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Helen [10]
3 years ago
7

(__)^2=(csc x-1)(csc x+1)

Mathematics
2 answers:
Aleksandr [31]3 years ago
8 0
(csc x-1)(csc x+1)=csc²x-1²=csc²x-1=(1/sin x)² -1=1/sin x² - sin²x/sin²x= 
=(1-sin²x)/sin² x = cos² x/ sin² x = (cos x/sin x)²= (cot x)²
sukhopar [10]3 years ago
5 0

Answer:

cot x

Step-by-step explanation:

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What are the zeros of the graphed function y = (x + 3)(x + 5)?
tensa zangetsu [6.8K]
Y=(x+3)(x+5)
0=(x+3)(x+5)
0=x+3
Subtract three on both sides
-3=x
0=x+5
Subtract five on both sides
-5=x
So, -3 and -5 are the zeros of the graphed function.
Hope I helped!
5 0
2 years ago
Read 2 more answers
What is the value of x
Nesterboy [21]

Answer:

x = 2

Step-by-step explanation:

First simplify the equation.

  1. \frac{7}{9}x -\frac{4}{9} =\frac{1}{4} +\frac{5}{12}
  2. \frac{3}{9}x= \frac{3}{12} +\frac{5}{12}
  3. \frac{3}{9}x=\frac{8}{12}
  4. \frac{1}{3}x=\frac{2}{3}

Now multiply both sides by 3.

x = 2

I hope it helps you. Please choose my answer as the BRAINLIEST.

7 0
2 years ago
Read 2 more answers
Find the missing term in the<br> geometric sequence.<br> 13,[ ? ],208
olga_2 [115]

Answer:

110.5

Step-by-step explanation:

208=13+(3-1)d

208=13+2d

-13. -13

195=2d

÷2. ÷2

97.5=d. (d means difference)

13(first term)+97.5=110.5

5 0
3 years ago
Read 2 more answers
james and his sister save money for a trip to the water park. james has saved half the amount of money as his sister has saved.
valina [46]

Answer:

money saved by james = 30/2 = 15

equation used

money with James  = 3/4 (money with sister)

x/2 + 30 =3/4( x + 30 )

Step-by-step explanation:

Let money saved by sister be x

given

James has saved half the amount of money as his sister has saved.

Money saved by James = x/2

Total money saved by both of them = x + x/2

If they both save 30 more

Then

money with sister = x + 30

money with james = x/2 + 30

given that If they both save 30 more, james will have saved 3/4 as much as her sister

thus,

money with james  = 3/4 (money with sister)

x/2 + 30 =3/4( x + 30 )

=> 4(x+30*2) /2 = 3x+90

=> 2x + 120 = 3x + 90

=> 3x-2x = 120-90

=> x = 30

Thus,

money saved by james = 30/2 = 15

equation used

money with james  = 3/4 (money with sister)

x/2 + 30 =3/4( x + 30 )

4 0
2 years ago
Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When car
Debora [2.8K]

Step-by-step explanation:

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 15 gallons of fuel, the airplane weighs 2187 pounds. When carrying 35 gallons of fuel, it weighs 2303 pounds. How much does the airplane weigh if it is carrying 50 gallons of fuel?

----

You have two points relating fuel and weight.

(15,2187) and (35,2303)

------------

slope = (2303-2187)/(35-15) = 5.8

----

intercept = ?

2187 = 5.8*15 + b

b = 2100

-------

Equation:

f(x) = 5.8x + 2100

---

f(50) = 2390 lbs.

====================

6 0
2 years ago
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