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3 years ago

What is an equation for a parabola that has x-intercepts of (0,0) and (105,0) and a steepness of 1/3?

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

8 0

x-intercepts of (0,0) and (105,0) , is another way to say it has solutions of x = 0 and x = 105, so then

$\bf \begin{cases} x=0\implies &x=0\\ x=105\implies &x-105=0 \end{cases}\qquad \qquad \implies \stackrel{stretch/shrink\qquad \qquad }{\stackrel{\downarrow }{\cfrac{1}{3}}(x)(x-105)=\stackrel{y}{0}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \cfrac{1}{3}x^2-35x=y~\hfill$

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Answer:

Step-by-step explanation:

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3 years ago

un rectangulo tiene 28 cm de perimetro y unos de sus lados mide 4 cm ¿cuantos cuadrados de 2 cm por lado se mecesitan para armar

seraphim [82]

Answer:

10 cuadrados

Step-by-step explanation:

Si uno de los lados de rectangulo es de 4cm entonces el lado parallelo tambien es de 4cm. Eso nos da 8cm del perimetro y nos quedan los otros dos lados que tienen la misma medida. Entonces dividimos el resto del perimetro por 2.

28 - 8 = 20cm

20cm / 2cm = 10cm

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10cm * 4cm = 40 $cm^{2}$

el cuadrado de 2cm tendra un area de

2cm * 2cm = 4 $cm^{2}$

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3 years ago

Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in

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The model in which the lateral surface meets the base at right angle is : Model 1.

<h3>What is a lateral surface?</h3>

The lateral surface of an object is all surfaces of that object excluding its base and top.

Analysis:

To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.

For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.

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2500 = 196 + 2304

2500 = 2500. Forms Pythagorean triplet

Model 2

Diagonal= 37cm, radius = 6cm lateral height = 35cm

$(37)^{2}$ = $(35)^{2}$ + $(6)^{2}$

1369 = 1225 +36

1369 $\neq$ 1261

Model 3

Diagonal = 60cm, radius = 20cm lateral height = 40cm

$(60)^{2}$ = $(20)^{2}$ + $(40)^{2}$

3600 = 400 + 1600

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In conclusion, the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.

Learn more about Pythagorean triplet: brainly.com/question/20894813

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ale4655 [162]

We are given:

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From the given statement, we can say that:

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We can see that we now have a quadratic equation, solving using splitting the middle term

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Here, we can divide both sides by either (n-12) OR (n+14)

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(n + 14) = 0/(n-12) (n-12) = 0/(n+14)

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