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sdas [7]
4 years ago
11

Solve for c. a(c+b) = d.

Mathematics
1 answer:
kipiarov [429]4 years ago
3 0

Answer:

Step-by-step explanation:

Hello,

we assume that a is different from 0 otherwise there is not much we can say on c and then we can write

a(c+b)=d

<=> ac+ab=d

<=> ac = d - ab

<=> c = \dfrac{d-ab}{a} =\dfrac{d}{a}-b

Hope this helps

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Circumference of a circle =2πr

6.28=2πr

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3.14/3.14=r

<h2>therefore,r=1</h2>
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2 years ago
Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the
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Answer:

There are none.

Step-by-step explanation:

<u>No calculus involved:</u>

The line, in slope-intercept form, has equation y=-10x+17, ie is always decreasing (easy to spot applying the definition)

Meanwhile, y=e^{5x} is always increasing over its domain.

At no point the tangent will be decreasing.

<u>Let's use calculus</u>

We are to solve the equation y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2 which has no real solutions.

8 0
3 years ago
The ____ are two straight dotted lines, one horizontal and one vertical.
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5 0
3 years ago
What is the lateral area of the rectangular prism? Assume the prism is resting on its base. A. 135 in2 B. 270 in2 C. 300 in2 D.
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8 0
4 years ago
Need to know the area of the composite figure.
Deffense [45]

Answer:

  51 m^2

Step-by-step explanation:

The shaded area is the difference between the area of the overall figure and that of the rectangular cutout.

The applicable formulas are ...

  area of a triangle:

     A = (1/2)bh

  area of a rectangle:

     A = bh

  area of a trapezoid:

     A = (1/2)(b1 +b2)h

___

We note that the area of a triangle depends only on the length of its base and its height. The actual shape does not matter. Thus, we can shift the peak of the triangular portion of the shape (that portion above the top horizontal line) so that it lines up with one vertical side or the other of the figure. That makes the overall shape a trapezoid with bases 16 m and 10 m. The area of that trapezoid is then ...

  A = (1/2)(16 m + 10 m)(5 m) = 65 m^2

The area of the white internal rectangle is ...

  A = (2 m)(7 m) = 14 m^2

So, the shaded area is the difference:

  65 m^2 -14 m^2 = 51 m^2 . . . . shaded area of the composite figure

_____

<em>Alternate approach</em>

Of course, you can also figure the area by adding the area of the triangular "roof" to the area of the larger rectangle, then subtracting the area of the smaller rectangle. Using the above formulas, that approach gives ...

  (1/2)(5 m)(16 m - 10 m) + (5 m)(10 m) - (2 m)(7 m) = 15 m^2 + 50 m^2 -14 m^2

  = 51 m^2

7 0
4 years ago
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