Answer:
5(5k²+6)(4k-3)
Step-by-step explanation:
100k³ - 75k² + 120k - 90
Take 5 common above:
= 5(20k³ - 15k² + 24k - 18) ------- eq1
First let simplify 20k³ - 15k² + 24k - 18
= (20k³ - 15k²) + (24k - 18) ---------eq2
Factor out 6 from 24k - 18 :
6(4k-3)
Factor out 5k² from (20k³ - 15k²):
5k²(4k -3)
eq2 becomes: = 6(4k-3) + 5k²(4k -3)
Factor out common term 4k-3
(6+ 5k²)(4k -3) or (5k²+6)(4k-3)
Thus eq1 becomes:
5(5k²+6)(4k -3)
Answer:
See below ~
Step-by-step explanation:
- 5/4 = 1/25 ⇒ Rational
- √100 = 10 ⇒ Rational
- 7.3 ⇒ Rational
- 0.00247 ⇒ Rational
- √4/9 = 2/3 = 0.66666... ⇒ Rational
- √2/24 = 1/2√1/6 ⇒ Irrational
- 0.01.... ⇒ Rational
We have been given that side length of pyramid the square base is 12 cm and its slant height is 10 cm. We are asked to find the height of the pyramid.
We will use slant height of a pyramid formula to solve our given problem.
,where,
s = Slant height,
h = Height,
a = Each side of square base.
Upon substituting our given values in above formula, we will get:
Switch sides:
Let us square both sides:
Now we will take positive square root of both sides.
Therefore, the height of the pyramid is 8 cm and option 'b' is the correct choice.
Answer:
6.61=6.610
Step-by-step explanation:
6.61=6.610
After point we can increase no. Of zero.
Answer:
-4
Step-by-step explanation:
We have the coordinates (6, 3) and (8, 4), allowing us to calculate the slope (or gradient). To do this, you divide the change in y by the change in x, which is 1/2 which is a half.
The form of a linear equation is y = mx + c, where m is the gradient and c is the y-intercept.
We have the gradient, so we can put it in the equation:
y = x/2 + c
We can now substitute in a pair of our coordinates and rearrange to find the y-intercept.
3 = 6/2 + c
3 = 3 + c
c = 0
Therefore the equation for our line is y = x/2.
We can now put in the y coordinate we were given to work out the corresponding x coordinate:
-2 = x/2
x = -4
Therefore n is -4.
