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andrezito [222]
3 years ago
15

What is an equation of the line that passes through the point

Mathematics
1 answer:
Ahat [919]3 years ago
3 0

Step-by-step explanation:

Parallel lines have the same slope.

x -3y = 21

y = (21-x)/-3 ==== y = 1/3x -7

Substitute the values,

y = mx + c

5 = (1/3)(-6) + c

5 = -2 + c

c = 7

Thus, the equation is y = 1/3x + 7

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The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distan
OleMash [197]

Answer:

S_g=  33.333cm

Step-by-step explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

    S_g=\frac{a(1-r^n)}{1-r}

Mathematically solving for total distance traveled we have

    S_g=\frac{30(1-(0.10^5)}{1-(0.10)}

    S_g=\frac{30}{0.9}

Therefore the total distance traveled  by the pendulum after 5 swings

    S_g=  33.333cm

3 0
3 years ago
Armando is baking 36 batches of brownies for the bake sale. Each batch of brownies takes cups of flour. What is a reasonable est
Goshia [24]

Answer:

Well, let's assume that "cups" = 3 cups of flour.

Step-by-step explanation:

First, multiply 3x36.

If for some reason this is incorrect, try 2 cups instead of 3. Both are reasonable measurements when it comes to baking.

8 0
3 years ago
I need to give an equation for an absolute value function that has a minimum. How do I determine that it has a minimum?.
tatyana61 [14]
To determine the minimum of an equation, we derive the <span>equation using differential calculus twice (or simply </span><span>take the second derivative of the function). If the </span><span>second derivative is greater than 0, then it is minimum; </span><span>else, if it is less than 1, the function contains the </span><span>maximum. If the second derivative is zero, then the </span><span>inflection point </span><span>is</span><span> identified.</span>
5 0
3 years ago
a plumber charges $55 for a service call plus $35 per hour. if the plumber’s bill was $160, how many hours was he there?
Allushta [10]
He was there for 3 hours cause 3 x 35 = 105 but 105 + 55 = 160
5 0
3 years ago
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We need the photo to answer the question
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3 years ago
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