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3 years ago

Based on the diagram, which expresses all possible lengths of segment AB?

Mathematics

1 answer:

ZanzabumX [31]3 years ago

4 0

Answer:

You need to link a diagram

Step-by-step explanation:

Try taking a screenshot or picture and attach it to the question so we can actually see the diagram

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If x varies inversely as y 2, and x = 2 when y = 20, find x when y = 5.

Dominik [7]

Step-by-step explanation:

$x = \frac{k}{y}$

x varies inversely as y. This means that x is equal to the inverse of y which can be translated as x = 1/y but the problem said that x is not exactly equal to the inverse of y. Therefore, we need to introduce a factor k. Factor k will represent the word "varies" in the problem.

To illustrate:

$x = \frac{k}{y}$

Since we don't have the value of k, we have to solve for it by using the first values of x and y which was given as x=2 and y=20.

$x = \frac{k}{y} \\ 2 = \frac{k}{20} \\ k = 2(20) = 40$

Now that we have the value of k, we can now solve for the value of x when y=5.

$x = \frac{k}{y} \\ = \frac{40}{5} \\ = 8$

Therefore, when y is 5, the value of x is 8.

6 0

3 years ago

How do you divide a whole number by a fraction

lord [1]

Answer:Multiply the denominator on the bottom of the fraction by the whole number you are dividing by.

To divide a fraction by a whole number, multiply the bottom of the fraction by this whole number.

The denominator on the bottom of the fraction is 7.

We will multiply 7 by 2.

7 × 2 = 14 and so, 6 / 7 ÷ 2 = 6 / 14 .

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find the common difference of the arithmetic sequence ?

Feliz [49]

Note: 25-7=18, 18-7=11, 11-7=4, and so on. Thus, -7 is the common difference.

5 0

3 years ago

The area of a rectangle is 70 m², and the length of the rectangle is 11 m less than three times the width. Find the dimensions o

11111nata11111 [884]

Step-by-step explanation:

the area of a rectangle is

length × width

in our case

length × width = 70 m²

length = 3×width - 11

we can use this second equation in the first and get

(3×width - 11) × width = 70

3×width² - 11×width - 70 = 0

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -11

c = -70

x = (11 ± sqrt((-11)² - 4×3×-70))/(2×3) =

= (11 ± sqrt(121 + 840))/6 =

= (11 ± sqrt(961))/6

x1 = (11 + 31)/6 = 42/6 = 7

x2 = (11 - 31)/6 = -20/6 = -10/3

the negative solution is not applicable for a length in an object.

so, only x1 = 7 m is our solution.

the width of the rectangle is 7 m.

the length = 3×width - 11 = 3×7 - 11 = 21-11 = 10 m

7 0

2 years ago

Simplify <img src="https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B3%7D%20%20%2B%20%20%7Bb%7D%5E%7B3%7D%20" id="TexFormula1" title="

Fed [463]

Pretty sure u can not simplify that further since there are no like terms? could be wrong

3 0

3 years ago

Read 2 more answers