Answer:
y = 8
Step-by-step explanation:
Line1 with points (4, 1) and (0, 0):
slope = (y₂ - y₁) / (x₂ - x₁)
= (0 - 1) / (0 - 4)
= 1/4
Perpendicular line is opposite inverse so original slope 1/4 becomes -4/1 or simply -4.
Line2 with points (1, 0) and (-1, y):
slope = (y₂ - y₁) / (x₂ - x₁)
= (y - 0) / (-1 - 1)
= y / -2
y must equal to 8 for the slope to be -4 as stated above.
Answer:
y = 5x + (anything except negative 10)
For example:
y = 5x + 5
Step-by-step explanation:
A parallel equation is any equation with the same slope, but a different y intercept. As long as your y intercept isn't<em> -</em> 10, your answer will be parallel.
Answer:
Yes
Step-by-step explanation:
If the garden is 1O by 12 feet then the entire area is 120 feet. If one seed packet needs 40 feet then there will have to be 120 feet to have enough space for all three.
120 = 120, so Jules has enough space.
Stay safe! <3
Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = 
= 
= 
, then
∠ A = 
( ) ≈ 41° ( to the nearest degree )
The sum of the angles in the triangle = 180° , then
∠ B + 41° + 90° = 180°
∠ B + 131° = 180° ( subtract 131° from both sides )
∠ B = 49°
Using Pythagoras' identity in the right triangle
AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )
AB = 
≈ 10.6 ( to the nearest tenth )
