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timama [110]
4 years ago
12

What could be a word problem that could be modeled by the equation 12x+9=45?

Mathematics
1 answer:
Lelu [443]4 years ago
6 0

Answer:

x = 3

Step-by-step explanation:12x+9=45

Subtract 9 from both sides

12x=36

Divide both sides by 12

x=3


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Given that the line y=c-2x is tangent to the curve y^2=kx where c and k are non-zero constants,express k in terms of c
Viktor [21]

Answer:

k = -8c.

Step-by-step explanation:

y^2 = kx

Find the slope of the tangent by differentiating:

y' 2y = k

y' = k / 2y = the slope of the tangent.

The given equation of the tangent is y = -2x + c so the slope = -2.

Therefore  k/2y =  -2  so k = -4y and y = -k/4

y^2 = kx so k^2/16 = kx giving x = k/16.

Substituting for x and y in y = -2x + c:

-k/4 = -2 k/16 + c

-k/4 = -k/8  + c

c = -k/4 + k/8 = -k/8.

So -k = 8c

k = -8c.

3 0
4 years ago
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Answer:

the answer is 42.

Step-by-step explanation:

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7 0
3 years ago
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How many times can four be subtracted from 2496​
Harrizon [31]

Answer:

624

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3 years ago
4.25 -2.5x = 14.75<br> I need help
shtirl [24]

\text {Hey! Let's Solve this Equation!}

\text {\underline {The First Step is to do Keep Change Change (KCC)}}

\text {Keep: 4.25}\\\text {Change: - into +}\\\text {Change: 2.5x into -2.5x}

\text {\underline {The Next Step is to Flip the Equation}}

\text {Before: 4.25+-2.5x=14.75}\\\text {After: -2.5x+4.25=14.75}

\text {\underline {The Next Step is to Subtract 4.25}}

\text {-2.5x+4.25-4.25=14.75-4.25=10.5}\\\text {-2.5x=10.5}

\text {\underline {The Final Step is to Divide -2.5}}

\text {-2.5x/-2.5=10.5/-2.5}

\text {Remember that Dividing a Positive to a Negative will Equal a Negative.}

\text {Your Answer Would Be:}

\fbox {x=-4.2}

\text {Best of Luck!}

6 0
3 years ago
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Are the triangles similar? Justify your answer​
cluponka [151]

Answer:

Yes

Step-by-step explanation:

If you divide all the sides of the larger triangle by 3, it's equivalent to the sides of the smaller triangle. Therefore, they are similar.

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