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3 years ago

An equation for the line that passes through the points (6, -6) and (-4, 6) .

Mathematics

1 answer:

vivado [14]3 years ago

8 0

Answer:

y = -6/5x + 6/5

Step-by-step explanation:

equation formula is y = mx + b

m = slope

slope = change in y / change in x = (6 - -6) / (-4 - 6) = 12/-10 = -6/5

So m = -6/5

Now to find b, substitute one of the coordinates. Let's use (6, -6)

y = -6/5x + b

-6 = -6/5(6) + b

-6 = -36/5 + b

6/5 = b

So equation is y = -6/5x + 6/5

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Question 3. Solve each equation given below. 5 x - 4=31

harkovskaia [24]

Answer:

x = 7

Step-by-step explanation:

5x-4 = 31

5x = 31+4

5x = 35

x = 7

3 0

3 years ago

Find x for me please thanks ill give brainilest thaks

Mekhanik [1.2K]

Answer:

105°

Step-by-step explanation:

On the other side it is 75°. The 2 lines are parallel. X is 105° because 180°-75°=105°.

I hope you understood it :)

8 0

3 years ago

Julieta wants to attend a 4-year private university that costs $40,000 per year for tuition. Her parents plan to contribute a qu

Bumek [7]

Answer:

$5,000

Step-by-step explanation:

First, you have to determine the total amount of money she needs to save to cover the cost of the tuition by subtracting the financial aid, the scholarship and the amount her parents plan to contribute from the total cost of the tuition:

40,000-(40,000/4)-(40,000*25%)-5,000

40,000-10,000-10,000-5,000

40,000-25,000= 15,000

She needs to save a total amount of 15,000. Then, you need to divide this amount by 3:

15,000/3= $5,000

Julieta will need to save $5,000 each year over the next 3 years before her first year.

6 0

3 years ago

My goodness this it to much for me.....Im stuck

liubo4ka [24]

Answer:

c) 2 x + 17

Step-by-step explanation:

Explanation:-

Given expression

$5( x+\frac{4}{5} )-\frac{1}{4} (12 x-52)$

= $5( x)+5(\frac{4}{5} )-\frac{1}{4} (12 x)+\frac{1}{4} (52)$

= 5x + 4 - 3x + 13

= 2 x + 17

$5( x+\frac{4}{5} )-\frac{1}{4} (12 x-52) = 2 x +17$

5 0

3 years ago

Suppose matrix product AB is defined. (a) If A is 4 x 7 and B is a column matrix, give the dimensions of B and AB. [4 marks] (b)

Lesechka [4]

Answer:

(a) Order of matrix B is 7 × 1 and order of matrix AB is 4 × 1.

(b) Order of matrix A is 5 × 5.

Step-by-step explanation:

The product of two matrices is possible if and only if column of first matrix is equal to row of second matrix.

If A is an n × m matrix and B is an m × o matrix, their matrix product AB is an n × p matrix,

(a)

It is given that order of matrix A is 4 x 7.

B is a column matrix. It means the number of column in matrix B is 1.

Let the order of matrix B = n × 1

Product of matrices A and B is possible if and only if column of matrix A is equal to row of matrix B.

$n=7$

Order of matrix B is 7 × 1

$A_{4\times 7}B_{7\times 1}=AB_{4\times 1}$

Order of matrix AB is 4 × 1.

(b)

Order of matrix B = 5 × 5

It is given that A is the identity matrix.

Identity matrix is a square matrix having 1s on the main diagonal, and 0s everywhere else.

So, order of matrix A is equal to order of matrix B.

Order of matrix A = 5 × 5

Therefore order of matrix A is 5 × 5.

(c)

Order of matrix A = 4 × 5

Order of matrix AB = 4 × 7

Let Order of matrix B = n × m

$A_{4\times 5}B_{n\times m}=AB_{4\times 7}$

Product of A and B are possible if and only if n=5.

$A_{4\times 5}B_{5\times m}=AB_{4\times 7}$

$AB_{4\times m}=AB_{4\times 7}$

On comparing both sides, we get

$m=7$

Therefore the order of matrix B is 5 × 7.

6 0

3 years ago