Answer:
a. =11+ 1
b. =4x+ (-7y) + (-5z) +6
c. (-3x) + (-8y) +(-4)+(-8/7z)
Step-by-step explanation:
a. 20 - 9 + 8 -7
=11+ 1 ( this is obtained by solving)
b. 4x - 7y - 5z + 6
=4x+ (-7y) + (-5z) +6
We multiply the negative sign with the positive sign to get a minus so the answer remains the same and the expression is written as an addition sum.
c. -3x - 8y - 4 - 8/7z
-[ 3x+8y+4+8/7z]
or
(-3x) + (-8y) +(-4) +(-8/7z)
The minus sign is taken as common leaving the expression with the plus only.
It can be written in the same manner as above, adding the negative terms so that the expression is written as a sum.
Answer:
The volume of the cone is 100.48 units³ approximately
Step-by-step explanation:
To find the volume of a cone with a diameter of 8 unit and height of 6 units, we will follow the steps below;
first, write down the formula for calculating the volume of a cone
v= πr²
where v is the volume of the cone
r is the radius and h is the height of the cone
from the question given, diameter d = 8 units but d=2r which implies r=d/2
r=8/2 = 4 units
Hence r= 4 units
height = 6 units
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the formula
v= πr²
v ≈ 3.14 × 4² × 6/3
v ≈ 3.14 × 16 × 2
v ≈ 100 .48 units³
Therefore the volume of the cone is 100 .48 units³ approximately
Step-by-step explanation:
sum of the ratio=3+3+4=10
now,
angle I = 3/10×180=54
angle II= 3/10×180=54
angle III=4/10×180=72
that shows th given triangle is isoceles
Hello,
If we want to factor the expression, we have to solve
3x² + 10x + 8 = 0
a = 3 ; b = 10 ; c = 8
∆ = b² - 4ac = 10² - 4 × 3 × 8 = 4 > 0
x1 = (-b - √∆)/2a = (-10 - 2)/6 = -12/6 = -2
x2 = (-b + √∆)/2a = (-10 + 2)/6 = -8/6 = -4/3
Factor :
a (x - x1)(x - x2)
= 3(x + 2)(x + 4/3)
= (x + 2)(3x + 4)
This would be 10-2 which would equal 8
