Area of the figure is 42 in²
Step-by-step explanation:
- Step 1: The area of the figure can be found by calculating the sum of the areas of the rectangle and the right angled triangle.
⇒ Area of the rectangle = length × width = 6 × 5 = 30 in²
⇒ Area of the triangle = 1/2 × base × height = 1/2 × 4 × 6 = 12 in²
∴ Area of the figure = 30 + 12 = 42 in²
First of all let's rearrange the equation for the given line:
4x + 7y + 3 = 0
7y = -4x - 3
y = (-4/7)x - 3/7
Now we know that the gradient of the line is -4/7
The gradients of two perpendicular lines multiply by each other to give -1, ie.
(-4/7)*m = -1
m = -1/(-4/7)
= 7/4, therefor the gradient of the perpendicular line is 7/4
Now we can substitute this and the point (-2, 1) into the equation y - y1 = m(x - x1)
y - 1 = 7/4(x - (-2))
y = 7/4x + 7/2 + 1
y = 7/4x + 9/2
If we look at the given answers then C is correct, since 9/2 = 18/4 and so the equation may also be written as y = 7/4x + 18/4
If I am not mistaken the answer should be
X=5
Y=-1
5-(-1)=6.
Step-by-step explanation:
Use the rhombus properties:
diagonals are perpendicular and divide in half.
In order for the rhombus not to be a square, the diagonals must be of different lengths.
Answer:
I have no clue how to slide this I don't quite understand the problem can you try to explain better?
