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Aleks04 [339]
3 years ago
14

Write the standard form of line that passes through (1,5) and (-2,3)

Mathematics
1 answer:
STatiana [176]3 years ago
7 0

Answer:

2/3x - y = -13/3

Step-by-step explanation:

Step 1: Find slope <em>m</em>

m = (3 - 5)/(-2 - 1)

m = -2/-3

m = 2/3

y = 2/3x + b

Step 2: Find <em>b</em>

5 = 2/3(1) + b

5 = 2/3 + b

b = 13/3

Step 3: Write equation in slope-intercept form

y = 2/3x + 13/3

Step 4: Move 2/3x over

-2/3x + y = 13/3

Step 5: Factor out -1

-1(2/3x - y) = 13/3

Step 6: Divide both sides by -1

2/3x - y = -13/3

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What is 12 1/2% of 256
s344n2d4d5 [400]
To determine this, we need to set up fractional proportions.
First, put 12.5% (what we're looking for) over 100%, which is the total (256).
12.5/100 should be your first fraction.
Now, put x over 256, x being 12.5% of 256.
x/256 should be your second fraction.
Now put these two fractions as an equation.
x/256 = 12.5/100
This may be where things get tricky if you don't pay attention.
Cross multiply the top number (numerator) of x/256 with the bottom number (denominator) of 12.5/100.
You should end up with 100x.
Now, cross multiply the top number of 12.5/100 with the bottom number of x/256.
You should end up with 3200.
Now our equation is:
100x = 3200
Divide both sides by 100 to get x.
100x/100 = x
3200/100 = 32
x = 32 is now your simplified equation.
Your final answer is:
32 is 12.5% of 256.
Also, since 12.5% is 1/8 of 100%, we can test our answer.
Multiply 32 by 8 to get 8/8 (100%).
32 x 8 = 256.
Your answer is 32.
I hope this helps!

6 0
2 years ago
Bob constructed an equilateral triangle PQR as shown. He then drew a straight line ST THROUGH POINT P. Determine the sum of the
prohojiy [21]

The answer would be 120 because point p is 60 degrees, since the triangle is an equilateral triangle. Then you would do 180-60, which is 120.

4 0
3 years ago
What is the measurement of F?
Norma-Jean [14]
44 degrees is the answer
5 0
3 years ago
Asp helppp will mark brainliest if correct answer.
GalinKa [24]

Answer:

two dice are thrown, so S = {(1,1); (1,2); (1,3); ...;(6,5); (6,6)} ---> 36

the sum is 2, 4, 6

sum = 2 --> (1,1) ---> 1

       = 4 --> (1,3); (2;2); (3,1) ---> 3

       = 6 --> (1,5); (2,4); (3,3); (4;2); (5,1) ---> 5

⇒ \frac{1 + 3+ 5}{36} = 9/36 = 1/4

6 0
3 years ago
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Semmy [17]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
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