Answer:
the correct option is number (3). It corresponds with the expression David factorised.
Step-by-step explanation:
David correctly factored the expression m² - 12m + 64, we want to check which one of the options he wrote.
(1) (m - 8)(m - 8) = (m - 8)²
= m² - 16m + 64
NOT THIS
(2) (m - 8)(m + 8) = m² - 8²
= m² - 64
NOT THIS
(3) (m - 16)(m + 4) = m² + 4m - 16m - 64
= m² - 12m - 64
THIS IS THE CORRECT OPTION AS IT CORRESPONDS WITH THE EXPRESSION DAVID FACTORISED
(4) (m + 16)(m - 4) = m² - 4m + 16m - 64
= m² + 12m - 64
NOT THIS
In drawings, a rectangular shape can be enlarged or compressed using scale ratios
<h3>The perimeter of the drawing</h3>
The dimensions of the drawing are 4 in by 5 in
So, the perimeter is:
P = 2 * (4 in + 5 in)
This gives
P = 18 in
Hence, the perimeter of the drawing is 18 inches
<h3>The perimeter of the actual flower bed</h3>
The dimensions of the actual flower bed is 30 times greater than the drawing.
So, the perimeter is:
P = (30 + 1) * 18 in
This gives
P = 558 in
Hence, the perimeter of the actual flower bed is 558 inches
<h3>The effect on the perimeter</h3>
When the dimensions are multiplied by 24, the perimeter of the flower bed increases by a product of 24
Read more about scale ratio at:
brainly.com/question/1504153
The range = greatest value - lowest = 55 - 8 = 47
Sorry nit sure about interquartile range - its been a long time but i think its 44 - 23 which is 21.
multiply -5 to everything in parentheses
-10x+15y-30z+50
Answer:
The resistance is decreasing at a rate of 0.36 ohms/minute.
Step-by-step explanation:
The mathematical form of the Ohm's law is given by :
V = IR ...(1)
Where V is voltage, I is current and R is resistance
Given,
I = 5 A
R = 6 ohms
dI/dt = 0.3 A/min
Differentiate equation (1) wrt t:
When V is constant, dV/dt = 0
So, the resistance is decreasing at a rate of 0.36 ohms/minute.
