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2 years ago

Passes through (2, 3) and has slope of -1/2

Mathematics

1 answer:

maksim [4K]2 years ago

5 0

Answer:

y=-1/2x+4

Step-by-step explanation:

the slope is -1/2x and y intercept is 4

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lesya [120]

Answer:

there is no difference

Step-by-step explanation:

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2 years ago

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What is 258/300 as a percent

Step2247 [10]

To transform it into percent we want to have 100 into denominator. The easiest way is divide numerator and denominator by 3 (thats because than it doesnt change the value of fraction), so:
$\frac{258}{300}= \frac{258:3}{300:3}= \frac{86}{100} = 86%$ - its the result

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3 years ago

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Lady bird [3.3K]

B. It would be 5/2 and -3/4.

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2 years ago

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You work for a carpet company. You sell carpets at these prices: 100 square feet for $67, 200 square feet for $130, 400 square f

fredd [130]

Answer: A. $0.60

Step-by-step explanation:

The prices for which the carpets were sold are

1) 100 square feet for $67

2) 200 square feet for $130

3) 400 square feet for $240

4) 800 square feet for $504. We would determine the unit cost per square foot for each of them. It becomes

1) 1 square feet costs 67/100 = $0.67

2) 1 square feet costs 130/200 = $0.65

3) 1 square feet costs 240/400 = $0.6

4) 1 square feet costs 504/800 = $0.63

The unit cost per square foot of carpet for the worst deal is $0.6

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2 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

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

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2 years ago