Can someone please help for brainlest

Can you break down how to solve the problem ?

Montano1993 [528]

Answer:

A. y = $\frac{-5x}{2}$ - 1

Step-by-step explanation:

Given parameters:

Equation of the line:

5x + 2y = 12

Coordinates = -2, 4

Unknown:

The equation of the line parallel to this line = ?

To solve this problem, first, we need to find the slope of the given line.

Every linear equation have the formula: y = mx + c

m is the slope of the line, c is the y- intercept

5x + 2y = 12

Express this equation as y = mx + c

2y = -5x + 12

y = $\frac{-5}{2}x$ + 6

The slope of this line is $\frac{-5}{2}$

Now, any line that is parallel to another will not cut or cross it at any point. This simply implies they have the same slope.

Slope of the line parallel is $\frac{-5}{2}$

Our new line will also take the form y=mx + c,

Coordinates = -2, 4, x = -2 and y = 4

m is $\frac{-5}{2}$

Now let us solve for C, the y-intercept;

4 = - 2 x $\frac{-5}{2}$ + C

4 = 5 + C

C = -1

The equation of the line is therefore;

y = $\frac{-5x}{2}$ - 1

6 0

3 years ago

Help asap!!!!!!!!!!!!!!!!!!!!!!! 20 points!1

Darya [45]

Answer:

24

Step-by-step explanation:

8 0

3 years ago

Z + 4 = 11 z= ? what does z equal? nevermind I know it

hichkok12 [17]

Answer: z = 7

Step-by-step explanation:

Step 1: Subtract 4 from both sides

z + 4 - 4 = 11 -4

z = 7

5 0

3 years ago

Read 2 more answers

Can someone please help which is the answer

Citrus2011 [14]

B. Angle B= Angle E
As this would only prove the AAA Similarity theorem, but not any Congruence Rule

3 0

3 years ago

Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to

prohojiy [21]

Answer:

$300000= 100000 e^{0.12 t}$

We divide both sides by 100000 and we got:

$3 = e^{0.12 t}$

Now we can apply natural logs on both sides;

$ln(3) = 0.12 t$

And then the value of t would be:

$t = \frac{ln(3)}{0.12}= 9.16 years$

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

$A =P e^{rt}$

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means $A= 300000$ and we want to find the value for t.

$300000= 100000 e^{0.12 t}$

We divide both sides by 100000 and we got:

$3 = e^{0.12 t}$

Now we can apply natural logs on both sides;

$ln(3) = 0.12 t$

And then the value of t would be:

$t = \frac{ln(3)}{0.12}= 9.16 years$

And rounded to the nearest tenth would be 9.2 years.

5 0

3 years ago