Use the grouping method to express the polynomial below as product of its factors. Write each factor as a polynomial in descending order. x(5x-8)-3(5x-8)

Answer:

well, we only no that

2l + 2w is 80

(lengths and widths on all 4 sides

and that w * l is A

so the function should be w times what's left for l, but also expressed by something with w

2l + 2w = 80 | -2w

2l = 80 -2w | devide by 2

l = 80 - w

now we can substitute l in

A = w * l

so that we only need w's

A(w) = w * (80-w)

for any w it will give us the area, makes only sense for 0<w<80

Answer:

x = ±3 sqrt(2)

Step-by-step explanation:

x^2 = 18

Take the square root of each side

sqrt(x^2) = sqrt(18)

x = ± sqrt(18)

x =±sqrt(9*2)

x = ±sqrt(9) sqrt(2)

x = ±3 sqrt(2)

Answer:

Step-by-step explanation:

[tex]One \ million = 1, 000, 000\\\\Two \ hundred \ and \ fifty \ thousand = 250, 000[/tex]

Difference between one million and two hundred and fifty thousand

[tex]1,000,000[/tex]  [tex]- \ 250,000[/tex] [tex]= 750000[/tex]

International  Number System,750,000: Seven Hundred  and Fifty Thousand

Nepalis Number System,7, 50,000 : Seven Lakh Fifty Thousand

The right Answer is:

x = 4

Answer:

x=4

Step-by-step explanation:

2/3 (x − 7) = −2

Multiply each side by 3/2

3/2 *2/3 (x − 7) = −2*3/2

x-7 = -3

Add 7 to each side

x-7+7 = -3+7

x=4

Answer:

x = -6

Step-by-step explanation:

-5x + 1 = 31

Subtract 1 from each side

-5x + 1-1 = 31-1

-5x = 30

Divide by -5

-5x/-5 = 20/-5

x = -6

Answer:

x = - 6

Step-by-step explanation:

- 5 x + 1 = 31

subtract 1 from 31

- 5 x = 31 - 1

- 5 x = 30

Divide 30 by - 5

x = 30 / - 5

x = - 6

Answer:

Step-by-step explanation:

Voir le diagramme ci-attaché.

1) Distance EG

À l'aide du théoreme Pythagore, EG^2 = EF²+FG² = 4²+3² = 25

=>  EG = sqrt(25) = 5

2) Distance SO

Par la symétrie, EO=OG=(EG/2)=5/2 = 2.5

Encore, à l'aide du même théoreme,SE^2 = SO²+EO²

SO^2 = SE² - EO² = 6.5²-2.5² = 42.25 - 6.25 = 36

SO = sqrt(36) = 6  QED

3) Volume de la pyramide

V = (Aire de la base * hauteur ) /3

= (EF * FG) * SO /3

= (4*3) * 6 /3

= 24 cm³

Answer:

10x is equal to 100 so 100+6=106

then

Step-by-step explanation:

4x is equal to 8 so 4+18=22

so it's 128

Answer:

Yes, the card is a right triangle.

Step-by-step explanation:

The card is a right triangle, specifically a 3-4-5 right triangle.

A 3-4-5 right triangle is any right triangle that has side lengths in the ratio of 3:4:5.

The 3-4-5 rule says that any triangle with a side length ratio of 3:4:5 is a right triangle.

So, the card is a right triangle.

Answer:

A = 6π

Step-by-step explanation:

Expression for the area of a sector is given by,

A = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]

For θ = 240° and r = 3,

By substituting these values in the given expression,

A = [tex]\frac{240}{360}(\pi) (3)^{2}[/tex]

   = [tex]\frac{240\times 9}{360}\pi[/tex]

   = 6π

Therefore, A = 6π is the answer.

Answer:

The value of x is 4.

Step-by-step explanation:

The perimeter of the triangle is the sum of the lengths of all its sides.

The perimeter of the rectangle is twice the sum of the length and the width.

base of triangle = x

two equal sides = x + 5

length of rectangle = x - 1

width of rectangle = x + 4

According to the question,

Perimeter of triangle = perimeter of rectangle

x + x + 5 + x + 5 = 2 ( x - 1 + x + 4)

3 x + 10 = 2 (2 x + 3 )

3 x + 10 = 4 x + 6

4 x - 3 x = 10 - 6

x = 4

Answer:  Choice C.  [tex]3\sqrt{17}[/tex]

================================================

Work Shown:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(12-15)^2 + (-21-(-9))^2}\\\\d = \sqrt{(12-15)^2 + (-21+9)^2}\\\\d = \sqrt{(-3)^2 + (-12)^2}\\\\d = \sqrt{9 + 144}\\\\d = \sqrt{153}\\\\d = \sqrt{9*17}\\\\d = \sqrt{9}*\sqrt{17}\\\\d = 3\sqrt{17}\\\\d \approx 12.3693169\\\\[/tex]

I used the distance formula for those steps above.

