Answer:
P' (- 7, - 5 )
Step-by-step explanation:
A translation of 3 units to the left means subtractin 3 from the x- coordinate with no change to the y- coordinate, thus
P(- 3, 5 ) → (- 3 - 4, 5 ) → (- 7, 5 )
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
(- 7, 5 ) → P'(- 7, - 5 )
Answer:
x = 13sqrt(3) ft = 22.5 ft
y = 13 ft
Step-by-step explanation:
The triangle is a 30-60-90 right triangle.
The ratio of the lengths of the sides is
short leg : long leg : hypotenuse = 1 : sqrt(3) : 2
From the ratio above we see that the hypotenuse is twice the short leg.
The long leg is sqrt(3) times the short leg.
y = short leg
x = long leg
26 ft = hypotenuse
y = 26 ft/2 = 13 ft
x = 13 ft * sqrt(3) = 13sqrt(3) ft = 22.5 ft
Answer:
15 x 30
Step-by-step explanation:
Distribute -5 to each variable in the parenthesis.
-5 x -3 = 15
-5 x -6 = 30
15 x 30
Answer:
Step-by-step explanation:
a=1
r=-6/1=-6
Answer:
- y = 5x + 11 or -5x + y = 11
Step-by-step explanation:
<u>Given line:</u>
<u>In slope-intercept form:</u>
<u>The parallel line has the same slope and will look as:</u>
<u>This line passes through the point (-2, 1), substitute:</u>
- 1 = 5*(-2) + b
- b = 1 + 10
- b = 11
<u>So the line is:</u>
or