Which binomial is a factor of 9x^2+ 24xy + 16y^2

Answer: sorry I can't help you

Step-by-step explanation: because the picture won't show up.

Answer:

x  =  2  cm

y  = 2  cm

A(max) =  4 cm²

Step-by-step explanation: See Annex

The right isosceles triangle has two 45° angles and the right angle.

tan 45°  =  1  =  x / 4 - y        or     x  =  4  -  y     y  =  4  -  x

A(r)  =  x* y

Area of the rectangle as a function of x

A(x)  =  x  *  (  4  -  x )       A(x)  =  4*x  -  x²

Tacking derivatives on both sides of the equation:

A´(x)  =  4 - 2*x             A´(x)  =  0            4   -  2*x  =  0

2*x  =  4

x  =  2  cm

And  y  =  4  - 2  =  2  cm

The rectangle of maximum area result to be a square of side 2 cm

A(max)  = 2*2  =  4 cm²

To find out if A(x) has a maximum in the point  x  =  2

We get the second derivative

A´´(x)  =  -2           A´´(x)  <  0   then A(x) has a maximum at  x = 2

The maximum area of the rectangle inscribe in the right isosceles triangle

is [tex]\rm \bold{4\;cm^2}[/tex]

Given that a rectangle is to be inscribed in an isosceles triangle

As per the attached figure we can write the following

Let ΔABC  represents the isosceles triangle from the given data in the question we can write the following observations

Length of AB = 4

Length of BC = 4

∠ACB = 45°

∠BAC = 45°

Length of AC = [tex]\rm 4\sqrt2[/tex]

We have to consider a rectangle within the isosceles triangle such that  

area of rectangle is maximum

The area of rectangle is given by equation (1)

[tex]\rm Area \; of \; rectangle = Length \times Breadth ........(1) \\[/tex]

Let the area of rectangle inscribed by the isosceles triangle is " A"

Let the lenght of the rectangle be "x "

Let the width of the rectangle be " y "

So according to equation (1) the area of rectangle inscribed into the triangle is given by

[tex]\rm A = x \times y.......(2)[/tex]

In ΔAED we can write

[tex]\int\limits^a_b {x} \, dx \rm tan 45= \dfrac{Perpendicular}{Base } = \dfrac{4-y}{x} \\1 = \dfrac{4-y}{x} \\ x = 4-y .......(3) \\[/tex]

From equation (2) and (3) we get

[tex]\rm A = (4-y)(y) \\A = 4y -y^2......(4)[/tex]

On differentiating the given function with respect to y we get

[tex]\rm A' = 4- 2y \\[/tex]

On putting A' =0 we get

[tex]\rm 4-2y =0 \\2y = 4\\y = 2[/tex]

A'' is negative hence it is the maximum value of y

So we can conclude that the maximum value of y is 2

So from equation (4) the maximum area is [tex]\rm 2\times 2 = 4\; cm^2[/tex]

The maximum area of the rectangle inscribe in the right isosceles triangle

is [tex]\rm \bold{4\;cm^2}[/tex]

For more information please refer to the link given below

https://brainly.com/question/541676

Answer:

81.64 Inches

Step-by-step explanation:

Given :

Diameter of wheel =26 inches

Radius of wheel (r)=26/2=13 inches

Circumference (C) of wheel can be calculated as :

C=  2πr

C=6.28(13)

C=81.64 Inches

Answer:

74.8 ft÷3.4 inches=264

2.1 in x 264=46.2 inches so the width should be 46.2 inches

Answer:

a) El procedimiento queda resumido en lo que sigue:

1) Se halla el área de la base del cuadrilátero.

2) Se multiplica el resultado anterior por la longitud del prisma.

b) La expresión para calcular el volumen del prisma ([tex]V[/tex]), en unidades cúbicas, es:

[tex]V = w\cdot h \cdot l[/tex]

Donde:

[tex]w[/tex] - Ancho de la base, en unidades.

