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oee [108]
3 years ago
10

Can someone help me please asap

Mathematics
1 answer:
irina1246 [14]3 years ago
3 0

Answer:

the slope is 1/3

the y-intercept is at (0,3)

y = 1/3×x + 3

Step-by-step explanation:

a line has the equation

y = a×x + b

the 2 points we were given as being in the line allow us to define now 2 equations to solve for the 2 variables a and b :

3 = a×0 + b => b = 3

2 = a×-3 + b

=> 2 = a×-3 + 3

-1 = a×-3

1 = a×3

a = 1/3

so, our equation is

y = 1/3×x + 3

the slope or incline of the line is expressed by the y/x ratio or simply a, the factor of x. and that is 1/3.

it is positive, as the line goes up (looking from left to right).

and it means that the value of x has to increase by 3 units, so that y increases by 1 unit.

the y-intercept is the point with x=0. so, that is the already predefined point (0,3).

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Answer:

30 students are absent.

Step-by-step explanation:

5%=0.05

0.05*600=30

8 0
3 years ago
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The midpoint of AB is M(3, -1). If the coordinates of A are (5,1), what are the
Vera_Pavlovna [14]

Given parameters:

Midpoint of AB =  M(3, -1)

Coordinates of A = (5,1)

Unknown:

Coordinates of B = ?

Solution:

To find the mid point of any line, we use the expression below;

              x_{m}   = \frac{x_{1} + x_{2}  }{2}    and y_{m}  = \frac{y_{1} + y_{2}  }{2}

where x_{m}  and y_{m} = coordinates of the mid points = 3 and -1

   x₁  = 5 and y₁ = 1

  x₂ = ?  and y₂ = ?

Now let us input the variables and solve,

            3  = \frac{5 + x_{2} }{2}           and     -1 = \frac{1 + y_{2} }{2}

    5 +  x₂  = 6                          -2 = 1  + y₂

            x₂ = 1                             y₂ = -2 -1 = -3

The coordinates of B = 1, -3

6 0
3 years ago
Which four inequalities can be used to find the solution to this absolute value inequality?
natita [175]

The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the inequality:

3 ≤ |x + 2| ≤ 6

Hence:

x + 2 ≤ 6, -(x + 2) ≤ 6, 3 ≤ x + 2 and 3 ≤ -(x + 2)

This gives:

x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

Find out more on equation at: brainly.com/question/2972832

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6 0
2 years ago
A circle with circumference 20 has an arc with 72 degree central angle what is length of the arc
Debora [2.8K]

Answer:

<h2>4</h2>

Step-by-step explanation:

<em>Look at the picture.</em>

<em />

<em>At the beginning we have to calculate what part of the angle 360° is the given angle 75°.</em>

<em />\dfrac{75}{360}=75:360=0.2<em />

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The circumference <em>C = 20</em>.

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maw [93]

Answer:

He made a math error

Step-by-step explanation:

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take 7.50 / 6=1.25 per ounce  ( not .80 per ounce)

Then 1.26 * 16 = 20.00 for 16 ounces

8 0
3 years ago
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