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Rainbow [258]
3 years ago
5

Using elimination solve 2x+7y=1 and 2x-4y=12

Mathematics
1 answer:
kirill [66]3 years ago
5 0
The workings are in the picture above

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The note A has a frequency of 1,760 hertz. The note D has a period of 1,175 hertz. Find theratio of A to D to two decimal places
valina [46]

Ratios

Note A has a frequency of

fa=1,760 Hz

Note D has a period of 1,175 hertz

(the previous data should be frequency, not period)

We are required to find the ratio of A to D. Let's call it r:

r=\frac{1,760^{\prime}}{1,175}

Dividing: r = 1.4978. Rounding to two decimal places:

r = 1.50

Now to express the answer in integer ratio form, we need to simplify the fraction.

First, we divide by 5 up and down:

r=\frac{352^{\prime}}{235}

There are no more common divisors for both numbers, thus the integer ratio form is r = 352/235

7 0
2 years ago
What is the opposite of the number 14​
lidiya [134]

Answer:

The opposite of 14 is -14.

Step-by-step explanation:

Opposites are numbers with the same distance from 0 but one is to the right of 0 and the other is to the left of 0.

The opposite of 0 is itself,0.

So the opposite of 5 is -5 since both 5 and -5 have the same distance from 0 and one is to the left and one is to the right of 0.

The opposite of 14 is -14 since both have the same distance from 0 and one is to the right and one is to the left of 0.

You can also think of this question as what can I add to 14 that will give me 0.

The answer is -14 since -14+14=0.

Another word for opposites is additive inverses.  When you add additive inverses you get 0.

Another example: What is the opposite of -16?  

The answer is 16 since 16+(-16)=0.

3 0
3 years ago
Read 2 more answers
-9y + 2 - 1 + 6 + y - 7
dem82 [27]
-8y is the answer. 
-9y+y=-8y
2-1+6-7=0
5 0
3 years ago
Read 2 more answers
Help me with this please anyone x
Murrr4er [49]
\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ k}}&\cdot&x
\\
&&  y={{k }}x
\end{array}\\\\
-------------------------------\\\\

\bf \textit{we know that }\qquad 
\begin{cases}
y=42\\
x=6
\end{cases}\implies 42=k6\implies \cfrac{42}{6}=k
\\\\\\
7=k\impliedby \textit{constant of variation}
\\\\\\
thus\qquad \qquad y=7x
\\\\\\
\textit{what is "y" when x=5?}\qquad y=7(5)\impliedby \textit{solve for "y"}
\\\\\\
\textit{what is "x" when y=28?}\qquad 28=7x\impliedby \textit{solve for "x"}
6 0
4 years ago
Find the values of x and y. Write your answers in simplest form
SCORPION-xisa [38]

Answer:

x =6

y=6\cdot \sqrt{2}

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Choosing any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image shows a right triangle where the angle of 45° has x as the opposite leg, 6 as the adjacent leg, and y as the hypotenuse. The trigonometric ratio that applies here is the cosine ratio, defined as:

\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}

\displaystyle \cos 45^\circ=\frac{6}{y}

Solving for y:

\displaystyle y=\frac{6}{\cos 45^\circ}

\cos 45^\circ=\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}}

Substituting:

\displaystyle y=\frac{6}{\frac{1}{\sqrt{2}}}

y=6\cdot \sqrt{2}

Now use the tangent ratio:

\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}

\displaystyle \tan 45^\circ=\frac{x}{6}

Solving for x:

x=6\cdot\tan 45^\circ

\tan 45^\circ=1

Substituting:

x=6\cdot 1

x =6

Answer:

x =6

y=6\cdot \sqrt{2}

6 0
3 years ago
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