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My name is Ann [436]
3 years ago
13

Use exact numbers. Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and

( 5 , − 8 ) (5,−8)left parenthesis, 5, comma, minus, 8, right parenthesis.

Mathematics
2 answers:
Arlecino [84]3 years ago
8 0

Answer:

y - 1 = -3(x - 2)

Step-by-step explanation:

Sounds as though you want the equation of the line through (2, 1) and (5, -8).

As we move from (2, 1) to (5, -8), x (the "run") increases by 3 and y (the "rise") decreases by 9.  Thus, the slope of this line is m = rise / run = -9/3, or m = -3.

Let's use the point-slope formula for a straight line here:  The point (h, k) is (2, 1) and the slope is -3. Then y - k = m(x - h) becomes:

y - 1 = -3(x - 2)

Anastasy [175]3 years ago
6 0

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = \frac{-8-1}{5-2} = \frac{-9}{3} = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1) , then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line

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Pls help, I will give brainlist!
LenKa [72]

Answer:

Step-by-step explanation:

2.)A=\frac{bh}{2}

\frac{15*10}{2}=75.

3.) years to month

6 years is 72 month+2 month=74 month

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74 month=2250.84days.

6 0
3 years ago
1. A particular shade of orange paint has 2 cups of yellow
Tamiku [17]

Answer:

6 cups of yellow paint and 9 cups of red paint are required for 3 batches of orange paint.

Step-by-step explanation:

Consider the provided information.

A particular shade of orange paint has 2 cups of yellow  paint for every 3 cups of red paint.

We need to find the numbers of cups of yellow and red paint  needed for 3 batches of orange paint.

For one batches of orange paint we need 2 cups of yellow and 3 cups of red.

So for 3 batches of orange paint we need:

2×3 = 6 cups of yellow paint.

3×3 = 9 cups of red paint.

The required number line is shown below.

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=0.7x%5E%7B2%7D%20%20-%204.3x%20%2B%203.9%20" id="TexFormula1" title="0.7x^{2} - 4.3x + 3.9 "
Ostrovityanka [42]
Use the quadratic formula to get 
x= -11.24188336 or -15.17240236

4 0
2 years ago
Find a formula for the product P of the solutions of the quadratic equation ax²+bx+c=0 .
Ede4ka [16]

Answer:

product of the roots= c/a

Step-by-step explanation:

The the two roots(α and β) of the quadratic equation ax²+bx+c=0  as given by shridharacharya formula are

\alpha= \frac{-b+\sqrt{b^2-4ac} }{2a}

\beta= \frac{-b-\sqrt{b^2-4ac} }{2a}

now product of the roots

αβ= \frac{-b+\sqrt{b^2-4ac} }{2a}×\frac{-b-\sqrt{b^2-4ac} }{2a}

use formula (a+b)(a-b)= a^2-b^2 and solve we get

αβ= c/a

therefore product of the roots= c/a

8 0
3 years ago
During the 2010 baseball​ season, the number of wins for three teams was three consecutive integers. Of these three​ teams, the
attashe74 [19]

Answer: 83,84 and 85

Step-by-step explanation:

Let the number of win for the teams be x, x+1 and x+2 respectively. From the question, we are told that the total number of wins by these three teams was 252 for the 2010​ season. Therefore,

x+x+1+x+2 = 252

3x+3 = 252

3x = 252 - 3

3x = 249

x = 249/3

x = 83

This means that the team with least wins has 83 while the second team has 84 and the team with most wins has 85.

3 0
2 years ago
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