The total area of the figure is the area of the square plus the area of the rectangle plus the area of the triangle.
area of the square: (6)*(6)=36cm^2
area of the rectangle: (7)*(6)=42cm^2
area of the triangle: (1/2)*(8)*(6)=24cm^2
total area
At=36+42+24=102cm^2
When adding two rational numbers,if a pair of addends has opposite signs ,then the sum will have the sign of the addenda with the greater value among the two.
These examples can better illustrate this concept:
Example 1:
23 + (-3) = 20 (The greater among the two is positive and the result is also positive)
Example 2:
-23 + 3 = -20 (The greater among the two is negative and the result is also negative)
Answer:
B
Step-by-step explanation:
2.0 x 10^7
Answer:
The first one is 7 and the second one is 8.
Step-by-step explanation:
Given:
Equation of line
.
To find:
The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.
Solution:
The given equation of line can be written as

Slope of line is



Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is


![[\because m_1=\dfrac{7}{4}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20m_1%3D%5Cdfrac%7B7%7D%7B4%7D%5D)
Now, the slope of perpendicular line is
and it goes through (-21,2). So, the equation of line is






Therefore, the required equation in slope intercept form is
.