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s2008m [1.1K]
3 years ago
6

The perimeter of a rectangle is less than 10 inches. The length is x and the width is x − 5. If the solution is x < 5, then t

he length is less than 5. Is this a viable solution?
Mathematics
1 answer:
dezoksy [38]3 years ago
6 0

Answer: it is a non viable solution

If the length is less than 5 then the width (x - 5) will be less than zero. A rectangle with no width does not exist so this solution is non-viable.

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Harrison has 90 CDS in his music collection. If 40% of those CDS are country music and 50% are pop, how many CDS are other types
Ksenya-84 [330]
10% CDS are other types of music
4 0
3 years ago
Which system of equations could be graphed to solve the equation below? log Subscript 0. 5 Baseline x = log Subscript 3 Baseline
Vanyuwa [196]

You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

The system of equations that could be graphed to solve the equation given is

  • y = \log_{0.5}(x)\\\\
  • y = \log_3(2+x)

<h3>How can we form a system of equations from an equation?</h3>

Suppose the equation be a = b\\

Let there is a symbol c such that we have a = b = c

It is because a and b are same measure (that is exactly what a = b means)

and we gave another name c to that measure.

Thus, we have

a = c\\b = c

in addition to  a = b\\

<h3>Using the above method to find the system of equations needed</h3>

Since the given equation is log_{0.5}(x) = log_2(2+x)

The 2d graphs are usually expressed as y = f(x) on X-Y plane.

Taking the equation's expressions equal to y, we get

log_{0.5}(x) = log_2(2+x) = y

or, we get system of equations as

y = log_{0.5}(x)\\\\y = log_3{(2 + x)}

Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is

  • y = \log_{0.5}(x)\\\\
  • y = \log_3(2+x)

Learn more about solutions to system of equations here:

brainly.com/question/14550337

4 0
3 years ago
What is the perimeter of the track, in meters?
Serjik [45]

Answer:

i think the answer is  (12*3.14 = 37.68cm is the circumference and 6^2*3.14 = 113.04cm2 is the area.)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the equation of the line shown in this graph? <br><br> The points are (-2, 2) and (-2, -3)
KengaRu [80]

\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-2}{-2-(-2)}\implies \cfrac{-3-2}{-2+2}\implies \stackrel{und efined}{\cfrac{-5}{0}}


so our slope is undefined, that means a vertical line, check the picture below

5 0
3 years ago
PLEASE HELP ME IM STRUGGLING!!!
Kitty [74]

Answer:

The required answer is c=7\sqrt{3}

Therefore the number in green box should be 7.

Step-by-step explanation:

Given:

AB = 7√2

AD = a , BD = b , DC = c , AC = d

∠B = 45°, ∠C = 30°

To Find:

c = ?

Solution:

In Right Angle Triangle ABD Sine identity we have

\sin B = \dfrac{\textrm{side opposite to angle B}}{Hypotenuse}\\

Substituting the values we get

\sin 45 = \dfrac{AD}{AB}= \dfrac{a}{7\sqrt{2}}

\dfrac{1}{\sqrt{2}}= \dfrac{a}{7\sqrt{2}}\\\\\therefore a=7

Now in Triangle ADC Tangent identity we have

\tan C = \dfrac{\textrm{side opposite to angle C}}{\textrm{side adjacent to angle C}}

Substituting the values we get

\tan 30 = \dfrac{AD}{DC}= \dfrac{a}{c}\\\\\dfrac{1}{\sqrt{3}}=\dfrac{7}{c}\\\\\therefore c=7\sqrt{3}

The required answer is c=7\sqrt{3}

8 0
3 years ago
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