Answer:
y = - x + 69
Step-by-step explanation:
Given the following :
Point on graph : (29, 8)
Equation of line ; y= 5x +17.
From the equation slope of line = 5
Intercept = 17
Slope of perpendicular line = - 1/5 ( negative reciprocal)
Using the equation :
y - y1 = m(x - x1)
From the Point given:
x1 = 29, y1 = 8
y - 8 = (- 1/5)(x - 29)
y - 8 = -1/5x + 29/5
y = -1/5x + 29/5 + 8
Multiply through by 5
y = - x + 29 +40
Given:
The vertex of a triangle MNP are M(-4, 6), N(2, 6), and P(-1, 1).
The rule of dilation is:
The image of triangle MNP after dilation is M'N'P'.
To find:
The coordinates of the endpoints of segment M'N'.
Solution:
The end points of MN are M(-4, 6) and N(2, 6).
Using this rule, we get
And,
The endpoints of M'N' are M'(-6, 9) and N'(3, 9).
Therefore, the correct option is B.
12.1
The dashed line joining M₁ and M₂ is the hypotenuse of a right triangle as shown in red below.
The base of the triangle is
x₂ - x₁ = 2 - (-3) = 2+ 3 = 5
The height of the triangle is
y₂ - y₁ = 16 - 5 = 11
We can now use Pythagoras' theorem to calculate distance between the two midpoints.
x² = 5² + 11² = 25 + 121 = 146
x = √146 = 12.1
The distance between M₁ and M₂ is 12.1.
the greatest common factor is 3
375: 1, 3, 5,11, 15, 25, 75, 125, 375
66: 1, 2, 3, 6, 11, 22, 33, 66
333: 1, 3, 9, 37, 111, 333