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Degger [83]
3 years ago
6

What is the equation for the line

Mathematics
1 answer:
Pavel [41]3 years ago
6 0
The model equation for any line is
y = mx + b,
where m is slope and b is y-intercept (where the line intersects the y-axis).

The slope is change in y over change in x. You can find the slope by picking two points. The numerator will be the difference in y-coordinates, and the denominator will be the difference in x-coordinates.
As an equation, this is
slope = \frac{y2-y1}{x2-x1},
where the two points are (x1, y1) and (x2, y2).

Let's pick two points to find the slope: (0, 5) and (3, -7).
The slope is 
\frac{-7-5}{3-0} = \frac{-12}{3} = -4

Now that we have the slope m = -4, we need to find the y-intercept b. The line crosses the y-axis at 5, so b = 5.

The equation is y = -4x + 5
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vfiekz [6]
<span>So we want to know how many individual heels did the shoemaker bought if he bought 30 pairs of heels. So to get to the answer we must know that one pair of heels is equal to two individual heels. So now we can calculate the individual number of heels: 30 pairs * 2 = 60 individual heels. </span>
7 0
3 years ago
Devaughn's age is three times Sydney's age. The sum of their ages is <br> . What is Sydney's age?
g100num [7]

Answer:

syd is 23 and dev is 69


Step-by-step explanation:

Let Dev's age be x and Syd's age be y

Since Dev is 3 times older than Syd, we may write  

x

=

3

y

Since the sum of their ages is 92, we may write  

x

+

y

=

92

Now replacing x with 3y, we get :  

3

y

+

y

=

92

Hence  

y

=

92

4

=

23

and so Syd is 23 year old.

Back substituting we get Dev is 69 years old.

8 0
3 years ago
Read 2 more answers
What is the length of an arc with a central angle of 43? radians and a radius of 42 cm? use 3.14 for pi. round to the nearest hu
uysha [10]
L=R*angle, but the angle *must* be in radians. So, just translate 43 degrees into radians: 43 * pi / 180, and you'll get:

L = 42 * ( 43 * pi / 180 ) ~ 31.504666, which rounded to the nearest hundredth is 31.50 cm.
4 0
3 years ago
Please help!!! i'll give brainliest and offering 20 pts each!!!
Aleks04 [339]

Answer:

  • 5(x +1.5)^2
  • 10(x +1)^2
  • 1/4(x +2)^2
  • 3(x +5/6)^2

Step-by-step explanation:

When your desired form is expanded, it becomes ...

  a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2

b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

_____

<em>Additional comment</em>

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

8 0
2 years ago
Select all the situations that can be represented by the tape diagram. 99 W W W W W 4 Clare buys 4 bouquets, each with the same
enot [183]

Answer:

Third one 33333333333333333

5 0
3 years ago
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