<u>coordinates of the point are (2,6) and (3,4)</u>
Answer:
Solution given:
let the given point be A(1,8) and B(4,2).
P and Q are the two points on AB such that
AP=PQ=QB=k
now
comparing AP and PB
AP=k
PB=2k
ratio of AP and PB =
= ratio 1:2
now
finding p
for this

For AB


now by using division formula


similarly
Q divides AB
Ratio of AQ and QB =
= ratio 2:1



by using division formula


Answer:
C
Step-by-step explanation:
Since the triangle is right with hypotenuse QR
Use Pythagoras' identity to solve for QR
The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
QR² = 8² + (8
)²
= 64 + 192
= 256 ( take the square root of both sides )
QR =
= 16
Answer:
No
Step-by-step explanation:
The expression for the greatest common factor of 20 and 30 using the distributive property is 10(2 + 3)
Pounds of ice = 20
Number of cups = 30
The relation for the distributive property :
a × (b + c)
Expand ;
a × (b + c) = (a × b) + (a × c) = ab + ac
Finding the greatest common factor of 20 and 30 ;
(2 × 10) + (3 × 10)
According to the distributive property
(2 × 10) + (3 × 10) = 10(2 + 3)
Therefore, the expression for the greatest common factor is 10(2 + 3)
Learn more :brainly.com/question/15263211
Answer:
We can estimate a population of 500 birds.
Step-by-step explanation:
We can estimate the total bird population using a rule of three with the information given:
If we find 5 birds with the foot band among 100 birds captured, how many birds there are in total if inicially we put foot bands in 25 birds?
5 birds with foot band -> 100 birds captured
25 birds with foot band -> X total birds
X * 5 = 25 * 100
X = 25 * 100 / 5 = 500 birds
We can estimate a population of 500 birds.