Step-by-step explanation:
a) gradient= y2-y1/x2-x1
gradient of AB:
gradient=-4-1/2-3
=-5/-1
=5
gradient of BC:
=-5+4/7-2
=-1/5
b) as the priduct of both gradient is -1 ,both lines are perpendicular.
c) as we have seen lines are perpendicular so it is a right angled triangle.
Answer:
The most common distance that Larry biked was of 6 Km.
Step-by-step explanation:
The most common distance that Larry biked is the number, in Km, which appears most frequently in this table.
The number which appears the most frequently is:
6 km
This means that the most common distance that Larry biked was of 6 Km.
Answer:
Cherry Pink has not been made (
)
Step-by-step explanation:
Given that she already has 60litres of Rose Pink paint, we use the ratios to determine the volumes of red/white used:

#Add these proportions to the additional red and white paints to determine if Cherry Pink has been made:

We equate this proportion to the Cherry Pink proportion to verify if Cherry pink has been made:

Hence, Cherry pink has not been made.
Answer:
8 < 6x
Step-by-step explanation:
Just write what you see by the letters
Answer:
we can do it by simplifying 8 to
to make both powers base two, and subtracting the exponents.
Step-by-step explanation:
We have been given the expression 
8 can be rewritten as 
Hence, the given expression becomes

After subtracting the exponents on left hand side of the equation we get:

we can do it by simplifying 8 to
to make both powers base two, and subtracting the exponents.