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Andreyy89
3 years ago
15

In the standard (x,y) coordinate plane, what is the slope of the line that passes through the points (-1, 5) and (2, -3)?

Mathematics
1 answer:
otez555 [7]3 years ago
4 0

Answer:

b

Step-by-step explanation:

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the relationship between altitude and the boiling point is linear.AT an altitude of  8300ft 8300 ft , the liquid 
mojhsa [17]

Complete Question

The  relationship  between  altitude  and  the  boiling  point  is  linear. At  an  altitude  of   8300ft, the  liquid  boils  at   194.23 °  F

At  an  altitude  of   4200 ft ,  the  liquid  boils  at   202.02° F.

Write  an  equation  giving  the  boiling  point   b  of  the  liquid,  in  terms  of  altitude  a  in   feet . feet . What  is  the  boiling  point  of  the  liquid  at   2600ft

Answer:

The equation is  y  =  -0.001943x + 210.3569

At  2600ft  the temperature is  y  =  205.3051 \  °F

Step-by-step explanation:

From the question we are told that

    The temperature at 8300ft is 194.23 °  F

    The  temperature at 4200 ft is 202.02° F

Generally the slope for this relationship is mathematically represented as

      m  =  \frac{ 202.2 - 194.23}{ 4200 - 8300}

=>     m  = 0.001943  ^o  F / ft  

Generally the according to the point slope formula is

      y - y_1  =  m(x -x_1 )

=>   y - 194.23 =  -0.001943 (x - 8300 )

=>  y - 194.23 =  -0.001943x + 16.1269

=>  y  =  -0.001943x + 210.3569

Now we are given from the question that   x =  2600 ft

Then  

         y  =  -0.001943(2600) + 210.3569

=>      y  =  205.3051 \  °F

   

5 0
3 years ago
Unit Rates-which is the better buy? 13 points!
Yuri [45]
16 - option a : 0.83
option b: 0.8

5 bars of soap for $4

17 - the 50 penguins for 795 usd is obviously the better choice

If you need to be more specific just ask me
6 0
4 years ago
Write an equation that you can use to solve for x. Enter your answer in the box. ​
N76 [4]
The answer is X=27 degrees

Steps-
90-63=27
5 0
3 years ago
Read 2 more answers
What is the answer please
Sunny_sXe [5.5K]

Answer:

12.9 cm ( nearest tenth )

Step-by-step explanation:

sin 40° = \frac{b}{20} ( multiply both sides by 20 )

20 × sin 40° = b, hence

b = AC = 20 × sin 40° = 12.9


6 0
4 years ago
For this exercise assume that all matrices are ntimesn. Each part of this exercise is an implication of the form​ "If "statement
inna [77]

Answer:

C. True; by the Invertible Matrix Theorem if the equation Ax=0 has only the trivial solution, then the matrix is invertible. Thus, A must also be row equivalent to the n x n identity matrix.

Step-by-step explanation:

The Invertible matrix Theorem is a Theorem which gives a list of equivalent conditions for an n X n matrix to have an inverse. For the sake of this question, we would look at only the conditions needed to answer the question.

  • There is an n×n matrix C such that CA=I_n.
  • There is an n×n matrix D such that AD=I_n.
  • The equation Ax=0 has only the trivial solution x=0.
  • A is row-equivalent to the n×n identity matrix I_n.
  • For each column vector b in R^n, the equation Ax=b has a unique solution.
  • The columns of A span R^n.

Therefore the statement:

If there is an n X n matrix D such that AD=​I, then there is also an n X n matrix C such that CA = I is true by the conditions for invertibility of matrix:

  • The equation Ax=0 has only the trivial solution x=0.
  • A is row-equivalent to the n×n identity matrix I_n.

The correct option is C.

5 0
4 years ago
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