simple angle questoin

Answer:

C. [tex]\sqrt{3x^2+21x}[/tex]

Step-by-step explanation:

When one multiplies two radicles, one multiplies each term in the radical by the term in the other radical, then one simplifies the result and puts the radical sign over the result. If there are any perfect squares one will take the terms out. In this scenario, such is not the case.

[tex]\sqrt{3x}*\sqrt{x+7}\\\\\sqrt{3x(x+7)}\\\\\sqrt{3x^2+21x}[/tex]

Answer:

B

Step-by-step explanation:

[z^4/6²]^-3 = z^-12/6^-6 = 6^6/z^12

Answer:

[tex]Q(x) = x^3 + 4x^2 - 10x + 12[/tex]

Step-by-step explanation:

Complex numbers:

The most important relation when dealing with complex numbers is that:

[tex]i^2 = -1[/tex]

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Q has degree 3 and zeros −6 and 1 + i.

Complex roots are always complex-conjugate, which means that if 1 + i is a root, 1 - i is also a root.

I am going to say that the leading coefficient is 1. So

[tex]Q(x) = (x - (-6))(x - (1 + i))(x - (1 - i)) = (x + 6)(x^2 - x(1-i) - x(1+i) + (1+i)(1-i)) = (x + 6)(x^2 - 2x + 1 - i^2) = (x + 6)(x^2 - 2x + 1 - (-1)) = (x + 6)(x^2 - 2x + 2) = x^3 + 6x^2 - 2x^2 - 12x + 2x + 12 = x^3 + 4x^2 - 10x + 12[/tex]

The polynomial is:

[tex]Q(x) = x^3 + 4x^2 - 10x + 12[/tex]

Answer:

D) The very last one

Step-by-step explanation:

n + 6 < 4

n < -2

< means it's an open circle and goes in the LEFT direction

Answer:

The number could be [tex]-7.5[/tex] or [tex]8[/tex].

Step-by-step explanation:

I'm going to assume this means "The square of a number is 60 greater than half of the number." Let the number be [tex]x[/tex]. The square of [tex]x[/tex] will be [tex]x^{2}[/tex]. "is" denotes that we use the "[tex]=[/tex]" sign, so our equation so far is [tex]x^{2} =[/tex] . Half of [tex]x[/tex] is [tex]\frac{1}{2}x[/tex], and "greater than" implies addition, so [tex]60[/tex] greater than [tex]\frac{1}{2}x[/tex] is [tex]\frac{1}{2}x+60[/tex]. Therefore, the equation is [tex]x^{2} =\frac{1}{2}x+60[/tex].

Solving for [tex]x[/tex], we get:

[tex]x^{2} =\frac{1}{2}x+60[/tex]

[tex]2x^{2} =x+120[/tex] (Multiply both sides of the equation by [tex]2[/tex] to get rid of the fraction)

[tex]2x^{2} -x-120=0[/tex] (Subtract [tex]x+120[/tex] from both sides of the equation to make it easier to solve)

[tex]2x^{2} +15x-16x-120=0[/tex] (Split [tex]-x[/tex] into [tex]15x-16x[/tex] to make the LHS easier to factor)

[tex]x(2x+15)-8(2x+15)=0[/tex] (Take a common factor out of the first two terms and the last two terms)

[tex](2x+15)(x-8)=0[/tex] (Take another common factor out)

[tex]2x+15=0,x-8=0[/tex] (Zero Product Property)

[tex]x=-7.5,8[/tex] (Solve)

Hope this helps!

Answer:

meter

Step-by-step explanation:

Answer: a parallelogram

Answer:

Five less than the number than....... 8/n - 5 +7

Eight more than the product........ 8 +7n - 2

Five times the sum..... 5(n+7)

Twice the difference.... 2 (8-n)

Answer:

Blue:

[tex] \frac{8}{n} - 5 + 7[/tex]

Green:

[tex]8 + 7n - 2[/tex]

Orange:

[tex]5(n + 7)[/tex]

Purple:

[tex]2(8 - n)[/tex]

Answer: Third option

Step-by-step explanation: Hope this helps :)

Answer:

C.

Step-by-step explanation:

14/3 = 4.66

/2/=2.33

-14/4 = -3.5

So the numbers are 4.66, 4.3, 2.33, 1.3, -2 and -3.5

So the numbers are -14/4, -2, 1.3,/2/, 4.3, 14/3

I hope I helped! Pls leave a rating and a heart if I did!

Answer:

392

Step-by-step explanation:

Answer:

Final answer:  x=0 m:3 and x=-6 m:2

Step-by-step explanation:

1. 4x³(x²+12x+36)- Divide by greatest common factor, to simplify.

2. 4x³(x+6)(x+6)- Factored

3. 4x³ = 0   Set each factor equal to zero

4. x+6=0       x+6=0

So, x= -6, two times, mulitiplicity 2

So, 4x³=0, so x=0 three times, mulitiplicity 3

Final answer:  x=0 m:3 and x=-6 m:2

Answer:

6 is the answer for your box :) Double checked :)

Step-by-step explanation:

25.12 = 1/3(12.56h)

multiply both sides by 3 to get rid of the fraction

75.36 = 12.56h

divide both sides by 12.56

6 = h

h = 6

Answer:

h = 6

Step-by-step explanation:

25.12=12.56/3 h

25.12 x (3/12.56) = h

h = 6

Answer:

x = 17+5-5

x=17

so this equation is wrong

Answer:

g(-3) = -4

Step-by-step explanation:

g(-3) = 2(-3) + 2

g(-3) = -6 +2

g(-3) = -4

Answer:

x=-1

Step-by-step explanation:

hope this helps

Answer:

1 and 3

Step-by-step explanation:

it is where the graph meets the x axis line

Answer:

Slope = -3, Y-intercept = -2, y = -3x -2

Step-by-step explanation:

There are multiple points plotted on the graph, but right now, we only need to focus on two.

