Factor the expression. 4b2 – 9

(2b – 3)(2b – 3)
(2b + 3)(2b + 3)
(3b + 2)(3b – 2)
(2b + 3)(2b – 3)

Answer: y = [tex]\frac{-4}{3}[/tex]x + [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

    First we will find the slope, then we will find the y-intercept.

    Slope is change in y over change in x:

[tex]\frac{-1-3}{2--1}=\frac{-4}{3}[/tex]

    Now we will solve for the y-intercept:

y = [tex]\frac{-4}{3}[/tex]x + b

(-1) = [tex]\frac{-4}{3}[/tex](2) + b

-1 = [tex]\frac{-8}{3}[/tex] + b

[tex]\frac{5}{3}[/tex] = b

b = [tex]\frac{5}{3}[/tex]

    Final equation:

y = [tex]\frac{-4}{3}[/tex]x + [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

apothem : distance from the center of the object to the side(s).

area : 1/2 × perimeter × apothem

perimeter : 9 x side

perimeter = 9×15 in = 135 in

area = 1/2 × 135 × 20.6 = 1,390.5 in²

The perimeter and area of a nonagon with apothem of 20.6 inches and side of 15 inches are 135 inches and 1390.5 inches² respectively.

A nonagon is a polygon with 9 sides. The perimeter and area can be found as follows;

Perimeter = length of the whole sides

side length = 15 inches

P = 9 × 15

p = 135 inches

Area of a nonagon = 1 / 2 pa

where

Therefore,

apothem = a = 20.6 inches

area of the nonagon = 1 / 2 × 135 ×  20.6

area of the nonagon = 2781 / 2

area of the nonagon = 1390.5 inches²

learn more on nonagon here: https://brainly.com/question/16228968?referrer=searchResults

Answer:

The answer is (n – 2) (3n + 2)

Step-by-step explanation:

3n² – 4n – 4

3n² – 6n + 2n – 4

3n(n – 2) + 2(n – 2)

(n – 2) (3n + 2)

Thus, (n – 2) (3n + 2) is a factored of

3n² - 4n - 4

Answer:

The final answer is 16.

Gd luck with your work! :)

Answer:

Step-by-step explanation:

Answer:

a) 8xy = (4)(2xy)

b) 15x⁴z = (5x²)(3x²z)

c) -12x³y³ = (3y³)(-4x³)

d) 8x-2y = (2)(4x-y)

Step-by-step explanation:

a) 8xy = (4)(2xy) for the right side to equal the left 2xy needs to be multiplied by 4 to equal 8xy

b) 15x⁴z = (5x²)(3x²z) you need to multiply 5x² by 3x²z to equal 15x⁴z.

5*3 = 15 and x²*x² = x⁴ so 15x⁴*z = 15x⁴z

c) -12x³y³ = (3y³)(-4x³) becuase -4*3 = -12 and x³*y³ equal x³y³

d) 8x - 2y = (2)(4x-y) when you multiply 2 by 4x-y it equals 8x-2y

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

no, because 2/10 is actually bigger than 2/100

Step-by-step explanation:

because if you think about a fraction as a part of a circle, and each of the denominators standed for one piece of the circle, then there would be way more pieces on the 100 circle and they would be smaller, thus, making 2 of them worth less than 2 of the circle with only 10 pieces.

Answer:

16 should be the correct answer

Answer:

Is this really college math?

He would have 8 slices of pizza

Step-by-step explanation:

8 * 4 = 32

32 / 4 = 8...

the number of slices John would have after distributing it among his friends.

8×4=32

32/4

= 8

John would have 8 slices of pizza.

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

Explanation:

Take note that the x and y coordinate of this vector are the same.

This leads to a 45-45-90 reference triangle. If the vector was in the first quadrant (the northeast), then the answer would be 45 degrees.

However, we need to add on 180 so we get to the third quadrant instead where x and y are both negative. This gets us to 180+45 = 225 degrees

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

If you wanted to use a calculator, then you would compute the value of [tex]\tan^{-1}(b/a)[/tex] where <a,b> is the vector in question.

Since a = b in this case, we have b/a = 1 and the arctangent of this is 45 degrees. The adjustment of adding on 180 still applies like from before.

Answer:

It's a 270 degree rotation or -90 degree rotation there the same thing all the other answer choices are wrong besides 270 degree rotation.

Step-by-step explanation:

Traveling in a fried-out Kombi

On a hippie trail, head full of zombie

I met a strange lady, she made me nervous

She took me in and gave me breakfast

And she said

Do you come from a land down under?

Where women glow and men plunder?

Can't you hear, can't you hear the thunder?

You better run, you better take cover

Buying bread from a man in Brussels

He was six-foot-four and full of muscle

I said, "Do you speak-a my language?"

