Answer:
y = -3x + 21
Step-by-step explanation:
(5,6)
y = mx + b
6 = -3 × 5 + b
solving for b
b = 6 - (-3)(5)
b = 21
Therefore,
y = -3x + 21
Answer:
balloons= 9
candles= 8
Step-by-step explanation:
let the number of balloons be x
and candles be y
So
15x+8y=192----------1
x+y=17--------------2
from 2, x= 17-y
put x= 17-y in 1
15( 17-y)+8y=192
255-15y+8y=192
solve for y
-7y=192-255
-7y=-63
x=63/7
x=9
put x= 9 in 1
9+y=17
y= 17-9
y=8.
The illustration of the given mathematical elements is as in the attached images.
<h3>Illustration of mathematical elements</h3>
For line segments;
- The beginning and end of the line are specified by the assigned alphabets.
However, for rays;
- The ray is illustrated to originate from a point and span on from there till infinity.
For angles;
- The alphabet in the middle of the set of 3 alphabets used to identify the angle represents the center point of where the angle is located.
Read more on illustration of mathematical elements;
brainly.com/question/18430725
To solve the problem w must know about the Associative property.
<h2>Associative property</h2>
The associative property states that the addition of the sum of two numbers (a,b) and a third number(c) is equal to the addition of the sun of the last two numbers(b, c) and the first number(a).
The property that will allow Carmen to do this without changing the value of the expression is the Associative property.
<h2>Explanation</h2>
Given to us
<h3>Associative property.</h3>
Now, using Associative property,
(6.21 + 0.93 ) + 0.07
= 6.21 + (0.93 + 0.07)
=6.21 + (0.93 + 0.07)
Hence, the property that will allow Carmen to do this without changing the value of the expression is the Associative property.
Learn more about Associative property:
brainly.com/question/1680548
Answer:
False
Step-by-step explanation:
Parallel lines never touch
