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agasfer [191]
4 years ago
14

Use the geometric model to factor x^2-9

Mathematics
1 answer:
inysia [295]4 years ago
8 0

Answer:

(x - 3)(x + 3)

Step-by-step explanation:

a² - b² = (a - b)(a + b)

x² - 9 = (x - 3)(x + 3)

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How do I solve this, pretty urgent please. ​
Andreas93 [3]

Answer:

  • 1

Step-by-step explanation:

<u>Substitute:</u>

  • x^{0.5} = y

<u>Then the expression becomes:</u>

  • (\dfrac{1+y^3}{1-y+y^2}-y) \dfrac{1-y^2}{1-y}  -y=\\
  • (\dfrac{(1+y)(1-y+y^2)}{1-y+y^2}-y) \dfrac{(1-y)(1+y)}{1-y}  -y=
  • (1+y-y)(1+y)-y=
  • 1(1+y)-y=
  • 1+y-y=
  • 1

The result is 1 regardless the value of x other than 1.

5 0
3 years ago
Write an equation of the line in slope-
SashulF [63]

Answer:

Step-by-step explanation:

y= -5/2x-1

3 0
3 years ago
Read 2 more answers
Twelve of the 20 students in Mr. Skinner’s class brought lunch from home. Fourteen of the 21 students in Ms. Cho’s class brought
babymother [125]

Solution:

Number of students in Mr.Skinner's class who brought lunch from home if there are 20 students in the class=12

Fraction of students who brought lunch from home in Mr. Skinner's class=\frac{12}{20}=\frac{3}{5}

Number of students in Ms. Cho's class who brought lunch from home if there are 21 students in the class=14

Fraction of students who brought lunch from home in Ms. Cho's class=\frac{14}{21}=\frac{2}{3}

As Siloni is using  two 15-section spinners to simulate randomly selecting students from each class and predicting whether they brought lunch from home or will buy lunch in the cafeteria.

Number of Congruent sectors in each Spinner=15

So, if we represent students from Mr. Skinner's class who brought lunch from home in Spinner having 15 congruent Sectors =\frac{9}{15}

So, if we represent students from Mrs. Cho's class who brought lunch from home in Spinner having 15 congruent Sectors =\frac{10}{15}

Mr Skinner class +1 = Mr's Cho's Class

So Ms Cho's class =One more sector of the Skinner-class spinner will represent bringing lunch from home.

Option A which is One more sector of the Skinner-class spinner will represent bringing lunch from home represents Ms Cho's Class.

9 0
3 years ago
Read 2 more answers
Mrs Bean bought a business at the start of 2006
Luden [163]

A = P(1+\frac{r}{n} )^{nt} \\P = 30000\\r = .02\\n = 1 time a year\\t = 2018 - 2006\\\\A = 30000(1 + .02/1)^{1*12} \\A = \$ 38047.25\\----------------\\Solve for 'r'\\95000 = 8000(1 + r/1)^{1*5} \\95000 = 8000(1+r)^{5} \\11.875 = (1 + r)^{5}\\1.64031 = 1+r\\

I see I did something wrong in the 2nd part, just take the first question as the right one.

4 0
3 years ago
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Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.
Gnoma [55]

Triangle RST was transformed by using the rule (x,y) → (-x,-y) and the transformation is described by the transformation of 180° rotation about the origin.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Here we have transformed the triangle using the rotation method.

Rotation is the geometric transformation that revolves each point in a shape a predetermined number of degrees around that point. When the number of degrees is positive, the shape spins counterclockwise; when the number of degrees is negative, it rotates clockwise. The following is a broad description of how rotation about the origin can be transformed.

  • (X,Y) to rotate 90° (-y, x)

  • 180° rotation (x, y) (-x,-y)

  • To rotate (x,y) 270° (y, -x)

Here the points change to R'(-1,-1) , S'(-3,-1) and T'(-1,-6).

A 180° rotation about the origin will be the transformation.

The triangles RST and R'S'T' are first plotted on a graph. The graph is provided for your reference below.

The original triangle RST, which was in quadrant 1, has changed to triangle R'S'T', which is in quadrant 3, as shown in the graph. The rotation around the origin is 180° from quadrant 1 to quadrant 3.

<em>Your question was incomplete. Please check below for full content.</em>

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.

R (1, 1)

S (3, 1)

T (1, 6) R' (–1, –1)

S' (–3, –1)

T' (–1, –6)

Which describes the transformation?

The transformation was a 90° rotation about origin.

The transformation was a 180° rotation about origin.

The transformation was a 270° rotation about origin.

The transformation was a 360° rotation about origin.

Learn more about "transformation of triangles" here-

brainly.com/question/8774174

#SPJ10

5 0
2 years ago
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