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Wittaler [7]
3 years ago
8

A ball is thrown from an initial height of 1 meter with an initial upward velocity of 25/ms. The ball's height h (in meters) aft

er t seconds is given by the following.h=1+25t-5t^2 Find all values of
t for which the ball's height is
11meters.
Mathematics
1 answer:
Lina20 [59]3 years ago
8 0
Set h =11
11=-5t^2+25t+1
-5t^2+25t-10=0
Now use quadratic formula to solve for t

t=[-b+\-sqrt(b^2-4ac)]/(2a)
t= [-25+\-sqrt((25)^2-4(-5)(-10))]/2(-5)
t= .438sec and 4.562sec
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In the triangle below what ratio is cot G
hoa [83]

Answer:

h/g

Step-by-step explanation:

we know that

The cotangent of angle G is equal to divide the adjacent side angle G to the opposite side angle G

so

cot(G)=h/g

5 0
2 years ago
Factorise 6x²-14x-12​
maksim [4K]

Answer:

2(x - 3)(3x + 2)

Step-by-step explanation:

Given

6x² - 14x - 12 ← factor out 2 from each term

= 2(3x² - 7x - 6) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 6 = - 18 and sum = - 7

The factors are - 9 and + 2

Use these factors to split the x- term

3x² - 9x + 2x - 6 ( factor the first/second and third/fourth terms )

= 3x(x - 3) + 2(x - 3) ← factor out (x - 3) from each term

= (x - 3)(3x + 2)

Thus

3x² - 7x - 6 = (x - 3)(3x + 2) and

6x² - 14x - 12 = 2(x - 3)(3x + 2) ← in factored form

8 0
3 years ago
- x(x + 7 (x - 5)<br> Graph this
Inessa05 [86]

Answer:

=−8x2+35x

Step-by-step explanation:

multiply first

3 0
2 years ago
T(x) = 7x, t(x) = 49
lawyer [7]

Answer:

x = 7

Step-by-step explanation:

7 * x = 49

x = 49

um i dont really know what you meant but i hope this helps in some way!

3 0
2 years ago
Read 2 more answers
Andrew bought a house worth 200,000 dollars the house value appreciates 1% per year which of the following would help you find t
Aleks [24]

Answer: Option 1:

y=200,000(1.01)exponent 20

Step-by-step explanation:

The house value appreciates 1% per year. It means that the rate at which it is appreciating is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the value of the house after t years.

t represents the number of years.

b represents the initial value of the house.

r represents rate of growth.

From the information given,

b = 200,000 dollars

r = 1% = 1/100 = 0.01

t = 20 years

Therefore,

y = 200000(1 + 0.01)^20

y = 200000(1.01)^20

7 0
3 years ago
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