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Softa [21]
2 years ago
10

Two students, Addison and Gavin, line up one behind the other. How many different ways can they stand in line?

Mathematics
1 answer:
Ne4ueva [31]2 years ago
7 0
2, one ahead of another and vice versa
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Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equati
riadik2000 [5.3K]

Answer:

y = \frac{3}{2} x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - \frac{2}{3} (x + 5) ← is in point- slope form

with m = - \frac{2}{3}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{2}{3} } = \frac{3}{2}

the equation of a line in slope- intercept form is

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

y = \frac{3}{2} x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = \frac{3}{2} x + 7 ← equation of line K

7 0
2 years ago
Witcch point lies on the line of the point-slpoe equation y-2=5(x-6)
Marina86 [1]

Answer:

See below.

Step-by-step explanation:

<u>Simplify</u>

y - 2 = 5(x - 6)

y - 2 = 5x - 30

y = 5x - 28

Points which lie on the line

(6, 2)

(5, -3)

(7, 7)

7 0
2 years ago
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Need the answer !!?’
Murrr4er [49]

....the answer is <CBA.

6 0
3 years ago
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A yogurt shop offers 10 different flavors of frozen yogurt and 14 different toppings. How many choices are possible for a single
valina [46]

Answer:

140 options

Step-by-step explanation:

10 * 14 = 140

7 0
3 years ago
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Find the area of the trapezoid to the nearest tenth.
NISA [10]
You know the missing side of the bottom base is 6 because of the 30 60 90 special right triangle. The height is 6sqrt3 because of what i said above too, The area of a trapezoid is 1/2 b1+b2*h so 30+36*6sqrt3 is 396sqrt3 divided by 2 is 298sqrt3
4 0
2 years ago
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