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:
Niche
Step-by-step explanation:
Ecology dfn of niche
The length of the line segment BC is 31.2 units.
<h2>Given that</h2>
Triangle ABC is shown.
Angle ABC is a right angle.
An altitude is drawn from point B to point D on side AC to form a right angle.
The length of AD is 5 and the length of BD is 12.
<h3>We have to determine</h3>
What is the length of Line segment BC?
<h3>According to the question</h3>
The altitude of the triangle is given by;
Where x is DC and y is 5 units.
Then,
The length DC is.
Squaring on both sides
Considering right triangle BDC, use the Pythagorean theorem to find BC:
Hence, the length of the line segment BC is 31.2 units.
To know more about Pythagoras Theorem click the link given below.
brainly.com/question/26252222
Answer:
MON= 57
Step-by-step explanation:
5x-23+3x-15=90
8x-38=90
8x=128
x=16
PLUG 16 INTO MON EQUATION
5(16)-23=57
therefore,
MON=57
USE COMPLEMENTARY FOR PROBLEMS LIKE THIS :)))
(btw, assuming that the angle is 90 degrees)
So firstly, square root 9a^2 and 49: 
Next, combine like terms, and your answer will be 
, or the third option.
