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Ksju [112]
3 years ago
7

Ms. Sheppard cuts 12 of a piece of construction paper. She uses 16 of the piece to make a flower. What fraction of the sheet of

paper does she use to make the flower? Also how did you get ur answer. Show your work
Mathematics
1 answer:
dimaraw [331]3 years ago
4 0

Answer:

12/16 or 3/4

Step-by-step explanation:

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Factor completely x^2-12x+36
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{(x - 6)}^{2}

Step-by-step explanation:

= {x}^{2} - 12x + 36 \\  = {x}^{2} - (6 + 6)x + 36 \\  =  {x }^{2} - 6x - 6x + 36 \\  = x(x  -  6) - 6(x  - 6) \\  =(x - 6)(x - 6) \\  =  {(x - 6)}^{2}

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What would be the coordinates of triangle A'B'C' if triangle ABC was dilated by a factor of
notsponge [240]

Answer:

A(0,0)\rightarrow A'(0,0) \\ B(2,0)\rightarrow B'(\frac{2}{3},0) \\ C(0,2)\rightarrow C'(0,\frac{2}{3})

Step-by-step explanation:

The question is as following:

The verticies of a triangle on the coordinate plane are

A(0, 0), B(2, 0) and C(0, 2).

What would be the coordinates of triangle A'B'C' if triangle ABC was dilated by a factor of 1/3 ?

=============================================

Given: the vertices of a triangle ABC are A(0, 0), B(2, 0) and C(0, 2).

IF the triangle is dilated by a factor of k about the origin, then

(x,y) → (kx , ky)

that triangle ABC was dilated by a factor of 1/3 to create the triangle A'B'C'.

It is given that triangle ABC was dilated by a factor of 1/3 to create the triangle A'B'C'.

If a figure dilated by a factor of 1/3 about the origin

So, (x,y)\rightarrow (\frac{1}{3}x,\frac{1}{3}y)

<u>So, The coordinates of the triangle A'B'C' are:</u>

A(0,0)\rightarrow A'(0,0) \\ B(2,0)\rightarrow B'(\frac{2}{3},0) \\ C(0,2)\rightarrow C'(0,\frac{2}{3})

6 0
3 years ago
−3x + 2 ≥−1 in a number line
Ksivusya [100]

Answer:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

Step-by-step explanation:

4 0
3 years ago
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