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dangina [55]
3 years ago
6

What is the equation in point-slope form of a line that passes through the points (7, −8) and (−4, 6) ?

Mathematics
1 answer:
nika2105 [10]3 years ago
7 0

The slope-point form:

y-y_1=m(x-x_1)

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (7, -8) and (-4, 6). Substitute:

m=\dfrac{6-(-8)}{-4-7}=\dfrac{14}{-11}=-\dfrac{14}{11}\\\\y-6=-\dfrac{14}{11}(x-(-4))\\\\\boxed{y-6=-\dfrac{14}{11}(x+4)}

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A circle has a circumference of 25.12 inches what is the diameter of the circle
BigorU [14]

Answer:

8

Step-by-step explanation:

Recall these two equations for circumference and diameter.

Circumference = 2*pi*radius

Diameter = radius*2

25.12 = 2*pi*radius

Radius = 4

Diameter = 4*2 => 8

Thus the diameter is 8

4 0
3 years ago
2. Eight cards are marked : (3,4,5,6,7,8,9,10), such that each card has
viva [34]
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6 0
2 years ago
3 + 3 x 3 - 3 + 3 =?
SCORPION-xisa [38]
12, 3x3 = 9, +3 =12-3=9+3=12
3 0
3 years ago
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If 5x – 4 = 31, what is the value of x?​
Lunna [17]

Answer:

x = 5 \frac{2}{5}

Step-by-step explanation:

Hi there!

So, to answer this problem, I'll use the reverse method.

31 - 4 = 27,

So how many times, can 5 go into 27?

The closest factor of 5 to 27 is 25.

5 can go in to 27,  5 times.

Continuing on, there is a 2 left over, so the answer to your question is

x = 5 \frac{2}{5}

5 · 5 \frac{2}{5} - 4 = 31

Let me know if I am incorrect and I will attempt to find the right answer for you.

<em>waffletowne</em>

7 0
2 years ago
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The function f(x) = 16,800(0.9)x represents the population of a town x years after it was established. What was the original pop
Setler79 [48]

I am guessing that the correct form of equation is:

f(x) = 16,800(0.9)^x
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Since we are looking for the original population and x stand sfor the number of years, therefore x=0
substituting:
f(x) = 16,800(0.9)^0

Since (0.9)^0  would just be equal to 1. Therefore the original population is 16,800. 

 

Answer: B. 16,800

3 0
3 years ago
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