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3 years ago

Write the equation of the line that has a slope of m=3 and passes through (4 , 2)

Mathematics

1 answer:

mina [271]3 years ago

3 0

Answer:

y=3x-10

Step-by-step explanation:

For this, you would use the point slope formula, which is (y-y1)=m(x-x1). x1 and y1 are the coordinates from the ordered pair.

(y-y1)=m(x-x1)

(y-2)=3(x-4)

y-2=3x-12

y=3x-10

To check, you can plug the coordinates into the equation.

y=3x-10

(2)=3(4)-10

2=12-10

2=2

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The mean of six numbers is 45. Four of the numbers are 40, 38, 46, and 51. If the remaining two numbers are I. The ratio of 2:3,

Advocard [28]

Answer:

The numbers are 38 and 57

Step-by-step explanation:

Let

x-----> the missing smaller number

y----> the missing larger number

we know that

$45=\frac{40+38+46+51+x+y}{6} \\ \\270=175+x+y$

$x+y= 95$ -----> equation A

$\frac{x}{y}=\frac{2}{3}$

$x=\frac{2}{3}y$ -----> equation B

substitute equation B in equation A and solve for y

$\frac{2}{3}y+y= 95$

$\frac{5}{3}y= 95$

$y=95*3/5=57$

Find the value of x

$x=\frac{2}{3}(57)=38$

8 0

3 years ago

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anzhelika [568]

About the square root of 20

7 0

3 years ago

Help with this please above

Sergio [31]

The answer is
A. No, because 1 x-value corresponds to 2 different y-values

4 0

3 years ago

A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors. Wh

dezoksy [38]

Answer:

40

Step-by-step explanation:

Given that:

Number of options available for transmission = 2 (Standard or Automatic)

Number of options for doors = 2 (2 doors or 4 doors)

Number of exterior colors available = 10

To find:

Total number of outcomes = ?

Solution:

First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.

1. Standard - 2 doors

2. Standard - 4 doors

3. Automatic - 2 doors

4. Automatic - 4 doors

Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2 $\times 2$ )

Now, these 4 will be mapped with 10 different exterior colors.

Therefore total number of outcomes possible :

Number of transmission modes $\times$ Number of doors options $\times$ Number of exterior colors

2 $\times$ 2 $\times$ 10 = 40

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3 years ago

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Vaselesa [24]

Answer:

cosC = BC/AC

$\cos(c) = \frac{15}{39}$

4 0

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