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Phoenix [80]
2 years ago
15

Find the equation of a line with slope 1/2 through the point (10,12)

Mathematics
1 answer:
mihalych1998 [28]2 years ago
5 0

Answer:

x-2y+14=0

Step-by-step explanation:

Slope \:( m) =\frac{1}{2}

(x_1 \:y_1) =(10, \:12)

Equation of line in point slope form is given as:

y-y_1 =m(x-x_1)

Plugging the values of m and (x_1 \:y_1), we find:

y-12=\frac{1}{2} (x-10)

2y-24=x-10

0=x-10-2y+24

x-2y+14=0

This is the required equation of line.

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Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye
svetlana [45]

Answer:

The required recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

Year \: 1 = 500

Each year thereafter the number of leaves was 40% more than the year before so that means

Year \: 2 = 500(1+0.40) = 500\times 1.4\\

For the third year the number of leaves increase 40% than the year before so that means

Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\

Similarly for fourth year,

Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330

So there will be 10330 leaves in the 10th year.

3 0
2 years ago
Read 2 more answers
How do I find the volume
marysya [2.9K]
Base x height of each of the blocks and then add them together.
8 0
3 years ago
4x - (-6) what’s the answer
OlgaM077 [116]

Answer:

4x + 6

Step-by-step explanation:

If i remember correctly, two minuses make a positive, so -(-6) would turn into +6. I dont think that you can add a number with a variable to a regualar number so the answer is as simplified as it can get. If that one is wrong, try 10x. Hope this helps!

3 0
2 years ago
What’s the correct answer for this question?
xxMikexx [17]

Answer:

12.22

Step-by-step explanation:

To find HI, you have to use tangent. tanx=\frac{opposite}{adjacent}

tan(42°)=\frac{11}{HI} , then you multiply HI to both sides of equation and divide tan(42).

To get <em>HI</em>=\frac{11}{tan(42)}

Which makes HI equal 12.2167

5 0
2 years ago
A recipe requires 5 cups of sugar you can only measures using 3/4 cups how many 3/4 cups are needed for the recipe leave the ans
Firdavs [7]

Answer:

Step-by-step explanation:

5 / (3/4) =

5 * 4/3 =

20/3 <==== I left it as an improper fraction

6 0
2 years ago
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