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iogann1982 [59]
2 years ago
14

(25 POINTS) 10. Find the sum of the arithmetic sequence. 5, 7, 9, 11, ..., 23​

Mathematics
1 answer:
Taya2010 [7]2 years ago
5 0

Answer:

Sum = 140

Step-by-step explanation:

We find all the terms, we know that every consecutive term, we add 2 until we reach 23:

Sum = 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Sum = 140

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What is the three steps in the math equation x+4=7
padilas [110]
X+4=7
-4 -4
x=3
First subtract 4 from 4 and 7
Then keep the equal sign and x=3
5 0
3 years ago
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9. Given 8x+4y = 4, identify the slope and y-intercept.
Elden [556K]

Answer:

A) Slope = -2 and y-int = 1

Step-by-step explanation:

The easiest way to get the slope and y-intercept from an equation is to put it in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

So, let's subtract 8x from both sides, leaving 4y on the left side:

8x + 4y = 4 -> 4y = -8x + 4

Now, let's divide both sides by 4, so that we can have just y on the left side:

y = -2x + 1

-2 is the slope, and 1 is the y-intercept.

3 0
3 years ago
Disregarding wind resistance the distance a body falls from rest varies directly as th squares of the time it falls if a skydive
Firdavs [7]

Answer:

The skydiver will fall 1600 ft in 10 seconds.

Step-by-step explanation:

<u>Distance a body falls from rest varies directly as the squares of the time it falls </u>

Let distance = s    

      time = t

Therefore , s = k \times t^{2}

Given, the body falls 64 ft in 2 seconds.

Substituting in above equation,

64 = k \times (2)^{2}

64 = k \times (4)

 k  = \frac{64}{4}

 k = 16 ft/s^{2}

We have to find how much he will fall in 10 seconds.

s = k \times t^{2}

s = 16 \times 10^{2}

s = 16 \times 100

s = 1600 ft

3 0
3 years ago
162 ⋅ 90 238·56 238 ⋅ 34 =
ollegr [7]

1572455566080 is your answer! Hope I helped! :D

6 0
3 years ago
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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
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