Answer:
x= 7/5 (1 2/5 or 1.4)
Step-by-step explanation:
Move the variable to the left-hand side and change its sign.
12x-15+3x=6
Move the constant to the right-hand side and change its sign.
12x+3x=6+15
Collect like terms.
15x=21
Divide both sides of the equation by 15.
x=7/5 (1 2/5 or 1.4)
Answer:
Graph 'B' represents the correct graph.
The correct graph is attached below.
Step-by-step explanation:
Let 'A' be the point:
Let 'B' be the point:
As point A(-1 1/2, 1/2) can be written as:
so plotting the point 
and 
on a .
- As we know that the 2nd quadrant, in the upper left-hand corner, consists of negative values of x and positive values of y.
Thus, the point A(-1.5, 0.5) will be plotted in the 2nd quadrant at x = -1.5 and y=0.5
i.e. at x= -1.5, y = 0.5
- As we know that the 4th quadrant, the lower left-hand corner, consists of positive values of x and negative values of y.
Point B(1.5, -0.5) will be plotted in the 4th quadrant at x = 1.5 and y = -0.5
i.e. at x= 1.5, y = -0.5
Thus, graph 'B' represents the correct graph.
The correct graph is attached below.
Answer:
72
Step-by-step explanation:
Since the triangle's area is 240, the base * height must equal 480 because for the area of a triangle it is half of that. Since you know that the base AC = 20, find out what you can multiply by 20 to get 480. This gives you a result of 24. Now that the height is found divide the triangle into two right triangles. Now Just use the pythagorean theorem to find the legs of the triangles. AB = BC = 26. 26 + 26 + 20 = 72 which is the perimeter.
Step-by-step explanation:
The length of any side of a triangle must be less than the sum of the other 2 sides of the triangle.
Let x be the length of the 3rd side. Then we have constraints 5 + 12 > x and 5 + x > 12.
This gives 17 > x and x > 7, hence the answer is 7 < Length of the 3rd side < 17.
Solve for x in 2x + 2y = 6
x = 3 - y
Substitute x = 3 - y into 3x - 5y = 25
9 - 8y = 25
Solve for y in 9 - 8y = 25
y = -2
Substitute y = -2 into x = 3 - y
x = 5
Thus,
<u>y = 5</u>
<u>y = -2</u>