[tex]h[/tex] - Altura de la base, en unidades.

[tex]l[/tex] - Longitud del prisma, en unidades.

Step-by-step explanation:

a) Dimensionalmente hablando, la unidad de volumen es igual al cubo de la unidad de longitud. Se explica a continuación los pasos necesarios para el cálculo de prisma cuadrangular:

1) Se halla el área de la base del cuadrilátero.

2) Se multiplica el resultado anterior por la longitud del prisma.

b) En consecuencia, se deriva la expresión para el volumen del prisma:

[tex]V = A\cdot l[/tex] (1)

Donde:

[tex]A[/tex] - Área de la base del prisma, en unidades cuadradas.

[tex]l[/tex] - Longitud del prisma, en unidades.

[tex]V = w\cdot h \cdot l[/tex] (2)

Donde:

[tex]w[/tex] - Ancho de la base, en unidades.

[tex]h[/tex] - Altura de la base, en unidades.

Answer:

D is the answer to the question

Answer:

75.3074525 dgrees

Step-by-step explanation:

law of sines

29/sin(115 degrees) = 13/sin(B)

==> B = 0.418374736 rad

or 75.3074525 dgrees

Answer:

50 %

Step-by-step explanation:

Please mark me as the brainlist

Answer:

answer is 37.5%

Step-by-step explanation:

the only prime numbers after adding are

4+9= 13

4+7=11

3+8=11

place the sum # of prime numbers over the total some of numbers

3÷8= 0.375

now multiply by 100 to give you in percentage

0.375 x 100% = 37.5%

Answer:

D

Step-by-step explanation:

D is the correct answer. It is a cubic function

Answer:

D

Step-by-step explanation:

It is because it is in form f(x) =ax³+cx+d.

Where the coefficients are a, b, c, and d.

The variable 'x' takes real values, and a ≠ 0 in other words.

If you're looking for the cube roots of √(3 + i ), you first have to decide what you mean by the square root √(…), since 3 + i is complex and therefore √(3 + i ) is multi-valued. There are 2 choices, but I'll stick with 1 of them.

First write 3 + i in polar form:

3 + i = √(3² + 1²) exp(i arctan(1/3)) = √10 exp(i arctan(1/3))

Then the 2 possible square roots are

• √(3 + i ) = ∜10 exp(i arctan(1/3)/2)

• √(3 + i ) = ∜10 exp(i (arctan(1/3)/2 + π))

and I'll take the one with the smaller argument,

√(3 + i ) = ∜10 exp(i arctan(1/3)/2)

Then the 3 cube roots of √(3 + i ) are

• ∛(√(3 + i )) = ¹²√10 exp(i arctan(1/3)/6)

• ∛(√(3 + i )) = ¹²√10 exp(i (arctan(1/3)/6 + π/3))

• ∛(√(3 + i )) = ¹²√10 exp(i (arctan(1/3)/6 + 2π/3))

On the off-chance you meant to ask about the cube roots of 3 + i, and not √(3 + i ), then these would be

• ∛(3 + i ) = ⁶√10 exp(i arctan(1/3)/3)

• ∛(3 + i ) = ⁶√10 exp(i (arctan(1/3)/3 + 2π/3))

• ∛(3 + i ) = ⁶√10 exp(i (arctan(1/3)/6 + 4π/3))

Answer:

Table C is the answer

Step-by-step explanation:

Answer:

x=14

y=40

Step-by-step explanation:

A parallelogram is like a rectangle 2 parallel sides are equal.

so x+3=17 and y-2=38

x+3=17

x=17-3

x=14

y-2=38

y=38+2

y=40

Answer:-55+48i

Step-by-step explanation:

Answer:

Step-by-step explanation:

73

Answer:

(2,0)

Step-by-step explanation:

Answer:

-2?

