Carla is solving a math problem. Which answer shows the equation and solution

Write the equation of the line that passes through (-6,0) and is parallel to the line y=5x-43

AVprozaik [17]

The equation of the line that passes through (-6,0) and is parallel to the line y = 5x - 43 in slope intercept is y = 5x + 30

Solution:

Given that line that passes through (-6, 0) and is parallel to the line y = 5x - 43

We have to find the equation of line

Let us first find slope of line having equation y = 5x - 43

The slope intercept form of line is given as:

y = mx + c ------- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

On comparing equation of line y = 5x - 43 with slope intercept form y = mx + c,

we get m = 5

Thus slope of given line is 5

We know that slopes of parallel lines are equal

Thus the slope of line parallel to given line is also 5

Now let us find equation of line having slope "5" and passes through (-6, 0)

Substitute m = 5 and (x, y) = (-6, 0) in eqn 1

y = mx + c

0 = 5(-6) + c

Thus the required equation is:

Substitute c = 30 and m = 5 in eqn 1

y = 5x + 30

Thus the required equation of line is found

8 0

3 years ago

What is the solution to the equation [[square root] 2x + 8] - 6 = 4 ? Show your work.

stich3 [128]

Answer:

46

Step-by-step explanation:

√(2x + 8) − 6 = 4

Add 6 to both sides:

√(2x + 8) = 10

Square both sides:

2x + 8 = 100

Subtract 8 from both sides:

2x = 92

Divide both sides by 2:

x = 46

7 0

4 years ago

Draw the graph of y= 2x+3 on the grid

OleMash [197]

Answer:

y are 0 and 3. x are -3/2 and 0 .

5 0

3 years ago

Which expressions can be used to find the coordinates of the midpoint of PQ with endpoints P(3, –1) and Q(–7, –6)?

Tanzania [10]

Step-by-step explanation:

it is the ans of midpoint PQ

3 0

4 years ago

Tomika opened a bank account. She deposited $75 each

arsen [322]

$\bigstar\boxed{\large\sf\purple{\leadsto D ) \$720}}$

__________________________________________

$\large\sf{\underline{Given:}}$

➠ Tomika deposited $75 each month for 10 months in her bank
➠ Her bank charged her $3 each month to use tha account

$\large\sf{\underline{To\:find:}}$

➜ How much money is in Tomika's account after 10 months?

_______________________________________

$\large\sf{\underline{Therefore:}}$

❒ Total amount of money deposited in 10 months :

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\sf{\longrightarrow 75\times 10}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\sf{\longrightarrow \$750}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

❒ Total amount of mony charged by the bank in 10 months :

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\sf{\longrightarrow 3\times 10}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\sf{\longrightarrow \$30}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

❒ Total amount of money left in Tomika's account after 10 months :

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\sf{\longrightarrow 750-30}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\sf{\longrightarrow \$720}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

8 0

3 years ago