Answer:
-2x-5y+8z+4.5=0
Step-by-step explanation:
Let (x,y,z) be the coordinates of the point lying on the needed plane. This point is equidistant from the points (-3, 5, -4) and (-5, 0, 4), so

Answer:
The age of youngest brother is <u>21</u>.
Step-by-step explanation:
Given:
The ages of 3 brothers are represented by consecutive integers.
If the oldest brother's age is decreased by twice the younger brother's age, the result is -19.
Now, to find the age of youngest brother.
Let the age of youngest brother be 
Let the age of middle one be
.
And the age of oldest brother age be 
According to question:

⇒ 
⇒ 
Adding
on both sides we get:
⇒ 
Adding 19 on both sides we get:
⇒ 
Now, getting the age of youngest brother by putting the value of
:

⇒ 
Therefore, the age of youngest brother is 21.
Answer: 18/25 chapters / hour
Step-by-step explanation:
<u>Concept:</u>
Here, we need to know the idea of unit rate.
A unit rate is a rate with 1 in the denominator.
In simple words, the unit rate is something per one thing. For example, when you go to a store, you bought a book that is priced at $10. In actually meaning, it is $10 per book, or $10/book.
<u>Solve:</u>
<em>Given formula</em>
Unit rate = Number of chapters / Hours
<em>Substitute the value into the formula</em>
Unit rate = (3/5) / (5/6)
<em>Convert to multiplication by taking the reciprocal of the divisor</em>
Unit rate = (3/5) · (6/5)
<em />
<em>Numerator times numerator / denominator times denominator</em>
Unit rate = (3 × 6) / (5 × 5)
Unit rate = 18 / 25 chapter / hour
Hope this helps!! :)
Please let me know if you have any questions
Find the answer in the attachment.
50 plus 5x= y X is the number of weeks and y is the total amount.
Ex. 50+5x3=65 dollars