I need help with scientific notation (there's a pic)

What is an equation of the line that passes through the point

Answer:

(y+7)=5/6(x+6)

Step-by-step explanation:

For this problem we need to use Point-Slope Form to write an equation.

We already have the point, (-6,-7), so all we need now is the slope, which we know is perpendicular to the line 6x+5y=30.

First, let's find the slope of 6x+5y=30 by converting it into Slope-Intercept Form, which is y=mx+b. m is the slope.

6x+5y=30

5y=-6x+30

y=-6/5x+6

So the slope of this line is -6/5, but we need the slope of the line is perpendicular to this line.

When a line is perpendicular to another, their slopes are negative reciprocals to one another, or opposite reciprocals. For example, a line that is perpendicular to another line that has a slope of 3/4 will have a slope of -4/3. Flip the numerator and denominator to find the reciprocal and add a negative.

x

So the negative reciprocal of -6/5 is 5/6, so that is our slope.

Now we can assemble our equation, here is the Point-Slope Form:

$(y -y_{1}) =m(x-x_{1})$

again, m is our slope.

$y_{1}$ and $x_{1}$ represent the coordinates of the point that this line passes through, (-6, -7).

Let's plug in the y, x, and m values:

(y-(-7))=5/6(x-(-6))

Simplify:

(y+7)=5/6(x+6)

That is our final answer.

5 0

3 years ago

Find f(m+1) if f(x)=x^2 + 3x

____ [38]

Answer:

u may need a calculator

Step-by-step explanation:

3 0

3 years ago

In any function, f(x) = a(x-h)n + k , a negative leading coefficient means the graph is reflected. True or False

Temka [501]

Answer:

True

Step-by-step explanation:

For any function of the form $f(x) = a(x-h) ^ n + k$ the coefficient a produces a reflection of the function whenever $a$ .

We can verify it in the following way.

Take, for example, the function:

$f(x) = 2(x-1) ^ 3$

Now let's make $f(2)$

$f(2) = 2(2-1)^3\\\\f(2) = 2$

Now let's $f(2)$ in the following function:

$f(x) = -2(x-1)^3$

We have:

$f(2) = -2(2-1)^3\\\\f(2) = -2$

We can see then that the function was reflected in the axis -y by placing a negative coefficient a.

You can see more examples in the attached images

Therefore we can conclude that the statement is true.

7 0

4 years ago

-24-8p=4p simplify please.

lukranit [14]

Answer:

p=-2

Step-by-step explanation:

8 0

3 years ago

Beth bought 20 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $4.00. She spent a total of $1

olchik [2.2K]

Answer:

The Total number of adults ticket's is 15

The Total number of Senior citizen ticket's is 5

Step-by-step explanation:

Given as :

The total number of movies tickets were bought = 20

The cost of adults tickets = $ 8.00

The cost of senior citizen tickets = $ 4.00

The total money spent on movie tickets = $ 140

Let The total number of adults tickets = A

And The total number of senior citizen tickets = S

Now, According to question

The total number of movies tickets were bought = 20

I.e The total number of adults tickets + The total number of senior citizen tickets = 20

Or, A + S = 20

And $ 8 A + $ 4 S = $ 140 .........1

I.e 8 × ( A + S ) = 8 × 20

Or, 8 A + 8 S = 160 .......2

Solving the equation 1 and 2

Or, ( 8 A + 8 S ) - ( 8 A + 4 S ) = 160 - 140

Or, ( 8 A - 8 A ) + ( 8 S - 4 S ) = 20

or, 0 + 4 S = 20

∴ S = $\frac{20}{4}$

I.e S = 5

So, The number of Senior citizen ticket's = 5

Put The value of S in eq 1

So, 8 A + 4 × 5 = 140

Or, 8 A = 140 - 20

Or, 8 A = 120

∴ A = $\frac{120}{8}$

I.e A = 15

So, The number of adult's tickets = 15

Hence The Total number of adults ticket's is 15

And The Total number of Senior citizen ticket's is 5 Answer

8 0

3 years ago