Answer:
-6
Step-by-step explanation:
We know that since Ax + By = 3 passes through (-7, 2), then if we plug -7 in for x and 2 in for y, the equation is satisfied. So, let's do that:
Ax + By = 3
A * (-7) + B * 2 = 3
-7A + 2B = 3
We also know that this line is parallel to x + 3y = -5, which means their slopes are the same. Let's solve for y in the second equation:
x + 3y = -5
3y = -x - 5
y = (-1/3)x - (5/3)
So, the slope of this line is -1/3, which means the slope of Ax + By = 3 is also -1/3. Let's solve for y in the first equation:
Ax + By = 3
By = -Ax + 3
y = (-A/B)x + 3/B
This means that -A/B = -1/3. So, we have a relationship between A and B:
-A/B = -1/3
A/B = 1/3
B = 3A
Plug 3A in for B into the equation we had where -7A + 2B = 3:
-7A + 2B = 3
-7A + 2 * 3A = 3
-7A + 6A = 3
-A = 3
A = -3
Use this to solve for B:
B = 3A
B = 3 * (-3) = -9
So, B = -9 and A = -3. Then B - A is:
B - A = -9 - (-3) = -9 + 3 = -6
The answer is -6.
<em>~ an aesthetics lover</em>
Hey!
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Solution:
4(9x + 7) = x - 4
36x + 28 = x - 4
36x + 28 + 28 = x - 4 + 28
36x = x + (-32)
36x - x = x - (-24) - x
35x = -32
35x/35 = -32/35
x = -32/35
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Answer:
x = -32/35
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Hope This Helped! Good Luck!
Answer:
Let the amount of Danny be y
Therefore, lance will have 1/3y
Total fraction of cup is 1/1
y+y/3=1
4y/3=1
4y=3
y=3/4
therefore, lance had 3/4 of the cup of water
Answer:
The diameter is 361 units
Step-by-step explanation:
The formula for circumference of a circle is given by
C = pi *d
We know the circumference = 1133.54 and pi is approximated by 3.14
1133.54 = 3.14 *d
Divide each side by 3.14
1133.54/3.14 = d*3.14/3.14
361=d
The diameter is 361 units
Answer:
I think it depends on the individual and the support system that you have because I came out at 13 and it was the hardest thing I've ever done. But I also have an aunt who was scared and didn't come out till last year and she's 57 years old.
