Answer:
Step-by-step explanation:
Given
Points (-1,7) and (1,3)
Formula
m = (y2 = y1) / (x2 - x1)
y2 = 7
y1 = 3
x2 = - 1
x1 = 1
Solution
m = (7 - 3) / (-1 - 1)
m = 4 / - 2
m = - 2
Now use either one of the points to get b in y = mx + b
x = 1
y = 3
m = - 2
y = mx + b
3 = -2 (1) + b
3 = -2 + b
b = 3 + 2
b = 5
Equation: y = - 2x + 5
Second question.
y = -2 + 1
Think money. You have a dollar in your pocket, but you owe your mom 2 dollars. Where are you.
y = -2 + 1
y = - 1
Putting a ladder up against a straight wall. The sides of the triangle are:
1: the ladder
2: the walls
3: the ground from the wall to the ladder
Answer: 4 feet < Length < 21 feet
Step-by-step explanation:
From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:
Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:
4 feet < Length < 21 feet
Answer:
<u>Perimeter</u>:
= 58 m (approximate)
= 58.2066 or 58.21 m (exact)
<u>Area:</u>
= 208 m² (approximate)
= 210.0006 or 210 m² (exact)
Step-by-step explanation:
Given the following dimensions of a rectangle:
length (L) =
meters
width (W) =
meters
The formula for solving the perimeter of a rectangle is:
P = 2(L + W) or 2L + 2W
The formula for solving the area of a rectangle is:
A = L × W
<h2>Approximate Forms:</h2>
In order to determine the approximate perimeter, we must determine the perfect square that is close to the given dimensions.
13² = 169
14² = 196
15² = 225
16² = 256
Among the perfect squares provided, 16² = 256 is close to 252 (inside the given radical for the length), and 13² = 169 (inside the given radical for the width). We can use these values to approximate the perimeter and the area of the rectangle.
P = 2(L + W)
P = 2(13 + 16)
P = 58 m (approximate)
A = L × W
A = 13 × 16
A = 208 m² (approximate)
<h2>Exact Forms:</h2>
L =
meters = 15.8745 meters
W =
meters = 13.2288 meters
P = 2(L + W)
P = 2(15.8745 + 13.2288)
P = 2(29.1033)
P = 58.2066 or 58.21 m
A = L × W
A = 15.8745 × 13.2288
A = 210.0006 or 210 m²