Answer:
The answer is 35.5 square units
Step-by-step explanation:
The shape represents a rectangle, a small triangle removed from it at the upper right corner and a bigger triangle is attached to it at the upper left corner.
We get this formula:
A(shape) = A(rectangle) - A(small triangle) + A(big triangle)
SO LET'S FIND EACH!
A(rectangle)= length x width
length= 8 units
width= 4 units
We get:
A(rectangle) =8x4= 32 square unit
A(small triangle)= (base x height)/2
base= 1 unit
height= 1 unit
We get:
A(small triangle) = (1x1)/2 = 1/2 = 0.5 square units
A(big triangle)= (base x height)/2
base= 2 units
height= 4units
We get:
A(big triangle)= (2x4)/2 = 8/2 = 4 square units
For the final result:
A(shape) = 32 - 0.5 + 4 = 35.5 square units
Answer:
The answer should be (7, 5)
The slope is (4-3)/(7-2)=1/5
using the point (7,4), the point-slope form is y-4=(1/5)(x-7)
Answer:
10 1/4
Step-by-step explanation:
Statement 1: 12*5/6 = 10. 10 > 5/6 but < 12. Statement 2: 1/5*5/6 = 1/6. 1/6 < 1/5 and 1/6 < 5/6. Statement 3: 12*3/3 = 12. 12 = 12. We know that the expression satisfies the statement 1 because we are multiplying the first factor by a fraction less than one, so the product cannot be more than the first factor. Statement 2: we are multiplying to two fractions together which results in an even smaller fraction. Statement 3: you’re multiplying the factor by 1, which results in the product equaling one of the factors.