Answer:
Part A)
The equation in the point-slope form is:

Part B)
The graph of the equation is attached below.
Step-by-step explanation:
Part A)
Given
The point-slope form of the line equation is

Here, m is the slope and (x₁, y₁) is the point
substituting the values m = 4/3 and the point (-2, 11) in the point-slope form of the line equation


Thus, the equation in the point-slope form is:

Part B)
As we have determined the point-slope form which passes through the point (-2, 11) and has a slope m = 4/3
The graph of the equation is attached below.
Answer:



Step-by-step explanation:
Given

See attachment
Solving (a): 
To solve for
, we make use of:

The relationship between both angles is that they are complementary angles
Make
the subject

Substitute
for 


Solving (b): 
To solve for
, we make use of:
The relationship between both angles is that they are complementary angles

Solving (c): 
To solve for
, we make use of:

The relationship between both angles is that they are alternate exterior angles.
So:

Answer:
Step-by-step explanation:
The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum
The formula for Simple Interest = PRT
From above question, we have to find the Principal
The simple interest on a certain sum for 5years at 8% per annum is Rs200
Hence,
R = 8%
T = 5 years
Rs 200 = P × 8% × 5
P = 200/8% × 5
P = Rs500
The principal = Rs 500
The simple interest on the same sum for 3years and 4months at 18% per annum.
Simple Interest = PRT
R = 18%
T = 3 years and 4 months
Converted to years
T = 3 + (4 months/12 months)
T = 3.33 years
Hence,
Simple Interest = Rs 500 × 18% × 3.33 years
= Rs 299.7
Answer:
-3,8
Step-by-step explanation: