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snow_lady [41]
3 years ago
9

Plot the line for the equation on the graph. y−4=−1/4(x−5)

Mathematics
1 answer:
icang [17]3 years ago
6 0
You just need two points to graph a line.

When x = 1 

y - 4 = -1/4(1 - 5)
y - 4 = -1/4(-4)
y - 4 = 4/4
y - 4 = 1
y = 5

So, we have our first point, (1,5)

When x = 2

y - 4 = -1/4(2 - 5)
y - 4 = -1/4(-3)
y - 4 = 3/4
y = 4 3/4

Now we have the point (2, 4 3/4)

Now just run a line through the two points and you're done!

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Michael breeds chickens and ducks.
Paladinen [302]
4 and a half ducks.
That's pretty much the answer.
8 0
3 years ago
Read 2 more answers
Use induction to prove that 2? ?? for any integer n>0 . Indicate type of induction used.
Hoochie [10]

Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

    2^{n}>n

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

      2^{k}>k

                   ---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement  is true for, n=k+1.

     \rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1

Hence it is true for, n=k+1.

So,we have proved the statement with the help of mathematical Induction, which is

      2^{k}>k

                 

   

3 0
3 years ago
Your supposed to find the angle of the triangle but I know the answer 145 but I want to know how you get the answer
Inga [223]
A straight line adds up to 180
So the line opposite of 137 should add up to 180
This gives us the equation 137+x=180 then x=43

The triangle also adds up to 180 degrees
So 102+43+x=180
The equation can be simplified to 145+x=180 therefore x=35


So x+?=180  because it is a straight line.
We can substitute x in making the equation 35+?=180
Now we want to solve for the ? so we'll subtract 35 from each side 
This leaves us with the equation ?=145

So we now know that the ?=145

4 0
3 years ago
When solving p^2 + 5 = 8p - 7. Kate wrote p^2 + 12 = 8p. The property she used was:
spayn [35]

Answer:

4)

Step-by-step explanation:

Because they just added the same equality. And when you move the -7 over the equal sign it makes it positive so it would be p^2 + 5 + 7 = 8p and that makes it p^2 + 12 = 8p

6 0
3 years ago
Reflect A across the x-axis. Label the reflection as N, and give its coordinates.
Kipish [7]

Answer:

N (-4,3)

Once A is reflected over the horizontal line, it is (-4,3)

4 0
3 years ago
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