Answer:
b
Step-by-step explanation:
To find the slope you use the slope formula y2-y1 / x2-x1. So use two point on the line we will make ours (1,2) and (3,4). Substitute to make 4-2 / 3-1 = 1/1 so using the rise over run method. The line rises up one and runs by one. The slash mark means divide, it's easiest in a fraction.
Also if you come across the equation y=mx+b, m is the slope and b is the y-intercept, this is called slope intercept formula.
Answer:
B)
x units
Step-by-step explanation:
Let quadrilateral KMPT be a rectangle with dimensions 12 units by 8 units. Then its perimeter would be equal to:
Perimeter of a rectangle = 2 (l + b)
where: l is the length = 12 units and b is the breadth = 8 units. So that:
Perimeter of KMPT = 2 (12 + 8)
= 40 units
Dilating KMPT by a scale factor of
would create K'M'P'T' of dimensions;
× 12 units by
× 8 units. Thus, the dimensions of K'M'P'T' would be 9 units by 6 units.
Perimeter of K'M'P'T' = 2 (l + b)
= 2(9 + 6)
= 30 units
Comparing the perimeters of KMPT and K'M'P'T', the perimeter of K'M'P'T' would be
× perimeter of KMPT.
Therefore, if the perimeter of KMPT is x units, then;
perimeter of K'M'P'T' =
* x units
=
x units
Answer:
![\boxed{\bold{57 \ Ft.}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cbold%7B57%20%5C%20Ft.%7D%7D)
Step-by-step explanation:
- Assignment: Find area of rectangle without triangle
Area of whole rectangle including triangle: 66 Feet
(6 * 11 = 66)
Area of Triangle: ![\bold{\frac{1}{2}Base \ \cdot \ Height }](https://tex.z-dn.net/?f=%5Cbold%7B%5Cfrac%7B1%7D%7B2%7DBase%20%5C%20%5Ccdot%20%5C%20Height%20%7D)
Height: 3
Base: 6 (Solved by using this: (11 - 2 + 3))
Half of base: 3
3 * 3 = 9
66 - 9 = 57