2. Can a triangle have 2 obtuse angles?
Explain

The product of prime polynomials  [tex]\rm 3x(x-3)(x^2+3x+9)[/tex] is equivalent to  

[tex]\rm 3x^4-81x[/tex].

It is given that the polynomial  [tex]\rm 3x^4-81x[/tex].

The product of prime polynomials is equivalent to the above polynomial.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have:

[tex]\rm 3x^4-81x\\\rm 3x(x^3-27)\\\rm 3x(x^3-3^3)\\\rm 3x(x-3)(x^2+3x+3^2) \\\\ We \ know \ that \ a^3-b^3=(a-b)(a^2+ab+b^2)\\3x(x-3)(x^2+3x+9)\\[/tex]

Thus the option  [tex]\rm 3x(x-3)(x^2+3x+9)[/tex] is correct.

Learn more about Polynomial here:

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Answer:

Step-by-step explanation:

So the total # of socks is 25 + 15+ 20, which equals 60.

theres ONLY 20 socks that are colorful, meaning that 20/60 are coloful.

20/60 simplified is 2/6, simply that even further its 1/3, 1/3 is a ration within itself. itll be 1:3

Answer:

1:3 (20:60)

Step-by-step explanation:

So the ratio of colorful socks to total socks is 20:60

This is how:

First write the number of colorful socks which is 20.

From the calculate the total number of socks( 20 + 25 + 15 = 60) which is 60.

Then put a colon and write 60

You need to write the number of colorful socks because that is what was mentioned first then the total number of socks because it was mentioned after the number of colorful socks.

So you can reduce 20:60 to its lowest term.

You write 20: 60 as a fraction [tex]\frac{20}{60}[/tex]

Then reduce [tex]\frac{20}{60}[/tex] to its lowest term which is [tex]\frac{1}{3}[/tex].

Then write [tex]\frac{1}{3}[/tex] as a ratio which is 1:3

HOPE THIS HELPED

Answer:

2.05 inches

Step-by-step explanation:

V = 4/3 x πr³

36=4πr³/3

36x3= 4πr³

108= 4πr³

108/4 = πr³

27= πr^3

27/π =r³

r=

[tex] \sqrt[3]{27 \div \pi} [/tex]

r= 2.048in

round off to 2.05in

PROOF

V = 4÷3 x πr³

V= 4/3 x π(2.05)³

V=4/3 x π8.6

V=4×π×8.6/3

V=108/3

V=36in³

Therefore: radius= 2.05 inches

Answer:

482.84

Step-by-step explanation:

[tex]A = 2 ( 1 +\sqrt{2} ) a^{2} = 2 multiply ( 1 +\sqrt{2} ) multiply 10^{2} = 482.84271[/tex]

Hey there!

4a + 3b + 2a

=> 4a + 3b + 2a

=> 4a + 2a - 3b

=> 6a - 3b

Therefore, 4a + 3b + 2a = 6a - 3b

[tex] \\\ \\ \\{x}^{2} + 2y + 8 {x}^{2} [/tex]

[tex]-› \:{x}^{2} + 8 {x}^{2} - 2y[/tex]

[tex]-› \: 9 {x}^{2} - 2y[/tex]

Therefore, [tex] {x}^{2} + 2y + 8 {x}^{2} [/tex] = [tex]\: 9 {x}^{2} - 2y[/tex]

Answer:

(-1,-1)

Step-by-step explanation:

Because you're translating something 3 units to the left, then you are moving along the x-axis, so you will subtract 3 from 2.

Answer:

author link

annaking0830

Ambitious

14 answers

987 people helped

Answer:

0.5f - 17.77

Step-by-step explanation:

im pretty sure thats right im not 100% sure more like 80% sure but ya thats what i got hope its right :)

p.s i do khan too!!

Answer:

Answer:

author link

annaking0830

Ambitious

14 answers

987 people helped

Answer:

0.5f - 17.77

Step-by-step explanation:

im pretty sure thats right im not 100% sure more like 80% sure but ya thats what i got hope its right :)

Step-by-step explanation:

Answer:

[tex]y=-\frac{3}{2}+2[/tex]

Step-by-step explanation:

First subtract 6 from both sides:

[tex]6x+4y=8[/tex]

-6            -6

New equation becomes:

[tex]4y-6=8[/tex]

Divide all by 4:

4     -6      8

---    ---      ---

4       4       4

[tex]y=-\frac{3}{2}+2[/tex]

Hence, the final answer is [tex]y=-\frac{3}{2}+2[/tex]

Answer:

(x + y)(x + 8)

Step-by-step explanation:

Answer:

(x + y) (x + 8)

Step-by-step explanation:

[tex]x^2+xy+8x+8y[/tex]

[tex]=\left(x^2+xy\right)+\left(8x+8y\right)[/tex]

[tex]\mathrm{factor\;out\;x\;from\;x^2+xy}:x(x+y)[/tex]

[tex]\mathrm{factor\;out \;8\;from\;8x+8y}:8(x+y)[/tex]

[tex]=x\left(x+y\right)+8\left(x+y\right)[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x+y[/tex]

[tex]=\left(x+y\right)\left(x+8\right)[/tex]

Answer = [tex]\left(x+y\right)\left(x+8\right)[/tex]

~Learn with Lenvy~

Answer:

a. 300 minutes.

b. $53

explanation:

make equations from given information.

equation 1 from plan A :

20 + 0.11(n)

equation 2 from plan B :

14 + 0.13(n)

Solve them simultaneously,

14 + 0.13(n) = 20 + 0.11(n)

0.13(n) - 0.11(n) = 20 - 14

0.02(n) = 6

n = 300

insert n = 300 in any of the equation, to find cost.

