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Y_Kistochka [10]
3 years ago
12

What's the equivalent of the expression -2 (-x +5y ) + 3 (2x - 6y)?

Mathematics
jabraya
2 years ago
where's the answer
1 answer:
Anastasy [175]3 years ago
6 0

Answer:

Step-by-step explanation:

-2 (-x +5y ) + 3 (2x - 6y)

Opening bracket

= 2x - 10y + 6x - 18y

= 8x - 28y

= 4(2x - 7y)

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choose all expressions that are equal to 2.65 + 3.78. A. 2.56 + 3.86 B. 3.78 + 2.65 C. 10 - 3.67 D. 9.51- 3.08 E. 8.21 - 2.78.
GrogVix [38]

2.65 + 3.78 = 6.43

B, D are equal to 6.43

4 0
3 years ago
Find the length of the following​ two-dimensional curve. r (t ) = (1/2 t^2, 1/3(2t+1)^3/2) for 0 < t < 16
andrezito [222]

Answer:

r = 144 units

Step-by-step explanation:

The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

r(t)=\int\limits^a_b ({r`)^2 \, dt =\int\limits^b_a \sqrt{((\frac{dx}{dt} )^2 +\frac{dy}{dt} )^2)}     dt

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.

Substituting the terms of the equation and the derivative of r´, as follows,

r(t)= \int\limits^b_a \sqrt{((\frac{d((1/2)t^2)}{dt} )^2 +\frac{d((1/3)(2t+1)^{3/2})}{dt} )^2)}     dt

Doing the operations inside of the brackets the derivatives are:

1 ) (\frac{d((1/2)t^2)}{dt} )^2= t^2

2) \frac{(d(1/3)(2t+1)^{3/2})}{dt} )^2=2t+1

Entering these values of the integral is

r(t)= \int\limits^{16}_{0}  \sqrt{t^2 +2t+1}     dt

It is possible to factorize the quadratic function and the integral can reduced as,

r(t)= \int\limits^{16}_{0} (t+1)  dt= \frac{t^2}{2} + t

Thus, evaluate from 0 to 16

\frac{16^2}{2} + 16

The value is r= 144 units

5 0
3 years ago
In a fruit basket , there are 6 apples and 3 oranges . what fraction of the basket are apples ?
solong [7]

Answer:

6/9=2/3

hope this helps

have a good day :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
For all values of x, f(x)=2x^2 and g(x)= x+1<br> Solve fg(x) = gf(x)
Andrej [43]

Answer:

-0.25

Step-by-step explanation:

→ Find fg(x)

2 ( x + 1 )² = 2x² + 4x + 2

→ Find gf(x)

2x² + 1

→ Equate them

2x² + 1 = 2x² + 4x+ 2

→ Move everything to the right hand side

0 = 4x + 1

→ Solve

x = -0.25

4 0
2 years ago
Read 2 more answers
Error analysis- MULTIPLY AND DIVIDE DECIMALS
hram777 [196]
Hey. Why are you so worried. Here is the answer. There is a very small problem.It is that the decimal point is not added.

8 0
3 years ago
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