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inessss [21]
3 years ago
8

Can someone help me with this question?

Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0
I think the answer is 120

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Find dy/dx by implicit differentiation and evaluate the derivative at the given point.xy = 12, (-4, -3)
mojhsa [17]
Xy=12
xdy/dx + y = 12
xdy/dx = 12 - y
dy/dx= (12-y) /x
dy/dx | x=-4 ,y=-3 = (12-(-3))/(-4)
= (12+3)/-4 = -15/4
4 0
3 years ago
4x + 108 = 144 what is the value of x
ivann1987 [24]
Here is the correct answer.

4x + 108 = 144(equation)
     -108      -108 (Subtract 108 both sides)
4x = 36 (simplify)
/4      /4 (divide by 4)
x = 9 (Answer)
7 0
3 years ago
Read 2 more answers
A rectangular prism had a volume of 252 cubic centimeters. The length of the prism is 14 centimeters and the width of the prism
mojhsa [17]
<h2>Answer:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

V=L\times W\times H

FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:

L=14cm \\ \\ W=6cm \\ \\ H=3cm

In fact, the volume is 252cm^3 because:

V=14\times 6\times 3 \therefore V=252cm^3

Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:

FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:

L=14cm \\ \\ W=6cm \\ \\ H=6cm

So the new volume is:

V=14\times 6\times 6 \therefore V=504cm^3

<h3><em>What do we know about the volume of the new prism?</em></h3>

<em>Well, the volume has increased from </em>252cm^3 \ to \ 504cm^3 <em>and since</em> 504=2\times 252 <em>we can say that the new volume is two times the original volume.</em>

8 0
2 years ago
Write the equation of the line that has a slope of -2 and goes through the point (-3,4).
liubo4ka [24]

<u>SOLUTION:</u>

General Equation: y = mx + b

.

Substitute slope = -2 into the equation:

y = -2x + b

.

Find the y-intercept:

4 = -2(-3) + b

4 = 6 + b

b = -2

.

Substitute b = -2 into the equation:

y = -2x - 2

.

Answer: y = -2x - 2

4 0
3 years ago
Read 2 more answers
Simplify the expression <br> 9− 3(2)2
Kazeer [188]

Answer:

-3

Step-by-step explanation:

9-3(2)2

9-(6)2

9-12

-3

3 0
2 years ago
Read 2 more answers
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