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sdas [7]
2 years ago
13

Use the number line below, where RS = 5y + 2, ST = 3y + 9, and RT = 59.

Mathematics
2 answers:
Alexus [3.1K]2 years ago
8 0
The answer would be the first option!!
nirvana33 [79]2 years ago
7 0

Answer:

a) the value of y is 7y

b) rs = 5y +2

= 7y

st = 3y +9

=12y

it help you

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A thin metal plate, located in the xy-plane, has temperature T(x, y) at the point (x, y). Sketch some level curves (isothermals)
Sophie [7]

Answer:

Step-by-step explanation:

Given that:

T(x,y) = \dfrac{100}{1+x^2+y^2}

This implies that the level curves of a function(f) of two variables relates with the curves with equation f(x,y) = c

here c is the constant.

c = \dfrac{100}{1+x^2+2y^2} \ \ \--- (1)

By cross multiply

c({1+x^2+2y^2}) = 100

1+x^2+2y^2 = \dfrac{100}{c}

x^2+2y^2 = \dfrac{100}{c} - 1 \ \  -- (2)

From (2); let assume that the values of c > 0 likewise c < 100, then the interval can be expressed as 0 < c <100.

Now,

\dfrac{(x)^2}{\dfrac{100}{c}-1 } + \dfrac{(y)^2}{\dfrac{50}{c}-\dfrac{1}{2} }=1

This is the equation for the  family of the eclipses centred at (0,0) is :

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1

a^2 = \dfrac{100}{c} -1  \ \ and \ \ b^2 = \dfrac{50}{c}- \dfrac{1}{2}

Therefore; the level of the curves are all the eclipses with the major axis:

a =  \sqrt{\dfrac{100 }{c}-1}  and a minor axis b =  \sqrt{\dfrac{50 }{c}-\dfrac{1}{2}}  which satisfies the values for which 0< c < 100.

The sketch of the level curves can be see in the attached image below.

7 0
3 years ago
As a single logarithm, 2log2 6- log29+ 1/3log2 27 = log2 12.
Ipatiy [6.2K]

Answer:

true

Step-by-step explanation:

2log2 6- log2 9+ 1/3log2 27 =

= log2 6² - log2 9 + log2 27^(1/3)

= log2 36 - log2 9 + log2 3

= log2 [(36 × 3)/9]

= log2 12

The statement is true.

3 0
2 years ago
Estimate a 50% tip on a do the dinner bell of $47.84 by first round in the bill amount to the nearest $10
Andrej [43]

Answer:

Tip= $25

Step-by-step explanation:

<u>First, we need to round the bill to the nearest tenth.</u>

Bill= 47.84 = 50

<u>Now, we can calculate the tip using the following formula:</u>

Bill proportion= 50% = 0.5

Tip= Bill*tip proportion

Tip= 50*0.5

Tip= $25

On a $50 bill, the tip is $25. The total amount to pay is $75.

8 0
3 years ago
1 yogurt cost 55p how many can be bought for £5
Alenkinab [10]
If one pound of yogurt cost 55 (cents?) then, Two yogurts cost $1.10
Three yogurts cost $1.65
Four yogurts cost $2.20
Five yogurts cost $2.75
Six yogurts cost $3.30
7 0
3 years ago
Lindsay has scored 15 goals in 10 lacrosse games this season. a) What is her unit rate of scoring? b) How many goals might Linds
pashok25 [27]
A)1.5 goals per match
b) 1.5x35= 52.5 so 53
Assuming she is consistent
8 0
3 years ago
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