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iVinArrow [24]
3 years ago
11

X=2y=14 and x-3y=-11

Mathematics
1 answer:
levacccp [35]3 years ago
7 0
X - 2y= 14
x - 3y= - 11   | * ( -1)

x - 2y = 14
-x + 3y= 11
----------------
/    y= 25

x - 2*25= 14
x - 50 =14
x= 14+50
x=64

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Each number after the first is derived in the same way from the previous number. What is the number that logically follows 63?
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The number that logically follows 63 would be 31.

arithmetic progression

We arrive at this logical conclusion by finding the common difference between the second number (94) and (63) in the arithmetic series.

That is, 94 - 63 = 31

Adding this common difference (31) in reversal would lead to the same logical order: 31+63 = 94. Hence, 31 is the number that logically follows 63. Remember, once we know the common difference in the numeric series, it allows us what number should logically follow.

You can find a similar question answered here  brainly.com/question/7882626

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2 years ago
Find the value of x. Then find the angle measures of the polygon.
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Answer:

X=140/3

Step-by-step explanation:

180-40=140, 140 divided by 3 is 140/3, so 40+3x140/3=180

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Which is bigger 6 liters or 6,500 millimiters
Makovka662 [10]
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Christopher buys 120 hot dog buns for a picnic. He buys two different brands of hot dog buns. Brand X has 12 hot dog buns in a p
lianna [129]

A system of equations that can be used to find the number of packages of Brand X hot dog buns and Brand Y hot dog buns that Christopher buys is:

12x + 8y = 120  

4.5x + 3.5y = 49.50.

The number of packages of Brand X bought is 4 and the number of packages of Brand Y bought is 9

The following equations can be derived from the question

12x + 8y = 120  equation 1

4.5x + 3.5y = 49.50 equation 2

x represents the number of packages of Brand X

y represents the number of packages of Brand Y

The elimination method would be used to determine the values of x and y

Multiply equation 1 by 4.5 and equation 2 by 12

54x + 36y = 540 equation 3

54x + 42y = 594 equation 4

 Subtract equation 3 from 4

6y = 54  

Divide both sides of the equation by 6

y = 9

Substitute for y in equation 1

12x + 8(9) = 120

12x + 72 = 120

12x = 48

x = 4

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

6 0
3 years ago
Find the equation of the tangent line to the curve (a lemniscate)
olya-2409 [2.1K]

Answer:

m=\frac{9}{13} and b=\frac{40}{13}

Step-by-step explanation:

The equation of curve is

2(x^2+y^2)^2=25(x^2-y^2)

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})

4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})

The point of tangency is (-3,1). It means the slope of tangent is \frac{dy}{dx}_{(-3,1)}.

Substitute x=-3 and y=1 in the above equation.

4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})

40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})

-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}

80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240

130\frac{dy}{dx}=90

Divide both sides by 130.

\frac{dy}{dx}=\frac{9}{13}

If a line passes through a points (x_1,y_1) with slope m, then the point slope form of the line is

y-y_1=m(x-x_1)

The slope of tangent line is \frac{9}{13} and it passes through the point (-3,1). So, the equation of tangent is

y-1=\frac{9}{13}(x-(-3))

y-1=\frac{9}{13}(x)+\frac{27}{13}

Add 1 on both sides.

y=\frac{9}{13}(x)+\frac{27}{13}+1

y=\frac{9}{13}(x)+\frac{40}{13}

Therefore, m=\frac{9}{13} and b=\frac{40}{13}.

5 0
2 years ago
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