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olga2289 [7]
2 years ago
9

Write the equation of the line containing the points (3, 6) and (7, - 2) in standard form.

Mathematics
2 answers:
Rama09 [41]2 years ago
7 0

Answer:

y = mx + c \\ 6 = 3m + c...(1) \\  - 2 = 7m + c...(2) \\ subtract \: (2) - (1) \\ 4m =  - 8 \\  \therefore \: m  = - 2 \: sub \: in \: (1) \\ 6 = 3( - 2) + c \\ \therefore \: c  = 12 \\  \boxed{y =  - 2x + 12}

kondaur [170]2 years ago
4 0

Answer:

y=-2x+12

Step-by-step explanation:

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SOMEONE HELP ME ON THESE QUESTIONS
dem82 [27]

1.)  The sum(addition) of 21 and 5 times(multiplication) a number f is(=) 61.

f = unknown number/variable     [So 21 plus 5f(5 times f) equals 61]

21 + 5f = 61   [21(one-time) + 5f(number x variable) = 61(total)]

2.)  Seventeen more(addition) than seven times(multiplication) a number j is(=) 87.

j = unknown number/variable    [So 17 plus 7j(7 times j) equals 87]

17 + 7j = 87  

3.)   n = number of calls

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[Company charges $18 plus five cents per call(n), and the total charge was $50.50]

4.)     s = the number of students

40 + 30s = 220

[Tutor charges $40 plus $30 per student(s), and the total charge was $220]

4 0
2 years ago
Does cold salty water sink or rise along the ocean floor as deep as a current​
rewona [7]

Answer:

In cold regions, such as the North Atlantic Ocean, ocean water loses heat to the atmosphere and becomes cold and dense. When ocean water freezes, forming sea ice, salt is left behind causing surrounding seawater to become saltier and denser. Dense-cold-salty water sinks to the ocean bottom.

Step-by-step explanation:

7 0
2 years ago
David’s father bought 5 smoothies. He paid $20. Write and solve an equation to find the cost of one smoothie.
Naya [18.7K]

Answer:

$4

Step-by-step explanation:

Because he bought 5 smoothies and they were each $20, you have to do 20÷5. Then you get $4 as your answer.

7 0
3 years ago
Read 2 more answers
What is the value of x?<br> A. 5<br> B. 8.7<br> C. 11.5<br> D. 20<br> AND MAKE SURE YOU EXPLAIN IT!
AlekseyPX
D. 20 it's a 30-60-90 degree triangle so because the length of the hypotenuse is twice the length of the shortest leg
8 0
3 years ago
We are standing on the top of a 320 foot tall building and launch a small object upward. The object's vertical altitude, measure
STALIN [3.7K]

Answer:

The highest altitude that the object reaches is 576 feet.

Step-by-step explanation:

The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be h(t) = -16\cdot t^{2} + 128\cdot t + 320, the first and second derivatives are, respectively:

First Derivative

h'(t) = -32\cdot t +128

Second Derivative

h''(t) = -32

Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:

-32\cdot t +128 = 0

t = \frac{128}{32}\,s

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h(4\,s) = 576\,ft

The highest altitude that the object reaches is 576 feet.

6 0
3 years ago
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