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Anon25 [30]
3 years ago
6

What is an equation of the line that passes through the points (3, 1)(3,1) and (-3, -7)(−3,−7)?

Mathematics
1 answer:
rusak2 [61]3 years ago
3 0

Answer:

y = (4/3)x - 3

Step-by-step explanation:

What is an equation of the line that passes through the points (3, 1) and (-3,  -7)?  (Do not repeat the coordinates of the points.)

First we need to find the slope of the line through these two points.  From (-3, -7) to (3, 1), x increases by 6 (which is the 'run') and y increases from -7 to 1 ( a 'rise' of 8).  Thus, the slope of this line is m = rise/run = 8/6, or m = 4/3.

Using the point-slope formula as our starting point, we insert the known values m = 4/3 and point (3, 1):

y - k = m(x - h) becomes y - 1 = (4/3)(x - 3).  This in itself is a satisfactory answer.  We could also write this equation in slope-intercept form, as follows:

y = 1 + (4/3)x - 4, or

y = (4/3)x - 3

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What is the length of the hypotenuse
Liula [17]

Answer:

20

Step-by-step explanation:

To find Hypotenuse: Pythagorean Theroem

a^2+ b^2= c^2

The legs are A and B

The side that is directly across from the Right angle is C

12^2 + 16^2 =C^2

144+256=400

400 = c^2

Square root on both sides to get rid of c^2

The square root of 400 is 20

c=20

8 0
3 years ago
Read 2 more answers
What breaks 40 into 5 equal pieces?<br><br> a) 1/2<br> b) 2/10<br> c) 2%<br> d)20%
natka813 [3]

Answer:

20

Step-by-step explanation:

20 percent of 40 is 5

so 20 is d answer

7 0
3 years ago
If f(x) = g(x), then what does 7x - 12 = -3x + 10?​
Bumek [7]

Answer:

x = 2.2

Step-by-step explanation:

Comment

f(x) = g(x) I don't think has any meaning for this question. I will just solve the equation.

Solution

7x - 12 = - 3x  + 10                    Add 3x to both sides

7x + 3x  -12 = - 3x + 3x +10    Combine

10x - 12 = 10                            Add 12 to both sides

10x -12 + 12 = 10 + 12              Combine

10x = 22                                  Divide by 10

10x/10 = 22/10

x = 2.2

3 0
1 year ago
What is the exact volume of a sphere with a diameter of 18 cm?<br> ______ cm3
madam [21]
The formula to find the volume of a sphere is: V= \frac{4}{3}  \pi r^{3}
Since the diameter is 18 cm, so the radius is equal to r=18/2 = 9
Now we replace r by it's value, so we get: 
\frac{4}{3} \pi  9^{3}
\frac{4}{3}  \pi 729
972 \pi
And we get approximately 3053.63  cm^{3}
Hope this Helps :D 
4 0
3 years ago
Translate into an algebraic expression:
Ber [7]

The algebraic expression is: x% * 100

<h3>How to translate the expression?</h3>

The statement is given as:

How much x% of sugar syrup can you make if you have 100 grams of sugar?

The amount of sugar is given as:

100 grams

So, the algebraic expression is:

x% * 100

Read more about algebraic expression at:

brainly.com/question/19245500

#SPJ1

6 0
2 years ago
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