Answer:
I'll do it for the equation, then you can try to solve the second one. Of your not able to, just comment and I'll answer the second one
Step-by-step explanation:
y = -3x+4
When
___x__l _y____
0 l 4
1 l 1
2 l -2
3 l -5
4 l -8
0.0135135135135135135135135 etc
Let's use the distance formula:
So it is:
AB :
BC:
CA:
So 9.43 + 5 + 8 =22.43
D. Pair 2 and 4
Pair 2 are the same size and shape
Pair 4 are same size and shape
Pair 1 is different size different shape
Pair 3 is different size same shape
Suppose you add <em>x</em> oz of 10% alcohol to <em>y</em> oz of pure alcohol. Then the mixture has a total volume of <em>x</em> + <em>y</em> oz, and we want to end up with 16 oz so that
<em>x</em> + <em>y</em> = 16
For each oz of the solution 10% used, 0.1 oz of alcohol is contributed, and each oz of pure alcohol contributes 1 oz of alcohol. The mixture is supposed to have a concentration of 14%, which comes out to 0.14*16 = 2.24 oz of alcohol. Then
0.1<em> x</em> + 1 <em>y</em> = 2.24
Solve for <em>y</em> in both equations:
<em>y</em> = 16 - <em>x</em>
<em>y</em> = 2.24 - 0.1 <em>x</em>
Set them equal to one another and solve for <em>x</em>, then for <em>y</em>.
16 - <em>x</em> = 2.24 - 0.1 <em>x</em>
13.76 = 0.9 <em>x</em>
<em>x</em> = 13.76/0.9 ≈ 15.29
<em>y</em> = 16 - 15.29 ≈ 0.71
So you need about 15.29 oz of 10% alcohol and 0.71 oz of pure alcohol to get the desired mixture.
