Answer:
x = 24.48, y = -15.52, z = 3.95 to the nearest hundredth.
Step-by-step explanation:
x+y-z=5 (a)
-x-4y-8z=6 (b)
3x+5y-4z=-20 (c)
Adding equations a and b:
-3y - 9z = 11 (d)
Now multiply equation b by 3:
-3x - 12y - 24z = 18 (e)
Adding c and e:
-7y - 28z = -2 (f) Multiply by 3 to give (g)
-3y - 9z = 11 (b) Multiply by -7 to give (h)
-21y - 84z = -6 (g)
21y + 63z = -77 (h) Adding g and h:
-21z = - 83
z = 3.952
and y is found bt substituting in equation d:
-3y - 9(3.952) = 11
y = ( 11 + 9(3.952) / -3
= -15.52.
Now find x by substituting for y an z in equation a:
x - 15.52 - 3.952 = 5
x = 5 + 15.52 + 3.952
= 24.476.
Answer:
43°
Step-by-step explanation:
In a isosceles triangle, two angles HAVE to be equal.
This means that 94 can be one of the angles that are equal, or the angle that is not equal to another angle.
Let's start with the fact that 94 can be one of the angles that are equal. (Note: angles in a triangle add up to 180)
94+94+x=180
188+x=180
There is NOT a possible value for x in this situation, as you cannot have a negative value of an angle. Therefore we must try the other situation where 94 is the angle that is not equal to another angle.
x+x+94=180
2x+94=180
Subtract 94 from both sides
2x=86
Divide both sides by 2
x=43
Therefore the answer is 43°
Answer:
x = {-4, 4}
Step-by-step explanation:
Subtracting 3 gives ...
5x^2 = 80
Dividing by 5, we get ...
x^2 = 16
Taking the square root gives the solutions ...
x = ±4
The smaller value of x is -4; the larger value is 4.
Remember that the area of a rectangle is the length of the rectangle multiplied by the width of the rectangle.
In this case, we could say (where 
is the area of the rectangle):
Substituting the values the problem gave us for 
and 
, we can find the formula for 
in terms of 
, which is:
The formula for the area of the rectangle would be A(x) = 10x³ - 20x² + 65x.
