
Given to points to us are :-
( As these are plotted on graph with yellow dots .)
Now , we can use Distance Formula , which is :-

Here ,
- x1 = 3 .
- x2 = -1.
- y1 = (-6)
- y2 = (-8).
<u>→ Substituting the respective values , </u>
⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .
⇒ Distance = √ (3+1)² + (8-6)²
⇒ Distance = √ 4² + 2²
⇒ Distance = √ 16 + 4
⇒ Distance = √20 = √4 × √5
⇒ Distance = 4√5units .
<u>Hence the distance between two points is 4√5u.</u>
Answer:
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by

where
y is the population of rabbits
x is the number of years since 1991
a is the initial value
r is the rate of change
we have

substitute

For the year 1998
the number of years is equal to
x=1998-1991=7 years
so
we have the ordered pair (7,18,000)
substitute in the exponential equation and solve for r


elevated both sides to 1/7


therefore


Predict the population of rabbits in the year 2006
Find the value of x
x=2006-1991=15 years
substitute the value of x in the equation


So 81/9=9 so area of pantry is 9
3 times x=9
3x=9
divide both sides by 3
x=3
legnth/width=3
Answer:
(-4a + b – 2c) – (3a + 2b –c)
-4a+b-2c-3a-2b+c
-7a-b-c
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
To graph the line we need two points, one point is the y-intercept, the second point to be calculated.
Q7
<u>y = -3x + 6</u>
- The y-intercept is (0, 6)
<u>Let the domain be x = 5 for the second point, then:</u>
- y = -3*5 + 6 = -15 + 6 = -9
- The point is (5, -9)
Connect these points to get the graph
Q8
<u>y = 4/5x - 3</u>
- The y-intercept is (0, -3)
<u>Let the domain be x = 5 for the second point, then:</u>
- y = 4/5*5 - 3 = 4 - 3 = 1
- The point is (5, 1)
Connect these two points to get the graph