Factor completely 16x2 + 40x + 25. (4x − 5)(4x − 5) (2x − 5)(2x − 5) (2x + 5)(2x + 5) (4x + 5)(4x + 5)

Answer:

(5,2)

Step-by-step explanation:

I hope that it helped you and that I solved it correctly

Answer:

-47.45$

Step-by-step explanation:

B=132.55-15x

B=132.55-15*12

B=132.55-180

B=-47.45

Answer:

Length = 80 metres and Width = 60 metres.

Step-by-step explanation:

Given

Length = 90m

Width = 50m

Required

Dimension of another rectangle with the same perimeter but larger area;

Perimeter of a rectangle is calculated as thus;

[tex]Perimeter = 2(Length + Width)[/tex]

Substitute: Length = 90m and Width = 50m

[tex]Perimeter = 2(90m+ 50m)[/tex]

[tex]Perimeter = 2(140m)[/tex]

[tex]Perimeter = 280m[/tex]

Area of a rectangle is calculated as thus;

[tex]Area = Length * Width[/tex]

Substitute: Length = 90m and Width = 50m

[tex]Area = 90m * 50m[/tex]

[tex]Area = 4500m^2[/tex]

So, the implication of this question is to get a rectangle whose perimeter is 280m and area is greater that 4500m²

Using trial by error method;

Assume length of a rectangle is 80m;

This means the width must be 60m

Calculating the perimeter

[tex]Perimeter = 2(80m+ 60m)[/tex]

[tex]Perimeter = 2(140m)[/tex]

[tex]Perimeter = 280m[/tex]

Calculating the area

[tex]Area = 80m * 60m[/tex]

[tex]Area = 4800m^2[/tex]

Since, the area of this rectangle is greater than the area of the previous rectangle. we can adopt this dimension.

Length = 80 metres and Width = 60 metres.

Note: There are other dimensions that have higher area and exact perimeter as the given rectangle in the question;

Answer:

Angle 1 and Angle 3

Step-by-step explanation:

When two lines intersect, they form two pairs of vertical angles. These angles are equal in measure, and they are directly opposite each other in the intersection. For instance, in this case, that would be angles 1 and 3, or angles 4 and 2. Since 4 and 2 aren't an option, the correct answer is angle 1 and angle 3. Hope this helps!

The angle 1 and angle 3 are vertical angles

Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. So are ∠2 and ∠4 . A pair of vertically opposite angles are always equal to each other. Also, a vertical angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.

According to question

angle 1 = angle 3 ( vertically opposite angle )

angle 2 = angle 4 ( vertically opposite angle )

Hence, angle 1 and angle 3 are vertically opposite angle.

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Answer:

Option 2

Step-by-step explanation:

Group 2 does have a greater median. And group 1 is less spread out

Answer:

5

Step-by-step explanation:

5677777273882828282929929282828828828×4=5

answer:

2*4

explanation:

2*4=8.000000000000000000000000

Answer:

[tex]\mathrm{Option \: C.}[/tex]

[tex]x \ne-3, \:4[/tex]

Step-by-step explanation:

[tex]F\left(x\right)=\frac{\left(x-4\right)\left(x+2\right)}{\left(x+3\right)\left(x-4\right)}[/tex]

[tex]\left(x+3\right)\left(x-4\right)=0[/tex]

[tex]x+3=0\\x+3-3=0-3\\x=-3[/tex]

[tex]x-4=0\\x-4+4=0+4\\x=4[/tex]

Answer:

the ratio is 16:1

Step-by-step explanation:

surface area is measured in square units, so you should square both numbers in the linear ratio to get the ratio for the surface area.