The two points were (x1,y1) = (12,-21)  and (x2,y2) = (15,-9) but you could swap the order.

As an alternative route, you can plot the two points on the same xy grid. Then form a right triangle such that the hypotenuse is between the two points mentioned. The pythagorean theorem should lead you to the same answer as above. In fact, the distance formula is basically a modified version of the pythagorean theorem.

Answer:

C 42yd

Step-by-step explanation:

Answer:14 m

Step-by-step explanation:

Dada

larga [tex]l=20\ m[/tex]

superficie [tex]A=280\ m^2[/tex]

Suponga que el ancho es w

La superficie está dada por el producto de la longitud y la anchura.

[tex]\therefore A=lw\\\Rightarrow 280=20\times w\\\Rightarrow w=14\ m[/tex]

Por lo tanto, el ancho es de 14 m.

Answer:

meta beta

Step-by-step explanation:

diem ryugudnhkng.

Answer:

Circumference of a circle

Step-by-step explanation:

The circumference of a circle is longer than its radius of the circle.

Answer:

correct option if Option D

Answer:

The answer is B.

Step-by-step explanation:

It can't be A, C, or, D because if the polygons were in a certain position, those transformations wouldn't work.

The definition of a rigid transformation is either a translation, rotation, or reflection. Therefore it must be B.

Sorry about how vague this is. It's hard to explain this without diagrams.

Answer:

B. (2, 6)

Step-by-step explanation:

Xp = 1 + (1/6 × (7-1)) = 1 + (1/6×6) = 1+1 = 2

Yp = 8 + (1/6 × (-4-8)) = 8+(1/6×(-12))

= 8+(-2) = 6

the coordinate => (2, 6)

Answer:

180

Step-by-step explanation:

to work out all possibilities you multiple the amount of options.

4x5x9=180

Answer:

1 2/9 minutes faster

Step-by-step explanation:

Take the larger number and subtract the smaller number

8 5/9 minutes - 7 1/3 minutes

Get a common denominator

8 5/9 - 7 1/3 *3/3

8 5/9 - 7 3/9

1 2/9 minutes faster

you are driving onajor highway 94 mp

Answer:

5.0x10=50

1.50x10=15

Step-by-step explanation:

calculator

Given:

The figure of a right angle triangle.

A line segment intersect the two sides and parallel to third side of the triangle

To find:

The value of x.

Solution:

According to basic proportionality theorem, if a line segment intersect the two sides and parallel to third side of the triangle, then it divides the two sides proportionally.

Using basic proportionality theorem, we get

[tex]\dfrac{8}{20-8}=\dfrac{6}{x}[/tex]

[tex]\dfrac{8}{12}=\dfrac{6}{x}[/tex]

[tex]\dfrac{2}{3}=\dfrac{6}{x}[/tex]

On cross multiplication, we get

[tex]2\times x=6\times 3[/tex]

[tex]2x=18[/tex]

[tex]x=\dfrac{18}{2}[/tex]

[tex]x=9[/tex]

Therefore, the value of x is 9.

Answer:

C. There are two solutions: 2 and –2.

Step-by-step explanation:

Answer:

Step-by-step explanation:

we have

we know that

The solution of the function is equivalent to solve the following system of equations

 ------> equation A

 ------> equation B

The x-coordinate of the intersection point both graphs is the solution of the given function

Using a graphing tool

see the attached figure

The intersection points are  and  

therefore

The solution of the given function are

Solve x2 + 2 = 6 by graphing the related function. x^2 + 2 is a parabola with a vertex at the point (0, 2). When x = -1 or x = 1, then x^2 + 2 = 3, so we should put the points (-1,3) and (1,3) on the graph. When x = -2 or x = 2, then x^2 + 2 = 6, so we should put the points (-2,6) and (2,6) on the graph. We could continue adding points to the graph if we want, but we already have our two solutions. x^2 + 2 = 6 when x = -2 or x = 2. Therefore, x = -2, and x = 2 are the two solutions to this equation.

Answer: option C.

Step-by-step explanation:

Given  a quadratic function of the form , if the coefficient a is less than zero, then the function is opened upward.

The options A is not opened upwards, then it is not the answer.

Then the given equation  can be written as:

This function is equal to the parent function, shifted 4 units down.

Therefore, the graph that you are looking for must be a parabola that is opened upwards and has its vertex in the point (0,-4).

Then, the correct option is C. And the solution is:

Answer:

El pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.

Step-by-step explanation:

Dado que Santiago quiere comer la mitad de un pastel y Alba quiere un tercio del mismo pastel, para repartirlo bien se deben reducir las fracciones a su común denominador. Así, para determinar en cuántas partes iguales deben dividir el pastel y cuántas partes debe tomar cada uno se deben realizar los siguientes cálculos:

Santiago = 1/2

Alba = 1/3

2 x 3 = 6

Santiago = 1/2 = 3/6

Alba = 1/3 = 2/6

Por lo tanto, el pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.