The first answer.
Point P is at (50,-40) the distance from Q to P is 80 units which you can find by subtracting the x of Q (-30) from the x of P (50).
50-(-30)=80
It then tells you point R is vertically above point Q so you know your x value for R will be the same as Q.
Add your distance from Q to P of 80 units to the y value of Q because you are traveling up.
-40+80=40
R will have a point of (-30,40) and a distance of 80 units
Answer:
I think 1/6
Step-by-step explanation:
A die has 6 sides so every side has 1/6 chance to land on
Answer:
x = 46°
Step-by-step explanation:
the opposite angles of a cyclic quadrilateral are supplementary, sum to 180° , then
x + 134° = 180° ( subtract 134° from both sides )
x = 46°
(x - 4)(2x + 3)
Using foil:
2x^2 + 3x - 8x - 12
Simplify.
2x^2 - 5x - 12 is the product after using FOIL.
Answer:
There are 60 monkeys in the Zoo
Step-by-step explanation:
In this question, we are asked to calculate the number of monkeys in a Zoo given some information to use.
Let’s have the total number of monkeys be m.
60% are going monkeys. This means number of young monkeys is 0.6m.
The number of baby and old monkeys is obviously 0.4m.
Ratio of baby to old monkeys is 3:1. This means if we splitter 0.4m into 4, number of baby monkeys is 0.3m while number of old monkeys is 0.1m
Now, subtracting the number of baby monkeys from young monkeys give a total of 18 monkeys.
Let’s project this mathematically;
This means ;
0.6m - 0.3m = 18
0.3m = 18
m = 18/0.3
m = 60
There are 60 monkeys in the zoo
