Answer:
x=-11, y=0. (-11, 0).
Step-by-step explanation:
x-12y=-11
x-y=-11
-------------
x=y+(-11)
x=y-11
y-11-12y=-11
-11y=-11+11
-11y=0
y=0/-11=0
x-0=-11
x=-11+0=-11
Answer:
y-intercept (0,11/5)
x-intercept (11/2,0)
Step-by-step explanation:
The y-intercept is obtained when the x-coordinate equals 0 (x=0)
so the y-intercept is (0,11/5)
The x-intercept is obtained when the y-coordinate equals 0 (y=0)
In this case
0 = -(2/5)x+11/5---->(2/5)x = 11/5 ----> x=(5*11)/(5*2) = 11/2
So the x-intercept is (11/2,0)
Answer: 243
Third term of g.p. = ar^2 =3
General term = ar^n-1
Product of first five terms
= a^5 x r^0+1+2+3+4
= a^5 x r^10
= (ar^2)^5
=(3)^5
= 243
Answer:
x³ - 3x² + 5x - 3 / x² - 2
Step-by-step explanation:
Given in the question,
volume of a rectangular prism = x³ - 3x² + 5x - 3
base area of a rectangular prism = x² - 2
Formula for the volume of prism
V = BA x H
here BA is base area
H is height
Formula for the height of prism
H = V / BA
plug values in the formula
x³ - 3x² + 5x - 3 / x² - 2
We will do long division
x - 1
----------------------------
x² - 2 | x³ - 3x² + 5x - 3
x³ - 2x²
---------------------------
-x² + 5x - 3
-x² + 2
----------------------
5x - 5
The remainder indicates that x³ - 3x² + 5x - 3 is not divisible by x² - 2, and that means that you cannot find the exact height.
