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3 years ago

What is the equation of the line that passes through the point (3,6) and has a slope of 4/3

Mathematics

1 answer:

Neko [114]3 years ago

7 0

Answer:

y = 4/3x+2

Step-by-step explanation:

We can use the slope intercept form of the equation

y = mx+b

Where m is the slope and b is the y intercept

y= 4/3 x +b

Substitute the point into the equation

6 = 4/3(3) +b

6 = 4 +b

Subtract 4 from each side

2 = b

y = 4/3x+2

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A store is having a sale. Sally wants to buy an $80 item at the store. Which of the following equations gives the discount price

satela [25.4K]

The answer is either a or c, depending on the tax percentage. tax is added to the price tag price

6 0

3 years ago

Find the lateral area and surface area of a cone with a radius of 12 and a height of 21

marishachu [46]

Answer:

The Lateral Surface Area is 911.32 square unit and

Total Surface Area is 1361.7 square unit.

Step-by-step explanation:

For a given Cone

Radius (r) = 12

Height (h) = 21

For Lateral Surface Area

<h3>Formula: </h3>

A = πr√r² + h²

A = 3.14 × 12 × √(12)² + (21)²

A = 3.14 × 12 × √144 + 441

A = 3.14 × 12 × √585

A = 37.68 × 24.18

A = 911.32 square unit

Now,

For Total Surface Area

<h3>Formula:</h3>

A = πrl + πr²

For Slant height (l)

l² = r² + h²

l² = (12)² + (21)²

l² = 144 + 441

l² = 585

l = 24.18

So,

A = πrl + πr²

A = πr(l + r)

A = 3.14 × 12 × (24.14 + 12)

A = 3.14 × 12 × 36.14

A = 1361.7 square unit

Thus, The Lateral Surface Area is 911.32 square unit and Total Surface Area is 1361.7 square unit.

-TheUnknownScientist

6 0

3 years ago

Read 2 more answers

X+2y=12 3x-10y = 0 y=? x=?

sergeinik [125]

$~~x+2y=12 \\ ~~3x-10y=0 \\
~------ \\~ -3/x+2y=12 \\ ~~~~~~3x-10y=0 \\ ------- \\ -3x-6y=-36 \\ ~~~~3x-10y=0 \\ +------- \\ ~~~~-16y=-36 \\ \\ ~~~~y= \frac{36}{16}\rightarrow \boxed{\frac{9}{4}} \\ \\$
$x+2. \frac{9}{4} =12 \\ \\ x+ \frac{18}{4} =12 \\ \\ \frac{4x+18}{4} =12 \\ \\ 4x+18=48 \\ 4x=30 \\ \\ x=\boxed{\frac{15}{2}}$

3 0

3 years ago

Read 2 more answers

Determine the range of the following graph:

BaLLatris [955]

Answer:

The range of a function is the set of outputs the function can give

The y-axis on the graph shows as the output of the function

From the graph, we can see that the outputs of this specific function range from 0 to 5

Therefore, the range of this function is: [0 , 5]

3 0

3 years ago

Simplify ( Write without the absolute value sign) |x-(-12)|, if x> -120

elixir [45]

Answer:

24 ;] ;] ;]

Step-by-step explanation:

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3 years ago