He just smiled and gave me a Vegemite sandwich

And he said

I come from a land down under

Where beer does flow and men chunder

Can't you hear, can't you hear the thunder?

You better run, you better take cover, yeah

Lyin' in a den in Bombay

With a slack jaw, and not much to say

I said to the man, "Are you trying to tempt me

Because I come from the land of plenty?"

And he said

Oh, you come from a land down under? (Ooh, yeah, yeah)

Where women glow and men plunder?

Can't you hear, can't you hear the thunder?

You better run, you better take cover ('cause we are)

Living in a land down under

Where women glow and men plunder

(Can't you hear thunder) can't you hear, can't you hear the thunder?

You better run, you better take cover

Living in a land down under

Where women glow and men plunder

Can't you hear, can't you hear the thunder? (Ooh yeah)

Better run, you better take cover (we are)

Living in a land down under (ooh yeah)

Where women glow and men plunder

Can't you, can't you hear the thunder?

Better run, you better take cover

Living in a land down under (living in a land down under)

Where women glow and men plunder

Can't you, can't you hear the thunder?

Answer:

value of missing angle is..57°

Step-by-step explanation:

mark me brainliest

54° and 69°

the missing angle of the triangle.

let's consider the missing angle as n.

sum of interior angle of triangle= 180°

n+54°+69°= 180° (adding up to sum of interior angle of triangle)

n+123°= 180°

n= 180°-123°

n= 57°

The actual measurement of the length of the colored face of the aquarium is D. 36 inches by 14 inches.

Generally, a scale drawing is described as a drawing that has been reduced or enlarged from its original size to a specified scale.

For instance, the scale of the drawing of the original aquarium is ¹/16.  This implies that the length, width, and height have been scaled down to one-sixteenth of the original size.

Scale drawing = ¹/16 of the original aquarium

Length of the colored face = 2¹/₄ inches

The actual length of the colored face = 36 inches (2¹/₄ inches x 16)

Thus, the actual measurement of the length of the colored face of the aquarium is D. 36 inches by 14 inches.

Learn more about measurements at https://brainly.com/question/24842282

Answer:

The brightest star in the night sky is Sirius, located 500,000 times further away than the sun. Sirius is also 20 times brighter than the sun, which is why it is so easy to see at night. Our sun is a medium star of average size and brightness.

Answer:

true

Step-by-step explanation:

(-3)^22 -> to the power of an even number -> answer is positive

(-2)^33 -> to the power of an odd number -> answer is negative

positive # > negative #

Answer:

True

Step-by-step explanation:

First let's compare them.

-3 raised to an even power will give a positive number.

-2 raised to an odd power will give a negative number.

Therefore, (-3)²² > (-2)³³ is a true statement.

Answer:

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

Step-by-step explanation:

[tex] {x}^{2} - 4x = 0 \\ x(x - 4) = 0 \\ \\ x = 0 \\ \\ x - 4 = 0 \: - > x = 4[/tex]

Answer:

In that one week, his commision was $896, over all 52 weeks, he made $46592

Step-by-step explanation:

So, he makes 14% commision on any stock he sells. This week, he sold $6,400 worth of stocks, and, hes going to make 14% on it. So, take 6400 and divide that by 14%, and what do you get? $896! So, he made $896 that week. Now, say he made that amount EVERY WEEK. so, all you have to do is know how many weeks are in a year (52) and multiply that by 896, which gives you 46592.

Answer:

Step-by-step explanation:

11. identity property

12. associative property

13. commutative property

14. zero property

Use the Distributive Property, which states the following:-

a(b+c)[tex]\rightarrow[/tex]ab+ac

Simplify:-

3(y+4)-7

3y+12-7

Combine Like terms:-

[tex]\sf{3y+5}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

x=5

y=0

Step-by-step explanation:

Let's solve the system of equations through elimination

Solving by elimination is when you add or subtract one equation by the other to eliminate one variable

In this case, adding 3x and -3x would cancel each other out so we should add the equations

[tex]-3x + 7y = -15\\+(3x + 5y = 15)\\0+12y=0\\12y=0[/tex]

Now solve for y

Divide both sides by 12 to isolate y

[tex]12y=0\\\\\frac{12y}{12} =\frac{0}{12} \\\\y=0[/tex]

Now sub in the value of y into one of the original equations and solve for x

[tex]3x+5y=15\\3x+5(0)=15\\3x=15\\[/tex]

Divide both sides by 3 to isolate x

[tex]\frac{3x}{3} =\frac{15}{3} \\x=5[/tex]

Answer:

m = 4

(0, 1)

y = 4x + 1

Step-by-step explanation:

