Answer:
19
Step-by-step explanation:
Answer:
x = 2 and y = 
Step-by-step explanation:
To solve this system of equation, we will follow the steps below;
We will use both elimination and substitution method to solve this system of equations
12x−15y=14 ------------------------------------------------------------------------(1)
8x−15y=6 --------------------------------------------------------------------------(2)
subtract equation (2) from equation (1)
(By doing that the y variable will be eliminated)
4x = 8
Divide both-side of the equation by 4
4x/4 = 8/4
x = 2
Substitute x =2 into equation (2) and then solve for y
8x−15y=6
8(2)−15y=6
16 - 15y = 6
subtract 16 from both-side of the equation
16 - 16- 15y = 6-16
-15y = -10
Divide both-side of the equation by -15
-15y/-15 = -10/-15
y =
x = 2 and y =
Hello,
Use the factoration
a^2 - b^2 = (a - b)(a + b)
Then,
x^2 - 81 = x^2 - 9^2
x^2 - 9^2 = ( x - 9).(x + 9)
Then,
Lim (x^2- 81) /(x+9)
= Lim (x -9)(x+9)/(x+9)
Simplity x + 9
Lim (x -9)
Now replace x = -9
Lim ( -9 -9)
Lim -18 = -18
_______________
The second method without using factorization would be to calculate the limit by the hospital rule.
Lim f(x)/g(x) = lim f(x)'/g(x)'
Where,
f(x)' and g(x)' are the derivates.
Let f(x) = x^2 -81
f(x)' = 2x + 0
f(x)' = 2x
Let g(x) = x +9
g(x)' = 1 + 0
g(x)' = 1
Then the Lim stay:
Lim (x^2 -81)/(x+9) = Lim 2x /1
Now replace x = -9
Lim 2×-9 = Lim -18
= -18
Answer:
Zero
Step-by-step explanation:
The distance AB is ...
... √((5-1)²+(5-2)²) = √(16+9) = 5
The largest right triangle that can be constructed with AB as the hypotenuse is one with an altitude of 5/2 = 2.5 units. Its area will be ...
... (1/2)·5·2.5 = 6.25 . . . . square units
It is not possible to construct the triangle ABC described.
_____
In order to achieve the given area, ∠C would need to be 87.75° or smaller. It could not be 90°.
Answer:
2 3 5
Step-by-step explanation:
