Answer:Q: What is the unknown information that could be found using the Pythagorean theorem?
A: The hypotenuse, or the length of the ladder.
Q: what is the approximate length of the ladder needed, rounding to the nearest hundredth?
A: 12.37 ft.
Answer:
Step-by-step explanation:
x + 70 = 180 {Linear pair}
x = 180 - 70
x = 110
y + 82 = 180 {linear pair}
y = 180 -82
y = 98
x - 4 = 110 - 4 = 106
2y - 40 = 2*98 - 40
= 196 - 40
= 156
The slope-intercept form:

m - slope
b - y-intercept
Convert 2x + 5y = 10 to the slope0intercept form:
<em>subtract 2x from both sides</em>
<em>divide both sides by 5</em>

Let
and 

We have 
Therefore

We have the equation of a line:

Put the coordinates of the point (5, 1) to the equation of a line:

<em>subtract
from both sides</em>

Answer: 
Answer:
There will be an infinite number of solutions.
Step-by-step explanation:
From the given system of equations, we have to find the solution.
The equations are
........... (1) and
- 3x + 4y = - 20 .......... (2)
Now, simplifying the equation (1) we get
4y = 3x - 20
⇒ - 3x + 4y = - 20
which is nothing but the equation (2).
Therefore, the system of equations (1) and (2) are the same straight line.
Hence, there will be an infinite number of solutions. (Answer)
Answer:
No solution
Step-by-step explanation: