double the number plus three times another number is 54. the difference between these two numbers is three. what are the two numbers?

Answer:

area of lawn = 15.708 square meters

Step-by-step explanation:

pi 3 squared (area of lawn and flower bed) - pi 2 squared (area of flower bed)= area of lawn

Answer:

The answer is "[tex]9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]"

Step-by-step explanation:

For point a:

[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex] by GCF

Calculating the const terms:[tex]36 \ n \ 81, \ GCF \ is\ 9\times 4 \ n \ 9\times 9[/tex]

Calculating the terms  [tex]w\ a: a^4 \ n \ a^{16},\ GCF \ is\ a^4 \ n \ a^4 \times \ a^{12}[/tex]

Calculating the terms [tex]w \ b: b^{10}\ n\ b^{20}, \ GCF \ is\ b^{10}\ n \ b^{10} \times b^{10}[/tex]

Including the GCFs, [tex]36a^4 b^{10} - 81a^{16}b^{20}[/tex]

[tex]=9a^4b^{10}(4 - 9a^{12}b^{10})\\\\4=2^2 n 9a^{12}b^{10}\\\\=(3a^6b^5)^2[/tex]

Calculating the difference of squares

[tex]\to A^2 - B^2 = (A+B)(A-B)\\\\\to 4 - 9a^{12}b^{10} \\\\\to (2+3a^6b^5)(2-3a^6b^5)\\\\[/tex]

substituting

[tex]\to 36a^4b^{10} - 81a^{16}b^{20}\\\\\to 9a^4b^{10}(2+3a^6b^5)(2-3a^6b^5)[/tex]

For point b:

Calculating the difference of squares:

[tex]A^2 - B^2 = (A+B)(A-B)\\\\36a^4b^{10}=(6a^2b^5)^2\\\\81a^{16}b^{20}=(9a^8b^{10})^2\\\\36a^4b^{10} - 81a^{16}b^{20}\\\\=(6a^2b^5+9a^8b^{10})(6a^2b^5-9a^8b^{10})\\\\=3a^2b^5(2+6a^6b^5)3a^2b^5(2-6a^6b^5)\\\\=9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]

Answer:

2 and 6, 1 and 5, 3 and 7, 4 and 8

Step-by-step explanation:

Any one of those would work

Answer: <1 and <5

Step-by-step explanation:

[tex]456+788-129\cdot \:9\\\\129\cdot \:9=1161\\\\456+788=1244\\\\1244-1161=83\\\\=83[/tex]

Answer:

The answer is 30.

Step-by-step explanation:

The given expression is :

3a+3b

Put a = 6 and b = 4 in the above expression.

3a+3b = 3(6) + 3(4)

= 18+12

= 30

Now put a = 4 and b = 6 in the above expression.

3a+3b = 3(4) + 3(6)

= 12+18

= 30

Hence, the answer in both case is same i.e. 30.

9x + 18 = 6(x + 3) + 3x = 3(3x + 6)

3x + 15 = 3(2x + 5) - 3x = x + 2x + 15

x = 15 ft

Step-by-step explanation:

x/20 = 6/8

or

x = (3/4)(20 ft)

= 15 ft

Answer:   (-4, -1)

This means x = -4 and y = -1 pair up together.

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

You're on the right track. You'll replace the 'x' with 3y-1, but you made a typo. I think you meant to write the subtraction symbol instead of the equal sign.

Here's what your steps could look like

-2x + 5y = 3

-2(3y-1) + 5y = 3

-6y + 2 + 5y = 3

-y + 2 = 3

-y = 3-2

-y = 1

y = -1

x = 3y-1

x = 3(-1) - 1

x = -3-1

x = -4

Therefore, (x, y) = (-4, -1) is the solution

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

As the steps above show, I replaced each copy of x in the second equation with (3y-1). This is due to x = 3y-1. From there, we isolate y. Once you determine that y = -1, it's plugged into the first equation to find x.

If you were to graph x = 3y-1 and -2x+5y = 3 on the same xy coordinate grid, then the two lines would intersect at (-4, -1)

Also, note how plugging x = -4 and y = -1 into the second equation leads to...

-2x+5y = 3

-2(-4)+5(-1) = 3

8 - 5 = 3

3 = 3

We get the same value on both sides, so that verifies the second equation. I'll let you verify the first equation.

Answer:

Step-by-step explanation:

Intersecting secants theorem:

Answer:

[tex](a)\ y = 0.25n +1[/tex]

[tex](b)\ \$16[/tex]

Step-by-step explanation:

Given

[tex]n \to days[/tex]

[tex]y \to amount[/tex]

[tex](n_1,y_1) = (5,2.25)[/tex]

[tex](n_2,y_2) = (21,6.25)[/tex]

Solving (a): Formula that represents the scenario.

