Line k has an equation of y= 10/3x+9. Line l includes the point ( – 3, – 2) and is parallel to line k. What is the equation of line l?

9514 1404 393

Answer:

  C.  1/(4a)

Step-by-step explanation:

We assume you're comparing the vertex form ...

  y = a(x -h)^2 +k

to the form used to write the equation in terms of the focal distance p.

  y = 1/(4p)(x -h)^2 +k

That comparison tells you ...

  a = 1/(4p)

  p = 1/(4a) . . . . . . multiply by p/a; matches choice C

__

Additional comment

When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).

When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:

  [tex]p=\dfrac{1}{4a}[/tex]

Answer:

The answer to the first question is: 9 4/21

The answer to the second question is: B.) 24 14/27

I hope this helps you! :D

9514 1404 393

Answer:

  20 -x

Step-by-step explanation:

Relative to the shore, the speed of the current subtracts from the speed of the boat. The net upstream speed is ...

  20 -x . . . . miles per hour

Answer:

A) 52

Step-by-step explanation:

If < 1 and < 2 are complementary angles, then it means that the sum of their measures add up to 90°.

< 1 + < 2 = 90°

12x + 4 + 9x + 2 = 90°

21x + 6 = 90°

21x + 6 - 6 = 90° - 6

21x = 84°

21x/21 = 84°/21

x = 4

Substitute the value of x = 4 into < 1 and < 2:

m < 1: 12x + 4 = 12(4) + 4 = 52°

m < 2: 9x + 2 = 9(4) + 2 = 38°

Therefore, the correct answer is A) m < 1 = 52°.

Answer:

−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3

Step-by-step explanation:

(p2qr+pq2r+pqr2)((−p)(q)+qr+−pr)

(p2qr)((−p)(q))+(p2qr)(qr)+(p2qr)(−pr)+(pq2r)((−p)(q))+(pq2r)(qr)+(pq2r)(−pr)+(pqr2)((−p)(q))+(pqr2)(qr)+(pqr2)(−pr)

−p3q2r+p2q2r2−p3qr2−p2q3r+pq3r2−p2q2r2−p2q2r2+pq2r3−p2qr3

−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that:

[tex]\sf\longmapsto(p^2qr+pq^2r+pqr^2)(-pq+qr-pr)[/tex]

Opening the brackets,

[tex]\sf\longmapsto p^2qr(-pq+qr-pr) + pq^2r(-pq+qr-pr) + pqr^2(-pq+qr-pr)[/tex]

Opening the next brackets,

[tex]\sf\longmapsto p^2qr(-pq)+ p^2qr(qr)- p^2qr(pr) + pq^2r(-pq)+ pq^2r(qr)- pq^2r(pr) + pqr^2(-pq)+ pqr^2(qr)- pqr^2(pr)[/tex]

So,

[tex]\sf\longmapsto -p^3q^2r+ p^2q^2r^2- p^3qr^2 - p^2q^3r+ pq^3r^2- p^2q^2r^2-p^2q^2r^2+ pq^2r^3- p^2qr^3[/tex]

[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3+ p^2q^2r^2-2p^2q^2r^2 [/tex]

[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3- p^2q^2r^2 [/tex]

Hence, the product is,

[tex]\longmapsto\bf -p^3q^2r- p^3qr^2 - p^2q^3r- p^2qr^3+ pq^3r^2+ pq^2r^3 - p^2q^2r^2 [/tex]

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  2

x- intercept [tex](-\frac{1}{2}),0[/tex]

y-intercept:  ( 0 , 1 )

Graph in pic

(Credit: M a t h w a y

Answer:

D. 5x - 1

Step-by-step explanation:

To solve this, you need to add together f(x) and g(x)

f(x) + g(x) = (3x - 2) + (2x + 1)

3x + 2x = 5x

-2 + 1 = -1

The answer is 5x - 1

Answer:

1112 grams

Step-by-step explanation:

1867-755=1112 g

Answer:

1112 grams.

Step-by-step explanation:

1867g - 755g = 1112 g

brainliest please. . . .

Answer:

[tex]4(x-5)[/tex]

Step-by-step explanation:

The expression 4x - 20 has the greatest common factor (GCF) of 4.

[tex]4x-20\\4(x-5)[/tex]

Therefore, the factored expression is 4(x - 5).

The coefficient of the variable for the expression 4x - 20 is found as 4.

For the given question,

The expression is given as;

4x - 20

where,

4 is the coefficient of the variable of the expression.

-20 is the constant in the expression.

Thus, the coefficient of the variable is found as 4.

To know more about the coefficient of the variable, here

https://brainly.com/question/1038771

#SPJ2

Answer:

C

A

C

Step-by-step explanation:

Answer:

are you cheating again?

Step-by-step explanation:

cuz I wanna know the answer too

Answer:

x = 9

Step-by-step explanation:

Step 1: Subtract 4x from both sides.

Step 2: Divide both sides by 3.

Step 3: Check if solution is correct.

Therefore, x = 9.

Answer:

$3.66

Step-by-step explanation:

5.00-2.00 = 3.00

0.95-0.29 = 0.66

3.00 + 0.66 = $3.66 which is the answer

Ok,so:

We don’t need the $ sign now.

So.

1. 5.95 -2.29 which is 3.66!

5 - 2 is 3, and 0.95 - 0.29 is 0.66.

So now add :3 + 0.66 is 3.66

So $3.66!

Hope this helped!

Answer:

the answer is 3 I think if not than 2

Answer:

A

Step-by-step explanation:

because 2 times 2 equals 4 and the square root just means what times itself equals this

Answer:

1/2

Step-by-step explanation:

Answer:

5% of $5.00

[tex] \frac{5}{100} \times 5.00[/tex]

[tex] = \frac{1}{4} [/tex]

Answer:

its just a rotation. its as simple as rotating it back to its origonal form and matching up the corners

Step-by-step explanation:

Answer:

look at the photo..................

Answer:

how much does each box cost?

Step-by-step explanation:

Answer:

Step-by-step explanation:10

De acuerdo con los cálculos realizados en el presente desarrollo, el valor del número menor es 233.

Dado que la suma de cuatro números consecutivos es 938, para determinar cuál es el valor del número menor se debe realizar el siguiente cálculo:

Por lo tanto, el valor del número menor es 233.

Aprende más en https://brainly.com/question/12980784

[tex] \frac{6 - 7}{4 - ( - 2)} = \frac{ - 1}{6} = - \frac{1}{6} [/tex]

The slope is -1/6

Answer:

The answer is 100$ worth of lemonades

Step-by-step explanation:

Because 200$ are made with the tacos and lemonade so if the profit is 100 then you divide 100 by 2, so 50+50= 100.

Answer:

325

Step-by-step explanation:

All you have to do is 25 x 13

25 x 13 = 325

So he will run a total of 325 miles

Answer:

I believe your answer to go in the blank should be bisectors. I hope this helps you! :)

Answer:

6, 12, 18, 24, 30, 36, 42, 48, 54 (the bolded numbers go in the box)

Step-by-step explanation:

1. To find the multiples of 6 between 6 and 54, we have to multiply 6 by numbers from 1 to 9.

Therefore, the multiples of 6 between 6 and 54 are 6, 12, 18, 24, 30, 36, 42, 48, 54. (again, the bolded numbers go in the boxes)