The point of elimination is to have one variable so example
3x + 2y = 4
7X + 3y = 5
1) Try to find a way to have one variable
7(3x + 2y = 4) ----> 21x + 14y = 28
-3(7x+ 3y = 5) -----> -21x -9y = -15
2) add
0 + 5y = 13
3) solve for the last variable
5y = 13
y = 13/5 = 2 3/5 = 2.8
4) Subsitute the variable to get the other one
3x + 2(2.8) = 4
3x + 5.6 = 4
3x = -1.6
x = 0.533333333 (continue)
The intersection would be 0.53 with a line above the 3 and 2.8. (0.5333 , 2.8)
Hope you understand!!
Answer:
x=3 and x=-1.25
Step-by-step explanation:
4x^2-7x=15
subtract 15 from each side:
4x^2-7x-15=0
factor (trying different numbers that the sum is 7 and the quotient is 15)
(2x-6 )(2x+2.5 )=0
2x-6=0 add 6 to each side
2x=6
x=3
2x+2.5=0 subtract 2.5 from each side
2x=-2.5
x=-1.25
Answer:
80 square units
Step-by-step explanation:
The area formula refers to a generic triangle ABC in which side lengths 'a' and 'b' are known and angle C is between those sides.
In the given figure, we have known side lengths of 12 and 14, and the angle between them is 72°.
Putting these numbers into the formula, we find the area to be ...
A = (1/2)(12)(14)sin(72°) ≈ 79.9 ≈ 80 . . . . square units
The area of the triangle is about 80 square units.
Answer:
517.5 mi^2
Step-by-step explanation:
Divide shapes into 3 shapes ( 1 triangle and 2 rectangles
b = 17
h = 25
Area of triangle = Bh
A = (17)(25)
A = 212.5 mi^2
Area of 1st rectangle = lw = 17(9) = 153 mi^2
Area of 2nd rectangle = lw = 19(8) = 152 mi^2
Area of figure = 212.5 +153 + 152 = 517.5 mi^2
Answer:
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