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Ad libitum [116K]
3 years ago
12

PLEASEEEE HELP!! This is my SECOND time asking :((

Mathematics
1 answer:
adoni [48]3 years ago
3 0

Answer:

C

Step-by-step explanation:

formula: <u>Y</u><u>2</u><u> </u><u>-</u><u> </u><u>Y</u><u>1</u>

X2 - X1

-18 = X1

16 = Y1

31 = X2

40 = Y2

<u>4</u><u>0</u><u> </u><u>-</u><u> </u><u>1</u><u>6</u><u>. </u><u> </u><u> </u> = <u>2</u><u>4</u>

31 - (-18) 49

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Two complex numbers are given byz1= 3 +j4 andz2= 2 +j3. Determine in both polar andCartesian forms
Marat540 [252]

Answer:

Cartesian

z₁= 3 +4*j

z₂= 2 +3*j

Polar

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

Step-by-step explanation:

for the complex numbers z the cartesian form of is

z= x + y*j

then

1) z₁= 3 +4*j (cartesian form)

2) z₂= 2 +3*j (cartesian form)

the polar form is

z= r* e^jθ

where

r= √(x²+y²) → r₁ = √(3²+4²) = 5 ,  r₂ = √(2²+3²) = √13

and

θ = tan⁻¹ (y/x)  → θ₁  = tan⁻¹ (4/3)= 0.927 rad , θ₂  = tan⁻¹ (3/2)= 0.982 rad

then

z₁=5 * e^ (0.927*j)

z₁=√13 * e^ (0.982*j)

3 0
3 years ago
A circle has a center of (5,-5) and goes through (6,-2). What is the radius?
Fittoniya [83]
Start with the equation of a circle whose center is at (h,k) and whose radius is r:

(x-h)^2 + (y-k)^2 = r^2

Substituting the given coordinates of the center:

(x-5)^2 + (y-[-5])^2 = r^2, or (x-5)^2 + (y+5)^2 = r^2

Substituding the given coordinates of a point (6,-2) on the circle:

(6-5)^2 + (-2+5)^2 = r^2

Simplifying:

1^2 + 3^2 = r^2, or 1 + 9 = r^2, or 10= r^2.  Then r = sqrt(10).

6 0
3 years ago
Un terreno de 4200 metros cuadrados de superficie se quiere dividir en dos lotes de manera que el lote menor sea tres cuartas pa
lions [1.4K]

Answer:

El lote menor tendrá 1800 m^2

El lote mayor tendrá 2400 m^2

Step-by-step explanation:

Definamos las variables:

M = superficie del lote mayor

m = superficie del lote menor.

Sabemos que el terreno tiene en total 4200 m^2

Entonces:

M + m = 4200 m^2.

Y queremos que el lote menor sea 3/4 del lote mayor, entonces:

m = (3/4)*M

Podemos reemplazar esto en la ecuación de arriba para obtener:

M + ( (3/4)*M) = 4200 m^2.

Y ahora podemos resolver esto para M

M + (3/4)*M = 4200m^2

M*(1 + 3/4) = 4200m^2

M*(4/4 + 3/4) = 4200 m^2

M*(7/4) = 4200m^2

M = (4/7)*(4200m^2) = 2400m^2

Esto significa que la superficie del mayor lote es 2400 m^2

Y la superficie del menor se puede obtener con la ecuación:

m = (3/4)*M

m = (3/4)*2400m^2 = 1800m^2

La superficie del lote menor es 1800m^2

4 0
2 years ago
Find the area of a trapezoid with bases of 15cm and 6 cm and a height of 1/5cm
NNADVOKAT [17]
Area = 0.5 x (a+b) x h

= 0.5 x (15cm + 6cm) x 1/5cm
= 0.1 x 21cm
=2.1cm^2  (2.1 centimeters squared)
8 0
3 years ago
Read 2 more answers
How are the expressions 8-15 and 8-(-15)?how are they different?
zmey [24]

8 - 15 means subtract the positive number 15 from 8.

8 - 15 = 8 + (-15) = -7

8 - (-15) means subtract the negative number -15 from 8.

Subtracting a negative number is the same as adding a positive number.

8 - (-15) = 8 + 15 = 23

8 - 15 = -7, and 8 - (-15) = 23. The expressions mean different operations and have different answers.

6 0
3 years ago
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