(-2, 4) (-1, 1)

Using the ordered pairs, do delta y/ delta x to get the slope

(1-4)/(-1-(-2)

(-3)/(-1+2)

(-3)/(1)

Slope = -3

y = -3x + b

As shown on the graph, the y-intercept is -2. It is when x = 0

So, for the equation, substitute the found values.

y = -3x -2

Answer:

Your answer is 27

I hope I helped, would appreciate brainliest! ;)

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

27% = 27 'out of one hundred',

p% is read p 'percent',

27% = 27/100 = 27 ÷ 100

Calculate percentage:

'Percentage' is obtained by multiplying 100 by 27%

27% of 100 is equivalent to multiplying them:

27% × 100 = ?

27% × 100 =

(27 ÷ 100) × 100 =

(27 × 100) ÷ 100 =

2,700 ÷ 100 =

27

Proof.

How do we check the result?

If 27% × 100 = 27 =>

Divide 27 by 100...

... And see if we get as a result: 27%

Note:

100/100 = 100 ÷ 100 = 100% = 1

Multiply a number by the fraction 100/100,

... and its value doesn't change.

n/100 = n%, any number.

Calculate the percent value:

27 ÷ 100 =

0.27 =

0.27 × 100/100 =

(0.27 × 100)/100 =

27/100 =

27%

So we have proved that the calculations are correct.

Answer:

Percentage of

27% of 100 = 27

Answer:

27%

Convert fraction (ratio) 27 / 100 Answer: 27%

Answer:

is the 23% going into the 42.5

Answer:

10

Step-by-step explanation:

to find the answer for 3y + 4 we have to find the value of y.

we can find that by using the second equation.

-2y+6=2

-2y+6-2 =0 (subtract 2 from both the sided)

4= 2y (we will bring the -2y to the other side of the equation and then subtract the 6-2 to get the 4)

4/2=y  (divide by 2 on both the sides)

∴ y=2

now we will plug in the y of value that we see as -2 into the first equation.

∴ 3y+4 will become

=  3(2)+4

=6+4

=10

hope this helps!!

Answer:

1131 students, is the best prediction.

Step-by-step explanation:

1450 divided by 50 = 29

50 - 14 = 36

36 x 29 = 1131

Given:

The expression is

[tex]2\times 2\times 2\times 2\times 2[/tex]

To find:

The index notation of the given expression.

Solution:

Index: The power of a number and a variable is called its index.

Index notation: The expression which has a base and a power.

In the given expression 2 is multiplied 5 times, so by using the property of exponent we get

[tex]2\times 2\times 2\times 2\times 2=2^{1+1+1+1+1}[/tex]       [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]2\times 2\times 2\times 2\times 2=2^{5}[/tex]

Therefore, the index notation of the given expression is [tex]2^5[/tex].

The population of the town after 5 years will be 147089 (approx).

Step-by-step explanation:

The exponential growth equation is given by :-

f(x)=A(1+r)^x...(*)

, where A = initial population , r= rate of growth ( in decimal) and x is time.

As per given , we have

A= 13000

r=2.5%=0.025

x= 5 years

Using (*), the population of the town after 5 years would be :

f(5)=13000(1+0.025)^5=13000(1.025)^5\\\\=13000(1.13140821289)=14708.306767614708.3067676\approx147089

Hence, the population of the town after 5 years will be 147089 (approx).

The singular is the one and only, so it's 35/100 simplify it= 7/20

So the multiplier is the first digit of the fraction 7/20

Answer:

a) the new perimeter is 2 times the old perimeter

b) the new area is 4 times the old area

Step-by-step explanation:

b) the doubling of the length and width affects the area formula like this:

old triangle area formula = 1/2bh

new triangle area formula = 1/2(2b)(2h),   you see the 2 x 2 causes the area to be 4 fold

Answer:

-8x-9y

Step-by-step explanation:

Hey There!

So basically this problem is asking you to simplify this expression using distributive property

The first step would be to distribute 7 into what is inside the parenthesis (2x and -3y)

2x*7=14x

-3y*7=-21y

so now we have 14x-21y + 4(3y-5x)

the next step would be to distribute 4 to what is inside the parenthesis (3y and -5x)

4*3y=12y

4*-5x=-20x

so now we have 12x-21y-20x+12y

the final step is to combine like terms

12x-20x=-8x

-21y+12y=-9y

so the simplified version of 7(2x - 3y) + 4(3y - 5x) is -8x-9y

Answer:

14x-21y+12y-20x. 14x-20x+12y-21y. -6x-9y

Answer:

The answer seems like it is A.

Step-by-step explanation:

Remeber the domain is all real numbers. Hope this helps.

Answer:

10.6 i think

Step-by-step explanation:

i think it's 10.6 because 18.9-8.3=10.6

Answer:

The midsegment is 13.6

Step-by-step explanation:

To calculate the mid segment, find the average of the two bases.

[tex]\frac{8.3+18.9}{2} =\frac{68}{5}=13.6[/tex]