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12345 [234]
3 years ago
13

What is the slope of the line with equation 3x - 2y = 12

Mathematics
1 answer:
n200080 [17]3 years ago
5 0

The slope of the line is 2/3

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Find the slope of the line
Elza [17]

Answer:

-3'1

-6'1

Step-by-step explanation:

the bottom left and top right are always going to be negative. The right top and bottom are positive numbers. so the answer is -3'1 for the first top one then the second bottom dot is -6'1

8 0
3 years ago
The sum of three consecutive terms in an arithmetic sequence is 27, and their product is 585. find the three terms.
sammy [17]
\text{the three consecutive terms in an arithmetic sequence}\\a;\ a+d;\ a+2d\\\\\text{system of equals}\\\\ \left\{\begin{array}{ccc}a+a+d+a+2d=27\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}3a+3d=27&|:3\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}a+d=9&\to d=9-a\\a(a+d)(a+2d)=585\end{array}\right\\
\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4
Answer:\ a=5;\ a+d=9; a+2d=13\ vee\ a=13;\ a+d=9;\ a+2d=5

5 0
3 years ago
Solve this problem thanks
vovikov84 [41]

The three missing lengths are the left hypotenuse, x, the middle altitude, y, and the right hypotenuse, z.


9/y = y/16


y^2 = 9 * 16


y^2 = 144


y = 12


9^2 + 12^2 = x^2


x^2 = 225


x = 15


12^2 + 16^2 = z^2


z^2 = 400


z = 20


From left to right, the sides measure 15, 12, and 20 units.

5 0
3 years ago
Read 2 more answers
Solve for the unknown: g - 24 = 75
kaheart [24]
G - 24 = 75
g = 75 + 24
g = 99

Final answer g = 99
5 0
2 years ago
Tomic and Brooke make a game of shooting free throws. Each basket is worth 2.5 point.Each miss is worth - 0.75 points.Out of 30
Anit [1.1K]
They would have 29.5 point
3 0
3 years ago
Read 2 more answers
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