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3 years ago

Write an equation of the line that passes through the given points. (-1,7) and (4, -8)

Mathematics

1 answer:

djverab [1.8K]3 years ago

3 0

Answer:

y=-3x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-8-7)/(4-(-1))

m=-15/(4+1)

m=-15/5

m=-3

y-y1=m(x-x1)

y-7=-3(x-(-1))

y-7=-3(x+1)

y=-3x-3+7

y=-3x+4

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PLEASE HELP ME ASAP!!!!

elixir [45]

To rotate the figure 180 degrees, you would make it so all the points are:

(x,y) to (-x,-y)

Basically, you would switch every sign on the point.

(1,-1) -> (-1,1)

(3,-2) -> (-3,2)

(3,-4) -> (-3,4)

Those new points would be P'Q'R'.

Then when you reflect over the x-axis, you would flip every y sign.

(-1,1) -> (-1,-1)

(-3,2) -> (-3,-2)

(3,-4) -> (3,4)

You would chart those points as P"Q" R".

I hope this helps! (review my answers)

Sorry this took so long!

6 0

4 years ago

Help with this question please!

andrey2020 [161]

Answer:

Step-by-step explanation:

6cos^2(x) + 7cos(x) +2 = 0

Call cos(x) = y to change this to something a little bit more familiar.

6y^2 + 7y + 2 =0

This equation is a quadratic. Solve it first. Then we'll go back to solving for cos(x)

This equation factors into 2 possible answers

(3y + 2)(2y + 1) = 0

3y + 2 = 0

3y = - 2

y = - 2/3

2y + 1 = 0

2y = - 1

y = - 1/2

Now let's start with

cos(x) = - 1/2

That means that x is in quadrant two or three.

cos-1(1/2) = 60 degrees.

Quad 2: x = 180 - 60 = 120

Quad 3: x = 180 + 60 = 240

Now cos(x) = - 2/3

cos-1(2/3) = 48.19

Quad 2: x = 180 - 48.19 = 131.81

Quad 3: x = 180 + 48.19 = 228.19

5 0

3 years ago

The bank balance was $1,234,567 on January 31. In February, we received $825k on paid invoices, and had $198k in cost of sales,

kvasek [131]

Answer:

April Beginning Balance $ 1,633,427

Step-by-step explanation:

The closing balance of January is the opening balance of February

February,

Opening Balance $1,234,567

Add Payment received on invoices $825k

Less Cost of sales $198k,

Less Overheads $356k ,

Less Other Expenses $92k .

February Ending Balance $ 1,413, 567

March

Beginning Balance $ 1,413, 567

Add Payment received on invoices $825k *1.12= 924 k

Less Cost of sales $198k *1.09= 215.82k

Less Overheads $356k *1.09= 388.04k

Less Other Expenses $92k *1.09= 100.28k

March Ending Balance = $ 1,633,427

April Beginning Balance $ 1,633,427

Treating the Costs of Sales, Overheads and the other expenses as the expenses paid out of the Bank Balance meaning no accounts payable or other cash paid.

3 0

3 years ago

Use the calculator to find the product. (9. 1 × 109)(7. 5 × 102) What is the exponent of the power in scientific notation?.

____ [38]

The exponent of the power is 11 in scientific notation.

<h3>Given </h3>

The numbers are;

The product of (9. 1 × 10^9)(7. 5 × 10^2)

<h3>What is scientific notation?</h3>

Scientific notation is a method of expressing numbers in terms of a decimal number between 1 and 10, but not 10 itself multiplied by a power of 10.

To find the product of the given numbers follows all the steps given below.

The product of number is;

$=(9.1 \times 10^9) \times (7.5 \times 10^2)\\\\= (9.1 \times 7.5) \times (10^{(9+2)})\\\\ =68.25 \times 10^{11}$

Hence, the exponent of the power is 11 in scientific notation.

To know more about Scientific notation click the link given below.

brainly.com/question/4964086

4 0

3 years ago

Square WXYZ dilates by a factor of 1/3 with respect to the origin to create W'X'Y'Z'. If W'X' is 6 units, what is WX? *

zvonat [6]

Answer:

well you should firstcalculate the distance then divide by the primary source and you should be able to get the answer after substituting

Step-by-step explanation:

6 0

3 years ago