Answer:
Angle 2 ZBDC
Step-by-step explanation:
The reason why is because ACD is the same as BDC. What I mean is it has the same angles.
Answer:
Step-by-step explanation:
Part A
Area of a rectangle = length x width
Garden area = 7 3/4 x 2 2/3
= 31/4 x 8/3
= 62/3
= 20 2/3 square feet
Part B
5/8 of the area = 62/3 * 5/8
= 31*5 / 3*12
= 155 / 36
= 4 11/36
The question asks to do so without calculation - the only way is that because the length is approximately 8 feet, section off 5 feet along the length will give an area approximately 5/8 of the total area.
Y = 2x + 4 and y = 3x + 1
Therefore, 2x + 4 = 3x + 1
Answer:
B
Step-by-step explanation:
We want to find the point-slope equation of a line that passes through the points (-1, 4) and (8, -2).
Point-slope form is given by:

Where <em>m</em> is the slope and (<em>x₁, y₁</em>) is a point.
So, let's find the slope of the line first. We can use the slope formula:

We can choose (-1, 4) as our point. So, (<em>x₁, y₁</em>) = (-1, 4).
Substitute:

Simplify:

Therefore, our answer is B.
Answer:

The graph has 1 x-intercept
Step-by-step explanation:
Given

Required
- Discriminant of f
- Number of x intercepts
Let D represent the discriminant;
D is calculated as thus

Where a, b and c are derived from the following general format;

By comparing
with 
We have

Solving further;

So, D can now be calculated;
becomes



Hence, the discriminant of f is 0
From the value of the discriminant, we can determine the number of x intercepts of the graph;
When D = 0, then; there exists only one x-intercept and it as calculated as thus

Recall that

So,
becomes



