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Mathematics

1 answer:

deff fn [24]2 years ago

3 0

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kelby has several pets.she has b, birds,c cats, and f frogs. in this expression b+(c+f) represents the total number of pets kelb

den301095 [7]

Answer:

The number of cats an frogs

Step-by-step explanation:

For some reason the equation has (c+f) grouped off from the rest, since in an equation the first step is to take care of things in the parentheses, first you must add the two together, and based on the description, you know that c is the number of cats and f is the number of frogs. Therefore adding them together would get the total number of cats and frogs.

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2 years ago

Identifying Slope and y-Intercept of a Line

Ira Lisetskai [31]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

y = 1 - 3x = -3x + 1

slope = -3

y-intercept at 1

y = 3x - 1

slope = 3

y-intercept at -1

x - 3 = y → y = 1x - 3

slope = 1

y-intercept at -3

x + 3 = y → y = 1x + 3

slope = 1

y-intercept at 3

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2 years ago

The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to

Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

$x^2=8y\implies y=\dfrac{x^2}8$

$y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0$

$\implies x=0,x=8\implies y=0,y=8$

The area of a semicircle with diameter $d$ is $\dfrac{\pi d^2}8$ . The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of $x$ between 0 and 8. Over this interval, $y^2=8x\implies y=\sqrt{8x}$ and $\sqrt{8x}>\dfrac{x^2}8$ , so the volume of this solid is given by the integral