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kompoz [17]
2 years ago
10

Find all solutions to the equation. cos^2x + 2 cos x + 1 = 0

Mathematics
1 answer:
garri49 [273]2 years ago
3 0

Answer:

take a picture of the problem

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Please may someone help me with this question thank you
Maru [420]

Answer:

C. \frac{12}{7}

Step-by-step explanation:

To find the slope when you know two points, use this formula:

M = y₂ - y₁ ÷ x₂ - x₁

M = (4 - (-8)) ÷ (0 - (-7))

M = 12 ÷ 7

M = \frac{12}{7}

Hope that helps.

3 0
2 years ago
Find the solution to the equation below.<br> 2x^2+3x-20=0
mariarad [96]

Answer:

  x = -4, 5/2

Step-by-step explanation:

A quadratic can be solved may ways, including graphing, factoring, and the quadratic formula. You can also check possible answers by making use of the relationships between solutions and the coefficients.

__

A graph is attached. It shows the solutions to be -4 and 5/2.

__

When factored, the equation becomes ...

  (2x -5)(x +4) = 0 . . . . . has solutions x=-4, x=5/2 (these make the factors zero)

__

Using the quadratic formula, the solutions of ax^2 +bx +c = 0 are found from ...

  x = (-b±√(b²-4ac))/(2a)

  x = (-3±√(3²-4(2)(-20))/(2(2)) = (-3±√169)/4 = {-16, +10}/4

  x = {-4, 5/2}

__

For ax^2 +bx +c = 0, the solutions must satisfy ...

  product of solutions is c/a = -20/2 = -10

Only the first and last choices have this product.

  sum of solutions is -b/a = -3/2

Only the first choice (-4, 5/2) has this sum.

8 0
3 years ago
A jump rope is 9 ft long . how long is the jump rope in yards
pav-90 [236]
The rope would be 3 yards long because every 3 feet is equal to 1 yard
7 0
3 years ago
Read 2 more answers
I need help with number 8 please. if you don't mind can you show your work so I know how to do it? Thanks in advance! :)
Trava [24]
You have to divide both sides by 5 because it states"5t" and you should get "t=20"
7 0
3 years ago
Is y=7.5x a proportional relationship and why
DerKrebs [107]
Direct Proportion functions look like this:

y=kx

'k' is the constant of proportionality and in this case its 7.5 or 15/2.

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

When x=1, y=7.5
When x=2, y=15
When x=3, y=22.5

Therefore y is directly proportional to x.

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

DIRECT PROPORTION EXPLAINED:

Say a football costs £7.50. If you buy one football you'll have to pay out £7.50, but if you you buy two footballs you'll have to pay out £15.00. Therefore the cost of the football(s) is directly proportional to the amount of footballs you buy. C=cost, f=football(s) and C<span>∝f, therefore C=kf, but as k=7.5, C=7.5f.

INVERSE PROPORTION EXPLAINED:

If it were to take 8 hours for one bricklayer to set up a wall, how long would it take for two bricklayers to set up a wall? The answer in this case would be 4 hours.

T=time to set up a wall
b=bricklayer(s)

Therefore T</span><span>∝1/b, and T=k/b. In this case k=8 so T=8/b.

When b=1, T=8.
When b=2, T=4.

We'd say that the time it would take for bricklayers to set up a wall would be inversely proportional to the amount of bricklayers available.</span>
4 0
3 years ago
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