Answer:
(-5,5)
Step-by-step explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
−2(x+5y=20)
1(2x−7y=−45)
Becomes:
−2x−10y=−40
2x−7y=−45
Add these equations to eliminate x:
−17y=−85
Then solve−17y=−85for y:
(Divide both sides by -17)
y=5
x+5y=20
Substitute 5 for y in x+5y=20:
x+(5)(5)=20
x+25=20(Simplify both sides of the equation)
x+25+−25=20+−25(Add -25 to both sides)
x=-5
Answer:
m∠1 = 106
Step-by-step explanation:
Given: m∠5 = 106
Vertical angles are congruent
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.
Therefore: m∠1 = 106
Answer:
The equation is exact
F(x,y) = 3x4/4 - 3xy -y2
Step-by-step explanation:
The step by step explanation and to ascertain the exactness of the differential equation is as shown in the attached file.
Answer:
8x^2+3x
Step-by-step explanation:
What I read is 2x+8x^2-4x+5x
combining like terms means putting the terms that have the same variable part together
8x^2 is the only one that doesn't have any terms like it as far as the variable part
so 8x^2+2x-4x+5x
We just need to figure out 2-4+5 which is -2+5=3
So the answer is 8x^2+3x
Answer:
The Mean Absolute Deviation is 11
Step-by-step explanation:
Given:
325, 310, 289, 288, 285, 285, 285, 280, 280 and 273
Mean = 290
Required:
Calculate the Mean Absolute Deviation
Provided that we have the value of the mean to be 290 from the question; the following steps will calculate the Mean Absolute Deviation
Step 1: Subtract the mean weight from each weight
325 - 290 = 35
310 - 290 = 20
289 - 290 = -1
288 - 290 = -2
285 - 290 = -5
285 - 290 = -5
285 - 290 = -5
280 - 290 = -10
280 - 290 = -10
273 - 290 = -17
Step 2: Calculate the absolute value of the each results above
|35| = 35
|20| = 20
|-1| = 1
|-2| = 2
|-5| = 5
|-5| = 5
|-5| = 5
|-10| = 10
|-10| = 10
|-17| = 17
Step 3: Calculate the mean of the data above
Mean Absolute Value = 
Mean Absolute Value = 
Mean Absolute Value = 11
Hence, the Mean Absolute Deviation is 11