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3 years ago

Simplify (6x2 - 3 + 5x3) - (4x3 - 2x2 - 16

Mathematics

1 answer:

Masteriza [31]3 years ago

8 0

Answer:

x^3 +8x^2 +13

Step-by-step explanation:

(6x^2 - 3 + 5x^3) - (4x^3 - 2x^2 - 16)

Distribute the minus sign

6x^2 - 3 + 5x^3 -4x^3 + 2x^2 + 16

Combine like terms

x^3 +8x^2 +13

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Write an equation for the line parallel to the given line that contains C C(2,6); y= -4x + 7

MrRa [10]

Answer:

$y=-4x+14$

Step-by-step explanation:

step 1

Find the slope of the given line

we have

$y=-4x+7$

This is the equation of the given line in slope intercept form

The slope is $m=-4$

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

therefore

The slope of the line parallel to to the given line is $m=-4$

step 3

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-4$

$C\ (2,6)$

substitute

$y-6=-4(x-2)$

step 4

Convert to slope intercept form

$y-6=-4(x-2)$

isolate the variable y

$y-6=-4x+8$

$y=-4x+8+6$

$y=-4x+14$

6 0

3 years ago

What is the surface area of a cuboid with length 5cm, width 3cm and height 6cm.

zavuch27 [327]

Answer:

126

Step-by-step explanation:

(2*5*3)+(2*6*3)+(2*6*5)

7 0

3 years ago

Read 2 more answers

0.05 is 1/10 the value of A. 5 B. 0.005 C. 0.5 D. 50

anastassius [24]

Answer:

Step-by-step explanation:

as 0.05 is 1/10 of a number, multiplying 0.05 by 10 will give you the number that when divided by 10 will give you 0.05. Hence just multiply 0.05 by 10 and you get 0.5.

8 0

3 years ago

If a = 5, b = 4, and c = 7, find the value for 3(b + a) = c. 10 15 34 20

Debora [2.8K]

Answer:

Step-by-step explanation:

3 (b + a) = c

3 (4 + 5) = 7

12 + 15 = 7

27 = 7

27 - 7

7 0

3 years ago

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Find equations of the spheres with center(1, −1, 6)that touch the following planes.a) xy-planeb) yz-planec) xz-plane

Misha Larkins [42]

Given :

Center of sphere , C( 1 , -1 , 6 ) .

To Find :

Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .

Solution :

Distance of the point from xy-plane is :

d = 6 units .

So , equation of circle with center C and radius 6 units is :

$(x-1)^2+(y-(-1))^2+(z-6)^2=6^2\\\\(x-1)^2+(y+1)^2+(z-6)^2=36$

Distance of point from yz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

$(x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1$

Distance of point from xz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

$(x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1$

Hence , this is the required solution .

4 0

3 years ago

Simplify (6x2 - 3 + 5x3) - (4x3 - 2x2 - 16​

Simplify (6x2 - 3 + 5x3) - (4x3 - 2x2 - 16