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2 years ago

Determine if

Mathematics

1 answer:

Gnesinka [82]2 years ago

7 0

The values of a and b are 1/4 and 1/5 respectively

<h3>How to determine the true statement?</h3>

The function is given as:

16x^2 - 25y^2 = 1

The above function is a horizontal hyperbola.

A horizontal hyperbola that passes through the origin is represented as:

$\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$

Rewrite 16x^2 - 25y^2 = 1 as

$\frac{x^2}{1/16} - \frac{y^2}{1/25} = 1$

By comparison, we have:

$a^2 = \frac{1}{16}$

$b^2 = \frac{1}{25}$

Solve for a and b

$a = \frac{1}{4}$

$b = \frac{1}{5}$

Hence, the values of a and b are 1/4 and 1/5 respectively

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Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4). Determine whether or not triangle PQR is

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Answer:

it's a right angled triangle

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3 years ago

Help for 15 points!! AND brainliest answers

Ede4ka [16]

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( to the nearest cent).

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3 years ago

Lisa drove 240 miles, then increased her speed by 20 miles per hour for 540 miles. If the second part of the drive took 3 hours

Sever21 [200]

Let u be speed while Lisa drove 240 miles and t be the time in completing 240 miles.

We have been given that Lisa increased her speed 20 mph than initial speed over next 540 miles. So her speed on next 540 miles will be $u+20$ mph.

Further more we are given that she took 3 hours more to complete the next 540 miles of the trip than she took in completing initial 240 miles. So she took $(t+3)$ hours in completing next 540 miles.

Since we know $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

Now we will substitute our given values in our equation and find out the unknowns. After substitution we will get two equations and two unknowns.

$u=\frac{240}{t}.........(1)\\
\\
(u+20)=\frac{540}{t+3}........(2)$

Now we will substitute equation 1 in equation 2

$(\frac{240}{t}+20)=\frac{540}{t+3}$

Upon solving this equation, we get

$t=6$

Therefore, total time for Lisa to complete the entire trip is 6+6+3 = 15 hours.

And we know that total distance covered is 240+540 = 780 miles

Hence, average speed

$=\frac{\text{Total Distance}}{\text{Total Time}} = \frac{780}{15} = 52 \text{ miles per hour}$

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3 years ago

The music teacher would like to have the same number of girls and of boys in the chorus. She finds that 5 8 of the chorus are g

ExtremeBDS [4]

106 students are in chorus.

About 110/200 students are in chorus.

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3 years ago

What is the value of (5.3x10^4)(4.2x10^3)l

Alenkinab [10]

Answer:

scientific notation = 2.226 * 10^8

Standard form = 222600000

As it is 22.26 * 10^7

Step-by-step explanation:

(5.3x10^4)(4.2x10^3)

Since all the numbers are being multiplied by each other, one can use the associative property to change the order in which they are multiplied.

5.3 x 10^4 x 4.2 x 10^3

= 5.3 * 4.2 * 10^4 * 10^3

= 22.26 * 10^7

Either convert back to scientific notation, standard form or keep as it is.

scientific notation = 2.226 * 10^8

Standard form = 222600000

As it is 22.26 * 10^7

3 0

3 years ago