Answer:
y = 5/4x - 4
Step-by-step explanation:
First, find the slope by doing change in y/change in x
You have the points (4, 1) and (0, -4), so the slope would be:
-4 - 1 / 0 - 4 = -5 / -4 = 5/4
Then, find the y-intercept
It gives you that the y-intercept is (0, -4).
Now put the equation in the form y = mx + b where m is the slope and b is the y-intercept.
You have that m = 5/4 and b = -4, so it would be y = 5/4x - 4.
Answer:
105
Step-by-step explanation:
So, we know the formula is:
D=rt or D=r*t
We only need 2 of the 3 sets of values given in the table, one to find our answer, and the other to double check our answer.
Here are the two sets we can look at:
t=2, d=210
t=3, d=315
Lets plug these in and solve:
210=r*2
Divide both sides by 2 to get r alone:
105=r
Now lets check if this is true by pluggin in 105 for r in the second set, and seeing if it works:
D=r*t
315=105*3
=
315=315
So 105 is our answer.
Hope this helps!
Given:
The vertices of the quadrilateral ABCD are A(3,8), B(6,5), C(5,4), and D(2,7).
To find:
Whether the given quadrilateral is a rectangle, a rhombus or a square.
Solution:
Distance formula: The distance between two points is
Using distance formula, the side lengths are:
Similarly,
The length of diagonals are:
From the above calculation, we conclude that the given quadrilateral has two pairs of congruent opposite sides and equal diagonals.
Opposite sides of a rectangle are equal and its diagonals are also equal.
Therefore, the given quadrilateral ABCD is a rectangle.