Answer:
If the shape is a square, then it is a rectangle
Step-by-step explanation:
Conditional is if-then
Answer:
the slope is -3 and the y intercept is -7
Answer:
x= -1
Step-by-step explanation:
Given ΔABC with A(-6, -1), B(3, 7), and C(4, -6)
Since it is an altitude and pass thru B, t
hen it is perpendicular to AC.
so slope(AC) = (-1 +6)/(-6 - 4) = -5/10 = -1/2
perpendicular lines, slope is opposite and reciprocal so slope = 2
passes through B(3, 7)
y - 7 = 2(x - 3)
y - 7 = 2x - 6
y = 2x + 1
equation in slope intercept form:
y = 2x + 1
Answer:
19,4 or 4,19
Step-by-step explanation:
Let the width of the rectangle be 'w' in
According to the question length of the rectangle (l) is one inch less than five times it's width;
l = (5w - 1) in
Perimeter of rectangle = 46 inches
Formula of perimeter of rectangle = 2(Length + Width)
So,
![\rm \implies 2(Length + Width) = 46 \\ \\ \rm \implies 2(5w - 1 + w) = 46 \\ \\ \rm \implies 2(6w - 1) = 46 \\ \\ \rm \implies 6w - 1 = \dfrac{46}{2} \rm \implies 6w - 1 = 23 \\ \\ \rm \implies 6w = 23 + 1 \\ \\ \rm \implies 6w = 24 \\ \\ \rm \implies w = \dfrac{24}{6} \\ \\ \rm \implies w = 4 \: in](https://tex.z-dn.net/?f=%5Crm%20%5Cimplies%202%28Length%20%2B%20Width%29%20%3D%2046%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5Cimplies%202%285w%20%20-%201%20%2B%20w%29%20%3D%2046%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5Cimplies%202%286w%20-%201%29%20%3D%2046%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5Cimplies%206w%20-%201%20%3D%20%20%5Cdfrac%7B46%7D%7B2%7D%20%20%5Crm%20%5Cimplies%206w%20-%201%20%3D%2023%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5Cimplies%206w%20%3D%2023%20%2B%201%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5Cimplies%206w%20%3D%2024%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5Cimplies%20w%20%3D%20%20%5Cdfrac%7B24%7D%7B6%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Crm%20%5Cimplies%20w%20%3D%204%20%5C%3A%20in)
Width of the rectangle (w) = 4 in
Length of rectangle (l) = 5 × 4 - 1 = 19 in