Subtract and simplify: (y^2-7y-5) - (-3y^2+3y-4)

Answers

Answer 1

Answer: (y^2-7y-5) - (-3y^2+3y-4)
= 4y^2 - 10y - 1

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(2cos2x)/(sin2x) - cotx - tanx = -2tanx

Answers

Remember:

$\boxed{sin(2x)=2.sinx.cosx}\n \n and\n \n \boxed{cos(2x)=cos^2x-sin^2x}$

$(2cos2x)/(sin2x)-cotx-tanx=\n \n (2(cos^2x-sin^2x))/(2sinx.cosx)-(cosx)/(sinx)-(sinx)/(cosx)=\n \n (cos^2x-sin^2x)/(sinx.cosx)-(cosx)/(sinx)-(sinx)/(cosx)=\n \n (cos^2x-sin^2x-cos^2x-sin^2x)/(sinx.cosx)=\n \n (-2sin^2x)/(sinx.cosx)=\n \n (-2sinx)/(cosx)=-2.tanx$

What is a fraction for 2.43?

Answers

2.43
= 2+ 0.43
= 2+ 43/100
= 200/100+ 43/100
= 243/100

The final answer is 243/100~

.43 = 43/100
So it is 2 43/100
If you want an improper fraction, it is 243/100

What is the exact value of cos 22.5°?

Answers

$cos( (x)/(2) )= \pm \sqrt{ (1+cosx)/(2) } \n\n cos( (45)/(2) )= \pm \sqrt{ (1+cos(45))/(2) } \n\n cos( 22.5)= \pm \sqrt{ (1+ ( √(2) )/(2) )/(2) } \n\n cos( 22.5)= \pm \sqrt{ ( (2+ √(2) )/(2) )/(2) } \n\n cos( 22.5)= \pm \sqrt{ {( 2+√(2) )/(2)* (1)/(2) }} \n\n cos( 22.5)= \pm \sqrt{ {( 2+√(2) )/(4)}} \n\n cos(22.5)= \pm \frac{ \sqrt{2+ √(2) } }{2}$

A particular frozen yogurt has 75 calories in 2 ounces.How much calories are in 8 ounces of the yogurt?

Answers

75/2=x/8

x=(75*8)/2

x=600/2

x=300

300 lb

Find the slope of the line that passes through point (2,8) and point (9,7).

Answers

Answer:

m = -1/7

Step-by-step explanation:

7 - 8 = -1

9 - 2 = 7

m = -1/7

A cylinder has a base diameter of 10cm and a height of 14cm. What is its volume in cubic cm, to the nearest tenths place?

Answers

Volume of any cylinder = π times (radius)² times (height or length)

Radius of your cylinder = 1/2 of the diameter =5 cm

Volume = π (5 cm)² (14 cm) = 350 π cm³ = 1,099.56 cm³ (rounded)

$diameter : \ d = 10cm \nheight : \ h=14 \ cm \n \nr=(d)/(2)=(10)/(2)=5 cm \n \nvolume \ of \ a \ cylinder \ is \ equal \n \nV= \pi r^2h \n \nV= \pi\cdot 5^2 \cdot 14 =3.14\cdot 25 \cdot 14 = 1099.0 \ cm^3 \n \n Answer : \ its \ volume \ is \ 1099 \ cubic \ cm$