Pls help me with this question

Step-by-step explanation:

x² + 6x + 9 = 2

(x + 3)² = 2

x + 3 = ±sqrt(2)

x = -3 ± sqrt(2)

so, B and D are correct.

control :

(-3 + sqrt(2))² + 6(-3 + sqrt(2)) + 9 = 2

9 + 2 - 6sqrt(2) - 18 + 6sqrt(2) + 9 = 2

2 = 2

correct

(-3 - sqrt(2))² + 6(-3 - sqrt(2)) + 9 = 2

9 + 2 + 6sqrt(2) - 18 - 6sqrt(2) + 9 = 2

2 = 2

correct

(3 + sqrt(2))² + 6(3 + sqrt(2)) + 9 = 2

9 + 2 + 6sqrt(2) + 18 + 6sqrt(2) + 9 = 2

38 + 12sqrt(2) = 2

wrong.

(3 - sqrt(2))² + 6(3 - sqrt(2)) + 9 = 2

9 + 2 - 6sqrt(2) + 18 - 6sqrt(2) + 9 = 2

38 - 12sqrt(2) = 2

wrong.

Answer:

69

Step-by-step explanation:

23*2=46

23+46=69

[tex]x+2x = 3x \\\\\text{when x =23,}~ ~3x = 3(23) =69[/tex]

Answer:

Slope is represented by the letter M and the y-intercept is represented by the letter B and is where the graph intersects the y axis.

Step-by-step explanation:

y = mx+b, where y and x are variables and m is the slope and b is the y-intercept

Hope that helps

Answers:

-3.5 < 5

|-3.5| < |5|

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

Explanation:

Any negative number is always smaller than any positive number. So that's why -3.5 is smaller than 5 and where -3.5 < 5 comes from. It might help to set up a vertical number line. Stuff on top is larger than stuff down below.

---------

The vertical bars represent absolute value. The result of |-3.5| is 3.5 because this is the distance from -3.5 to 0 on the number line. Likewise, |5| = 5.

So that's how we get to |-3.5| < |5| which is effectively saying -3.5 is closer to zero than 5 is to zero.

Answer:

Step-by-step explanation:

LET:

∠XYW=Y

X,Y and W are the angles of triangle so:

X + Y + W=180

3x+11+Y+5x+1=180

Y=180-12-8x

Y=168-8x

Now ∠XYW and ∠XYZ are the angles of a straight line:

∠XYW+∠XYZ=180

168-8x+12x-20=180

4x+148=180

4x=180-148

4x=32

x=32/4

x=8

Now substitute value of x in Y:

∠(12x-20)=12(8)-20

∠Y=76

Answer:

Polly has to pay $0.24 per yard of fabric.

Step-by-step explanation:

You simply have to divide the 6.8 yards by the $28.90 cost. The result is $0.235294118 dollars per yard, but since you can't have only half a cent, we will round it to the nearest hundredths and get $0.24 dollars.

You traveled up the river at 56 feet a minute and down the river at 47 feet a minute.

The question is asking us to simply convert the speed traveled in feet per second to feet per minute. To do that, we say,

28 feet in 30 seconds, if we multiply both by two. We have 56 feet in 60 seconds. Also remember that 60 seconds make 1 minute. Thus, you must have kayaked up the river at 56 feet in a minute.

423 feet in 9 minutes, if we divide both by nine. We have 47 feet in a minute. This means that you kayaked 47 feet a minute down the river.

for more visit https://brainly.com/question/25552839

Answer:

49/4 inches

Step-by-step explanation:

Inches below ground=  3 1/2 inches

Plant's full  height=15 3/4 inches

Height above ground = 15 3/4 inches -3 1/2 inches

63/4 - 7/2

63-14/4

49/4 inches

Answer:

[tex]12^1/_4[/tex] [tex]inches[/tex]

Step-by-step explanation:

We can make this an equation

[tex]-3 ^1/_{2}+15^3/_4[/tex]

We can make them the same denominator by looking for the GCF which we get as 2

Now we have

[tex]-3 ^2/_{4}+15^3/_4[/tex]

Do the equation and we get

[tex]12 ^1/_4[/tex] [tex]inches[/tex] as our answer

Answer:

31.4 inches

Step-by-step explanation:

c = 2 * 3.14 * r

c = 2 * 3.14 * 5

C = 31.4 inches

The constant of proportionality in the equation  y=1/2x

is 1/2

The direct proportionality between x and y is established by :

y α x

α = proportionality symbol

y = kx - - - (1)

Where;

y and x are the variables

k = proportionality constant

Comparing (1) with the equation given : y=1/2x    y=kx

The value of k aligns with 1/2 in the given equation.

Therefore, the constant of proportionality, k in the equation is 1/2

Answer:

yo yo yo! here to help :) answer is 1/2

Answer:

When estimating always round to the nearest whole number, 10th or 100th.

