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Alex787 [66]
3 years ago
13

What is the equation of the line that passes through the points (4,5) and (6,4)?

Mathematics
1 answer:
marishachu [46]3 years ago
4 0

Answer:

y=(-1/2)x+7

Step-by-step explanation:

y=mx+b

find slope (m)-> (4-5)/(6-4)

find y-intercept (b)-> 4=(-1/2)6+b

m= -1/2

b= 7

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Kim is 5 years older than her brother Jack. If the sum of their ages is 21, find each of their ages.
yarga [219]

9514 1404 393

Answer:

  • Kim is 13
  • Jack is 8

Step-by-step explanation:

Let k represent Kim's age. Then Jack's age is k-5 and the total of their ages is ...

  k + (k -5) = 21

  2k = 26 . . . . . . . add 5, collect terms

  k = 13 . . . . . . . . . divide by 2; Kim's age

  k -5 = 8 . . . . . . . Jack's age

Kim is 13; Jack is 8.

7 0
3 years ago
Given the following linear function sketch the graph of the function and find the domain and range f(x)=-3x+7
natka813 [3]
<h3>Answer:</h3>

see attached for a graph

domain and range: all real numbers

<h3>Step-by-step explanation:</h3>

The function is written in slope-intercept form, showing that it has a slope of -3 and a y-intercept of +7. The y-intercept (0, 7) is a point on the line, as is a point 1 unit to the right and down 3 units, (1, 4).

The graph will be the line through these two points.

_____

As with any odd-degree polynomial function, both domain and range are all real numbers: (-∞, ∞).

6 0
4 years ago
Find the slope given the following points: (8,-6) (-9,12)
skelet666 [1.2K]

Answer:

Slope (m) =  18 /-17 =-1.0588235294118

Step-by-step explanation:

3 0
3 years ago
You purchase 4 videos. The original price of each video is x dollars. You decide to purchase the limited edition versions of the
atroni [7]

You purchase 4 videos

The original price of each video is x dollars

You decide to purchase the limited edition versions of the videos for an additional cost

Your total cost is (4x + 20) dollars

So, total additional cost is $20

since, we are purchasing 4 videos

so, additional cost in each videos is

=\frac{20}{4}

=5

So, limited edition cost additional $5 per videos.........Answer

3 0
3 years ago
On one day a rickshaw puller earned 80.out of his earning he spent 68÷5 on tea and snacks,51÷2 on food and 22÷5 on repair of the
Alexeev081 [22]
Answer: $56.50
==================================
(instead of dividing each of them individually and them subtracting them one by one, combine them together as a fraction first and then subtract)

80 - (68/5 + 51/2 + 22/5)
= 80 - (136/10 + 255/10 + 44/10)
= 80 - (435/10)
= 80 - 43.5
= 56.5

He saved $56.50 on that
7 0
3 years ago
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