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yanalaym [24]
2 years ago
12

What is y/3 + 6 = 9?​

Mathematics
2 answers:
eduard2 years ago
7 0

Answer:

y = 9

Step-by-step explanation:

y/3 + 6 = 9

Subtract 6 from both sides

y/3 + 6 - 6 = 9 - 6

Simplify

y/3 = 3

Multiply both sides by 3

3y/3 = 3 * 3

y = 9

VLD [36.1K]2 years ago
5 0

y = 9 because 9 over 3 simplified is 3 and 3 plus 6 equals 9

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The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions
AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

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

Given that,

The Area of the rectangle is 273.

<u><em>Step 1</em></u><em> :</em>

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

<u><em>Step 2</em></u><em> :</em>

Area of the rectangle = length \times width

                             273 = (2x - 5) x

                             273 = 2x^2 - 5x

<u><em>Step 3</em></u><em> :</em>

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

<u><em>Step 4</em></u><em> :</em>

Find the roots using factorizing method,

ac = 2\times-273 = -546 and b= -5

Factorizing -546 as -26\times21

The product of -26\times21 = -546

The sum of -26 + 21 = -5

<u><em>Step 5</em></u><em> :</em>

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

<u><em>Step 6</em></u><em> :</em>

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

                                                = 2(10.5) - 5

                                                = 21 - 5

                                    length = 16 meters

5 0
3 years ago
Answer quickly for brainliest.
Ratling [72]

Answer:

the <u>one all the way on the left</u> and the <u>one all the way on the right!</u>

<u />

<u>the points that match are </u><em><u> t,b</u></em><u>     </u><em><u>a,v</u></em><u>    </u><em><u> u,c </u></em>

Step-by-step explanation:

Congruent Triangles - Two angles and included side (ASA) Definition: Triangles are congruent if any two angles and their included side are equal in both triangles. There are five ways to test that two triangles are congruent. This is one of them (ASA).

5 0
3 years ago
How many points do you get if you answer this question ? ​
GrogVix [38]

Answer:

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Step-by-step explanation:

i did not get it what question?

7 0
2 years ago
3/5 in two equivalent forms
Deffense [45]

To get the equivalent of 3/5, multiply both the numerator and denominator by the same number. So, multiply 3/5 by 2 and you will get 6/10. Multiply 3/5 by 3 and you will get 9/15. <em><u>The equivalent fractions of 3/5 are 6/10 and 9/15.</u></em>

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6 0
3 years ago
Read 2 more answers
It is known that the point P(-9,18) belongs to the graph of the function y=k/x. Find k.
riadik2000 [5.3K]

Answer:

k = (-162).

Step-by-step explanation:

A point of the form (x_{0},\, y_{0}) belongs to the graph of this function, y = k / x, if and only if the equation of this function holds after substituting in x = x_{0} and y = y_{0}.

The question states that the point (-9,\, 18) belongs to the graph of this function. Thus, the equation of this function, y = k / x, should hold after substituting in x = (-9) and y = 18:

y = k / x.

18 = k / (-9).

Solve this equation for the constant k:

\begin{aligned}k &= 18 \times (-9) \\ &= (-162)\end{aligned}.

Thus, k = (-162).

6 0
2 years ago
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