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Yuki888 [10]
3 years ago
7

How many solutions does the equation 4y - 4y - 12 = 14 -2 have?

Mathematics
1 answer:
ddd [48]3 years ago
3 0

Answer:

Zero solutions

The sides are not equal

Step-by-step explanation:

4y - 4y - 12 = 14 -2\\\\\mathrm{Add\:similar\:elements:}\:4y-4y=0\\-12=14-2\\\\\mathrm{Subtract\:the\:numbers:}\:14-2=12\\-12=12\\\\\mathrm{The\:sides\:are\:not\:equal}\\\mathrm{No\:Solution}

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!<br><br> What is the value of x?
MA_775_DIABLO [31]

Answer:   \bold{C)\ -\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

.\qquad \dfrac{x+2}{15}=\dfrac{x+1}{5}\\\\\\\rightarrow (15)\dfrac{x+2}{15}=\dfrac{x+1}{5}(15)\\\\\\\rightarrow x+2=3(x+1)\\\\\rightarrow x+2=3x+3\\\\\rightarrow \qquad 2=2x+3\\\\\rightarrow \qquad -1=2x\\\\\rightarrow \qquad -\dfrac{1}{2}=x

8 0
3 years ago
The red lines on the diagram show the layout for a running event. Runners will race around the triangle-shaped grassy area. What
almond37 [142]

Answer:

Total distance = 5.754 km

Step-by-step explanation:

Red lines of the right triangle show the layout of the race course.

Total length of the race course = Perimeter of the triangle

Perimeter of the triangle = Sum of the measures of all three sides

                                         = 1.83 + 1.524 + 2.4

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Therefore, total distance of the race course is 5.754 km.

3 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 &lt; t &lt; 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

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

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

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5 0
3 years ago
Chloe wants to cut a 37 in. piece of ribbon into three pieces. The second piece is to be 2 in. longer than the first, and the th
valentinak56 [21]

1st piece = x

2nd piece = x+2

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7 0
3 years ago
Which is the definition of a ray?
zlopas [31]

Answer:

a part of a line that has one endpoint and extends indefinitely in one direction

Step-by-step explanation:

a ray has one endpoint, then has an arrow going indefinitely in one direction.

8 0
3 years ago
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