Answer:
756 m²
Step-by-step explanation:
I just know the answer XD
first you need to find the slope of he current equation by changing it to y=mx+b
3x-2y=9 subtract 3x from both sides
-2y=-3x+9 divide both sides by -2
y+3/2x-9/2 Your slope of the existing is 3/2 or 1 1/2
a perpendicular line has the opposite reciprocal slope so 3/2 would be -2/3
-3 is your y intercept. now you can make your equation
y=-2/3x-3
2x+y=9
3x+5y=19
I will do this problem in 2 ways. I.)Substitution II.)Elimination
Solution I.) Substitution
We can subtract 2x from both sides in the first equation.
y=9-2x
Now we can substitute the y in the second equation with 9-2x
3x+5(9-2x)=19
-7x+45=19
-7x=-26
x=26/7
y=9-2(26/7)=11/7
Solution II.)Elimination
We can multiply both side of first equation by 5 to get a 5y in both equations.
10x+5y=45
Now because both are positive 5y we just need to do simple subtraction of the 2 equation, each side respectively.
(10x+5y)-(3x+5y)=45-19
7x=26
x=26/7
2*26/7+y=9
y=11/7
Ultimately you get the same answer, both are viable methods, some problems are faster with one method but I recommend mastering both since they are very useful.
Answer:
see explanation
Step-by-step explanation:
Since AB = BC the the triangle is isosceles and thus
∠ A = ∠ C = 8x
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
44x + 8x + 8x = 180, that is
60x = 180 ( divide both sides by 60 )
x = 3
Thus
∠ A = ∠ C = 8x = 8(3) = 24°
∠ B = 44x = 44(3) = 132°