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Lubov Fominskaja [6]
3 years ago
10

What is the equation of a line with a slope of 7 and a point (1, 8) on the line?

Mathematics
1 answer:
stira [4]3 years ago
6 0
Slope: 7   given point: (1,8)

y = 7x + b          step 1 - plug in the slope in the formula
8 = 7(1) + b       step 2 - plug in the given point
8 = 7 + b           step 3 - simplify the expression
b = 1                 step 4 - solve for b
y = 7x + 1         step 5 - plug in b

formula: y = 7x + 1
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Answer:

(x-8)(x+7)

Step-by-step explanation:

using quadratic formula we have

x=  \frac{-b+-\sqrt{b^{2}-4*a*c}}{2*a}

we have:

x^2-x-56=0

a= 1 b=-1 c=-56

so we have:

x=(-(-1)+-sqrt(1^1-4*(1)*(-56)))/(2*1)

x=1+-sqrt(1-4*(-56))/(2)

x=(1+-sqrt(225))/2

x=(1+-15)/2

so we have the roots:

x1=(1+15)/2 =8

x2=(1-15)/2=-7

so the answer is (x-8)(x+7)

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Step-by-step explanation:

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liraira [26]

Answer:   \bold{\dfrac{5}{12}}

<u>Step-by-step explanation:</u>

greater than 3 means the sum is either 4, 5, or 6.

There are 15 permutations that meet the criteria:

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(2, 2), (2, 3), (2, 4), (2, 5), (2,6)

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(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4,6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5,6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6,6)

There are 6²= 36 total permutations for 2 dice.

Probability=\dfrac{\#\ of\ permutations> 3}{total\ \#\ of\ permutations}\\\\.\qquad \qquad =\dfrac{15}{36}\\\\.\qquad \qquad =\dfrac{5}{12}\\\\

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