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{n_2 -n_1}[/tex]

[tex]m = \frac{6.25-2.25}{21-5}[/tex]

[tex]m = \frac{4}{16}[/tex]

[tex]m = 0.25[/tex]

The equation is calculated using:

[tex]y = m(n - n_1) + y_1[/tex]

This gives:

[tex]y = 0.25(n - 5) + 2.25[/tex]

[tex]y = 0.25n - 1.25 + 2.25[/tex]

[tex]y = 0.25n +1[/tex]

Solving (b): Amount after 60 days late.

This means that:

[tex]n = 60[/tex]

So:

[tex]y = 0.25 * 60 + 1[/tex]

[tex]y = 15 + 1[/tex]

[tex]y = 16[/tex]

Answer:

12

Step-by-step explanation:

Answer:

Alright so youd havee to right the terms in order which should be easy then your done! Hope this helped!

Step-by-step explanation:

Answer:

x+26=37

Step-by-step explanation:

Answer: The slope between these two is 3.5

Answer:

Solpe=4.5

Step-by-step explanation:

Sorry if I’m wrong, but I think I got it.

So the formula for slope is    y2-y1/x2-x1  

In (-3,-2) )-7,-16),  -3 is x1, -2 is y1, -7 is x2, and -16 is y2.

Now, you need to fill in the formula with these numbers.

-16-2/-7- - 3

-16-2 is -18

-7- - 3 is -4 (two negatives make a positive)

This makes -18/-4. Divide this to get 4.5.

Let me know if you have any questions!! :)

Answer:

[tex]8x\sqrt{5x}[/tex]yz

Step-by-step explanation:

before you plug in this answer, is your correct equation [tex]\sqrt{320x^3} yz[/tex] or [tex]\sqrt{320x^3yz}[/tex]

9.5 for the brother 19/4 for the son and 19/5 for the daughter I think

Step-by-step explanation:

So 9.5 would be 10. 19/4 would be 5 and 19/5 would be 4

SO the brother would get 10 the son would get 5 and the daughter would get 4

Answer:

Brother-9.5

Son-19/4  

Daughter-19/5

Step-by-step explanation:

Also, pls help me on my phsyics Q3 work on graduation alliance. PLEASE PLEASE.

Answer:

the answer is B!

Step-by-step explanation:

i just took the exam!! i came here looking for an answer but decided to try it on my own since i couldnt find one.

Answer:

Order of the Matrix will be

[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]  

↓

[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]  

↓

[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]

Step-by-step explanation:

Given - The matrices are -

[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]

To find - Arrange the matrices in increasing order of their determinant values.

Proof -

Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex] is

= (2)(4) - (6)(3)

= 8 - 18

= -10

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]  = -10

Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] is

= (-2)(9) - (-7)(5)

= -18 + 35

= 17

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] = 17

Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex] is

= (6)(-8) - (6)(5)

= -48 - 30

= -78

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]  = -78

Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] is

= (2)(-5) - (4)(5)

= -10 - 20

= -30

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] = -30

Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] is

= (2)(4) - (5)(-2)

= 8 + 10

= 18

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] = 18

Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex] is

= (4)(2) - (-3)(5)

= 8 + 15

= 23

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]  = 23

Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex] is

= (3)(6) - (2)(4)

= 18 - 8

= 10

So,

Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]  = 10

Now,

Increasing order of Determinant is -

-78 < -30 < -10 < 10 < 17 < 18 < 23

So,

Order of the Matrix will be

[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]  

↓

[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]  

↓

[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]

↓

[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]

Answer:

Correct on Edmentum

Step-by-step explanation:

Answer:

25.55

Step-by-step explanation:

Let us take the number he thinked of be x .

On doubling it :-

→ N = 2x

On adding 19 :-

→ N = 2x + 19

According to Question :-

→ 2x + 19 = 70.1

→ 2x = 70.1 - 19

→ 2x = 51.1

→ x = 51.1/2

→ x = 25.55

Answer:

Step-by-step explanation:

it looks like the green four sided one,  has two,   the top and bottom ones, then also the blue four sided one ,  maybe the opposite sides are parallel to each other.  :)  

Answer:

8 nails

Step-by-step explanation:

because 4x2=8

Answer:

25 km

Step-by-step explanation:

[tex]\frac{5}{25} :\frac{y}{125}[/tex]

y · 25 = 5 · 125

25y = 625

25y ÷ 25 = 625 ÷ 25

y = 25

Answer:8 mph

Step-by-step explanation:

Answer:

Step-by-step explanation:

A i think

Answer:

x = 3

Step-by-step explanation:

Two triangles are similar

x/(x+3) = 4/8 cross multiply expressions

8x = 4x + 12

8x - 4x = 12

4x = 12 divide both sides by 4

x = 3

ANSWER: Here is the link where I answered this question

https://brainly.com/question/23634590?answering=true&answeringSource=feedPublic%2FhomePage%2F1