Use the addition problem (3x2 4x4−4x x5) (2x−5x2 4x4 2x5) to answer the question. Which expression correctly rewrites the polynomials to help in combining like terms? Option 1: 2x3−3x2 x5 Option 2: 3x2 4x4 x5−5x2 4x4 2x5 Option 3: 3x2 x5−4x x5+4x4 x5 Option 4: 2x3−3x2 x5+4x4 x5

Answers

Related Questions

A box is to be made out of a 6 by 14 piece of cardboard. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. Find the length L, width W, and height H of the resulting box that maximizes the volume.
Solve sin 4x - cos 2x = 0.
Cynthia is standing at the center of a circular playground. Which statement is true with respect to Cynthia’s position?. . a.The distance from pole 1 to pole 3 is equal to the distance from Cynthia to pole 1.. . b.The distance from pole 1 to pole 3 is equal to the distance from pole 3 to pole 2.. . c.The distance from Cynthia to pole 3 is equal to the distance from pole 3 to pole 2.. . d.The distance from Cynthia to pole 3 is equal to the distance from Cynthia to pole 1.
If n is the average of three numbers x, 12, and 15, what is the value of x?
Polygon ABCD will be dilated by a scale factor of 2.2 with the origin as the center of dilation, resulting in the image A′B′C′D′. What will the slope and length of C'D' be?

The hypotenuse AB of a right triangle ABC is 5 ft, and one leg, AC, is decreasing at the rate of 2 ft/sec. The rate, in square feet per second, at which the area is changing when AC = 3 is?

Answers

Answer: $-(7)/(4) \quad \text{ft}^(2)/\sec$

Step-by-step explanation:

Since ABC is a right triangle, at any moment it holds that

$5^2=(AC)^2+(BC)^2$

Moreover, the area A of the triangle is given by

$A= (1)/(2)(AC)(BC)$

and we know that the rate of change of the length (AC) is

constant decreasing 2, which may be written using the Leibniz

notation as

$(d(AC))/(dt)=-2$ .

Using the chain rule and the product rule for derivation, the two

first equations tell us

that

$0 = 2 (d(AC))/(dt)(AC) + 2 (d(BC))/(dt)(BC)$

and

$(dA)/(dt) = (1)/(2) \left( (d(AC))/(dt) \cdot (BC) + (d(BC))/(dt) \cdot (AC)\right)$

Moreover, using the first of the last two equations we get

$(AC)(d(AC))/(dt) = -(BC)(d(BC))/(dt) \Rightarrow\n\n\n(AC)(-2) = -(BC) (d(BC))/(dt) \quad \Rightarrow \quad (d(BC))/(dt)=2 ((AC))/((BC))$

Now, when (AC)=3, we have that

$25=(AC)^2 + (BC)^2 \quad \Rightarrow 25 = 9 + (BC)^2\n \n\Rightarrow \quad 16=(BC)^2 \quad \Rightarrow (BC)=4$

and

$(d(BC))/(dt) = 2 ((AC))/((BC))=2 (3)/(4)=(3)/(2)$ .

Hence, at this moment the rate of change of the area of the triangle is

$(dA)/(dt) = (1)/(2) \left( (d(AC))/(dt) \cdot (BC) + (d(BC))/(dt) \cdot(AC) \right)=(1)/(2)\left( -2 \cdot 4 + (3)/(2)\cdot 3\right ) = -(7)/(4)$

okay
we have the rate of change of AC = d(AC)/dt = -2
the rate of change od BC = d(BC)/dt
area = (1/2) *AC) (BC)
taking differential on both sides we ge
d(A)/dt = 1/2){ (BC) d(AC)/dt + (AC) d(BC)/dt)}....(1)
again
when AC= 3
applying pythagorous thm
we get
(5)^2 =(3)^2 +(BC)^2
hence we get BC = 4
now we need to find d(BC)/dt
we have
(5)^2 = (AC)^2 +(BC)^2
taking differenial
0=2(AC) d(AC/dt) +2BC d(BC)/dt
that is
d(BC)/dt = -(3) *(-2)/4 ..(at AC =3)
hence
d(BC)/dt = 3/2
substituting these values in equation (1)
d(A)/dt = (1/2) {4 * -2 + 3 *3/2}

which gives
d(A)/dt = -7/4

The rate, in square feet per second, at which the area is changing when AC = 3 is -7/4 ft/sec.

