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3 years ago

When can you use the quotient rule to divide?

Mathematics

1 answer:

adoni [48]3 years ago

4 0

All times. The numbers you are dividing with are quotients.

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Find the volume of the solid obtained by rotating the region bounded by the given curves about the speciﬁed axis. y = 64x−8x^2,

Mandarinka [93]

We need to get the limits first. When y = 0
0 = 64x - 8x^2
x = 0 and x = 8
The volume is
V = ∫ y dx from 0 to 8
V = ∫ (64x - 8x^2) dx from 0 to 8
V = 32x^2 - 8x^3/3 from 0 to 8
V = 682.67<span />

4 0

3 years ago

Which of the following equations represents the perpendicular bisector of WX graphed below?

kotykmax [81]

The coordinates of the 2 given points are W(-5, 2), and X(5, -4).

First, we find the midpoint M using the midpoint formula:

$\displaystyle{ M_{WX}= (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )= (\frac{-5+5}{2}, \frac{2+(-4)}{2} )=(0, -1).$

Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.

The slope of WX is $\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{2-(-4)}{-5-5}= \frac{6}{-10}= -\frac{3}{5}$ .

Thus, the slope n of the perpendicular line is $\displaystyle{ \frac{5}{3}$ .

The equation of the line with slope $\displaystyle{ n= \frac{5}{3}$ containing the point M(0, -1) is given by:

$\displaystyle{ y-(-1)=\frac{5}{3}(x-0)$

$\displaystyle{ y+1= \frac{5}{3}x$

$\displaystyle{ 3y+3=5x$

$\displaystyle{ 5x-3y-3=0$

Answer: 5x-3y-3=0

8 0

3 years ago

I would appreciate help. tyvm

GREYUIT [131]

Answer:

4) reflexive property of congruence

5) SAS theorem

6) property of Congruent triangles

Step-by-step explanation:

Given:

In ΔXYZ, line YW ⊥ XZ

Also XW≅ZW

Now

4) by reflexive property of congruence that states that any line,object or figure is congruent to itself

hence YW≅YW

5) By SAS theorem that states that if the two corresponding sides and the angle between those sides of two triangles are congruent then the two triangles are said to be congruent.

Hence ΔWXY≅ΔWZY

6) By property of Congruent triangles that states that if two triangles are congruent then their corresponding sides are also congruent.

Hence XY≅ZY !

8 0

3 years ago

Plz help ill give you branlist

mel-nik [20]

Answer:

it equal to 380 milliliters

Step-by-step explanation:

i used google Liters to Milliliters conversion

8 0

4 years ago

Rename 4,180 as hundreds and tens

My name is Ann [436]

Four thousand one hundred eighty

6 0

3 years ago