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san4es73 [151]
3 years ago
5

Write an equation in point slope form for the line through the given point with the given slope.

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0
Y - y1 = m(x - x1)
slope(m) = 3/4
(-4,6)....x1 = -4 and y1 = 6
now just sub...and pay attention to ur signs
y - 6 = 3/4(x - (-4)...not done yet
y - 6 = 3/4(x + 4) <===
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There are eleven people on a softball team and nine different positions. Work through the questions to determine how many ways a
jek_recluse [69]

Answer:

19958400

10

8

1814400

Step-by-step explanation:

* Lets explain how to solve the problem

- Permutation is the act of arranging the members into order

- The number of permutations of n members taken r at a time is

  denoted by nPr

- nPr = n!/(n - r)! , where n! means n(n - 1)(n - 2)(n - 3) ......... × 1

* Lets solve the problem

- There are eleven people on a softball team

∴ n = 11

- There are nine different positions

∴ r = 9

∴ The number of ways can be made = 11P9

∵ 11P9 = 11!/(11 - 9)! = 11!/2! = 19958400

* The number of total arrangements of the player is 19958400

- If Amy does not want to play pitcher

∵ They are 11 players

∴ The number of players can be pitch = 11 - 1 = 10

* If Amy does not want to play pitcher, then there are now 10 people

 available to pitch

- Assuming the pitcher has already be chosen

∴ There are 10 remaining players

∵ The positions are 9

∴ The remaining positions = 9 - 1 = 8

* There are 8 remaining positions

- Lets find how many ways to arrange the remaining positions

∵ n = 10

∵ r = 8

∴ 10P8 = 10!/(10 - 8)! = 10!/2! = 1814400

* The number of ways to arrange the remaining players is 1814400

4 0
2 years ago
Read 2 more answers
Select the correct answer.
damaskus [11]

Answer: C: Euros

Step-by-step explanation: We know it is in euros because Germany has not branched off of the EU (European Union), it still uses euros, the currency of all of the countries in the EU.

8 0
3 years ago
Read 2 more answers
Jane spent 3 hours exploring a mountain with a dirt bike. First, she rode 55 miles uphill. After she reached the peak she rode f
Neko [114]

Answer:

Her speed on the summit was 35 mph.

Step-by-step explanation:

Her speed on the summit was "x" mph while her speed while climbing was "x - 10" mph. The distance she rode uphill was 55 miles and on the summit it was 28 miles. The total time she explored the mountain was 3 hours. Therefore:

time uphill = distance uphill / speed uphill = 55 / (x - 10)

time summit = distance summit / speed summit = 28 / x

total time = time uphill + time summit

3 = [55 / (x - 10)] + 28 / x

3 = [55*x + 28*(x - 10)]/[x*(x - 10)]

3*x*(x - 10) = 55*x + 28*x - 280

3x² - 30*x = 83*x - 280

3x²  - 113*x + 280 = 0

x1 = {-(-113) + sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 35 mph

x2 = {-(-113) - sqrt[(-113)² - 4*(3)*(280)]}/(2*3) = 2.67 mph

Since her speed on the uphill couldn't be negative the speed on the summit can only be 35 mph.

6 0
3 years ago
Susan has a rectangular fence around her swimming pool. The fence she built was 15 ft long, 10 ft wide and 6ft tall. How many sq
Dmitriy789 [7]

Answer:

300 Square feet

Step-by-step explanation:

Susan built a rectangular fence around her swimming pool.

Length=15ft

Width(or Breadth)=10ft

Height=6ft

To solve this, picture a cuboid with the top and bottom open, that is the key to finding the Surface Area of the Fence.

Surface Area of a Cuboid= 2(LW+LH+WH)

However since the top and bottom are open, the Surface Area becomes

Surface Area of the fence= 2(LW+WH)

                                       =2((15X6)+(10X6)

                                       =2(90+60)=2 X 150 =300

Susan uses 300 Square feet to build her fence.

8 0
3 years ago
Evaluate -3- (-4) - (-2) + 1.
Shtirlitz [24]

Answer:

4

Step-by-step explanation:

-3+4+2+1=4

8 0
3 years ago
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