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2 years ago

The perimeter of a rectangle is 84 cm. If the length is 17 cm, how wide is the rectangle?

Mathematics

1 answer:

maksim [4K]2 years ago

4 0

Answer:

width = 25cm

Step-by-step explanation:

perimeter = 84

length =17

A) 84 = 17(2) + 2w

B) 84 = 34 + 2w

-34 -34

50=2w

/2 /2

25=w

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4vir4ik [10]

Answer:

b. (x-3) / (x+1)

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Step-by-step explanation:

b. (x+2)(x-3) / (x+1)(x+2)

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2 years ago

If k is parallel to l find the value of a and the value of b.

kipiarov [429]

Answer:

a = 30

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Step-by-step explanation:

This requires that you use a proportion.

a / (a + 15) = 40 / 60

The small triangle's sides are in proportion to the large triangles sides.

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a/(a + 15) = 40/20 // 60/20

a/(a + 15) = 2/3

Cross multiply

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3a-2a = 30

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3 years ago

PLEASE HELP ASAP What is the m and b for this graph??

suter [353]

Answer:

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2 years ago

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musickatia [10]

Answer:

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2 years ago

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Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

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2 years ago