)
(2, 2 * (2) - 3)
which simplifies to
(-2, -7)
(-1, -5)
(0, -3)
(1, -1)
(2, 1)
Answer: Only 57 percent of babies stay asleep for eight hours straight at the age of one year, Canadian researchers found
Step-by-step explanation:
Answer:
Step-by-step explanation:
im pretty sure its A, B, D
Hope this helps!
-Delilah
A) The larger and small triangles are similar, so
8/10 = x/15
x = (8*15)/10 = 12
b)find the altitude x
tan 40 = x / 5
x = 5 tan 40 = 4.195
By Pythagoras theorem:-
y = sqrt ( 4.195^2 + 11^2)
y = 11.8 to 3 significant figures
