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kupik [55]
3 years ago
12

5. Which point lies on the line: y - 4 = -3(x + 2)?

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
7 0

Answer:

(- 2, 4 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = - 3(x + 2) ← is in point- slope form

with (a, b ) = (- 2, 4 )

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I tried to figure it out but i can't. i need to show the work and i don't know how to do it.​
Andreas93 [3]

Integration Formula:

\int\limits {x}^{n} \, dx =\frac{x^{n+1}}{n+1} + C

Integrate each term:

\int\ {x^{2}} \, dx = \frac{x^{3}}{3}

\int\ {x} \, dx =\frac{x^2}{2}

\int\ {5} \, dx = 5x

\int\ {x} \, dx =\frac{x^2}{2}

\int\ {2} \, dx = 2x

Altogether this becomes:

\frac{\frac{x^3}{3} - \frac{x^2}{2}-5x }{ \frac{x^2}{2}+2x}

Your limits are 1 and 2. Substitute both numbers into the equation and minus them from each other.

x = 2:

\frac{\frac{2^3}{3} - \frac{2^2}{2}-5(2) }{ \frac{2^2}{2}+2(2)}

-

x = 1:

[tex]\frac{\frac{1}{3} - \frac{1}{2}-5 }{ \frac{1}{2}+2}[/tex]

x = 2:

\frac{\frac{8}{3} - \frac{4}{2}-10 }{ \frac{4}{2}+4}

-

x = 1: \frac{\frac{8}{3} - 2-10 }{ 2+4}

=

-1.212317928

Now convert all the answers to integers and see which one matches -1.212317928:

Because it's a negative number, we know it can only be A or B.

(A) = -1.212317928

(B) = -1.19047619

The answer is A: -\frac{3}{2} +In\frac{4}{3}

<h2>(A) - 3/2 = ln 4/3</h2>

7 0
3 years ago
For a two week period, John and Amanda had the following transactions occur to their checking account: a deposit of $1,644.50; c
Andru [333]

deposit of $1644.50 is (gain)

check written and deposit are (loses)  subtracted


so total of 3 checks :-   190$   +  45$  +  7.50$   =   242.50$

total of 4 debit cards :-    30$  +  5.59$  +  7.20$  + 21.30$  = 64.09$

total lose amount ( credits + debits )  =   242.50 $  +  64.09$ =  306.59$


Ending balance = Total amount - total loses =  

         1644.50$ -  306.59 $ =  1337.91$

4 0
3 years ago
1/2 cm x 3/2cm x 7/4cm... Find the volume
forsale [732]
Remember, to the find the volume, you have to do length*width*height.

So it would be 7/4 * 3/2 * 1/2

To answer this, multiply all the numerators together, and multiply all the denominator together.

This would be:

21/16



So the answer is 21/16 cm^3 or 1.3125 cm^3.


Hope this helps. If you have any questions, place it in the comment section below.


6 0
3 years ago
Evaluate 8x-y2-3 when x = -1/4 and y=3<br>plz help
UkoKoshka [18]

Answer:

-14

Step-by-step explanation:

8x-y²-3

8(-1/4) - (3)² - 3

-2 - (9) - 3

= -14

6 0
2 years ago
Plzzzzz help ill mark you plzzzzzzz
marta [7]

Answer:

Step-by-step explanation:

a. 5 3/6  - 1 2/6 = 4 1/6

b. 8 9/12 - 5 10/12

    7 21/12 - 5 10/12= 2 11/12

7 0
3 years ago
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