Answer:
The statement that is true is;
The vertices of the image are closer to the origin than those of the pre-image
Step-by-step explanation:
The dilation rule is 0.75(x,y)= (0.75x, 0.75y)
K (-4,4)----------( 0.75*-4,0.75*4)-------K' (-3,3)
L (2,4)-----------(0.75*2,0.75*4)---------L' (1.5,3)
M (-2,2)----------(0.75*-2,0.75*2)--------M' (-1.5,1.5)
Given:
The line passing through (-2,5) and (2,p) has a gradient of
.
To find:
The value of p.
Solution:
If a line passes through two points, then the slope of the line is:

The line passing through (-2,5) and (2,p). So, the slope of the line is:



It is given that the gradient or slope of the line is
.

On cross multiplication, we get




Divide both sides by 2.

Therefore, the value of p is 3.
y-intercept for x = 0.
Substitute x = 0 to the equation of the function:

It is an acute triangle because none of its angles are equal to (right) or above (obtuse) 90 degrees.
Answer:
Step-by-step explanation:
a) We would use the formula for exponential growth model which is expressed as
y = b(1 + r)^t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 5655
r = 1.4% = 1.4/100 = 0.014
Therefore, the equation would be
y = 5655(1 + 0.014)^t
y = 5655(1.014)^t
b) in 2022, t = 2022 - 2010 = 12 years
y = 5655(1.014)^12
y = 6682