[tex]4^{2} : 1^{2} -->16:1[/tex]

Answer:

A.16:1

Step-by-step explanation:

[tex]answers \\ 1. \: \: c \\ 2. \: a \\ 3. \: d \\ 4. \: b \\ explantion \\ 1. \: \: r \: rotated \: 270.the \: r \: lies \: on \: {3}^{rd} \\ quadrant. \\ 2. \: \: r \: reflected \: to \: x. \: the \: r \: mirroring \\ to \: {1}^{st} quadrant. \\ 3. \: r \: moves \: 12 \: units \: upward. \\ 4. \: r \: scaled \: \frac{1}{5} . \: therefore \: the \: sides \: \\ scaled \: \frac{1}{5} also. \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment..[/tex]

Answer:

150°

Step-by-step explanation:

to find the individual angle of a REGULAR dodecagon (which means that all sides are equal), you'd use the equation I(individual angle)= (n-2)×180/n

N is number of sides. The number of sides on a dodecagon is 12. So, substitute N for 12

I= (12-2)×180/12 which simplifies to 10×180/12

10×180= 1800

1800/12 = 150

so, an individual interior angle of a dodecagon is 150°

Answer:

30

Step-by-step explanation:

(5+2)=7

9x3=27

2^3=8

7^2 - 27 + 8 (evaluate)

7^2=49

49 - 27 + 8 (calculate)

=30

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]2 (a + 3)[/tex]

[tex]a=3[/tex]

[tex]2(3+3)[/tex]

[tex]2(6)[/tex]

[tex]=12[/tex]

Answer:

2 (3) + 6

Step-by-step explanation:

2( a + 3)    if   (a = 3)

then now is 2( 3 + 3 )

3+3 = 6........6  times 2 = 12

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

❌: 2(3) = 2 x 3 = 6  ←← not 12

❌: 5(3) = 5 x 3 = 15 ←← not 12

❌: 2(3)+3 = 2 x 3 = 6.... 6 + 3 = 9 ←← not 12

✅: 2(3)+6 = 2 x 3 = 6.... 6 + 6 = 12 ←← its 12

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

have a good day!

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Answer:

I think the D number is correct(squaring on both side)

Answer:

19.8

Step-by-step explanation:

You have to first put the numbers into ascending order:

8.4, 9.3, 11.4, 18.5, 19.6, 20, 26.1, 32.3, 44.1, 46.41.

Because there is an even amount of numbers, you end up with 19.6 and 20.

The in between of 19.6 and 20 is 19.8.

(You can work this out by adding the two numbers together and then dividing by two if you have to.)

Answer:

D

Step-by-step explanation:

The point is on 4 so it cannot be A or B, and it is a closed circle not an open circle so it cannot be C.

Answer:

x≥4

Step-by-step explanation:

There is a closed circle at 4  which means there is an equal to sign and the lines goes to the right which means greater than

x≥4

Answer:

The answer is A  triangle with 45 degrees, 45 degrees, and 90 degrees

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

to solve this you can just subtract 1 from 37 which is 36 and divide it by 6 which is 6.

Answer:

[tex] - 12[/tex]

Step-by-step explanation:

[tex]x + 4x + 3 \: \: \: \: if \: \: \: \: x = - 3 \\ now \\ ( - 3) + 4( - 3) + 3 \\ - 3 - 12 + 3 = - 12[/tex]

the answer is 3628800    

The solution to the equation "1x2x3x4x5x6x7x8x9x10" is 362,880.

This is a factorial, which is the product of all the positive integers less than or equal to a given number. In this case, the factorial is 10!, which is the product of all the positive integers less than or equal to 10.

To calculate 10!, use the following formula:

n! = n × (n - 1) × (n - 2) × ... × (3) × (2) × (1)

where n is the number to be taking the factorial of.

In this case, n = 10, so:

10! = 10 × (9) × (8) × (7) × (6) × (5) × (4) × (3) × (2) × (1) = 362,880

Therefore, 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 = 362,880.

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Answer:

D. Median

Step-by-step explanation:

I say this because  is the average of the numbers

Answer:

equation of a line= y-y¹=m(x-x¹)

y--1.8=7(x-0)

y+1.8=7x-0

y+1.8=7x

y=7x+1.8

Answer:

All squares are parallelograms, and all rectangles are quadrilaterals are both true

Step-by-step explanation:

Answer:

The answer is a and d

a) All squares are parallelograms

d) All rectangles are quadrilaterals

hope i helped!

