Answer:
Step-by-step explanation:
<h3>To prove quadrilateral is a square:</h3>
a) Slope of CB
C(-3,-1) ; B = (0,3)
![\sf = \dfrac{3-[-1]}{0-[-3]}\\\\ =\dfrac{3+1}{0+3}\\\\ = \dfrac{4}{3}](https://tex.z-dn.net/?f=%5Csf%20%3D%20%5Cdfrac%7B3-%5B-1%5D%7D%7B0-%5B-3%5D%7D%5C%5C%5C%5C%20%3D%5Cdfrac%7B3%2B1%7D%7B0%2B3%7D%5C%5C%5C%5C%20%3D%20%5Cdfrac%7B4%7D%7B3%7D)
b) D(1,-4) ; A(4,0)
![Slope \ of \ DA = \dfrac{0-[-4]}{4-1}\\](https://tex.z-dn.net/?f=Slope%20%5C%20of%20%5C%20DA%20%3D%20%5Cdfrac%7B0-%5B-4%5D%7D%7B4-1%7D%5C%5C)
Slope of CB = slope of DA
c) C(-3,-1) ; D(1 , -4)
![\sf Slope \ of \ CD =\dfrac{-4-[-1]}{1-[-3]}](https://tex.z-dn.net/?f=%5Csf%20Slope%20%5C%20of%20%5C%20CD%20%3D%5Cdfrac%7B-4-%5B-1%5D%7D%7B1-%5B-3%5D%7D)
So, CD is perpendicular to CB
d) B(0,3) ; D(1,-4)
e) C(-3,-1) ; A(4,0)
![\sf Slope \ of \ CA = \dfrac{0-[-1]}{4-[-3]}\\](https://tex.z-dn.net/?f=%5Csf%20Slope%20%5C%20of%20%5C%20CA%20%3D%20%5Cdfrac%7B0-%5B-1%5D%7D%7B4-%5B-3%5D%7D%5C%5C)
So, CA is perpendicular to BD
Answer:
The base area is 3.24 dm^3
Step-by-step explanation:
Let the total volume of the cube be x l
3/4 of this is 4.374 l
Thus, we have it that;
3/4 * x = 4.374
3x = 4 * 4.374
x = (4 * 4.374)/3
x = 5.832 L
The volume of a cube is the length of its side raised to the power of 3
Let us have the length as y
so;
y^3 = 5.832
y = cube root of 5.832
y = 1.8 dm
The area of the base is simply the side length raised to the power of 2
we have this as:
1.8 * 1.8 = 3.24 dm^2
Answer:
The believe the rate of change is 3
Step-by-step explanation:
Using rise and run
And also the x1 y1 * x2 y2 formula
Answer:
y=-1
Step-by-step explanation:
do one half of 30 which is 15 (basically 0.5 multiplied by 30 but easier)
you plug in the 15
do 14-15
since there are not enough positive numbers to solve it becomes -1
Answer:6 x 30 =18 x ex
180= 18 ex
ex =180/18
number of days = 10
Step-by-step explanation:
