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Leviafan [203]
3 years ago
10

Evaluate 3x-5y when x=5 and y=1

Mathematics
2 answers:
kkurt [141]3 years ago
4 0
Plug in the values
3(5) - 5(1)
15 - 5 = 10

Solution: 10
Rus_ich [418]3 years ago
4 0

Answer:

10

Step-by-step explanation:

Place it in.

3(5)-5(1)

15-5

10

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Show that cos2x=cosx
PSYCHO15rus [73]

cos (2x) = cos x

2 cos^2 x -1 = cos x   using the double angle formula

2 cos ^2 x -cos x -1 =0

factor

(2 cos x+1) ( cos x -1) = 0

using the zero product property

2 cos x+1 =0    cos x -1 =0

2 cos x = -1       cos x =1

cos x = -1/2       cos x=1

taking the arccos of each side

arccos cos x = arccos (-1/2)         arccos cos x = arccos 1

x = 120 degrees   x=-120   degrees           x=0

remember you get 2 values ( 2nd and 3rd quadrant)

these are the principal values

now we need to add 360

x = 120+ 360n      x=-120+ 360n      x = 0 + 360n  where n is an integer


3 0
3 years ago
(4 pts) If a rock is thrown vertically upward from the surface of Mars with an initial velocity of 15m/sec
Yuliya22 [10]

Answer:

Step-by-step explanation:

I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.

The position equation is

s(t)=-1.86t^2+15t  That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.

The first derivative of position is velocity:

v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):

0 = -3.72t + 15 and solve for t:\

-15 = -3.72t so

t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:

s(4.03) = -1.86(4.03)² + 15(4.03) so

s(4.03) = 30.2 meters.

Calculus is amazing. Much easier than most methods to solve problems like this.

7 0
2 years ago
What is the distance between the two points (5,-2) and (-3,8)
bearhunter [10]
You need to use the distance formula
d =  \sqrt{ {(x - x)}^{2}  +  {(y - y)}^{2} }

\sqrt{ {(5 + 3)}^{2}  +  {( - 2 - 8)}^{2} }
so the distance between points (5,-2) and (-3,8) is
2 \sqrt{41}
which won't simplify so it stays as is
4 0
3 years ago
Simplify the product using distributive property 5(x+3) show work
GrogVix [38]

Answer:

Step-by-step explanation:

5(x + 3)     Remove the brackets.

5*x + 3*5  Combine

5x + 15

4 0
3 years ago
20 points. What is the measure of angle Z in this figure?
ludmilkaskok [199]
Z° + 43° = 180°-------(linear angles)

z° = 180 - 43°

z   =   137°

Hope this helps.

6 0
3 years ago
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