Using the distance formula, the distance from:
School to Library (SL) = 5 units.
Library to Park (LP) = 10 units.
<h3>What is the Distance Formula?</h3>
To calculate the distance between two points on a coordinate plane, the distance formula used is: 
.
Given the coordinates of each location as:
- School, S = (0, 4)
- Library, L = (4, 1)
- Park, P = (-4, -5)
Distance from School to Library (SL):
SL = √[(4−0)² + (1−4)²]
SL = √[(4)² + (−3)²]
SL = √25
SL = 5 units
Distance from Library to Park (LP):
LP = √[(4−(−4))² + (1−(−5))²]
LP = √[(8)² + (6)²]
LP = √100
LP = 10 units
Learn more about the distance formula on:
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Answer:
12
Step-by-step explanation:
<h2>3 ÷1/<u>4= 12</u></h2>
We have two right triangles and three different rectangles.
The formula of an area of a right triangle:
l₁, l₂ - legs
We have l₁ = 20cm and l₂ = 21cm. Substitute:
The formula of an area of a rectangle:
l - length
w - width
We have:
rectangle #1: l = 22cm, w = 29cm
rectangle #2: l = 22cm, w = 21cm
rectangle #3: l = 22cm, w = 20cm
The total Surface Area of the triangular prism:
Answer and Step-by-step explanation: <u>Standard</u> <u>form</u> of a quadratic equation is expressed as: y=ax²+bx+c, while <u>vertex</u> <u>form</u> is written as:
y=a(x-h)²+k.
The similarities between standard and vertex forms is that they show if the graph of the equation has a <u>minimum</u> (when a>0) or <u>maximum</u> (a<0) and it's easier to determine the y-intercept: for standard, the value of c is the intercept; for vertex, the value k is the intercept.
The advantage of standard form is that you can determine the product and sum of the equation's roots, which is a method to determine them.
The advantages of vertex form are: easier to find the vertex of the graph, which is the pair (h,k) and the axis of symmetry, which is the value of h.
6 / (2/5) = 15
It should take the nail 15 minutes to crawl 6 meters.