Im not sure if which estimation you are requesting in this question but i'l give you three answers:

The nearest whole number which would be 915 and 88 would be 1,003

The nearest 10th which is 920 and 90 which would be 1,010

The nearest 100th which would be 900 and 90 which would be 990

Answer:

add

Step-by-step explanation:

Answer:

When you multiply two numbers or variables with the same base, you simply add the exponents. When you multiply expressions with the same exponent but different bases, you multiply the bases and use the same exponent.

Step-by-step explanation:

Answer:

The answer is 144 feet and it will be in the air for 6 sec

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

Like and give 5 star rating

Step-by-step explanation and answer:

To understand this problem, you must first understand the definition of domain and range. Domain is all possible x values (possible input), and range is all possible y values (possible output). Based on this, we can now sort the terms as the following:

Domain

Range

Hope this helps!!

Answer:

IM fINNA GUESS B

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

"six times a number is 21 less" = 6x + 21

"nine times the same number" = 9x

Equation: 6x + 21 = 9x

6x + 21 = 9x       [tex]\longmapsto[/tex]       Subtract 6x from both sides

21 = 3x               [tex]\longmapsto[/tex]       Divide both sides by 3

7 = x

x = 7

-Chetan K

Answer:

Slope = -3/2

Step-by-step explanation:

[tex]Slope = \frac{Change -in -y}{Change- in -x}\\\\\\\\Slope = \frac{-8 - 4}{-6 - (-14)}[/tex]

[tex]Slope = \frac{-12}{8}\\\\\\Slope = \frac{-3}{2}\\\\[/tex]

-Chetan K

Does this represent a function?

: Determine whether a relation represents a function.

:Find the value of a function.

: Determine whether a function is one to one.

:Use the vertical line test to identify functions.

:Graph the functions listed in the library functions.

No

Answer:

Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.

Step-by-step explanation:

An example is attached! The purple-ish on the right would be your solution set.

The angle between sides GM and MT is ∠M.

The 2 sides that include ∠T are MT and GT.

The angle between sides GT and MG is ∠G.

There's not much to say about this, but I can answer questions if you have any.

Answer:

N=48

Step-by-step explanation:

2^9+2^4+48=576

576 is a perfect square

The least value of N that makes [tex]2^9 + 2^4 + N[/tex] a perfect square is 48

The number is given as:

[tex]2^9 + 2^4 + N[/tex]

Evaluate the exponents

[tex]2^9 + 2^4 + N = 512 + 16 + N[/tex]

Add 512 and 16

[tex]2^9 + 2^4 + N = 528 + N[/tex]

The above equation means that:

So, the smallest value of the equation is 576.

The equation becomes

[tex]528 + N = 576[/tex]

Subtract 528 from both sides

[tex]N = 576 - 528[/tex]

[tex]N = 48[/tex]

Hence, the least value of N is 48

Read more about perfect squares at:

https://brainly.com/question/1538726

Answer:

a=3√2, c= [tex]\frac{3\sqrt{2}}{2}[/tex]

Step-by-step explanation:

First Triangle, this is a 45-45-90 triangle

so the side are 1-1-√2

so if one of the side is 3, you multiply the above by 3

1*3-1*3-√2*3

therefore, a=3√2

Second triangle

this is a 30-60-90 Triangle

so the sides are x-x√2-2x

for this triangle

x√2=6

x=6/√2 --> multiply by √2/√2 --> this gets ride of the √2 in the denominator

x=6√2/4 --> simplify

x=[tex]\frac{3\sqrt{2}}{2}[/tex]

therefore, c=[tex]\frac{3\sqrt{2}}{2}[/tex]

Answer:

13

Step-by-step explanation:

b2-12a

2(8)-12(1/4)

16-12/4

16-3

13

Answer:

Step-by-step explanation:

-2.72

The steps used to solve this are (for most calculators ) is

log

0.0019

=

If you do not own a scientific calculator, you can use the one that came from windows.

Unfortunately it is slightly different. Make sure you are in scientific mode. Type in 0.0019. Then click on log. Same answer just much longer.

Answer:

Step-by-step explanation: it’s 41%

Answer:

m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

6+7=13

6:7=13

x:28

28/7=4

so you have to multiply by 4

4x6=24

24 boys and 28 girls

24+28=52

Answer:

52

Step-by-step explanation:

Lets put the ratio like this: 6x (boys) : 7x (girls)

because we know that the amount of girls is 28 we can set them equal as so:

7x = 28

÷ divide both sides by 7

x = 4

now add 6x + 7x to get the total people = 13x and because x equals 4, we can multiply 13 by 4. Which is 52

HOPE THIS HELPS :)

10)100000(10000

10

___

××0000

Answer:

5000

Step-by-step explanation:

1 score = 20

10 scores

= 10 x 20

= 200

100,000 / 10 scores

= 100,000 / 200

= 5000

Answer:

The 1st

Domain is (1,-3)

The second

Domain is (R)

The 3rd

Domain = (R)

The 4th

Domain =(-1,+infinity )

Respectively