Slope using first two points (-2, 7) & (-1, -3):

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m=\frac{-3+7}{-1+2} =\frac{4}{1}[/tex]

m = 4

Y-intercept, b: (0, 1)

Equation:

y = mx + b

y = 4x + 1

Answer:

C) [tex]6r^2-9r-6[/tex]

Step-by-step explanation:

Open the parentheses, you get:

[tex]-3r^2-2r-4+9r^2-7r-2[/tex]

Then combine like terms:

[tex]-3r^2+9r^2=6r^2\\-2r-7r=-9r\\-4-2=-6\\[/tex]

Then right as a polynomial:

[tex]6r^2-9r-6[/tex]

So the answer would be C)

Answer:

6r² - 9r - 6

Step-by-step explanation:

(-3r² - 2r - 4) - (-9r² + 7r + 2)

Multiply to remove the parenthesis:

(-3r² - 2r - 4) - (-9r² + 7r + 2)

1(-3r² - 2r - 4) - 1(-9r² + 7r + 2)

1(-3r²) +1(-2r) + 1(-4) + -1(-9r²) + -1(7r) + -1(2) <== remember that multiplying 2 negatives, makes a positive

-3r² - 2r - 4 + 9r² - 7r - 2

Combine any like terms:

-3r² - 2r - 4 + 9r² - 7r - 2

6r² - 9r - 6 <== make sure that your answer is in Standard form (in decreasing degrees)

Hope this helps!

Answer:

f(x) = 6√7

Step-by-step explanation:

f{g(x)}=h(x)

f(7x+2)=6√7x+2

let y = 7x+2

x= (y-2)/7

f(x)= 6 √7(y-2)/7+2

Thus, f(x) =6√7

Answer:

65 alojamiento

Step-by-step explanation:

Answer:

6 , 7 , 8 , 9...

Step-by-step explanation:

2x > 10

x > 5

then

x = 6 , 7 , 8, 9...

I think that I am right and also think this will helpful to you.....

Let's complete

Rule following=4n

#2

The rule is 4n

#3

Let's see

Answer:

You have to pay $3.50 up front before using the kayak

Considering that the powers of 7 follow a pattern, it is found that the last two digits of [tex]7^{1867}[/tex] are 43.

The last two digits of a power of 7 will always follow the following pattern: {07, 49, 43, 01}, which means that, for [tex]7^n[/tex], we have to look at the remainder of the division by 4:

In this problem, we have that n = 1867, and the remainder of the division of 1867 by 4 is of 3, hence the last two digits of [tex]7^{1867}[/tex] are 43.

More can be learned about the powers of 7 pattern at https://brainly.com/question/10598663

Answer:

[tex]\fbox{ Option D ➫ \: 416 \: cm²}[/tex]

Step by step explanation:

Given:

height of prism h = 18 cm

length of base of triangle b = 10cm

height of triangle h' = 2 cm

side A of triangle = 5 cm

side B of triangle = 7 cm

To find:

Surface area of prism = ?

Solution:

[tex]Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{10} \times \not{2} \\ Area \: of \: base \: triangle = 10 \: {cm}^{2} [/tex]

[tex] \fbox{Area \: of \: base \: triangle \: (B) = 10 \: cm²}[/tex]

[tex]Perimeter \: of \: base \: triangle = Side A + Side B + base b \\ Perimeter \: of \: base \: triangle = 5 + 7 + 10 \: cm \\ Perimeter \: of \: base \: triangle = 22 \: cm[/tex]

[tex] \fbox{Perimeter \: of \: base \: triangle (p) \: = 22 \: cm}[/tex]

[tex]Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 10+ \: 22 \times 18 \\ Surface \: area \: of \: prism = 20 + 396\\ Surface \: area \: of \: prism = 416 \: {cm}^{2} [/tex]

[tex]\fbox{Surface \: area \: of \: prism = 416 \: cm²}[/tex]

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Answer:

D. 416 cm²

Step-by-step explanation:

Let S be the surface area of the prism

     B be the area of the base of the prism

     A be the lateral area of the prism

_______

formula :

S = 2B + A

__________

The base is a triangle ,then B the area of the base :

[tex]B=\frac{10 \times 2}{2}=10 \mathrm{~cm}^{2}[/tex]

_______

formula :

A = (Perimeter of the base) × (the height of the prism)

__________

then ,

[tex]\begin{aligned}A &=(10+5+7) \times 18 \\&=22 \times 18 \\&=396cm^2\end{aligned}[/tex]

Conclusion:

[tex]\begin{aligned}S &=2 B+A \\&=2 \times(10)+396 \\&=20+396 \\&=416 \mathrm{~cm}^{2}\end{aligned}[/tex]