Step-by-step explanation:

use y2-y1 over x2-x1 to find the answer. So you would do -2--5/3 over 4--2. The two negitives turn into a positive. SO it is now -2+5/3 over 4+2. -2+5/3= -1/3 over 4+2=6 it is now -1/3/6 which equals -2. So I think the answer is -2. I do not know if you should trust me on this but I tried.

Answer:

The format for any quadratic equation is;

ax² + bx + c

And the quadratic formula is written as;

[tex]\frac{-b+-\sqrt{b^2 -4ac} }{2a}[/tex]

Hope this helps!

Answer:

Instalment = Loan / PVAF (r%, n)

Where r is int rate per six months & n is no. of half years

= $ 9000 / PVAF (5% , 4)

= $ 9000/ 3.5460

= $ 2538.11

Pls comment, if any further assistance is required.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ways that they are the same are.

Answer:

parameter

Step-by-step explanation:

9514 1404 393

Answer:

  A.  $26,346

Step-by-step explanation:

The cost is the sum of all of the payments made:

  cost = down payment +24×monthly payment +deposit +acquisition fee +after-lease price

  cost = $1500 +24×279 +350 +700 +17100 = $26,346

The total price of the car if you buy it after leasing is $26,346.

Answer:

3 [tex]\frac{2}{3}[/tex] inches long

Step-by-step explanation:

Find how long the paper will be by dividing 11 by 3. This will find how much 1/3 of the 11 inch paper is.

11/3

= 3 [tex]\frac{2}{3}[/tex]

So, if she cuts the paper, the paper will be 3 [tex]\frac{2}{3}[/tex] inches long

Given:

In triangle PQR, QS⊥PR, QS=x, PR=90 and RS=18.

To find:

The value of x.

Solution:

According to right triangle altitude theorem (geometric mean theorem), if an altitude of a right triangle divides the base into two segments then the square of altitude is equal to the product segments of the base.

Using right triangle altitude theorem, we get

[tex]\dfrac{QS}{PS}=\dfrac{RS}{QS}[/tex]

[tex]QS^2=RS\times PS[/tex]

[tex]x^2=18\times (90-18)[/tex]

[tex]x^2=18\times 72[/tex]

[tex]x^2=1296[/tex]

Taking square root on both sides, we get

[tex]x=\sqrt{1296}[/tex]

[tex]x=36[/tex]

Therefore, the correct option is B.

Answer:

a. 0.4 = 40% probability that your bid will be accepted

b. 0.8 = 80% probability that your bid will be accepted.

c. $15,000.

d. Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

Assume that the competitor’s bid x is a random variable that is uniformly distributed between $10,000 and $15,000.

This means that [tex]a = 10, b = 15[/tex], considering the measures in thousands of dollars.

a. Suppose you bid $12,000. What is the probability that your bid will be accepted?

Probability that the other bidder's bid is less than 12000(X < 12). So

[tex]P(X < 12) = \frac{12 - 10}{15 - 10} = \frac{2}{5} = 0.4[/tex]

0.4 = 40% probability that your bid will be accepted.

b. Suppose you bid $14,000. What is the probability that your bid will be accepted?

Probability that the other bidder's bid is less than 14000(X < 14). So

[tex]P(X < 14) = \frac{14 - 10}{15 - 10} = \frac{4}{5} = 0.8[/tex]

0.8 = 80% probability that your bid will be accepted.

c. What amount should you bid to maximize the probability that you get the property?

The upper bound of the uniform distribution, that is, $15,000.

d. Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less than the amount in part (c)? Why or why not?

Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).

Answer:

something like: 14 - (-15)

Step-by-step explanation:

Answer:

Ali surveyed 17 females.

Step-by-step explanation:

From Ali's survey:

13 females liked tennis, while 4 did not.

This means that Ali's surveyed 13 + 4 = 17 females.

How many females did Ali survey?

Ali surveyed 17 females.

Answer:

216 inches

Step-by-step explanation:

72+72+36+36=216

Answer:

There are 5 terms in the given expression.