Answer:
<h2>
y - 5 = -3(x + 1)</h2>
Step-by-step explanation:
Parallel lines has the same slope.
The equation of a line that passing through point (x₁, y₁) with a slope of m is:
y - y₁ = m(x - x₁)
m = -3
(-1, 5) ⇒ x₁ = -1, y₁ = 5
Therefore the equation:
y - 5 = -3(x + 1)
The sum of -4 and 3 complain more because its negative
Answer:
Step-by-step explanation:
This is an equilateral triangle.
The altitude bisects the 60 degree angle, so a=30
b=60 since its an interior angle of the isosceles triangle.
e = 4 since the two triangles formed by the altitude are congruent.
c = 8 since the side length is 4 + 4 = .
f = 4sqrt3 by the properties of 30 60 90 triangles.
100 notes were altogether
<em><u>Solution:</u></em>
Given that ratio of the number of $2 notes to the number of $5 notes was 4 : 1
number of $2 notes : number of $5 notes = 4 : 1
Let 4x be the number of $ 2 notes
Let 1x be the number of $ 5 notes
Given that total value of notes is $ 260
Therefore,
$ 2 (number of $ 2 notes ) + $ 5(number of $ 5 notes ) = $ 260
$ 2(4x) + $ 5(1x) = $ 260
8x + 5x = 260
13x = 260
x = 20
<em><u>Thus number of notes altogether is given as:</u></em>
4x + 1x = 4(20) + 1(20) = 80 + 20 = 100
Thus 100 notes were altogether
