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Answers
9514 1404 393
Answer:
2a. (x, y) = (2, 2)
2b. (x, y) = (3, -1)
3. -5, 3, y, 5, 1
Step-by-step explanation:
2A.
The first equation defines an expression for x, so it is convenient to use that to substitute for x in the second equation.
2(3y-4) -y = 2 . . . . . substitute for x
6y -8 -y = 2 . . . . . . eliminate parentheses
5y = 10 . . . . . . . . . add 8, collect terms
y = 2 . . . . . . . . . . divide by 5
x = 3(2) -4 = 2 . . . find x using the first equation
The solution is (x, y) = (2, 2).
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2B.
Add 3 times the second equation to the first.
(3x +2y) +3(-x +y) = (7) +3(-4)
5y = -5 . . . . . simplify
y = -1 . . . . . . . divide by 5
x = y +4 = -1 +4 = 3 . . . . rearrange the second equation
The solution is (x, y) = (3, -1).
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3.
The slope of this equation is -5 [the x-coefficient]. I would start at +3 [the y-intercept] on the y axis and then drop down 5 and run over 1 .
[The slope is the ratio of rise to run. A slope of -5 means the "rise" is a drop of 5 for each "run" of 1 unit to the right.]
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Simplify the following (-4)-2/7
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Answers
Answer:
A.
Step-by-step explanation:
The double bar around any number means absolute value. Absolute value makes any number positive.
So,
9.3 = 9.3
|-2.1| = 2.1
-13.7 = -13.7
-4.2
Negatives are always the smallest:
-13.7, -4.2, |-2.1| or 2.1, 9.3
Therefore, A is the correct answer.
X=?
Y=?
Answers
Answer:
x=85
y=65
Step-by-step explanation:
Right angle equals 90
then 180-90-20=70
Opposite angle =70
so 70+25+x=180
x=180-70-25=85
when u know x ,then 180-85=95
y=360-90-110-95=65
Answers
Answer:
(2/3, -9/2)or (2/3, 4 1/2)
Step-by-step explanation:
Answers
Answer:
t = -1
Step-by-step explanation:
8 + 9t - 3 + 4
Combine like terms
(8 - 3 + 4) + 9t
9 + 9t
9t + 9
Get t by itself
9t + 9 = 0
-9 -9
9t = -9
Divide both sides by 9 to find t
t = -1
Answers
Answer:y = 115 degrees
Step-by-step explanation:
The given polygon has 6 sides. It is a hexagon. The sum of the interior angles of a polygon is
180(n - 2)
Where
n is the number of sides that the polygon has. This means that n = 6
Therefore, the sum of the interior angles would be
180(6 - 2) = 720 degrees
Therefore,
126 + 101 + 135 + 147 + 96 + y = 720
605 + y = 720
Subtracting 605 from both sides of the equation, it becomes
y = 720 - 605 = 115 degrees
It's a six sided polygon. For any polygon the external angles add to 360 degrees. The internal angles shown are the supplements of the external angles. We have
(180 - θ₁) + (180 - θ₂) + ... + (180 - θ₆) = 360
6(180) - 360 = θ₁ + θ₂ + θ₃ + θ₄ + θ₅ + θ₆
720 = θ₁ + θ₂ + θ₃ + θ₄ + θ₅ + θ₆
The six angles add up to 720 degrees, and five of them add to
126+101+135+147+96=605
So y = 720 - 605 = 115
The degree sign is external to y so not part of the answer:
Answer: 115
Answers
Answer:
no
Step-by-step explanation:
If m, h, b represent the numbers of students in Mr. Smith's math, history, and both classes, then we have ...
m + b = 17
h + b = 15
m + b + h = 25
Adding the first two equations and subtracting the third gives ...
(m+b) +(h+b) -(m+b+h) = (17) +(15) -(25)
b = 7 . . . . . . simplify
The number enrolled in both of Mr. Smith's classes is 7, not 12.
_____
Here, m and h represent the number of students enrolled in only one of Mr. Smith's classes, math or history, respectively.