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3 years ago

7

A wire is first bent into the shape of a triangle. Each side of the triangle is 12 cm long. Then the wire is unbent and reshaped

into a square. What is the length of
a side of the square?

2 answers:

Alinara [238K]3 years ago

6 0

Answer: The lengths of the square side lengths is 9 cm.

Explanation:

storchak [24]3 years ago

3 0

Multiply the 12 by three and get 36. Then divide that by four and get 9

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77julia77 [94]

Answer:

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Step-by-step explanation:

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3 years ago

Graph a linear function which has a rate of change equal to the average rate of change of function f on the interval [-1, 1]. Th

fomenos

<h2>Answer:</h2>

The linear function is given by:

$y=\dfrac{3}{2}x-\dfrac{7}{2}$

<h2>Step-by-step explanation:</h2>

It is given that the rate of change of the linear function is equal to the average rate of change of function f on the interval [-1, 1].

The slope(m) or average rate of change of the linear function will be:

$m=\dfrac{f(1)-f(-1)}{1-(-1)}\\\\\\m=\dfrac{-2-(-5)}{1+1}\\\\\\m=\dfrac{-2+5}{2}\\\\\\m=\dfrac{3}{2}$

and the linear function pass through (1,-2)

We know that the equation of a line with given slope m and passing through point (a,b) is given by:

Here (a,b)=(1,-2)

and $m=\dfrac{3}{2}$

Hence, the equation of linear function is:

$y-(-2)=\dfrac{3}{2}\times (x-1)\\\\\\y+2=\dfrac{3}{2}x-\dfrac{3}{2}\\\\\\y=\dfrac{3}{2}x-\dfrac{3}{2}-2\\\\\\y=\dfrac{3}{2}x-\dfrac{7}{2}$

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3 years ago

The equation x^2 + y^2 + 21 = 40 + 18y. What is the radius of this cookie?

trapecia [35]

Answer:

The radius is 10

Step-by-step explanation:

Given

$x^2 + y^2 + 21 = 40 + 18y.$

Required

The radius

Rewrite as:

$x^2 + y^2 - 18y = 40-21$

Subtract 81 from both sides

$x^2 + y^2 - 18y +81= 40-21+81$

Expand

$x^2 + y^2 - 9y - 9y +81= 40-21+81$

Factorize

$x^2 + y( y- 9) - 9(y -9)= 40-21+81$

Factor out y - 9

$x^2 + (y- 9) (y -9)= 40-21+81$

Express as squares

$x^2 + (y- 9)^2= 100$

$x^2 + (y- 9)= 10^2$

The equation of a circle is:

$(x - a)^2 + (y- b)= r^2$

By comparison:

$r^2=10^2$

$r = 10$

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3 years ago

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avanturin [10]

Answer:

(7x-1)(x-3)

Step-by-step explanation:

7x^2 - 22x + 3

The factors have to add to -22, but multiply to equal 3. But since the "a" value has a number on it, you have to use it too.

(7x +/- [n1]) ( x +/- [n2]) = 7x^2 - 22x + 3

Since the two numbers multiply to a positive value, they have to have the same sign. (7x-1) (x-3) works to produce the expression when it's foiled.

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Answer:

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Step-by-step explanation:yes

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