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alexgriva [62]
3 years ago
7

Find the slope of the line passing through the given points (7, 13) and (2, -12).

Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

Answer:

The answer is C.

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-12)-13/2-7

m=-25/-5

m=5

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Arrange the steps in the correct order to express cos3x in terms of cosx cos(2x)cos(x)-sin(2x)(x) [1-sin^2(x)]cos(x)-[2sin(x)cos
noname [10]

cos(3x) = cos(2x+x)

= cos(2x) cos (x) -sin(2x)sin(x)

=(1-2sin^2(x)) cos(x)-(2 sin(x) cos(x)) sin(x)

= cos x -2sin^2(x) cos(x) -2sin^2(x) cos(x)

= cos(x) - 4 sin^2(x) cos(x)

cos(x)(1-4sin^2(x))

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4 0
4 years ago
Variable c is 5 more than variable
shutvik [7]
First, let us restate the given conditions

c is 5 more than variable a ( c = a + 5)
c is also three less than variable a (c = a - 3)

Now, lets look at the answer choices and or given
c = a − 5 
c = a + 3
Here, c is 5 less than "a"...so automatically disqualified

a = c + 5
a = 3c − 3 
Here, we have to get "C" by itself in both top and bottom equation.
So,
Simplified version :
c = a - 5
Here, c is 5 less than "a"...so automatically disqualified


a = c − 5
a = 3c + 3
Here also, we have to get "C" by itself in both top and bottom equation.
So, 
simplified version:
c = a + 5
Here, c is 5 more than "a"...so we continue
c = (a - 3) / 3
Here, c is 3 less than "a" <u>divided by 3</u><u /> . So, this is not correct

c = a + 5
c = a − 3
Here, c is 5 more than "A"
Also, c is 3 less than "a"
Which satisfies the given.

 So, our answer is going to be the last one:
 
 c = a + 5
 c = a - 3
7 0
3 years ago
Read 2 more answers
Lisa has a certain amount of money. She spent 39 dollars and has 3/4th of the original amount left. How much money did she have
harina [27]
If \frac { 3 }{ 4 } is left, that means \frac { 1 }{ 4 } was spent. So \frac { 1 }{ 4 } of the total amount is equal to 39.. Let's say x to the total amount. \frac { 1 }{ 4 } \cdot x=39\\ x=4\cdot 39\\ x=156\\

4 0
3 years ago
Read 2 more answers
A business uses straight-line depreciation to determine the value y of an automobile over a 5-year period. Suppose the original
Elena-2011 [213]

For this problem. it is found that:

a) The automobile has depreciated 75% in 5 years.

b) The value of the automobile was reduced by $10,500 in five years.

c) The linear function is: s(t) = 14,500 - 2,100t.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = ax + b

In which:

  • a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the problem, we have that:

a) The automobile has depreciated 75% in 5 years, as 4000/14500 = 0.25, and 100% - 25% = 75%.

b) The value of the automobile was reduced by $10,500 in five years, as 14500 - 4000 = $10,500.

For the linear function, we have that:

  • The initial value is b = 14500.
  • The slope is of a = -10500/5 = -2100.

Hence the linear function is: s(t) = 14,500 - 2,100t.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

6 0
2 years ago
Can someone please help me ASAP
Vaselesa [24]

Answer:

B.

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
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