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m_a_m_a [10]
3 years ago
11

Please help. A line passes through the points (6,10) and (4,-2)

Mathematics
1 answer:
mel-nik [20]3 years ago
7 0

y = mx + b  

Where m = slope and b is the y intercept

Let's find the slope = change in y/change in x

m = (4-2)/(-6+2) = 2/-4 = -1/2

Now we have:

y = (-1/2)x + b

Now substitute point (-6,4)

4 = (-1/2)(-6) + b

4 = 3 + b

b = 1

 

So y = (-1/2)x + 1 is the equation.

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Micheal wants to find the length of a shadow of a tree. He measures the height of a fence post and the length of the shadow it c
Arlecino [84]
Im pretty sure the answer is 92.0 becauese 
if you do 10.5x3.5                                                                                                5x5=25                                                                                                                5x0+2=7                                                                                                              5x1=5 so that will be 57.5 then your going to do                                                3x5=15                                                                                                                3x0+1=4                                                                                                           3x1=3  that equals 34.5 then your going to add                          57.5                                                                                                                 +34.5
= 92.0
7 0
3 years ago
1. Which ordered pairs are solutions to the inequality –3x + y ≥ 7?
Murrr4er [49]
Q1. The answers are (–1, 8), (0, 7), (3, 18)

<span>–3x + y ≥ 7
</span>Let's go through all choices:

<span>(–2, –3) 
</span>(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7       INCORRECT

(–1, 8) 
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7       CORRECT

(0, 7) 
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7       CORRECT

(1, 9) 
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7       INCORRECT

(3, 18) 
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7       CORRECT



Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
<span>y ≥ 0
</span>
<span>x - small boxes
</span><span>y - large boxes

</span>He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each <span>on a shelf that holds up to 80 lb:
5x + 12y </span>≤ 80

Jude needs at least 4 small boxes on the shelf: x ≥ 4

Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16

x ≥ 4 can include x ≤ 16

So, y can be 0: y ≥ 0
8 0
2 years ago
Mr.Hollins determines that he gives 800 dollers each month if he gives away 16percent of his budget how much is his overall budg
kirill115 [55]
800 x 100 = 80000

80000 divided by 16 = 5000

5000 - 800 = 4200

His overall budget is $4200
8 0
2 years ago
Please help me with this<br> It is due today, so please help me ASAP
horrorfan [7]
1.a. 2 hours 41 minutes b. 10 hours 21 minutes
2.a. 3:10pm b. 12:42pm
4 0
2 years ago
Read 2 more answers
Given the midpoint of (-10,7) and the endpoint of (5,-3), what is the other endpoint?
xxMikexx [17]

(-25,17)


Hope this helps.

4 0
3 years ago
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