Answer:
k = 3
Step-by-step explanation:
If the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9, then their slopes are equal
For coordinate AB;
slope m1 = 3 - 3k/k-(-1)
m1 = 3-3k/k+1
For the line 2y+3x = 9
2y = -3x + 9
y = -3/2 x + 9/2
Slope m2 = -3/2
Since m1 = m2
3-3k/k+1 = -3/2
Cross multiply
2(3-3k) = -3(k+1)
Expand
6 - 6k = -3k - 3
-6k+3k = -3 - 6
-3k = -9
k = -9/-3
k = 3
Hence the value of k is 3
Answer: 6.403 miles; or, write as: 6.403 mi. .
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Explanation:
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5
--------------------------------------------
` right angle |_ |
` (right triangle ) |
` | 4
` |
`
"c" ` \
(hypotenuse) Starting point
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Since we have a "right triangle, we solve for "c"; using the
"Pythagorean theorem" ;
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→ a² + b² = c² ; Solve for "c" ; our answer (in "miles"; or, "mi.") ;
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Given : a = 4; b = 5 ;
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Plug these known values into our equation:
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→ 4² + 5² = c² ;
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→ 16 + 25 = c² ; ↔ c² = 16 + 25 ;
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→ c² = 41 ;
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→ Take the positive square root of each side of the equation (since the side of a "triangle" cannot be "negative";
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→ √(c²) = √(41) ;
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→ c = √41 ; Use calculator;
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→ c = 6.40312423743 ; Round to:
→ c = 6.403 miles; or, 6.403 mi.
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Answer:
Jerry would still be in debt by 7100
Step-by-step explanation:
Just subtract 8500 from 15600
Answer:
y-b/m = x
Step-by-step explanation:
y = mx + b
~Subtract b to both sides
y - b = mx
~Divide m to both sides
y-b/m = x
Best of Luck!
It is proportional because we increase y.
