Answer:
1.75 or 1 3/4 pounds
Step-by-step explanation:
Add the peaches and Oranged weights together to get 8.25 then 10-8.25=1.75
The first thing you want to do is plug in x and y into both equations:
a(3) + b(4) = 4
b(3) + a(4) = 8
rearrange to line up a’s and b’s
3a + 4b = 4
4a + 3b = 8
now you want to choose a or b and multiply each equation by a number to make them have the same amount of a’s or b’s.
4(3a + 4b = 4) = 12a + 16b = 16
3(4a + 3b = 8) = 12a + 9b = 24
Now we subtract the bottom equation from the top and solve for b:
12a + 16b - (12a + 9b) = 16 - 24
7b = -8
b = -8/7
Now we plug back in for b to one of the original equations:
3a + 4(-8/7) = 4
3a + (-32/7) = 4
3a - (32/7) = 4
3a = 4 + (32/7)
3a = (28/7) + (32/7)
3a = 60/7
a = (60/7)/3 = 20/7.
Finally, plug a and b in together to double check using the second equation.
4a + 3b = 8
4(20/7) + 3(-8/7) = ?
(80/7) - (24/7) = ?
56/7 = 8.
Answer:
y=5x-12
Step-by-step explanation:
The general equation of a line is <em>y=mx+b</em>.
The equation you currently have is <em>y=5x+b</em>.
Plug in the point (3,3) which will get you <em>3=5(3)+b</em>.
Solve the equation by solving what the y-intercept (b) is to create the new final equation.
3=5(3)+b
3=15+b
b=3-15
b=-12
y=5x-12
If the choices are the following:
The legs are congruent.
The base angles are congruent.
The bases are | |.
<span>The diagonals are congruent.
Then , to prove </span>ACD ≅ BDC by SSS I would use The base angles are congruent.
<span>This is sufficient to prove the triangles are congruent.</span>