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RUDIKE [14]
3 years ago
11

Write the equation of the line in slope intercept form

Mathematics
2 answers:
katrin2010 [14]3 years ago
4 0

y = - \frac{3}{4} x + 3

the equation of a line in slope- intercept form is

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

to calculate m use the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0 ) ← 2 points on line

m = \frac{0-3}{4-0} = - \frac{3}{4}

the line crosses the y- axis at (0, 3 ) → c = 3

y = - \frac{3}{4} x + 3 ← in slope-intercept form


kotegsom [21]3 years ago
3 0

Using Rise/Run, the answer would be y= -3/4x + 3.

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Describe what Pi is and explain how it is used in finding the circumference of a circle.
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Answer:

See below.

Step-by-step explanation:

Pi ( written as the Geek letter π) is a universal constant  found by dividing the circumference of a circle by it's diameter. So if you measure the diameter of a circle you can calculate it's circumference by multiplying by π.

Circumference = π * diameter.

It's value to the nearest hundredth is 3.14 but its actual value is a decimal number that goes on without bounds. That is in Maths it is irrational and can't be written accurately as a fraction.

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There are 7 acts in a talent show.
lara31 [8.8K]

Answer:

<u><em></em></u>

  • <u><em>Event A: 1/35</em></u>
  • <u><em>Event B: 1/840</em></u>

<u><em></em></u>

Explanation:

<u>Event A</u>

For the event A, the order of the first 4 acts does not matter.

The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.

Thus, the number of ways that the first <em>four acts</em> can be scheduled is:

          C(m,n)=\dfrac{m!}{n!(m-n)!}

         C(7,4)=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!(3)!}=35

And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).

Therefore the<em> probability of Event A</em> is:

           P(A)=1/35

Event B

Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.

The number of ways in which <em>four acts </em>can be scheculed when the order matters is:

           P(m,n)=\dfrac{m!}{(m-n)!}

         P(m,n)=\dfrac{7!}{(7-4)!}=P(m,n)=\dfrac{7!}{4!}=840

The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)

Therefore, <em>the probability of Event B</em> is:

            P(B)=1/840

7 0
3 years ago
Tell which property the statement x+14=14+x illustrates.
Naddik [55]

Answer:associative property of addition

Step-by-step explanation:The associative property of addition says that changing the grouping of the addends does not change the sum.

8 0
2 years ago
What does 2 (p -q) +5 (p+q) equal when p = 7 and q = -2? Answer:​
salantis [7]

Answer:

43

Step-by-step explanation:

Given

2(p - q) + 5(p + q) ← substitute p = 7 and q = - 2 into the expression

= 2(7 - (- 2)) + 5(7 + (- 2))

= 2(7 + 2) + 5(7 - 2)

= 2(9) + 5(5)

= 18 + 25

= 43

7 0
3 years ago
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