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Natasha2012 [34]
3 years ago
8

Factor of x squared+4x-45

Mathematics
1 answer:
SOVA2 [1]3 years ago
7 0
X^2 + 4x -45

-45 = 9 * (-5)
   4 = 9 + (-5)

so
x^2 + 4x - 45 = (x + 9)(x - 5)

answer
(x + 9)(x - 5)

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How many ways can a dance instructor send 4 of her 11 students to a summer dance program?
Sedaia [141]

Answer:

d) 330

Step-by-step explanation:

The number of ways can a dance instructor send 4 of her 11 students to summer dance program is  C(11 , 4)

That is 11_{C_{4} } ways

by using formula n_{C_{r} } = \frac{n!}{(n-r)!r!}

now simplification

11_{C_{4} } = \frac{11!}{(11-4)!4!}

      = \frac{11X10X9X8X7!}{(7!)4X3X2X1}

after cancelling 7! and on simplification

   = \frac{11X10X9X8}{4X3X2X1}

after cancellation we get 330 ways

The number of ways can a dance instructor send 4 of her 11 students to summer dance program is 330

   

8 0
3 years ago
Which number line correctly shows –0.8 + 0.6? A number line going from negative 1.6 to positive 1.6. An arrow goes from negative
Phoenix [80]

Answer:

Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line

Step-by-step explanation:

which number line shows correctly -0.8 + 0.6?

well lets write it in words minus eight tenths plus six tenths\

so minus:

you go 0.8 units to the left from 0,

then plus:

you go 0.6 units right from -0.8, getting to -0.2

since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:

we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2

4 0
3 years ago
Read 2 more answers
Two boats left a base camp at bearing of S60°E and S50°W at speeds of 50km/h and 70km/h respectively. Find the distance between
ivolga24 [154]

Answer:

  • 197.93 km

Step-by-step explanation:

Let the base camp is point A and boats' locations after two hours are points B and C.

By connecting the three points together we get a triangle ABC with sides:

  • AB = 50*2 = 100 km
  • AC = 70*2 = 140 km

The angle between AB and AC is:

  • 60 + 50 = 110 degrees (opposite directions from south)

We are looking for the distance BC, which can be found by using the law of cosines:

  • BC² = AB² + AC² - 2AB*AC*cos ∠BAC
  • BC² = 100² + 140² - 2*100*140*cos 110°
  • BC²  = 39176.56 (rounded)
  • BC = √39176.56 = 197.93 km (rounded)

The distance between the boats is 197.93 km.

7 0
2 years ago
How do you solve for 4y+20=5x
Dima020 [189]

You cant because there are 2 different variables

hope this helps, have a great day

3 0
3 years ago
Read 2 more answers
-77.35 in a fraction
nikitadnepr [17]
-77 and 7/20 is the answer simplified and without it being simplified you get -77 and 35/100
8 0
3 years ago
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