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3 years ago

Standard form of a line passing through points (1, 3) and (-2, 5)

Mathematics

1 answer:

____ [38]3 years ago

6 0

Answer:

Step-by-step explanation:

As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.

Hence, the slope of this line is m = rise / run = -2/3.

Start with the slope-intercept form y = mx + b.

Substitute 3 for y and 1 for x and -2/3 for m:

3 = (-2/3)(1) + b.

Remove fractions by mult. all three terms by 3:

9 = -2 + b, so b = 11, and y = (-2/3)x + 11

Again, mult. all three terms by 3:

3y = -2x + 33, or, in standard form,

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The amount of water dispensed by a water dispenser is normally distributed,

Contact [7]

Answer:

The correct answer is - C. 11.45 ounces to 11.75 ounces.

Step-by-step explanation:

According to the empirical rule of the distribution for 68% falls under the normal curve falls within 1 standard deviation of the mean.

That is:

μ±δ

From the given information, the mean is

μ = 11.60

and the standard deviation is

δ = 0.15

We substitute the given parameters to obtain;

11.60±0.15

11.75 and 11.45

This means the lower limit is

11.45

and the upper limit is

11.75

3 0

3 years ago

Use Euler’s Formula to find the missing number.<br> Edges: 37<br> Faces: 25<br> Vertices: ?

matrenka [14]

Answer:

Step-by-step explanation:

Comment

The formula that relates edges faces and vertices is F + V = E + 2

Givens

Edges (E): 37

Faces (F) = 25

Vertices: x

Solution

25 + x = 37 + 2 Subtract 25 from both sides.

25-25 +x= 37 - 25 + 2 Combine

x = 12 + 2

x = 14

Answer: The vertices =<u> 14</u>

7 0

2 years ago

A plant costs p dollars and a bush costs b dollars. Ana buys 2 plants and 4 bushes for $42. Paola buys 7 plants and 9 bushes for

gregori [183]

Answer:

p = 5 and b = 8

Step-by-step explanation:

First, create a system of equations:

2p + 4b = 42

7p + 9b = 107

Solve by elimination by multiplying the top equation by -7 and the bottom equation by 2:

-14p - 28b = -294

14p + 18b = 214

Add these together, and solve for b:

-10b = -80

b = 8

Plug in 8 as b into one of the equations, and solve for p:

2p + 4b = 42

2p + 4(8) = 42

2p + 32 = 42

2p = 10

p = 5

So, p = 5 and b = 8

4 0

2 years ago

Read 2 more answers

What is the value of b2 - 4ac for the following equation? x(x 8) = 9

-BARSIC- [3]

If you would like to know the value of b^2 - 4 * a * c, you can calculate this using the following steps:

x * (x + 8) = 9
x^2 + 8x - 9 = 0
ax^2 + bx + c = 0

a = 1
b = 8
c = - 9

D = <span>b^2 - 4 * a * c = 8^2 - 4 * 1 * (-9) = 64 + 4 * 9 = 64 + 36 = 100

The correct result would be 100.</span>

4 0

3 years ago

King Kyle orders the construction of his future mausoleum (a fancy tomb) so that people never forget his awesomeness. His archit

amid [387]

Answer:

14×16

Step-by-step explanation:

The plan of the mausoleum measures 35 metres (width) by 40 metres. It is 2.5 m per square. When redecorating the grave on the grid, 14 (width) by 16 (height) squares should be counted.

3 0

3 years ago