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2 years ago

Can someone please help with the last problem

Mathematics

1 answer:

Brut [27]2 years ago

3 0

Answer:

18x +9h

Step-by-step explanation:

Such problems are tedious, but not difficult. The trick is to avoid making mistakes in the algebra.

$\dfrac{f(x+h)-f(x)}{h}=\dfrac{(9(x+h)^2)-(9x^2)}{h}\\\\=\dfrac{9(x^2+2xh+h^2)-9x^2}{h}=\dfrac{18xh+9h^2}{h}=\boxed{18x+9h}$

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Part B

Artyom0805 [142]

Answer: The side length of the square-shaped park is 120 meters.

Here we know that:

Here we Ann has two plots of land, one square and other triangular.

We know that the triangular one has an area of 32,500 m^2

And we also know that the total area is equal to 76,600 m^2

Then the area of the square plot will be equal to the difference between the total area and the area of the triangular plot.

area of the square plot = 76,600 m^2 - 32,500 m^2

Now, also remember that for a square of side length x, the area is given by:

A = x^2

Replacing that in the above equation we get:

x^2 = 76,600 m^2 - 32,500 m^2

Now we want to solve this for x, the side length of the square-shaped park.

First, let's solve the difference in the right side:

x^2 = 44,100 m^2

Now we can apply the square root in both sides to get:

√x^2 = √(44,100 m^2)

x = 210 m

The side length of the square-shaped park is 120 meters.

Step-by-step explanation:

7 0

3 years ago

Solve the following equation= show work! 1 ÷ 4 (2n - 28) = 10

alexandr402 [8]

1/4 times 2(n-14)= 10, 1/2 times (n-14)=10, 1/2n-7=10, n-14=20, n=20+14, n=34

4 0

3 years ago

Any claims that m4+m5=m10+m9, Is Amy correct? Use mathematics language to justify your response.

olasank [31]

Yes, if the lines are parallel the answer is yes. Because angle 10+angle 9 = 180°. And angle 4 + angle 5 also = 180° since both add up to a straight line. The only way that this answer could be no is if The diagram wasn’t drawn to scale.

3 0

3 years ago

A state lottery involves the random selection of six different numbers between 1 and 30. If you select one six number combinatio

vitfil [10]

Option C

The probability that it will be the winning combination is:

$P = \frac{1}{427518000}$

Solution:

The probability is given as:

$Probability = \frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}$

Given that,

A state lottery involves the random selection of six different numbers between 1 and 30

There are 30 numbers from 1 to 30

The probability that the first digit of lottery number is same as picked can be calculated as:

$P(1) = \frac{1}{30}$

Since, already we picked 1 digit, now total outcomes = 30 - 1 = 29

The probability that the second digit of lottery number is same as picked can be calculated as:

$P(2) = \frac{1}{29}$

Similarly, The probability that the all digit of lottery number is same as picked can be calculated as:

$P = P(1) \times P(2) \times P(3) \times P(4) \times P(5) \times P(6)\\\\P = \frac{1}{30} \times \frac{1}{29} \times \frac{1}{28} \times \frac{1}{27} \times \frac{1}{26} \times \frac{1}{25}\\\\P = \frac{1}{427518000}$

Thus Option C is correct

4 0

3 years ago

From a can containing 10 liters of milk, mrs menon used 3.8 litres in the morning and 2.3 litres in the evening how many hectoli

denis23 [38]

Answer:

0.039 hectolitres are left in the can

Step-by-step explanation:

One hectolitre equals 100 liters

The can:

10-3.8-2.3=3.9 liters

In hectolitres:

3.9/100 = 0.039

Hope this helps

5 0

2 years ago