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3 years ago

Find the circumference of this circle using 3 for T. C~[?] 15 C = 27Tr

Mathematics

2 answers:

Allushta [10]3 years ago

8 0

Answer: 90

Step-by-step explanation:

c = 2πr

r = 15

d = 30

30π = 90

gogolik [260]3 years ago

6 0

Answer:

C≈90

Step-by-step explanation:

remember circumference formula

$\displaystyle C = 2\pi r$

given that,r=15 thus substitute:

$\displaystyle C = 2\pi .15$

simplify mutilation:

$\displaystyle C = 30\pi$

substitute the given value of π:

$\displaystyle C = 30.3$

simplify multiplication:

$\displaystyle C = 90$

and we are done!

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Mrs. Hetler took her tour guide group on a trip that was 3 miles long. If they stopped

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Find the values of a and b such that x^2-2x+2=(x-a)^2+b

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Answer:

a = 1, b = 1

Step-by-step explanation:

Expand the right side and compare the coefficients of like terms on both sides, that is

right side

(x - a)² + b ← expand factor using FOIL

= x² - 2ax + a² + b

Compare to left side x² - 2x + 2

Compare the coefficients of the x- term

- 2a = - 2 ( divide both sides by - 2 )

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Compare the constant terms

a² + b = 2 ( substitute a = 1 )

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4 years ago

A motorist left town X at 08 00 for town Y situated 120km away, travelling at a constant speed of v km/hr, so as to arrive at Y

mote1985 [20]

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3 years ago

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Which statements are true about the ordered pair (-1,-4) and the system of equations?

rewona [7]

Answer:

1.When (-1,-4) is substituted into the first equation, the equation is false. FALSE

2. When (-1,-4) is substituted into the first equation, the equation is true. TRUE

3. When (-1,-4) is substituted into the second equation, the equation is false.

FALSE

4. When (-1,-4) is substituted into the second equation, the equation is true. TRUE

5.The ordered pair (-1,-4) is a solution to the system of linear equations .TRUE

6.The ordered pair (-1,-4) is not a solution to the system of linear equations.

FALSE

Step-by-step explanation:

Here, the given set if equations are:

x - y = 3

7 x - y = - 3

Now, substituting the given value (-1,-4) in the given equations, we get

(1) Substitute (-1, -4) in first equation:

x - y = 3 : (-1, -4)

⇒ (-1) - (-4) = -1 + 4 = 3 = Right Side

So, the equation x - y = 3 holds TRUE for (-1,-4)

(2) Substitute (-1, -4) in second equation:

7 x - y = - 3 : (-1, -4)

⇒ 7(-1) - (-4) = -7 + 4 = -3 = Right Side

So, the equation 7 x - y = - 3 holds TRUE for (-1,-4)

Now, the given options are:

When (-1,-4) is substituted into the first equation, the equation is false. FALSE, equation is satisfied.

When (-1,-4) is substituted into the first equation, the equation is true.

TRUE

When (-1,-4) is substituted into the second equation, the equation is false.

FALSE, the given equation is satisfied.

When (-1,-4) is substituted into the second equation, the equation is true.

TRUE

The ordered pair (-1,-4) is a solution to the system of linear equations .

TRUE,as the given point satisfies both the equations.

The ordered pair (-1,-4) is not a solution to the system of linear equations.

FALSE,as the given point satisfies the equation.

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