What is the constant of proportionality in xy-11=5?

The given equations are 3x + y - 1 = 0 and 6x + 2y - 2 = 0.

So,

Equation I = (3x + y = 1) and

Equation II = (6x + 2y = 2)

= { 2(3x + y) = 2}

= 3x + y = 2/2

= 3x + y = 1

So, The given equations are 3x + y = 1 and 3x + y = 1.

Thus, there is one equation in two variables.

So, the given equations have an infinite number of solutions.

Answer:

1st option; 3x-y=-1

Step-by-step explanation:

-3x + y = 1

we can divide through by -1 so that the 'x' value is positive:

3x - y = -1

Answer: 13

Step-by-step explanation:

Distribute t.

Multiply 3 by each value in parentheses to get

3t - 12 = 2t + 1

Add 12 to both sides

3t = 2t + 13

Subtract 2t from both sides

t = 13

Answer:

t = 13

Step-by-step explanation:

[tex]3(t-4)=2t+1\\\\3t-12=2t+1\\\\t-12=1\\\\t=13[/tex]

Answer:

21 above is the answer

Step-by-step explanation:

Answer:

12,448.9

Step-by-step explanation:

i'm sorry if this is wrong

Step-by-step explanation:

Arc length formula is

[tex]s = rx[/tex]

where x is radinas.

A semi circle has a radian measure of

[tex]\pi[/tex]

The radius is half of the diameter, 12 so the radius is

[tex]12 \times \frac{1}{2} = 6[/tex]

So the arc length is

[tex]6 \times \pi = 6\pi[/tex]

Area of semi circle is

[tex] \frac{1}{2} \pi {r}^{2} [/tex]

where r is the radius.

[tex] \frac{1}{2} \pi6 {}^{2} [/tex]

[tex] \frac{1}{2} 36\pi[/tex]

[tex]18\pi[/tex]

Answer:

A 3x10^-6

Step-by-step explanation:

Answer:

-4x+8=24

24-8

16/-4x

x= -4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

-4x + 8 = 24

Subtract 8 from both sides to isolate the x.

-4x + 8 = 24

       -8    -8

-4x       = 16

Divide -4 from both sides to solve for x.

-4x = 16

/-4    /-4

x = -4

Supposing a spinner with 4 sides, the sample space is:

{H1, H2, H3, H4, T1, T2, T3, T4}

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

Hence, the sample space is:

{H1, H2, H3, H4, T1, T2, T3, T4}

For more on sample space, you can check https://brainly.com/question/25775544

Answer: [tex]2c^9[/tex]

Step-by-step explanation:

I'm assuming this is the expression: [tex]6a^3b^2c^{10}+\:20c^{10}\:-\:8a^3b^2c^9[/tex]

[tex]\mathrm{Factor\:}6a^3b^2c^{10}[/tex] (Expand using 2's and 3's as they are the common factor in all terms)

[tex]2\cdot \:3\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

[tex]\mathrm{Factor\:}20c^{10}[/tex] (5 needed to expand the coefficient)

[tex]2\cdot \:2\cdot \:5\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

[tex]\mathrm{Factor\:}8a^3b^2c^9[/tex]

[tex]2\cdot \:2\cdot \:2\cdot \:a\cdot \:a\cdot \:a\cdot \:b\cdot \:b\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

Common factors (terms that are in all expressions):

[tex]2\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c\cdot \:c[/tex]

Simplify:

[tex]2c^9[/tex]

[tex]5^x = 3^{2x-1}\\\\\implies \ln(5^x) = \ln\left(3^{2x-1}\right)\\\\\implies x \ln 5 = (2x-1) \ln 3\\\\\implies x \ln 5 = 2x \ln 3 - \ln 3\\\\\implies 2x \ln 3 - x \ln 5 = \ln 3\\\\\implies x(2 \ln3 - \ln 5) = \ln 3\\\\\implies x =\dfrac{\ln 3}{2 \ln 3 - \ln 5} = 1.87[/tex]

The solution to the equation is x ≈ 1.864 (correct to 3 significant figures).

