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Bess [88]
3 years ago
9

Six times a number plus 4 is same as the number minus 11

Mathematics
1 answer:
anygoal [31]3 years ago
4 0
6x+4=x-11
x=-3
needs to be 20 characters
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Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *
Luda [366]

Answer:

The answer to your question is   \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1          

Step-by-step explanation:

Data

Foci  (-2, 2)  (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

                  2c = 6

                    c = 6/2

                    c = 3

3.- Determine a

                  2a = 10

                    a = 10/2

                    a = 5

4.- Determine b using the Pythagorean theorem

                   a² = b² + c²

-Solve for b

                   b² = a² - c²

                   b² = 5² - 3²

                   b² = 25 - 9

                   b² = 16

                   b = 4

5.- Find the center (1, 2)  From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

                      \frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1

                       \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1                

3 0
3 years ago
Given A = 1/2(b1 + b2)h, solve for h.
sp2606 [1]

The answer is h = 2A/(b1 + b2).

In order to find this, use all the methods for solving typically used in these types of equations. See the below example.

A = 1/2(b1 + b2)h ---> Multiply both sides by 2.

2A = (b1 + b2)h -----> Divide both sides by (b1 + b2)

2A/(b1 + b2) = h

6 0
3 years ago
Evan earns $12 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week
DENIUS [597]
<span>Part A: M = 12x. (x hours at the rate of $12/per hour) Part B: T = 12 * 30 + 15y. ( 30 hours per week at the rate of $12 per hour plus y hours at the rate of $15 per hour) Part C: Let us first find out the amount earned through regular working hours and overtime hours. Regular hours in a week is 30 at the rate of $12 per hour. It comes to 12*30 = $360 The remaining amount, 510-360 = 150, is earned through overtime. Overtime rate is $15 per hour. So the number of hours worked overtime = 150/15 = 10 Total hours worked during the week = 30 + 10 = 40.</span>
3 0
4 years ago
Can someone help please? I really don't understand this.
zhannawk [14.2K]

Answer:

i don't know

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The cost of a gallon of milk is $.50 more than five times the cost of a gallon of water. If
pychu [463]

Answer:

$0.65

Step-by-step explanation:

3.75-.5=3.25

3.25/5=.65

5 0
3 years ago
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