1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DIA [1.3K]
3 years ago
12

According to the graph, what is the value of the constant in the equation below?

Mathematics
1 answer:
kow [346]3 years ago
5 0

Option B: 50 is the value of the constant.

Explanation:

From the graph, the coordinates are (4,12.5) , (5,10) , (10,5) and (20,2.5)

Where the x coordinates denotes the width and the y - coordinates denotes the height.

Also, given that Height =\frac{ { Constant }}{{ Width }}$

We need to determine the value of the constant

<u>Value of the constant:</u>

The value of the constant can be determined using the formula,

Height \times weight=Constant

Since, all the coordinates lie on the same line, then all the coordinates have the constant.

Substituting the coordinate (4,12.5) in the above formula, we get,

4\times 12.5=Constant

       50=Constant

Therefore, the value of constant is 50.

Hence, Option B is the correct answer.

You might be interested in
A car travels 17 miles on one gallon of gas.
Margarita [4]

Answer:

y*17x

Step-by-step explanation:

y is a gallon so LEARN!

7 0
4 years ago
Which expression is equivalent to the one in the picture?
Ne4ueva [31]

Answer:

d.

Step-by-step explanation:

To convert a root to a fraction in the exponent, remember this rule:

\sqrt[n]{a^{m}}=a^{\frac{m}{n}}

The index becomes the denominator in the fraction. (The index is the little number in front of the root, "n".) The original exponent remains in the numerator.

In this question, the index is 4.

The index is applied to every base in the equation under the root. The bases are 16, 'x' and 'y'.

\sqrt[4]{16x^{15}y^{17}} = (\sqrt[4]{16})(\sqrt[4]{x^{15}})(\sqrt[4]{y^{17}}) = (2)(x^{\frac{15}{4}}})(y^{\frac{17}{4}}) = 2x^{\frac{15}{4}}}y^{\frac{17}{4}}

To find the quad root of 16, input this into your calculator. Since 2⁴ = 16, \sqrt[4]{16} = 2.

For the "x" and "y" bases, use the rule for converting roots to exponent fractions. The index, 4, becomes the denominator in each fraction.

2x^{\frac{15}{4}}y^{\frac{17}{4}}

5 0
4 years ago
Is -8-2(3+2n)+7n equivalent to -30-13n. Explain why or why not.
seropon [69]

No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

Step-by-step explanation:

Let us revise the operation of the negative and positive numbers

  • (-) + (-) = (-)
  • (-) × (-) = (+)
  • (-) + (+) = the sign of greatest [(-) if the greatest is (-) or (+) if the greatest is (+)]
  • (-) × (+) = (-)
  • (-) - (+) = (-)
  • (+) - (-) = (+)

∵ The expression is -8 - 2(3 + 2n) + 7n

- Simplify it

∵ 2(3 + 2n) = 2(3) + 2(2n) = 6 + 4n

∴ -8 - 2(3 + 2n) + 7n = -8 - (6 + 4n) + 7n

- Multiply the bracket by (-)

∴ -8 - (6 + 4n) + 7n = -8 - 6 - 4n + 7n

- Add the like terms

∴ -8 - (6 + 4n) + 7n = (-8 - 6) - 4n + 7n

∴ -8 - (6 + 4n) + 7n = -14 + 3n

∴ -8 - 2(3 + 2n) + 7n is equivalent to -14 + 3n

∵ -14 + 3n ≠ -30 - 13n

∴ -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

Learn more:

You can learn more about the directed numbers in brainly.com/question/10364988

#LearnwithBrainly

8 0
3 years ago
Simplify (x^-5) (x^2)*​
Pani-rosa [81]

Answer:

1/x^3

Step-by-step explanation:

foil method

6 0
3 years ago
What is the measure of an interior angle of a regular 12-gon?
gavmur [86]

Answer:

The measure of an interior angle of a regular 12-gon is 150°.

Hence, option 'C' is correct.                          

Step-by-step explanation:

We need to determine the measure of an interior angle of a regular 12-gon.

  • We know that the number of sides in a regular 12-gon = n = 12

Thus,

Using the formula to determine the measure of an interior angle of a regular 12-gon is given by

(n - 2) × 180° = n × interior angle

substitute n = 12

(12 - 2) × 180 = 12 × interior angle

10 × 180 = 12 × interior angle

Interior angle = (10 × 180) / 12

                      = 1800 / 12

                      = 150°

Therefore, the measure of an interior angle of a regular 12-gon is 150°.

Hence, option 'C' is correct.                          

4 0
3 years ago
Other questions:
  • 2a2b3 and -4a2b3 are like terms.<br><br> True<br> False
    14·2 answers
  • Jane Roznowski wants to invest some money now to buy a new tractor in the future. If she wants to have ​$250,000 available in 4
    12·2 answers
  • A dependent system of equations is a system with ________________
    11·1 answer
  • How long is 3/4 of an hour
    12·2 answers
  • A local farm has raised $3,300 from their annual maple syrup festival. The owner of the farm decided to invest this money into a
    6·1 answer
  • Which expression indicates 10 subtracted from 9n?
    6·2 answers
  • 9d-2d+4d=32 <br> Need help
    5·1 answer
  • After 10 minutes a place was 75 miles
    12·1 answer
  • Without using a calculator, choose the statement that best describes the square root of <br> 174.
    15·1 answer
  • I-ready math pls help
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!