To solve the equation 5ˣ = 3²ˣ⁻¹ using logarithms, we'll take the logarithm of both sides to bring down the exponent. Since the bases are different (5 and 3), we can use either the natural logarithm (ln) or the common logarithm (log base 10). Let's use the natural logarithm (ln):

Take the natural logarithm (ln) of both sides:

ln(5^x) = ln(3²ˣ⁻¹)

Apply the logarithm rule: ln(a^b) = b * ln(a):

x * ln(5) = (2x - 1) * ln(3)

Expand the equation:

x * ln(5) = 2x * ln(3) - ln(3)

Move the terms with "x" to one side of the equation:

x * ln(5) - 2x * ln(3) = -ln(3)

Factor out "x" from the left side:

x * (ln(5) - 2 * ln(3)) = -ln(3)

Solve for "x":

x = -ln(3) / (ln(5) - 2 * ln(3))

Now, we can calculate the value of "x" using a calculator:

ln(3) ≈ 1.099

ln(5) ≈ 1.609

x ≈ -1.099 / (1.609 - 2 * 1.099) ≈ -1.099 / (1.609 - 2.198) ≈ -1.099 / (-0.589) ≈ 1.864

Therefore, the solution to the equation is x ≈ 1.864 (correct to 3 significant figures).

Learn more about natural logarithm from the link given below.

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#SPJ2

Answer:

35

Step-by-step explanation:

Let me know if I got it right

Answer:

[tex]x=\frac{3+\sqrt{6} }{3}, \frac{3-\sqrt{6} }{3}[/tex]

Step-by-step explanation:

Let's see

[tex]\\ \rm\rightarrowtail 3x^2-6x+1=0[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{36-12}}{6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm \sqrt{24}}{6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{6\pm 2\sqrt{3}}{6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{3+\sqrt{3}}{6}[/tex]

Answer: 4.5

Step-by-step explanation:

S= ut + 1/2(at)

S= 10(1/2) + 1/2(-2x1/2)

S= 5 + 1/2(-1)

S= 5 + (-.5)

S= 4.5

Answer:

304 and 512

Step-by-step explanation:

Answer:

Step-by-step explanation:

C = π d

3.14 d = 34.54

d = 11 yards

Answer:

Step-by-step explanation:

C = πD

D = C/π

D = 34.54 / 3.14

D = 11 yards

Answer:

23.33333%

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 1/2 + x = 5 1/3                Change the mixed numbers to improper fractions

5/2 + x = 16/3                   The lowest common multiple is 6. Multiply by 6

5*3 + 6x = 16*2

15 + 6x = 32                      Subtract 15 from both sides.

6x = 32 - 15

6x = 17                              Divide by 6

6x/6 = 17/6

x = 2 5/6

Check

5/2 + 17/6 = 16/3

15/6 + 17/6 = 32/6

32/6 = 32/6                    The question checks.

Answer:

No it does not

Step-by-step explanation:

Two points simplify to 1/6 whilst the other, 1/5

Answer:

18

Step-by-step explanation:

The expression would be 24/x + 15. 24 divided by 8 is 3 and 3 plus 15 is 18.

Answer:

The first one

Step-by-step explanation:

SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the one triangles are said to be congruent.

The statement, The hypotenuse is NOT located across from the right angle is false.

A right-angled triangle is a type of triangle that has an angle that measures 90 degrees. The triangle has three sides. The hypotenuse is the longest side of a right-angled triangle. Other sides are the base and the length. The sum of sides in a a right-angled triangle is 180 degrees.

Please find attached an image of a right-angled triangle. To learn more about  a triangle, please check: https://brainly.com/question/9329354

Answer:

The theoretical probability is 1/6. The experimental probability is 1/5.

Step-by-step explanation:

Answer:

c for lazy goofy peoplee

Step-by-step explanation:

Answer:

N+60

Step-by-step explanation:

[tex]0.128 \\ = \frac{128}{1000} \\ = \frac{16}{125} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

16/125

Step-by-step explanation:

Write 0.128 as

0.128/1

Multiply both numerator and denominator by 10 for every number after the decimal point

(0.128 × 1000)/(1 × 1000) = 128/1000

Reducing the fraction gives

16/125

Answer:

.05

Step-by-step explanation:

300/15

20 sqr yrds per gal

1/20

1/20 or .05 Gal per sqr yrd

hi how have you been and i think u did get it right

The missing numbers in the multiplication table are 49, 48 and 56 respectively

Given:

35

42

?

35 = 7 × 5

42 = 7 × 6

? = 7 × 7 = 49

40

?

?

40 = 8 × 5

? = 8 × 6 = 48

? = 8 × 7 = 56

Therefore, the missing numbers in the multiplication table are 49, 48 and 56 respectively

Learn more about multiplication:

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