mark is making a square pen for his puppy. he wants the puppy to have 36 square feet of space to play in. he can use square roots to determine the length of one side of the square section so that he can be sure to purchase enough fencing for the pen. how is the side of the square pen related to the area ?

how long is one side of the square pen ?

how much fencing will mark need to purchase ?

someone please help me lol​

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Explanation:

The two equations given to us are

Divide the second equation over the first equation and that would lead to b = 6

Notice how the 'a' terms divide to 1 and go away, i.e. cancel out.

The b terms divide to (b^2)/b = b

The right hand side values divide to 18/3 = 6

So that's how we end up with b = 6

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Now if b = 6, then we can say,

ab = 3

a*6 = 3

a = 3/6

a = 1/2

Or we could say

ab^2 = 18

a*6^2 = 18

a*36 = 18

a = 18/36

a = 1/2

Answer:

x=1

Step-by-step explanation:

log_4(x + 3) + log_4x = 1

We know that loga(b) + loga(c) = loga(bc)

log_4(x + 3)x = 1

Raise each side to the base of 4

4^log_4(x + 3)x = 4^1

(x+3)x = 4

x^2 +3x = 4

Subtract 4 from each side

x^2 +3x -4 = 0

Factor

(x+4) (x-1) =0

Using the zero product property

x= -4  x=1

But x cannot be negative since logs cannot be negative

x=1

Answer:

A..  x = 1.

Step-by-step explanation:

log_4(x + 3) + log_4x = 1

log_4 x(x + 3) = log_4 4

Removing the logs:

x(x + 3) = 4

x^2 + 3x - 4 = 0

(x + 4)(x - 1) = 0

x = 1, -4.

We can ignore the -4 as there is no log of a negative.

Answer:

Minimum Possible Temperature: 55° F

Maximum Possible Temperature: 71° F

Step-by-step explanation:

Beginning temperature: 63° F

Change in temperature: 8° F

If the temperature decreased: 63° F - 8 °F = 55° F

If the temperature increased: 63° F + 8° F = 71° F

Minimum Possible Temperature: 55° F

Maximum Possible Temperature: 71° F

Step-by-step explanation:

here's the answer to your question

Answer:

Step-by-step explanation:

If these were similar, then the ratio 35/18 (the top and bottom measures from each of the polygons) would have to equal the ratio 63/10 (the side measures from each of the polygons).

35/18 = 1.944444

63/10 = 6.3

They are not similar because the simplified ratios are not the same.

Answer:

13

Step-by-step explanation:

(4+√3)(4-√3) = (4)^2-(√3)^2 =16-3 = 13

Answer:

Step-by-step explanation:

(a + b)(a -b) =a² - b²

a = 4 and  b = √3

(4 + √3)(4 - √3)= 4² - (√3)²

                        = 16 - √3*√3

                        = 16 - 3

                        =  13

Step-by-step explanation:

The total of the number of computers he sold in 2015 is 67.

The total of the number of computers he sold in 2016 is 61.

The total of the number of computers he sold in 2017 is 71.

He sold 35 computers in Quarter 1, 24 in Quarter 2, 61 in Quarter 3, and 79 in Quarter 4.

He sold the most computers in 2017 and the least in Quarter 2.

Therefore, to find the total number of computers he sold all time, we add 67, 61, and 71 together to get 199.

Hope this helped!

Answer with Step-by-step explanation:

From the given table

(a)

In quarter 1

Computer sold in 2015=12

Computer sold in 2016=15

Computer sold in 2017=8

Total computer sold in quarter 1=12+15+8=35

In quarter 2

Computer sold in 2015=9

Computer sold in 2016=10

Computer sold in 2017=5

Total computer sold in quarter 2=9+10+5=24

In quarter 3

Computer sold in 2015=21

Computer sold in 2016=17

Computer sold in 2017=23

Total computer sold in quarter 3=21+17+23=61

In quarter 4

Computer sold in 2015=25

Computer sold in 2016=19

Computer sold in 2017=35

Total computer sold in quarter 4=25+19+35=79

In 2015

Total number of computer sold=12+9+21+25=67

In 2016

Total number of computer sold=15+10+17+19=61

In 2017

Total number of computer sold=8+5+23+35=71

(b)He sold the most computers in 2017

(c) He sold the least computers in quarter 2.

Question is slightly wrong .We have to find BD

we know

[tex]\boxed{\sf BD^2=AD\times DC}[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD^2=4\times 2[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD^2=8[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD=\sqrt{8}[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD=2√2[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD=2(1.4)[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow BD=2.8[/tex]

Answer:

1/2×2×12=12 feet

Step-by-step explanation:

1/2× base area × height

Answer:

simultaneous equations

Step-by-step explanation:

phils age =7x

Peter age=x

scenario 2

phils age = 4(7x)

Peter age= 2x-2

[tex]7x + x = 4(7x) + 2x - 2[/tex]

Answer:

D

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers

12 = 2x + 4y , that is

2x + 4y = 12 ← is in standard form

Answer:

[tex]=\frac{81m^2n^5}{8}[/tex]

Step-by-step explanation:

One is given the following expression:

[tex]\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}[/tex]

