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AysviL [449]
3 years ago
14

A figure is dilated by a scale factor of 12. If the origin is the center of dilaton, what is the image of a vertex located at (3

, 4)?
Mathematics
1 answer:
Shalnov [3]3 years ago
4 0

Answer:

1/2

Step-by-step explanation:

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Drag and drop the expressions into the boxes to correctly complete the proof of the polynomial identity.
Elodia [21]

did you ever get the answer? taking the thing rn help!!

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2 years ago
2x^3-x^2+x-2 factorize​
bekas [8.4K]

Answer:

(x-1)(2x^2+x+2)

Step-by-step explanation:

Factorize:

f(x)=2x^3-x^2+x-2

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

\implies f(1)=2(1)^3-1^2+1-2=0

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

\implies  f(x)=(x-1)(ax^2+bx+c)

Expanding the brackets:

\implies  f(x)=ax^3+bx^2+cx-ax^2-bx-c

\implies  f(x)=ax^3+(b-a)x^2+(c-b)x-c

Comparing coefficients with the original polynomial:

\implies ax^3=2x^3 \implies a=2

\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1

\implies -c=-2 \implies c=2

Therefore:

\implies  f(x)=(x-1)(2x^2+x+2)

Cannot be factored any further.

4 0
2 years ago
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Using d= rt, find r if d= 350 miles and t= 5 hours
lubasha [3.4K]

Answer:

70 miles /hour = r

Step-by-step explanation:

d=rt

Substitute d=350 miles and t = 5 hours

350 miles = r* 5 hours

Divide each side by 5 hours

350 miles = 5 hours = r

70 miles /hour = r

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2 years ago
Two slits are illuminated by a 348 nm light. The angle between the zeroth-order bright band at the center of the screen and the
Andre45 [30]

Answer:0.369 m

Step-by-step explanation:

Given

Distance between slit and screen is D=154 cm

Wavelength \lambda =348 nm

Angle between zeroth order bright fringe and Fourth-order bright fringe is \theta =13.5^{\circ}

let distance between the slits be d

Distance of n th bright fringe From central Fringe is given by

y_n=\frac{nD\lambda }{d}

Also \tan \theta =\frac{y_4}{D}

y_4=\tan (13.5)\cdot 1.54

y_4=0.24\times 1.54

y_4=0.369 m

5 0
3 years ago
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