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julia-pushkina [17]
3 years ago
10

Solve for u. -32=-4u simplify your answer as much as possible

Mathematics
2 answers:
Sholpan [36]3 years ago
7 0

Answer: u = 8

Step-by-step explanation:

We need to get the variable by itself first. In this case the variable is u.

u is really just mutliplied by -4, (-4 x u). In this situation, the opposite of  multiplication is division. So, we need to divide -4u by -4 on each side.

-32 = -4u

-32/-4 = -4u/-4

8 = u

u = 8

kari74 [83]3 years ago
4 0
U=8
you divide by -4 on both sides and -32/-4 = 8
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What is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2
satela [25.4K]

The value of c such that the line y = 2\cdot x + 3 is tangent to the parabola y = c\cdot x^{2} is -\frac{1}{3}.

If y = 2\cdot x + 3 is a line <em>tangent</em> to the parabola y = c\cdot x^{2}, then we must observe the following condition, that is, the slope of the line is equal to the <em>first</em> derivative of the parabola:

2\cdot c \cdot x = 2 (1)

Then, we have the following system of equations:

y = 2\cdot x + 3 (1)

y = c\cdot x^{2} (2)

c\cdot x = 1 (3)

Whose solution is shown below:

By (3):

c =\frac{1}{x}

(3) in (2):

y = x (4)

(4) in (1):

y = -3

x = -3

c = -\frac{1}{3}

The value of c such that the line y = 2\cdot x + 3 is tangent to the parabola y = c\cdot x^{2} is -\frac{1}{3}.

We kindly invite to check this question on tangent lines: brainly.com/question/13424370

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