Answer:
put points on (1.5, 0) and (0, -1), then draw a continuous line through them
Step-by-step explanation:
y - 3 = -2/3(x + 6)
y - 3 = (-2/3)x - 4
y = (-2/3)x - 1
0 = (-2/3)x - 1
1 = (-2/3)x
x = 3/2 = 1.5
y = (-2/3)(0) - 1
y = -1
Answer:
42.64°
Step-by-step explanation:
Note: A rhombus has all its sides equal, its opposite angle are equal, its has bigger and smaller diagonal, diagonal bisect the angles and diagonal bisect each other.
From the diagram attached,
sinθ = opposite/adjacent
sinθ = 4/11
θ = sin⁻¹(4/11)
θ = 21.32
Therefore, from the diagram,
The smaller angle of the rhombus = 2θ
The smaller angle of the rhombus = (2×21.32)
The smaller angle of the rhombus = 42.64°
Using the Pythagorean Theorem,

(See attachment)
Let us substitute the values and solve for b in terms of
.

Grouping the
terms on one side gives,

We now apply difference of two squares to obtain,





,
Testing for some few values greater than 1, we can generate the Pythagorean triples as follows;
When 



When 



Answer:
The center is (9,-8) and the diameter is 8
Step-by-step explanation:
(x − 9)^2 + (y + 8)^2 = 16
A circle is in the form
(x − h)^2 + (y -k)^2 = r^2 where (h,k) is the center and r is the radius
(x − 9)^2 + (y - -8)^2 = 4^2
The center is (9,-8) and the radius is 4
The diameter is 2 times the radius so the diameter is 8
The center is (9,-8) and the diameter is 8
I think the answer might be 60
I did 70+50 then take that away from 180