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3 years ago

6

And a three week vacation to Paris Martha's expenses on food gifts and accommodations was $80 less than three times for airfare

if the total expenses for the trip was $2660 how much was your airfare?

1 answer:

Fynjy0 [20]3 years ago

7 0

860 since you take 2660 and then subtract 80 and divide by 3 to get 860

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The graph represents two complex numbers, z1 and z2, as solid line vectors. Which points represent their complex conjugates?

REY [17]

Point <em>A</em> represents the complex conjugate z₁ and point L represents the complex conjugate of z₂ respectively

The complex conjugate of a complex number is a complex number that having equal magnitude in the real and imaginary part as the complex number to which it is a conjugate, but the imaginary part of the complex conjugate has an opposite sign to the original complex number

Therefore, graphically, the complex conjugate is a reflection of the original complex number across the x-axis because the transformation for a reflection of the point (x, y) across the x-axis is given as follows;

Preimage (x, y) reflected across the <em>x</em> axis give the image (x, -y)

Where in a complex number, we have;

x = The real part

y = The imaginary part

The reflection of z₁ across the x-axis gives the point <em>A</em>, while the reflection of z₂ across the x-axis gives the point <em>L</em>

Therefore;

Point <em>A</em> represents the complex conjugate z₁ and point L represents the complex conjugate of z₂

Learn more about complex numbers here;

brainly.com/question/20365080

4 0

3 years ago

Make g the subject of the formula in w = 7 - sqrt g

sukhopar [10]

Answer: g = w² - 14w + 49

$w=7-\sqrt{g}\\\\=> \sqrt{g} =7-w \\\\g=(7-w)^{2}=49-14w+w^{2}$

Step-by-step explanation:

3 0

3 years ago

Write an equation for the orbit of Saturn in the form x^2/a^2 + y^2/b^2 = 1

frozen [14]

Answer:

x²/2166784 +y²/2159989 = 1

Step-by-step explanation:

The relationship between the semi-axes and the eccentricity of an ellipse is ...

e = √(1 -b²/a²)

In order to write the desired equation we need to find 'b' from 'e' and 'a'.

__

<h3>semi-minor axis</h3>

Squaring the equation for eccentricity gives ...

e² = 1 -b²/a²

Solving for b², we have ...

b²/a² = 1 -e²

b² = a²(1 -e²)

<h3>ellipse equation</h3>

Using the given values, we find ...

b² = 1472²(1 -0.056²) = 2166784(0.996864) ≈ 2159989

The desired equation is ...

x²/2166784 +y²/2159989 = 1

7 0

2 years ago

Identify a sequence of transformations that maps triangle ABC onto triangle A"B"C" in the image below.

Murljashka [212]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that triangle A"B"C" is the image of triangle ABC after transformation.

From the given figure it is noticed that the point C lies on positive y-axis and point C" lies on negative x-axis.

It means the figure is rotated either counterclockwise 90° or clockwise 270°. The rotation rule is

$(x,y)\rightarrow (-y,x)$

The corresponding sides of image A"B"C" are smaller than the preimage ABC.

$k=\frac{A"B"}{AB}=\frac{3}{6}=\frac{1}{2}$

Since k<0, therefore the transformation shows the reduction. The dilation rule is

$(x,y)\rightarrow (-\frac{1}{2}y,\frac{1}{2}x)$

$A(-3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(-3))\rightarrow (0,-1.5)$

$B(3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(3))\rightarrow (0,1.5)$

$C(0,5.2)\rightarrow (-\frac{1}{2}(5.2),\frac{1}{2}(0))\rightarrow (-2.6,0)$

Option B is correct.

4 0

3 years ago

Read 2 more answers

Convert the expression to radical form. 8(1/2)x(1/2)y(3/4) A) 8xy3 B) 2xy 2xy2 C) 2x2y3 D) 2 4x2y3

UNO [17]

Your answer should be B : )

I hope this helps!

please mark this as the brainliest

7 0

4 years ago