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2 years ago

A 2.1 cm 2.9 cm Find the value of a.

Mathematics

1 answer:

andreev551 [17]2 years ago

3 0

Step-by-step explanation:

$a = \sqrt{ {2.9}^{2} - {2.1}^{2} } = \\ = \sqrt{8.41 -4.41 } = \\ \sqrt{4 } = 2$

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What is a radius of a circle given by the equation x²-2x+8y-47=0

Zolol [24]

First, we are going to rewrite it as a parabola equation.
Rewrite.
$8y=-x^2+2x+47$
Divide by 8.
$y=-\frac{x^2}{8}+\frac{x}{4}+\frac{47}{8}$
Factor out coefficient.
$y=-\frac{1}{8}\left(x^2-2x\right)+\frac{47}{8}$
Then, we are going to convert x into square form.
$y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Convert the whole expression into square form.
$y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Simplify.
$y=-\frac{1}{8}\left(x-1\right)^2+6$
Subtract 6 from both sides.
$y-6=-\frac{1}{8}\left(x-1\right)^2$
Divide by coefficient.
$-8\left(y-6\right)=\left(x-1\right)^2$
Rewrite in standard form.
$4\left(-2\right)\left(y-6\right)=\left(x-1\right)^2$

The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive.
Have a nice day! :)

7 0

3 years ago

Read 2 more answers

Segment AB has point A located at (6, 5). If the distance from A to B is 5 units, which of the following could be used to calcul

sesenic [268]

The expression $5 = \sqrt{(x-6^2)+(y - 5)^2}$ can be used to find the coordinate of Point B. Option C is correct.

Given that,
Segment AB has point A located at (6, 5). If the distance from A to B is 5 units, which of the following could be used to calculate the coordinates for point B is to be determined.

<h3>What is the equation?</h3>

The equation is the relationship between variables and represented as y = ax +c is an example of a polynomial equation.

Let the coordinates of B be (x, y)
Now the distance between A (6, 5) and B (x, y) is c = 5 units
So, by the distance formula, the distance between two points is given as,

$C = \sqrt{(x_1-x_2)^2 +(y_1-y_2)^2}$

now put the value in the formula.

$5 = \sqrt{(x-6^2)+(y - 5)^2}$

Thus, expression $5 = \sqrt{(x-6^2)+(y - 5)^2}$ can be used to find the coordinate of Point B. Option C is correct.

Learn more about equation here:

brainly.com/question/10413253

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1 year ago

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2 years ago

An object is hanging by a string from your rearview mirror. While you are decelerating at a constant rate from 25 m/s to rest in

lidiya [134]

The rate of deceleration is equal to 25 m/s / 6 s = 25/6 m/s^2.

(a) The string should be angled in such a way that the horizontal acceleration is equal to 25.6 and the vertical acceleration is equal to gravitational acceleration. Using trigonometry,Angle from the vertical = arctan(25/6 / 9.8) = 23.03 degrees.

(b) Since the car is decelerating, one end of the string attached to the car is pulled back and because of the inertia of the object it is goes on the opposite direction and so the object moves toward the windshield.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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3 years ago

Although the actual amount varies by season and time of day, the average volume of water that flows over the falls each second

NikAS [45]

1sec = 3.6 x 10^5gallons
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2 years ago