Simplify, distribute the exponent outside of the parenthesis by the terms inside of it. Remember, when a value that already has an exponent is raised to another exponent, the equivalent of these two values is multiplying the exponents together. Use this property here:

[tex]=\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}[/tex]

[tex]=\frac{3^4m^(^-^1^)^(^4^)n^(^2^)^(^4^)}{2^3m^(^-^2^)^(^3^)n^3}[/tex]

[tex]=\frac{81m^-^4n^8}{8m^-^6n^3}[/tex]

Now simplify this fraction. Keep in mind that a fraction is another way of representing the operation of division. When one wants to divide terms raised to an exponent, one must make sure that these terms have a like base. Then one will subtract the exponents from each other. Do this step with terms that have a variable base:

[tex]=\frac{81m^-^4n^8}{8m^-^6n^3}[/tex]

[tex]=\frac{81m^(^-^4^)^-^(^-^6^)n^(^8^)^-^(^3^)}{8}[/tex]

[tex]=\frac{81m^-^4^+^6n^8^-^3}{8}[/tex]

[tex]=\frac{81m^2n^5}{8}[/tex]

Step-by-step explanation:

+ Both equations

You will get : 5x=13 ; x=13/5

and put x to the first equation

2*13/5-y=4

y=6/5

(13/5;6/5)

Answer is C

Answer:

x = constant ( other than 5)

Step-by-step explanation:

The slope of a line x=5 is  undefined

Parallel lines have the same slope

So any line that is vertical ( slope undefined) will be parallel

Answer:

MATH

Step-by-step explanation:

Answer:

6.8=6 8/5

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hope it help

Answer:

b, c, d

Step-by-step explanation:

Answer:

A

Giải thích:

f(1)=f(x)

f(-1) và f(-2)= f(-x)

=> f(1)=f(-1) =A. f(x)=f(-x)

Answer:

Amy has 12 5¢ coins

Step-by-step explanation:

Let x represent 20¢ coins and y represent 5¢ coins.

Amy has four more 20¢ coins than 5¢ coins. Hence:

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

And the total value of all her coins is $3.80. Thus:

[tex]0.2x+0.05y=3.8[/tex]

This yields a system of equations:

[tex]\displaystyle \begin{cases} x=y+4 \\ 0.2x+0.05y=3.8\end{cases}[/tex]

We can solve by substitution. Substitute the first equation into the first:

[tex]\displaystyle 0.2(y+4)+0.05y=3.8[/tex]

Distribute:

[tex]\displaystyle 0.2y+0.8+0.05y=3.8[/tex]

Combine like terms:

[tex]\displaystyle 0.25y = 3[/tex]

And divide both sides by 0.25. Hence:

[tex]y=12[/tex]

Thus, Amy has 12 5¢ coins.

Using the first equation:

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

Substitute:

[tex]x=(12)+4=16[/tex]

Thus, Amy has 16 20¢ coins.

In conclusion, Amy has 12 5¢ coins and 16 20¢ coins.

Using Pythagoras Theorem

[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]

[tex]\\ \sf\longmapsto B=\sqrt{H^2-P^2}[/tex]

[tex]\\ \sf\longmapsto B=\sqrt{29^2-21^2}[/tex]

[tex]\\ \sf\longmapsto B=\sqrt{841-441}[/tex]

[tex]\\ \sf\longmapsto B=\sqrt{400}[/tex]

[tex]\\ \sf\longmapsto B=20[/tex]

Answer:

k=-1/2

Step-by-step explanation:

u have to change line 4x + ky=11 to this form:

y=11/k-4x/k

then, if 2 lines are parallel, their slopes have to equal

so: 8=-4/k -> k=-1/2

Answer:

If the triangle is similar by any axiom then the ratio of their sides will be equal then you can easily find the side of the triangle

OR

You can also find it by congurency.

Hope this helps

Answer:

Question #1

Set up an equation to find x:

[tex]x+x+10=26\\2x=26-10\\2x=16\\x=8[/tex]

The length of the side marked x is 8.0 m.

Question #2

Set up an equation to find x

[tex]11+11+x+x=34\\2x=34-22\\2x=12\\x=6[/tex]

The new width is 6 cm.

Answer:

91

Step-by-step explanation:

P>J and P>M

269 -> split into 3 parts

Approx is 90

IF Peter's score is 90, then the other 2 scores could be 90 and 89

+ 1 to Peter's score

Hence Peter's least possible score could be 91.

Answer:

x is 30 degrees

Step-by-step explanation:

Answer:

x=30/tan(22)

x= 74.2526056

Step-by-step explanation:

Answer:

acute angle.

Step-by-step explanation:

because it is 60 degree

Nếu AOB là một đường thẳng thì góc BOC =90°

Answer:

39.401

Step-by-step explanation:

Answer:

hope found the answers bye.

Step-by-step explanation:

9x + 4y - 4  =  0     

Putting in the x-value of -1, we get:

9(-1) + 4y - 4  =  0

Simplifying:

-9 + 4y - 4  =  0

Combining the -9 and the -4:

4y - 13  =  0

Getting rid of the -13 by adding 13 to both sides:

4y - 13 + 13  =  0 + 13

4y  = 13

Dividing both sides by 4:

y = 13/4

Checking:  Is 9(-1) +4(13/4) -4  really zero?    Yes!