Hello :
f(x) = (x-5)(x+2i)
= x² +2ix -5x-10i
f(x) = x² +(2i-5)x -10i
<span>coefficients : a =1 b = 2i-5 c =-10i</span>
Answer:
It is 25 units
Step-by-step explanation:
The triangles are equal
Answer:
8.20in³
Step-by-step explanation:
Given V = πr²h
r is the radius = 1.5in
h is the height = 6in
thickness of wall of the cylinder dr = 0.04in
top and bottom thickness dh 0.07in+0.07in = 0.14in
To compute the volume, we will find the value of dV
dV = dV/dr • dr + dV/dh • dh
dV/dr = 2πrh
dV/dh = πr²
dV = 2πrh dr + πr² dh
Substituting the values into the formula
dV = 2π(1.5)(6)•(0.04) + π(1.5)²(6) • 0.14
dV = 2π (0.36)+π(1.89)
dV = 0.72π+1.89π
dV = 2.61π
dV = 2.61(3.14)
dV = 8.1954in³
Hence volume, in cubic inches, of metal in the walls and top and bottom of the can is 8.20in³ (to two dp)
Answer:
Step-by-step explanation:
Perimeter is 24.
Length is 4 greater than the width.
Let's use 'x' for width
we can write this as x+4 + x+4 + x + x
x+4 being the width+4 and x being the width
There are 4 sides to a rectangle so you are adding 4 values
Two length and two widths
so we can then combine the two lengths to make 2x+8
and then combine the two widths to make 2x
Then put it together. 2x+2x+8= 4x+8
4x+8=24
Subtract 8 from both sides
4x=16
divide both sides by 4
x=4
The width is 4.
