Answer:
y = -2x + 5
Step-by-step explanation:
Given:
Passes through point (1, 3)
Perpendicular to x – 2y = -8
Solve:
x – 2y = -8
y = 1/2x + 4
The slope is m = 1/2
The slope of the perpendicular line is the inverse of the slope of the original equation.
The slope of the inverse equation is m = -2.
Making an inverse equation of y = -2x + a
Find a:
Use point, (1, 3) where (x, y):
3 = (-2)*(1) + a
a = 5
y = -2x + 5
Answer:
7 feet
Step-by-step explanation:
the new height of the bush can be represented in percentage form as 100% + 40% = 140% = 1.40
1.40 x 5 = 7 feet
Method 2
find 40% of 5 feet
0.4 x 5 = 2
Add 5 + 2 = 7 feet
The slope represents the how fast the bird is climbing and the Y intercept represents where the bird started to climb
Answer:
of the lasagna is left
<u>Step-by-step explanation:</u>
Given:
Amount of lasagna Rico eats = 1/9
Amount of lasagna His friend eats = 1/18
To Find:
The amount lasagna is left =?
Solution:
Total lasagna ate by both Rico and his friend = Amount of lasagna Rico eats + Amount of lasagna His friend eats
Total lasagna ate by both Rico and his friend = 
Total lasagna ate by both Rico and his friend = 
Total lasagna ate by both Rico and his friend = 
Total lasagna ate by both Rico and his friend = 
The amount lasagna is left = 1 - Total lasagna ate by both Rico and his friend.
The amount lasagna is left = 
The amount lasagna is left =
The amount lasagna is left =
Answer:
Option (1)
Step-by-step explanation:
From the picture attached,
Triangle CAB is a right triangle.
Therefore, m∠1 = 90°
Similarly, m∠ACD = 90°
m∠ACD = m∠ACB + m∠BCD = 90°
= m∠3 + m∠4 = 90°
Since m∠4 = 35°,
m∠3 + 35° = 90°
m∠3 = 90° - 35°
= 55°
In the triangle ABC,
m∠ACB + m∠CBA + m∠BAC = 180° [Property of a triangle]
m∠3 + m∠2 + m∠1 = 180°
55° + m∠2 + 90° = 180°
m∠2 + 145° = 180°
m∠2 = 180° - 145°
= 35°
Since, AB║CD and BC is a transverse,
Therefore, m∠2 = m∠4 = 35° [Alternate interior angles]
Option (1) is the correct option.
