find the product

8y^3(6y^2-7y+2)

Answer:

Perimeter [tex]\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}[/tex] units.  Area 12 square units.

Step-by-step explanation:

Perimeter: total distance around the figure.

Distance Formula:  the distance between points [tex]\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)[/tex] is

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}[/tex]

[tex]BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}[/tex][tex]CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}[/tex][tex]DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}[/tex]

The perimeter is the sum of all those segment lengths.

One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area.  (See attached image.)

The area of the large rectangle around the figure is 5 x 4 = 20 square units.

The triangles have areas 1/2 (base) (height):

A. (1/2)(1)(4) = 2 square units

B. (1/2)(3)(1) = 1.5 square units

D. (1/2)(1)(2) = 1 square unit

E. (1/2)(5)(1) = 2.5 square units

Square C.  (1)(1) = 1 square unit

Total of all the area you don't want to include:

2 + 1.5 + 1 + 2.5 + 1 = 8 square units

Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.

Answer:

1st blank = Shorter

2nd blank = shorter

3rd blank = will not

Step-by-step explanation:

Base of the box

a² + b² = c²

Lets input the numbers

32² + 8² = c²

1024 + 64 = c²

1088 = c²

Sq rt c = 32.9

32.9<34 so it will not fit.

Interior of the box

32² + 6² = c²

1024 + 36 = c²

1060 = c²

Sq root = 32.6

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

-36

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

A number n decreased by 18 is 3

This can be though of as:

N subtracted by 18 equals 3

And put into a solvable form:

N-18=3

Now lets solve for N:

N-18=3

 +18   +18

=

N=21

So this is your answer!

Hope this helps!

Answer:

7 times (*) 8

Step-by-step explanation:

Product in this case means multiplication

Answer:

560.00

Step-by-step explanation:

Answer:

560 dollars

Step-by-step explanation:

3%×4×500=60

60+500=560

Answer:

C

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 3, 1) ← 2 points on the line

m = [tex]\frac{1-0}{-3-0}[/tex] = - [tex]\frac{1}{3}[/tex]

y = - [tex]\frac{1}{3}[/tex] x ← equation of line

Answer:

no

Step-by-step explanation:

it's X= 0.5

group like terms

3x - 5x = 6 - 2 - 5

simplify the equation

-2x = -1

divide through by the coefficient of X

x = 0.5

here you go i hope this helps

Answer:

B and E

Step-by-step explanation:

The equations that represent a parabola with the focus (0,4) and the vertex (0, -6)  are 40y = [tex]x^{2}[/tex] - 240 and [tex]x^{2}[/tex] = 40 (y + 6)

A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.

The general equation of a parabola is:

[tex](y -k)^{2}[/tex] = 4a(x − h) for horizontal parabola

[tex](x - h) ^{2}[/tex]= 4a(y − k) for vertical parabola

where (h,k) denotes the vertex

a = point of focus

According to question

focus of parabola :(0,4)

vertex of parabola (h,k): (0, -6)

now, form points given

a = 4 − (-6) = 10 as x coordinates are the same.

Since the focus lies to the left of vertex, a = 10

By The general equation of a parabola :

[tex](x - h) ^{2}[/tex]= 4a(y − k) for vertical parabola

[tex](x - 0)^{2}[/tex] = 4*10(y-(-6))

[tex]x^{2}[/tex] = 40 (y + 6) --------------------- (1)

or

[tex]x^{2}[/tex] = 40y + 240

40y = [tex]x^{2}[/tex] - 240 ---------------------------(2)

Therefore , parabola can be represented by equation (1) and (2).

Hence, the equations that represent a parabola with the focus (0,4) and the vertex (0, -6)  are 40y = [tex]x^{2}[/tex] - 240 and [tex]x^{2}[/tex] = 40 (y + 6)

To know more about parabola here:

https://brainly.com/question/4074088

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Answer:

7. D:61

8. A:57

9. A: 47

Step-by-step explanation:

Quesiton 7:

To find perimeter we add all the sides together.

x+2x+2x+5=145

Combine all the x's.

5x+5=145

To isolate the constants, subtract 5 from both sides.

5x=140

Now divide both sides by 5 to isolate the x.

x=28

The questions asks for the length of AC, so to find that we need to insert our new x.

