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2 years ago

Create a trinomial that can be factored and write it in standard form.

Mathematics

1 answer:

Sedbober [7]2 years ago

5 0

Hello :
<span>a trinomial that can be factored is : (x-1)(x+2)
</span>the <span>standard form is : x²+x-2</span>

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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

2 years ago

Find the scale factor of the dilation. Then tell whether it is enlargement or reduction.

mariarad [96]

Answer:

a) 1/2; reduction

b) 5/4; enlargement

Step-by-step explanation:

In each case, the scale factor is CP'/CP. When it is more than 1, the dilation is an enlargement.

Even before you run the numbers, you can tell if it is an enlargement or not. If the dilated figure is larger, P is closer to C than is P'. If P' is closer to C, then it is a reduction.

a) CP'/CP = (4-2)/4 = 2/4 = 1/2 . . . . a reduction

b) CP'/CP = 25/20 = 5/4 . . . . an enlargement

4 0

3 years ago

The bakers healthy baker can make 280 bagels in 10 hours. how many bagels can they bake in 15 hours? what was that rate per hour

Paraphin [41]

Hello there.

The bakers healthy baker can make 280 bagels in 10 hours. how many bagels can they bake in 15 hours? what was that rate per hour
Answer: First you should calculate the rate per hour.
280 / 10 = 28.
In one hour the baker can make 28 bagels.
Multiply the one hour amount by 15.
28 x 15 = 420.

In short, Your answer is the baker can make 420 bagels in 15 hours and it is 28 bagels per hour.

Hope This Helps You!
Good Luck Studying ^-^

7 0

3 years ago

Read 2 more answers

No links, downloads, or anything of the sort. I will give brainliest!!!

TiliK225 [7]

Answer:

The answer is D

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Which of the following will result in a rational answer? multiplying pi by a fraction, adding the square root of a non perfect s

katen-ka-za [31]

Multiplying a fraction by a repeating decimal since a fraction is rational and a repeating decimal is rational (repeating numbers will always be rational). Rational number time rational number=rational Pi is an irrational number since the numbers are not repeating (3.1415926535 no repeating numbers as opposed to 0.3333333333333333333 or 0.1919191919)

8 0

3 years ago