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andrew-mc [135]
3 years ago
5

A line has a slope of -8 and includes the points (-10, 0) and (-9, z). What is the value of Z?

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
6 0

Answer:

Step-by-step explanation:

Let L be the given line, then, with a slope of -8

L :  y = -8x + b

where b is to be determined from the included point A(-10,0).

Substitute point A in L to get

0 = -8 (-10) + b

solve to get

b = -80

therefore

L : y = -8x -80

Now substitute B(-9,z) in L

z = -8(-9) - 80 = -8

Shalnov [3]3 years ago
5 0

Answer:

z = -8

Step-by-step explanation:

Given coordinate points are:

(-10 , 0) = (x1 , y1)

(-9 , z) = (x2 , y2)

slope ( m) = y2-y1/x2-x1

-8 = z - 0/-9 - (-10)

-8 = z/-9 + 10

-8 = z/1

-8*1 = z

-8 = z

therefore the value of z is -8.

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Jessica has 48 coins, some of them are nickels and some are dimes. How many of each does she have if she has $3.25 total? 69 POI
Mrrafil [7]

<u>Answer:</u>

Nickels = 44.6

Dimes = 3.4

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

We know that Jessica has 48 coins of which some are nickels and some are dimes so we can write it as:

n = amount of nickels

d = amount of dimes

n+d=48 --- (1)

We are to find the number of nickels and dimes if their total worth is $3.25.

Since a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.3d = 3.25 --- (2)

From (1):

n=48-d

Substituting this value of n in (2) to get:

0.05(48-d) + 0.3d = 3.25

2.4-0.05d+0.3d=3.25

2.4+0.25d=3.25

0.25d=0.85

d=3.4

Finding n by substituting the value of d:

n=48-d

n=48-3.4

n=44.6

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3 years ago
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4 years ago
Log5(x-1)+log5(x+3)-1=0
jonny [76]

Answer:

there are no real solutions

Step-by-step explanation:

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4 years ago
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seropon [69]

The correct situation for the given condition are as follows:

C) Both proposed placements will light the same sized area.

F) Dylan's proposed placement will light exactly half of the yard.

<h3>What is Area of Triangle?</h3>

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e.,  A = 1/2 × b × h.

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The yard's total area = 60 x 38 = 2,280 sq ft,

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Thus, The correct situation for the given condition are as follows:

C) Both proposed placements will light the same sized area.

F) Dylan's proposed placement will light exactly half of the yard.

Learn more about Area of triangle from:

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6 0
2 years ago
4/5% of 500 show your work. explain your reasoning
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