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djyliett [7]
3 years ago
13

What is the slope of the line represented by this equation -3x+8y=12

Mathematics
1 answer:
kolbaska11 [484]3 years ago
3 0
The answer would be -3/8x
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One positive number exceeds another by 2, and their product is 80. Find the numbers​
katen-ka-za [31]

Answer:

The Answer is: The first number is 10 and the second number is 8.

Step-by-step explanation:

Let f = first number and s = second number.

The first number is 2 larger than the second:

f = n + 2

The numbers times each other is 80:

f * n = 80

Substitute the value of f, which is (n + 2):

n(n + 2) = 80

n^2 + 2n = 80

n^2 + 2n - 80 = 0

(n + 10)(n - 8) = 0

n^2 + 10n - 8n - 80 = 0, so the first number is 10 and the second one is 8.

Another method, just from thinking about it:

factor 80:

8 * 10, is the first factoring I thought of. I then noted that the difference between the two is 2 and if you multiply them they equal 80.

Hope this helps! Have an Awesome Day!! :-)

6 0
3 years ago
Select the action you would use to solve x/3=12. Then select the property that justifies that action
Alekssandra [29.7K]

Answer:

To solve this I would multiply both sides by 3

Step-by-step explanation:

i would use the multiplication property of equality

8 0
3 years ago
72 ÷ 9 ÷ 2
Daniel [21]

If there is parenthesis, you must do the parenthesis first. If there’s no parenthesis, do the division from left to right.

5 0
4 years ago
Use the point of the slope of the graph each line write the equation of the line the line passes through the point (-1,-4) and h
Lostsunrise [7]

Answer:

y=-2x-4, since -4 is the y intercept.

8 0
3 years ago
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + 6xy + 12y2 = 28, (2,
navik [9.2K]

Answer:

The equation of the tangent line is y = -\frac{5}{18}\cdot x +\frac{14}{9}.

Step-by-step explanation:

Firstly, we obtain the equation for the slope of the tangent line by implicit differentiation:

2\cdot x + 6\cdot y + 6\cdot x \cdot y' + 24\cdot y \cdot y' = 0

2\cdot (x + 3\cdot y) + 6\cdot (x + 4\cdot y) \cdot y' = 0

6\cdot (x + 4\cdot y) \cdot y' = -2\cdot (x+3\cdot y)

y' = -\frac{1}{3}\cdot \left(\frac{x + 3\cdot y}{x + 4\cdot y} \right) (1)

If we know that (x,y) = (2, 1), then the slope of the tangent line is:

y' = -\frac{1}{3}\cdot \left(\frac{2+3\cdot 1}{2 + 4\cdot 1} \right)

y' =-\frac{5}{18}

By definition of tangent line, we determine the intercept of the line (b):

y = m\cdot x + b

b = y - m\cdot x (2)

If we know that (x,y) = (2,1) and m = -\frac{5}{18}, then the intercept of the tangent line is:

b = 1 - \left(-\frac{5}{18} \right)\cdot (2)

b = \frac{14}{9}

The equation of the tangent line is y = -\frac{5}{18}\cdot x +\frac{14}{9}.

5 0
3 years ago
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