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2 years ago

Need help in geometry

Mathematics

1 answer:

DochEvi [55]2 years ago

7 0

Ebukas Definition is correct. It is all the points on the line between the two endpoints.

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A long jumper lifts off 3 m after starting his run, and lands 6 m later. When he is 8 m from the start line, he is 5 cm above an

slega [8]

Answer:

The equation of the parabola that models the path of the long jumper through the air is $y = -x^{2}+12\cdot x -27$ .

Step-by-step explanation:

Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Horizontal distance from the start line, measured in meters.

$y$ - Height of the long jumper, measured in meters.

$a$ , $b$ , $c$ - Polynomial constants, measured in $\frac{1}{m}$ , dimensionless and meters, respectively.

If we know that $(x_{1},y_{1}) = (3\,m, 0\,m)$ , $(x_{2},y_{2}) = (8\,m, 0.05\,m)$ and $(x_{3}, y_{3}) = (9\,m, 0\,m)$ , this system of linear equations is presented below:

$9\cdot a + 3\cdot b + c = 0$ (Eq. 1)

$81\cdot a + 9\cdot b + c = 0$ (Eq. 2)

$64\cdot a + 8\cdot b + c = 0.05$ (Eq. 3)

The coefficients of the polynomial are, respectively:

$a = -\frac{1}{100}$ , $b = \frac{3}{25}$ , $c = -\frac{27}{100}$

The equation of the parabola that models the path of the long jumper through the air is $y' = -\frac{1}{100}\cdot x^{2}+\frac{3}{25}\cdot x -\frac{27}{100}$ .

But we need $y$ measured in centimeters, then, we use the following conversion:

$y = 100\cdot y'$

Then, we get that:

$y = -x^{2}+12\cdot x -27$

Where $x$ and $y$ are measured in meters and centimeters, respectively.

The equation of the parabola that models the path of the long jumper through the air is $y = -x^{2}+12\cdot x -27$ .

4 0

3 years ago

What is the area?Please i need help

antiseptic1488 [7]

Answer:

Step-by-step explanation:

Base by High

then divided by 2

4 0

3 years ago

Find the values of x and y.<img src="https://tex.z-dn.net/?f=x%20%3D%2034%5Csqrt3%20y%20%3D%2017%5C%5Cx%20%3D%20y%20%3D%2034%2C%

Shalnov [3]

Answer:

The value of "x" is 34 and the value of "y" is 17.

Step-by-step explanation:

"x" is shown as 34 and "y" is shown on the rectangular shape in the number form of 17. If your trying to find the area of the rectangle the area is 578.

5 0

3 years ago

Eric took a test with 15 questions. he answered 2/5 of the questions correctly, how many did he get wrong?

givi [52]

Answer: 9

3/5's of 15 = 9

7 0

2 years ago

Berdine's Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for server p

nata0808 [166]

Answer:

The probability of the tip to be more than 200 is 0.1.

Step-by-step explanation:

As per the given data

Amount of tip Number

0-20 200

20-50 100

50-100 75

100-200 75

200+ 50

____________________

Total= 500

So what is the probability of tip to be more than 200 is given as

$P(200+)=\frac{no. \, of\,occurrence}{Total\, Number}$

From the table the value is 50 for the tip to be more than 200 where as the total occurrences are 500 so substituting values:

$P(200+)=\frac{no. \, of\,occurrence}{Total\, Number}\\P(200+)=\frac{50}{500}\\P(200+)=0.1$

So the probability of the tip to be more than 200 is 0.1.

5 0

3 years ago