Answer:
The slope of this line is -2/3x.
Step-by-step explanation:
The slope can be found by getting x1 and y1 (0,3) and x2 and y2 (3,1). Once you have these you would do y2 - y1 / x2 - x1.
And the equation then is
1 - 3 / 3 - 0. After simplifying this you get -2/3.
Answer:
313.5 feet cubed
Step-by-step explanation:
A = a+b /2 (h)
14+24/2(16.5)
38/2 (16.5)
= 313.5
I think that you assumed that:
2k - 1 = k + 2
However we can't do this, because a square has 4 sides whilst a triangle only has 3 sides.
This means that we can say
4(2k - 1) = 3(k + 2)
We multiply by 4 due to 4 sides of the square, and by 3 due to the 4 sides of the triangle.
Lets expand the brackets, and solve it:
4(2k - 1) = 3(k + 2)
8k -4 = 3k + 6
5k -4 = 6 ( subtract both sides by 3x to collect the x values)
5k = 10 (add both sides by 4 to get the x's alone)
k = 2 (divide both sides by 5 to get what just x is)
So k = 2 units
Answer:
L1 = 113°
L4 = 67°
Step-by-step explanation:
L1 + L2 = 180°
L1 = 180° - L2
L1 = 180° - 67°
L1 = 113°
L3 + L4 = 180°
L4 = 180° - L3
L4 = 180° - 113°
L4 = 67°
Proof-
Combination of L1,L2,L3 and L4 should be 360°
113°+67°+113°+67° = 360°
Answer:
He can save 20 dollars
Step-by-step explanation:
He can buy one 100 token amount and one 25 token amount. This will cost 20 + 10 dollars, or 30 dollars. If each friend buys 25 tokens, it will cost
10 * 5 dollars, or 50 dollars. 50 - 30 = 20. So he can save 20 dollars.