14 + 0.13(n)

14 + 0.13(300)

$53

Answer:

The formula is given as E(X)=μ=∑xP(x)        Step-by-step explanation:

multiply each value of the random variable by its probability and add the products.

Answer:

the fraction of the class that are boys is B/30, or b=30-g.

Both these answers work

Step-by-step explanation:

Answer:

I'd have to go with C.

Step-by-step explanation:

8.8 x 103=

906.4

And if you have to times it by 4, than its most likely 220

220 x 4=

880

Answer:

True

Step-by-step explanation:

A reflecrion always is the sam edustance because then it makes it look like they are reflecting each other.

Step-by-step explanation:

First I would look at the y intercept. In a linear equation, y = mx + b, b is the y-intercept and m is the slope. This means that (0,6) is a point on the line since at a y-intercept, the x value is 0. First you should plot this point.

Next, the slope is 4, meaning that for every 1 unit to the right, the line rises 4 units. You can count 1 to the right and 4 up from the y-intercept, which gives you (1,10), a second point on the line. After this, you can connect the two points and there you go, you have a graph!

Answer:

She ran 2 miles each day

Step-by-step explanation:

I am doing this problem assuming that you mean to solve for m and n as x and y do not exist in this system of equations.

-4m+2n=6

-4m+n=8

We can see that the coefficient of x for both equations are -4; therefore, elimination with subtraction is possible.

First equation - second equation

n=-2

Then substitude back in to solve for m

-4m+(-2)=8

4m=10

m=5/2

Therefore the answer is

n= - 2

m= 5/2

I hope this helped and if you have any questions please ask.

Answer:

B)

Step-by-step explanation:

The rectangle is being translated.  It is moving up 3, so positive 3, and to the left 6, so -6.

Answer:

it cannot be determined not enough info

Answer:

A parrelogram is a shape with four sides (and something else I forgot).  That doesn't matter because a circle doesn't even have sides! Therefore, it's not a parallelogram.

Answer:

A)Deductive

B)Deductive

C)Inductive

D) Deductive

Step-by-step explanation:

The given circle having two external tangents, according to circle

theorem, have the following values;

r² + 1.6² = (0.4 + r)²

(0.4 + r)² - (r² + 1.6²) = 0

0.8·r - 2.4 = 0

0.8·r = 2.4

r = 2.4 ÷ 0.8 = 3

y = 49°

From the two tangent angle theorem, we have;

m∠1 = ((82 + 98 + 82) - (360 - ((82 + 98 + 82)))) ÷ 2 = 82

According to circle theorems, angle at the center is twice angle

subtended at the circumference.

m∠2 = (360 - (82 + 98 + 82)) ÷ 2 = 49°

The length of the chord subtended by the arc x is equal to the length of

the chord subtended by 89°, which gives;

Learn more about circle theorems applications here:

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Answer:

Step-by-step explanation:For any shape it’s always true that for volume

V

the surface area is:      =2‾‾‾√3

for some constant   depending on the shape. So to work out the surface area from the volume we just need to know the value of   for the shape in the question.

For a cube for example we have that  =6, assuming consistent units i.e.: unit 2 for area and unit 3

3

 for volume.

More generally if we have formula for both volume and surface area in terms of a particular one dimensional measurement  

d

 of the shape then we can always write these formula in the form:

=13

=12

for constants  constants   1  and  1

. Then we have:

=1‾‾‾√3

=1(1)2‾‾‾‾‾‾√3

=121‾‾‾√32‾‾‾√3

and therefore:

=121‾‾‾√3

For example for a sphere we have that   that  =42  and  =433 and therefore:

=4(43)2‾‾‾‾‾‾√3

=36‾‾‾‾√3

So if a particular sphere has volume   =8  then we can calculate its surface area to be:

=36‾‾‾‾√382‾‾√3=436‾‾‾‾√3 m2

Answer: Left 2

Step-by-step explanation:

Move 2 units back which is left

Answer:

$3.11

Step-by-step explanation:

you have to subtract 24.10 from 22.99

Answer:

First let's find the increase of the original price to it's new price;

24.10 - 22.99 = 1.11, there was a $1.11 increase.

Though, we need to find the percentage, using the formula:-

Changed price       100

____________ x _____ (100%)

Original amount        1

Our changed price was 1.11, and our original price was 22.99.

 1.11          100

_____ x _____ = 4.828 which rounds to 4.83%

22.99        1

Answer:

f(-2) = 8

Step-by-step explanation:

Graph y = f(x)

Find value of f(-2)

when f(x) = f(-2)

Here we are looking for the value of y when x = -2

From the graph when x = -2 then y = 8

Therefore, f(-2) = 8

Answer:

Hm, okay.

Step-by-step explanation:

So, if the pizza cost $12.50, and the total money spent is $16.85, we must first subtract our money spent on pizza from the total amount spent.

$16.85 - $12.50 = $4.35

So, that means that John and his two friends spent $4.35 on 3 large drinks. But how do we figure out how much each individual drink cost?

We divide $4.35 by 3.

$4.35 / 3 = $1.45.

So, the amount of money spent on one large drink was $1.45.

Step-by-step explanation:

Substitute the value of y into the equation;

[tex]8x-2(4)=48[/tex]

Find the value of x.

Multiply;

[tex]8x-8=48[/tex]

Add 8 to each side;

[tex]8x=56[/tex]

Divide each side by 8;

[tex]x=7[/tex]

Answer:

x = 7

Step-by-step explanation:

Given:

Step-1: Substitute the y-variable in the equation (8x – 2y = 48)

Step-2: Simplify the L.H.S

Step-3: Add 8 both sides

Step-4: Divide 8 both sides