AC= 2(28)+5

56+5=61

Zeros can be observed graphically or solved for algebraically. A linear function can have none, one, or infinitely many zeros. If the function is a horizontal line ( slope = [latex]0[/latex]), it will have no zeros unless its equation is [latex]y=0[/latex], in which case it will have infinitely many.

Answer:

answer is negative

Step-by-step explanation:

2021 edge :)

Answer:

i cant answer part one cuz i dont know the methods in the last two problems but two it would be 68

Step-by-step explanation:

The number of ways Jenny can wear a blouse, a skirt, a pair of socks, and a pair of shoes will be 1920.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Jenny has six blouses, four different skirts, 20 different pairs of socks, and four pairs of shoes in her closet at the end of the week.

Then the number of the ways Jenny can wear a blouse, a skirt, a pair of socks, and a pair of shoes will be

Number of ways = ⁶C₁ x ⁴C₁ x ²⁰C₁ x ⁴C₁  

Number of ways = 6 x 4 x 20 x 4

Number of ways = 1920

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

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Answer:

Option 3

Step-by-step explanation:

tan33°=x/7

x=4.5

4.5^2+7^2=y^2

20.25+49=y^2

y=√69.25

y=8.3

Answer:

0.65

Step-by-step explanation:

The probability that a randomly selected student is in sports is 0.65.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Given that, the number of students = 100.

Total number of outcomes =100

Number of favorable outcomes =65

Now, P(Sports) = 65/100

= 0.65

The probability that a randomly selected student is in sports is 0.65.

To learn more about the probability visit:

https://brainly.com/question/11234923.

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Answer:

x ≈ 8.1233

Step-by-step explanation:

SOH CAH TOA(tangent = opposite/adjacent side)

tan (32) = x/13

=> x = tan (32) × 13

=> x ≈ 8.1233

Answer:

122

Step-by-step explanation:

64 + 58 = (l)

(l) = 122

Answer:

68°

Step-by-step explanation:

This triangle is isosceles triangle, so RQS and QSR are equal,

SRQ= 180-56-56=68

Answer:

Bro I need the problem so I can answer the question not the asnwers I need to see the question too.

Answer:

EFG possibly

Step-by-step explanation:

I think, not sure.

Answer:

I'm going to say 24. I'm 97% sure I'm correct

Answer:

the correct answer is option D

Answer:

Solving for X? would be 1

Step-by-step explanation:

32x-8-12x=22x-6

20x-8=22x-6 then subtract 20x from each side and add 6 to each side

2=2x then divide by 2 and getting 1 is x

Answer:

x=-1

Step-by-step explanation:

Answer:

5.5

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

.25

Step-by-step explanation:

distance between 0,4 is 1. The distance between _2 and _3 is minus 5. X equals.

.25

Answer : 59%

Step-by-step explanation:

Answer:

70.83

Step-by-step explanation:

srr if incorrect

Answer:

I think is B.

Step-by-step explanation:

hope its help

Answer:

Option B

Step-by-step explanation:

Given:

The height of the cylinder = 12 in

The diameter of the base of the cylinder = 8 in.

To find:

The volume of the cylinder.

Solution:

The diameter of the base of the cylinder is 8 in. The radius is half of its diameter. So,

[tex]r=\dfrac{8}{2}[/tex]

[tex]r=4[/tex]

So, the radius of the base of the cylinder is 4 in.

The height of the cylinder, h = 12 in.

Base area of the cylinder is:

[tex]B=\pi r^2[/tex]

Where, B is the base area and r is the radius.

[tex]B=\pi (4)^2[/tex]

[tex]B=16\pi [/tex]

So, the base area is [tex]16\pi [/tex] square inches.

The volume of the cylinder is:

[tex]V=\pi r^2h[/tex]

[tex]V=Bh[/tex]

Where, r is radius, h is height, B is base area.

Putting [tex]B=16\pi [/tex] and [tex]h=12[/tex], we get

[tex]V=(16\pi )12[/tex]

[tex]V=192\pi [/tex]

So, the volume is [tex]192\pi [/tex] cubic inches.

Therefore, [tex]r=4\text{ in}, h=12\text{ in},B=16\pi \text{ in}^2,V=192\pi \text{ in}^3[/tex].