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kati45 [8]
3 years ago
14

What’s the perimeter of a rectangle with length x and width x-5

Mathematics
1 answer:
MrMuchimi3 years ago
7 0

Answer:

P = 2(x + x - 5) = 2x - 10

Step-by-step explanation:

Formula for the perimeter of a rectangle: P = 3(l + L)

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Jimmy threw a baseball in the air from the roof of his house. The path followed by the baseball can be modeled by the function f
erastovalidia [21]

Answer:

Step-by-step explanation:

The first part of A is easy. Look at the quadratic function, and the constant, the very last number with no t stuck to it represents the height from which the object in question was originally launched. Our constant is 40, so the height of the roof from which the baseball was thrown is 40 feet. Part 2 of A is not quite as simple because it requires factoring using the quadratic formula.Before we do that, let's make our numbers a bit more manageable, shall we? Let's factor out a -8 to get

f(t) = -(t^2-6t-5) and a = 1, b = -6, c = -5.

Filling in the quadratic formula now looks like this:

t=\frac{6+-\sqrt{6^2-4(1)(-5)} }{2(1)} and

t=\frac{6+-\sqrt{36+40} }{2} and

t=\frac{6+-\sqrt{56} }{2} so the 2 solutions are

t=\frac{6+\sqrt{56} }{2}=6.74sec and

t=\frac{6-\sqrt{56} }{2}=-.742sec and since we know time can NEVER be negative, the time it takes for the baseball to hit the ground from a height of 40 feet is 6.74 seconds. Onto part B.

In order to determine exactly how high the baseball did go, we have to find the vertex of the function. We do this by completing the square and getting the function into vertex, or work, form. Begin by setting the quadratic equal to 0, moving over the constant, and then factoring out the leading coefficient. The rule for completing the square are kinda picky in that you have to have a 1 as the leading coefficient, and righ now ours is a -8. So following the rules I stated above:

-8(t^2-6t)=-40 Next is the take half the linear term, square it, and then add it to both sides. Our linear term is a -6. Half of -6 is -3, and -3 squared is 9, so we add 9 into the parenthesis first:

-8(t^2-6t+9)=-40+??

Because this is an equation, we can't add 9 to one side without adding the equivalent to the other side. But, we cannot forget about that -8 sitting out front there, refusing to be ignored. We didn't just add in a 9, we actually added in a -8 times 9 which is -72. That's what goes on the right side in place of the ??.

-8(t^2-6t+9)=-40-72

The reason we complete the square is found on the left side of the equals sign. We have, in the process of completing the square, formed a perfect square binomial that will serve as the h in our vertex (h, k) where h is the number of seconds it takes for the baseball to reach its max height of k, whatever k is. That's what we have to find out. Putting the left side into its simplified perfect square binomial and adding the numbers on the right gives us:

-8(t-3)^2=-112

For the last step, add over the -112 and set it back equal to f(t):

-8(t-3)^2+112=f(t) From that we determine that the vertex is (3, 112). The max height of this baseball was 112 feet...so no, it did not make it up to the height of 120 feet that Jimmy wanted for the baseball.

6 0
2 years ago
What is greater 16/25 or 65%
slega [8]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

65% has the greater value.  

»»————- ★ ————-««  

Here’s why:  

  • We can convert both numbers into decimals and then compare the values.

⸻⸻⸻⸻

\boxed{\text{Comparing Numbers:}}\\\\-------------\\\rightarrow\frac{16}{25}= 0.64\\\\\rightarrow 65\%=\frac{65}{100}=0.65\\ -------------\\\\\boxed{0.65 > 0.64}\\\\\text{Therefore:}\\\\\boxed{65\% > \frac{16}{25}}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

6 0
2 years ago
In 1985, the price of a gallon of milk cost about $2.20 per gallon. In 2005, the price of a gallon of milk cost about $3.50 per
Assoli18 [71]

the percent increase in the price of a gallon of milk from 1985 to 2005 is 59%

Define percent increase

Percent increase can be described as the rise in the value of an item, in this case the value is milk.

Write out the parameters

In 1985 the price of a gallon of milk is $2.20

In 2005 the price is $3.50

Formula for percent increase

new price-old price/new price × 100

Calculate the percent increase

new price= $3.50

old price= $2.20

= 3.50-2.20/2.20

= 1.3/2.20

= 0.59 × 100

= 59%

Hence the percent increase from 1985 t0 2005 is 59%

Please see the link below for more information

brainly.com/question/878172

6 0
2 years ago
3 rows of carrots, 2 rows of string beans, 1 row of peas. There are 8 in each row. How many plants are there in the garden?
mr_godi [17]
There are 48 individual plants in the garden.
3 0
2 years ago
Read 2 more answers
Help me to solve this questions please.
Yuki888 [10]
I think it is 76 ....... I may be wrong
8 0
3 years ago
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