Answer:

(40/3)*pi

Step-by-step explanation:

lets first find the area of the little circle

A=pi*r^2

A=pi*3^2

A=9pi

Now, lets find the area of the big circle

A=pi*r^2

A=pi*(3+4)^2

A=pi*7^2

A=49pi

now lets subtract the area of the little circle from the area of the big circle

49pi-9pi=40pi, now we found the area of the "bagel)

lets find what portion of the bagel is the shaded region

120/360=1/3

now lets multiply the bagel area by the fraction

40pi*(1/3)=

(40/3)*pi   or  (40*pi)/3

Area of the shaded regions is equal to 7π/3

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here: radius of the smaller circle= 3 and larger circle =4 cm

Now A = (θ/360°) × πr2

θ is the sector angle subtended by the arcs at the center (in degrees), r is the radius of the circle. If the subtended angle θ is in radians, the area is given by, A = 1/2 × r² × θ.

Thus we have  Area ADBC= 1/2 × 16×2π/3 -1/2×9×2π/3

                                              =16π/3 -3π

                                               =7π/3

Hence, Area of the shaded regions is equal to 7π/3

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Answer: See below

Step-by-step explanation:

1. For this problem, you see that it's 5². The only problem that displays 5² is A². Now, there is a ×3 after that. That means there is 3 of 5². If you are still not sure, you can solve the problem.

5²×3=25×3=75

A shows 75.

-----------------------------------------------------------------------------------------------------------------

2. You need to first distribute each factor and then combine like terms.

-14a+10b+20a-32b+2

6a-22b+2

B

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3. You need to first distribute each factor and then combine like terms.

-6n+30+18n-12

12n+18

D

Answer:

20,480

Step-by-step explanation:

5x2^12

Answer:

20480

Step-by-step explanation:

got it right on edge

Answer: angles 1 and 7

Answer:

a. 2/5 and 2:3

b.  

c. 6

d. 40% and 60%

Step-by-step explanation:

a) The ratio of lemon juice to water as a fraction can be expressed as: 2/3.

b) The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice,  is: 2.25 cups

c) The amount of lemon juice Sarah should add to 9 cups of water is: 6 Cups

d) 40% of the lemonade is lemon juice, and 60% is water.

e) She should increase the ratio to 3:2

f) Yes, Sarah would need more lemon juice than water to make the lemonade stronger.

a. The ratio of lemon juice to water as a fraction can be expressed as: 2/3.

b. The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice,  is solved as:

1¹/₂ cups of lemon / water = 2/3

³/₂ cups of lemon / water = 2/3

Cross multiply to get:

water = 9/4

water = 2.25 cups

c. The amount of lemon juice Sarah should add to 9 cups of water is as follows:

lemon juice / 9 = 2/3

Cross multiply to get:

lemon juice = 18 / 3

lemon juice = 6 cups

d. The percentage of lemon juice and water in the lemonade if the total volume is 5 cups is:

Lemon juice: (2/5) * 100% = 40%

Water: (3/5) * 100% = 60%

e. What Sarah can do is to increase the ratio of lemon juice to water. One possible ratio could be 3 parts lemon juice to 2 parts water, or 3:2.

f. Yes, Sarah would need more lemon juice than water to make the lemonade stronger.

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Answer:

Step-by-step explanation:

5.25x +6 =74.25

5.25x = 74.25 -6

5.25x =68.25

x = 68.25÷5.25

x = 13

Answer:

x=13

Step-by-step explanation:

1) Subtract 6 from both sides.

2) Divide by 5.25 on both sides to get x on its own.

[tex]5.25x+6=74.25\\5.25x+6-6=74.25-6\\5.25x=68.25\\\frac{5.25x}{5.25} = \frac{68.25}{5.25} \\x=13[/tex]