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

The surface area in square units of a cylinder with a volume of 18 cubic units is a function of its radius in units where . What is the surface area of a cylinder with a volume of 18 cubic units and a radius of 3 units

Answers

Surface area is the total area of an object's outer facing surfaces. The total surface area is calculated by adding all the areas on the surface: the areas of the object's base, top, and lateral surfaces (sides).

How to Find surface area of cylinder?

You can use r2 to replace B (area of the base), which is a type of prism with a circular base, and 2r to replace p. (perimeter of the base). The surface area of a cylinder is calculated as SA=2r2+2rh.

Therefore,

The cylinder's surface area is 264 cm2 (approximately)

3 unit is the cylinder's radius.

The cylinder's height is 18 units

To locate:

Area of contact

Having said that,

Cylinder surface area = 2r(h + r)

replacing the necessary values,

Surface area is equal to

2 x 22 /7 x 3 × 3( Plus 4)

Surface area equals 264/7 (7)

Surface area equals 1848/7

264 cm2 is the surface area.

The cylinder's surface area is 264 cm2 (about).

To learn more about surface area, refer to:

brainly.com/question/27440983

#SPJ2

Answer:

the height is 0.6367 so the surface area is 68.55

Richard's bakery sold 7 triple-chocolate birthday cakes in six weeks for 60 dollars each. The price of each cake was five times the cost of the ingredients. How much did the ingredients to make all of the cakes cost?

Answers

84! Is the correct answer. BRANLIEST? :)

Which phrase best describes the translation from the graph y=2(x-15)^2 +3 to the graph of y= 2(x-11)^2 +3

Answers

Answer:

The graph $y=2(x-15)^2 +3$ is shifted left by 4 units .

Step-by-step explanation:

Function : $y=2(x-15)^2 +3$

Rule : f(x)→f(x+b)

The graph f(x) shifts left by b units.

Now Shift the given graph left by 4 units

So, $y=2(x-15)^2 +3$ → $y=2((x+4)-15)^2 +3$ →tex]y=2((x-11)^2 +3[/tex]

Thus the shifted graph is $y= 2(x-11)^2 +3$

Thus the graph $y=2(x-15)^2 +3$ is shifted left by 4 units .

Hence the phrase best describes the translation is the graph $y=2(x-15)^2 +3$ is shifted left by 4 units and the obtained graph is $y= 2(x-11)^2 +3$

to eliminate the +2 in the first graph, it would need to move 2 units right.
to add the +3 to the first graph, it would need to move 3 units up.

2 units right and 3 units up.

Holly plans to attend community college next year her expenses are only $1,200 because her parents are paying the rest holly earned a &750 scholarship how much will she need to pay from her saving

Answers

Answer:

$1200-$750 is $450. So Holly needs to use $450 from her savings

Step-by-step explanation:

Answer: A 450

Step-by-step explanation:

Point Kis on line segment JL. Given JL = 10, KL = 4x, and JK = 2x,determine the numerical length of KL.

Answers

Answer: what you mean

Step-by-step explanation:

Answer:

Step-by-step explanation:

Other Questions

How can you use the multiplication property of equality to rewrite the equation 0.6x + 4.8 = 7.2

Mandy's kitchen measures 8 feet by 7 feet if she is making a scale drawing of 1 inch= 2 feet how many inches will she use for 7 feet

Of 10 students surveyed in a school , 7 picked Summer as their favorite season. If the school has 350 students. How many can be expected to perfer summer?

Layla drew a quadrilateral with four right angles and two pairs of opposite sides are parallel name to quadrilaterals she could've drawn