Answer: It is possible to determine the height of the triangle by using the formula of the area of a triangle and creating an equation to find the missing value (height). Also, the value of the height is 7ft
Explanation:
The area of a triangle is found by using both the height and the base of a triangle. Indeed, the general formula for this is A( area) = h (height) x b (base) ÷ 2. Now, this general formula can be used to find any of the values missing if two values are known. This means the height can be calculated using the area and the base. To do this, create a simple equation and solve it. The process is shown below:
1. Write the general equation
2. Replace the letters with the values you have
3. Find the missing value by moving the values to the other side of the equal symbol (=) and changing its symbol
21 x 2 = 6b -For example 2 divided 6b but if it is changed to the other side it needs to multiply
42 = 6 b
42 / 6 = b
b = 7
This means the value of the height is 7 ft. If you want to double-check this, use the original formula:
A = 6 ft x 7 ft / 2
A= 42 
/ 2
A= 21
2*2*5*5 I hope this helps
Answer:
x=-1
y=-3
Step-by-step explanation:
3x-2y=3(1)
5.(1) <=> 15x-10y=15 (2)
15x-4y=-3 (3)
(2)-(3) <=> -6y=18
<span>Given that x represents the width of the rectangle and that the length of the rectangle is three times longer than the width. Then the length is 3x. The perimeter of a rectangle is given by 2(length + width) = 2(3x + x) = 2(4x) = 8x. The perimeter of the rectangle is 16 feet. Therefore, the required equation is 8x = 16. </span>
Answer: One solution
Step-by-step explanation:
y = 3x + 3
y = -2x + 3
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To solve this, you need to understand a few things:
a) If two lines have the same slope but different y-intercepts, they are parallel when graphed and thus do not have any solutions
b) If two lines have the same slope and same y-intercepts, they are the same line when graphed and thus do not have infinitely many solutions
c) If two lines have different slopes (and/or y-intercepts), they have one solution
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These two lines have different slopes but the same y-intercept (condition c)
So they have one solution
