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:

  D. 5 < x < 9

Step-by-step explanation:

The third side cannot be any shorter than the difference of the other two sides: 7 -2 = 5. It cannot be any longer than the sum of the other two sides: 7+2 = 9. It cannot be equal to either of those values. So, we must have ...

  5 < x < 9

Answer:

3hr 26min 25src

Step-by-step explanation:

Answer:

500, 300

Step-by-step explanation:

Assuming the rounding is for nearest 100,

635-124

600-100

500

864-612

900-600

300

Positive number is a square root

Answer:

The ratios are proportional ratios

Answer:

Step-by-step explanation:

The ratios are proportional

[tex]\dfrac{5}{12}=\dfrac{5*2}{12*2}=\dfrac{10}{24}[/tex]

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

We have to prove that:

[tex]\rm\longmapsto \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) } = \tan(x) [/tex]

Taking LHS, we get:

[tex]\rm = \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) }[/tex]

We can take sin(x) as common from numerator part. We get:

[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{2 \cos^{3} (x) - \cos(x) }[/tex]

Similarly, we can take cos(x) as common from first two terms. We get:

[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{ \cos(x) \{ 2 \cos^{2} (x) -1\}}[/tex]

[tex]\rm = \dfrac{ \sin(x) }{ \cos(x) } \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]

As we know that:

[tex]\rm\longmapsto \dfrac{ \sin(x) }{ \cos(x) } = \tan(x) [/tex]

We get:

[tex]\rm = \tan(x) \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]

Now, we will expand the terms in fraction:

[tex]\rm = \tan(x) \cdot \dfrac{\{1- \sin^{2} (x) - { \sin }^{2}(x) \}}{\{\cos^{2} (x) + \cos^{x}(x) -1\}}[/tex]

As we know that:

[tex]\rm \longmapsto \sin^{2}(x)+cos^{2}(x)=1[/tex]

[tex]\rm \longmapsto\cos^{2}(x)=1-sin^{2}(x)[/tex]

[tex]\rm \longmapsto\cos^{2}(x) - 1=-sin^{2}(x)[/tex]

Now substitute the values in the expression, we get:

[tex]\rm = \tan(x)\cdot \dfrac{ \cos^{2} (x)-{ \sin }^{2}(x)}{\cos^{2} (x) - \sin^{2} (x) }[/tex]

[tex]\rm = \tan(x)\cdot1[/tex]

[tex]\rm = \tan(x)[/tex]

Here, we notice that LHS = RHS

Proved.

Answer:

Top Left

Step-by-step explanation:

The numbers all coordinate to that plot

Answer:

Step-by-step explanation:

The easy way is to look for exceptions. The first and last plots missing 7/8 and same with data set.

There are 4 1's in the set which is correct with the first plot.

Answer:

Any equation of the line with slope 2/3.

Parallel lines have identical slope.

Step-by-step explanation:

3y - 2x = - 24

3y = 2x - 24

y = 2/3x - 8

conversion of temperature

buying groceries

checking weight

measuring length

Answer:

He could eat 4 apples in 4 minutes

Step-by-step explanation:

If he eats 1 apple per minute (which I dont know how he does) then in 4 minutes he will have eaten 4 apples.

Answer:

9

Step-by-step explanation:

It would be 9 because 7 +2 is 9 and 11 - 2 is 9.

Isn't way to hard.

Good luck on whatever you are doing.

9514 1404 393

Answer:

  9

Step-by-step explanation:

The midpoint between two values is their average. The average is half their sum.

  (7 +11)/2 = 18/2 = 9

The number 9 is halfway between 7 and 11.

_____

Check

The distance from 7 to 9 is 9-7 = 2. The distance from 9 to 11 is 11-9 = 2. The distances are the same, so 9 is halfway between 7 and 11.

Step-by-step explanation:

the graph of this function is

Answer:

a=-3

b=-63

c= 2

d=8

e=9

f=128

h=-21

i=24

Step-by-step explanation:

Answer:

$80

Step-by-step explanation:

192÷12=16

16•5=80

Answer:

Elena puts in $80 into her savings account

Step-by-step explanation:

You need to multiply 5/12 and 192. Think of "5/12 x 192" as "5/12 of 192." If you don't know how to multiply a fraction with a whole number, you can convert the fraction to a decimal. Hope this helps!

Answer:

pogi mooooo loooodsssssssss

Answer:

D. Maybe? brainliest suggested

Step-by-step explanation:

Answer:

8 gray kittens

Step-by-step explanation:

There are double the amount of grey kittens compared to white kittens so, you would do 4 × 2 which is 8. There are 8 grey kittens.

Hope this helps!

9514 1404 393

Answer:

  y = 3x +3

Step-by-step explanation:

The slope of the line can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

Using the first two sets of table values, this is ...

  m = (9 -6)/(2 -1) = 3/1 = 3

You can find the point-slope equation using the form ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -6 = 3(x -1) . . . . . using the first point in the table

Solving for y gives ...

  y = 3x -3 +6 . . . eliminate parentheses, add 6

  y = 3x +3

Answer:

undoable

Step-by-step explanation:

theres no =

Answer:

False    -5.25 is < (less than) -3

Step-by-step explanation:

Answer:

664.94

Step-by-step explanation:

Give me brainlyest please

Answer:

664.94 is the answer to this question. I hope this helps.

Answer:

2hr 48 minutes

Step-by-step explanation:

65t + 85t = 420

150t = 420

t = 2 120/150 = 2 4/5 = 2hr 48 minutes

Time taken by two trains to cover 420 miles is 2hr 48 minutes.

Given, that two trains are travelling towards each other.

Relation between speed, time and distance:

Distance = Speed × Time

When the two trains are travelling towards each other the speeds of two trains are added.

When the two trains are moving in same direction then the relative speed is difference of the two.

So, here the trains are moving towards each other.

65t + 85t = 420

150t = 420

t = 420/150

t = 42/15

t = 2hr 48 minutes

Therefore total time required by two trains to meet is  2hr 48 minutes.

Know more about speed, time and distance,

https://brainly.com/question/31756299

#SPJ3

Step-by-step explanation:

what ask you ask you not ask any question please write your question please mark me brainlist

Answer:

x = 25

Step-by-step explanation:

The interior angle adjacent to the 123° angle is supplementary to it.

Its measure is 180° - 123° = 57°

The sum of the measures of the interior angles of a polygon is

(n - 2)180° = (4 - 2)180° = 2(180°) = 360°

3x + 7 + 96 + 5x + 57 = 360

8x + 160 = 360

8x = 200

x = 25

Answer:

sorry I don't remember bye I will try to remember

Answer:

The value of the expression is - 9.

Evaluating the expression before simplifying is preferred because you only have to substitute once instead of substituting three times.

Step-by-step explanation:

x = 2

- 8x + 5 - 2x - 4 + 5x

= - 8x - 2x + 5x + 5 - 4

= - 10x + 5x + 1

= - 5x + 1

= - 5 ( 2 ) + 1

= - 10 + 1

= - 9