All categories

3 years ago

What is the slope and y intercept of the equation 6x-1 = 3y - 10

Mathematics

1 answer:

Ivan3 years ago

6 0

First, change it into general form(y=my+b).
3y=6x-1+10
3y=6x+9
y=2x+3
So, the slope is 2, and the y-intercept is 3

You might be interested in

Suppose I rolled a fair six-sided die. Let R=number rolled. What is the sample space,

Mariana [72]

Answer:

No Side Is Being Favored Since The Die Is A Fair Six-Sided Die.

So Each Number Has The Same Chance Of Being Rolled.

6 0

3 years ago

You put the following items into your rucksack. Ham 600 g Cheese 380 g Tomatoes 270 g How much do all the ingredients weigh in t

nekit [7.7K]

The answer is 1,250 as you add all the items together

5 0

3 years ago

Steve cycled 35 miles in 2 1/2 hours. What is the average speed that Steve traveled? miles per hour

Evgesh-ka [11]

Answer:

14 miles per hour

Step-by-step explanation:

The average speed would be the total distance divided by the total time = 35 miles divided by 2.5 hours is 14 miles per hour

5 0

3 years ago

Q2.What is the ratio of volumes of the two cylinders formed by rolling a sheet of dimensions lxb in two different ways? Q3.What

Kobotan [32]

Answer:

2. b : l

3. 20cm

4. 49 $cm^{2}$

5. $(2\pi+1):2\pi$

Step-by-step explanation:

<u>Solution 2:</u>

Let cylinder is rolled along 'l':

Height of cylinder , h = length of rectangle = l

Perimeter of base = b

Let 'r' be the radius of cylinder's base:

$2\pi r = b\\\Rightarrow r = \dfrac{b}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_1 = \pi (\dfrac{b}{2\pi})^2 l\\\Rightarrow V_1 = (\dfrac{b^2}{4\pi}) l$

Let cylinder is rolled along 'b':

Height of cylinder , h = length of rectangle = b

Perimeter of base = l

Let 'r' be the radius of cylinder's base:

$2\pi r = l\\\Rightarrow r = \dfrac{l}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_2 = \pi (\dfrac{l}{2\pi})^2 b\\\Rightarrow V_2 = (\dfrac{l^2}{4\pi}) b$

Taking ratio:

$V_1:V_2 = \dfrac{(\dfrac{b^2}{4\pi}) l}{(\dfrac{l^2}{4\pi}) b} = b:l$

Solution 3:

Rectangle is rolled along its length to make a cylinder, so height will be equal to its length.

$\therefore$ height of cylinder = 20 cm

Solution 4:

Side of square = 7 cm

Height of cylinder =Side of square = 7 cm

7 cm will be the circumference of the circle.

i.e. $2\pi r$ = 7 cm

Curved surface area of a cylinder:

$CSA = 2\pi rh$

Putting the above values:

CSA = 7 $\times$ 7 = 49 $cm^{2}$

Solution 5:

As calculated in above step:

CSA = $2\pi rh =$ 7 $\times$ 7 = 49 $cm^{2}$

Total surface area = $2\pi r^{2} + 2\pi r h$

Calculating value of r:

$2\pi r$ = 7 cm

$\Rightarrow 2 \pi r = 7\\\Rightarrow r = \dfrac{7}{2\pi}$

Total surface area =

$2\pi (\dfrac{7}{2\pi})^{2} + 49\\\Rightarrow \dfrac{49}{2\pi}+49\\\Rightarrow 49(\dfrac{1}{2\pi}+1) cm^2$

Ratio of TSA: CSA is

$49(\dfrac{1}{2\pi}+1) cm^2 : 49 cm^2\\\Rightarrow (\dfrac{1}{2\pi}+1):1\\\Rightarrow (2\pi+1): 2\pi$

5 0

3 years ago

Please help!! 10-|-5-2|

Lena [83]

Answer:

Step-by-step explanation:

10-|-5-2|

10-|-7|

10-(7)

10-7

5 0

3 years ago