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3 years ago

Help me with this ASAP

Mathematics

1 answer:

N76 [4]3 years ago

3 0

Add each term and divide it by 2.

5+7 = 12

12/2 = 6

-2 + 6 = 4

4/2 = 2, then add the i back on to get 2i.

The midpoint is 6 + 2i

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For a production of sweeney todd in las vegas, orchestra seats cost $42 and mezzanine seats cost $25. if a group of 14 people sh

Lesechka [4]

Answer: 8 orchestra seats and 6 mezzanine seats.

Step-by-step explanation:

Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.

Set up a system of equations:

$\left \{ {{42o+25m=486} \atop {o+m=14}} \right.$

You can apply the Substittution Method to solve the system of equations:

1. Solve for "o" from the second equation:

$o=14-m$

2. Substitute it into the first equation and solve for "m":

$42(14-m)+25m=486\\\\588-42m+25m=486\\\\-17m=-102\\\\m=\frac{-102}{-17}\\\\m=6$

3. Substitute the value of "m" into $o=14-m$ and evaluate, in order to find the value of "o". This is:

$o=14-6\\\\o=8$

4 0

3 years ago

Find an equation for the line perpendicular to the line 8x - 6y = -2 having the same y-intercept as - 6x + 2y = 4.

MissTica

The answer is
3 x - y + 2 = 0

Hope this helps :)

4 0

2 years ago

Read 2 more answers

What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?

klemol [59]

Answer:

$(x-3)^{2} +(y-2)^{2}=41$

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(8,-2)\\E(-2,6)$

substitute the values

$d=\sqrt{(6+2)^{2}+(-2-8)^{2}}$

$d=\sqrt{(8)^{2}+(-10)^{2}}$

$d=\sqrt{164}\ units$

$d=2\sqrt{41}\ units$

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

$C=(\frac{8-2}{2},\frac{-2+6}{2})$

$C=(3,2)$

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

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

we have

(h,k)=(3,2)

$r=2\sqrt{41}/2=\sqrt{41}\ units$ ---> the radius is half the diameter

substitute

$(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}$

$(x-3)^{2} +(y-2)^{2}=41$

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3 years ago

If the technician charged $327.50, then the technician worked ___<br>hours.

Anika [276]

How much was he paid per hour

8 0

2 years ago

Read 2 more answers

PLEASE HELPP!!

Rasek [7]

Answer:

Given:

Two trail maps:

Trail on the first map = 8 cm

Trail on the second map = 6 cm

Scale on first map = 1 cm : 2 km

A) What is the scale factor from the map to the actual trail?

For the first map, the scale factor is 1 cm: 2km. Therefore the actual trail is 8 centimeters * 2 kilometers = 16 km.

The scale factor of the second map is 16 km / 6 cm = 2.67 km : 1 cm

B) The length of the actual trail is 16 kilometers.

Step-by-step explanation:

3 0

2 years ago