tara is inviting 6 freinds to a party if each freind will get 5 cookies and each box has 12 cookies how many boxes does tara nee
1 answer:
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Answer:
Your answer would be 4.8 cm
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Step-by-step explanation:
To solve this, you would want to use the Pythagorean Theorem. I will attach a picture below to show you the exact side you are trying to find in this problem.
Pythagorean Theorem:
a² + b² = c²
To solve this, we would have to plug the numbers (0.7, 2.5) in to the right spot in the Pythagorean theorem. We are trying to find one of the side lengths. 0.7 is one of the side lengths, while 2.5 would be our hypotenuse
Your equation should look like this:
0.7² + b² = 2.5²
Now we solve.
0.7² + b² = 2.5²
↓ ↓
0.49 + b² = 6.25
-0.49 -0.49
↓
b² = 5.76
Now, we have to use the square root in order to remove the exponent.
√b² = √5.76
↓
b = 2.4
Now, we would have to multiply 2.4 by 2
2.4 × 2 = 4.8
4.8 cm is your FINAL answer
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Answer:
3x -2y = -3
Step-by-step explanation:
The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The constant in its equation will ensure the line goes through the desired point.
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<h3>form of the equation</h3>The equation for the given line is in standard form:
ax +by = c . . . . . where a>0 and a, b, c are mutually prime
The equation of the perpendicular line can be written ...
bx -ay = c' . . . . . where c' is a new constant
For a=2, b=3, the equation of the perpendicular will be ...
3x -2y = c'
<h3>constant</h3>The constant is chosen so the given (x, y) values satisfy the equation.
3(1) -2(3) = c' = -3
<h3>equation</h3>Then the equation of the perpendicular line through point (1, 3) is ...
3x -2y = -3
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<em>Additional comment</em>
For the standard-form equation shown, the slope of the line is ...
m = -a/b
The negative reciprocal slope is ...
-1/m = -1/(-a/b) = b/a
This is the original slope equation with a and b swapped, and one of them negated.
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The graph confirms the new equation.
