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frosja888 [35]
3 years ago
5

The length of a rectangle is 2 meters less than 2 times the width. The perimeter is 20 meters. Find the width.

Mathematics
1 answer:
kakasveta [241]3 years ago
4 0
The equation you'd make would be (2x-2)+(2x-2)+x+x=20 because the length is 2 m less than the width (x). To simplify, it'd be 6x-4=20 because you combine like terms. You then move the -4 over to the 20 to make it 6x=24. The final answer is 4 meters.
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Which fraction do you multiply by to simplify 5/ 4 - 3i ?
Rzqust [24]
So I assume
\frac{5}{4-3i}

If so. Let us begin.

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\mathrm{Apply\:complex\:arithmetic\:rule}:\ \left(a+bi\right)\left(a-bi\right)=a^2+b^2
Where\;a=4,\:b=-3 \ \textgreater \  4^2+\left(-3\right)^2 \ \textgreater \  Refine \ \textgreater \  25

\frac{5\left(4+3i\right)}{25} \ \textgreater \  \mathrm{Cancel\:the\:common\:factor:}\:5 \ \textgreater \  \frac{4+3i}{5}

Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number
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Hope this helps!
3 0
3 years ago
Add or subtract each expression.Simplify your final answer show all work.
Elan Coil [88]
1) 2x-1 or x=1/2
2) 5a-16 or a=16/5
8 0
4 years ago
write a polynomial function of least degree with integral coefficients having zeros that include -1 and 1 + 2i
SOVA2 [1]

Answer:

Step-by-step explanation:

hello :

a polynomial function is:

f(x) = a (x+1)(x-1)(x-2i)    .... a ≠ 0

7 0
3 years ago
in triangle PQR the measure of angle R=90, QP=73, RQ=55, and PR=48. what is the value of the sine of angle P to the nearest Hund
alexandr402 [8]

Answer:

P ≈ 48.89°(nearest hundredth)

Step-by-step explanation:

The triangle PQR forms a right angle triangle since angle R is 90°. The triangle has an hypotenuse , adjacent and opposite side.

Using the SOHCAHTOA principle one can find the sine ratio of angle P. Let us designate where each side represent.

opposite side(QR) = 55

adjacent side(PR) = 48

hypotenuse(PQ) = 73

sin P = opposite/hypotenuse

sin P = 55/73

P = sin⁻¹ 55/73

P = sin⁻¹ 0.75342465753

P = 48.8879095605

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