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3 years ago

Which of the following ratios is equivalent to 2:3?

Mathematics

2 answers:

Len [333]3 years ago

8 0

Answer:

14:21

Step-by-step explanation:

Free_Kalibri [48]3 years ago

4 0

Answer:

14:21

Step-by-step explanation:

Think of it as equal fractions, if that helps.

Finding an equivalent fraction is the same as finding an equivalent ratio.

If you multiply both the numerator and denominator of 2/3 or 2:3 by the same number, you'd get an equivalent fraction/ratio.

2 multiplied by 7 is 14, 3 multiplied by 7 is 21. So, 2:3 and 14:21 are equivalent.

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Find the vertex and length of the latus rectum for the parabola. y=1/6(x-8)^2+6

Ivan

Step-by-step explanation:

If the parabola has the form

$y = a(x - h)^2 + k$ (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

$y = \dfrac{1}{6}(x - 8)^2 + 6$

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

$\text{focus} = (h, k +\frac{1}{4a})$

where $\frac{1}{4a}$ is called the focal length or distance of the focus from the vertex. So from our equation, we can see that the focal length <em>f</em> is

$f = \dfrac{1}{4(\frac{1}{6})} = \dfrac{3}{2}$

By definition, the length of the latus rectum is four times the focal length so therefore, its value is

$\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6$

5 0

3 years ago

Mr. Jameson will stain the deck in his backyard the deck has an area of 752.4 square feet if the deck is 33 ft long how wide is

Sergio039 [100]

752.4/33 = width
Plug that into your calculator and you'll get the answer.
Justification: legnth times width = area, so area divided by length = width

8 0

4 years ago

WHAT IS X IF THE EQUATION IS X - 3 = 6?

cestrela7 [59]

Answer:

Step-by-step explanation:

You substitute 9 for x and 9 - 3 = 6

I hope it helps! Have a great day!
Muffin ^^

4 0

3 years ago

Read 2 more answers

A person invests 9000 dollars in a bank. The bank pays 4.25% interest compounded daily. To the nearest tenth of a year, how long

mezya [45]

Answer:

The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.

Step-by-step explanation:

4 0

3 years ago

Solve the following 3+X=7

trapecia [35]

Answer:

x = 4

Step-by-step explanation:

3 + x = 7 ( isolate x by subtracting 3 from both sides )

x = 7 - 3 = 4

3 0

2 years ago

Read 2 more answers