Para sacar la pendiente de dos coordenada:
X1-X2/Y1-Y2
Entonces:
-5-5/-4-1=-10/-5=2 esa es la pendiente
Answer:
20 pages
Step-by step:
4 pages = 20%
20(5)=100 so 4(5)= 100% of the book
4(5)= 20
the book has 20 pages.
Answer:
The geometrical relationships between the straight lines AB and CD is that they have the same slope
Step-by-step explanation:
Given


Required
The relationship between AB, CD
Since AB is a straight line and O is the origin, then:

Where:
====> 
====>
This implies that:
So:



So, we have:


Calculate the slope (m) of 

For AB


For CD



By comparison:

This implies that both lines have the same slope
So find the difference between 1995 and 2022 to make it easier
2022-1995=27
so the rephrased question is
when hazel was x years old, she was 25 years older than son gary who was y old at that time (equation is x is 25 more than y or x=25+y)
in 27 years, (this means x+27 and y+27) hazel's age will be 150% of gary's age (x+27= 150% of y+27)
percent means parts out of 100 so 150%=150/100=15/10=1.5
'of' in math means multiply so
the equations are
x=25+y
x+27=1.5(y+27)
subsitute 25+y for x in second euation
25+y+27=1.5(y+27)
add like terms
y+52=1.5(y+27)
I personally dislike decimals to multiply both sides by 2 to make 2 0.5's or 1 (you are technically supposed to distribute or divide both sides by 1.5) so
2y+104=3(y+27)
distribute
2y+104=3y+81
subtract 2y from both sides
104=y+81
subtract 81 from both sides
23=y
subsitute
x=25+y
x=25+23
x=48
Hazel was 48 and Gary was 23 in the year of 1995