A gardener is planting two types of trees: Type A is 36 inches tall and grows at a rate of 15 inches per year. Type B is 48 inches tall and grows at a rate of 10 inches per year. a. Model the situation as a system of linear equations. Use x to represent the number of year and y to represent the height of each tree. b. Determine exactly how many years it will take for these trees to be the same height. You can check in Desmos for the answer, but you must show all algebraic work. c. What is the height of the tree at that point?​

Answer:

Height = 7

Step-by-step explanation:

35*2

70

70/10

7

Answer:

The new set of coordinates are [tex]E'(x,y) = (-6,-12)[/tex], [tex]F'(x,y) = (12,-30)[/tex], [tex]G'(x,y) = (30,-6)[/tex] and [tex]H'(x,y) = (6,6)[/tex].

Step-by-step explanation:

Vectorially speaking, dilation can be defined by this equation:

[tex]D'(x,y) = O(x,y) +k\cdot (D(x,y)-O(x,y))[/tex] (1)

Where:

[tex]O(x,y)[/tex] - Center of dilation.

[tex]D(x,y)[/tex] - Original point.

[tex]k[/tex] - Scale factor.

[tex]D'(x,y)[/tex] - Dilated point.

Let suppose that center of dilation is located at origin, we determine the new set of coordinates below:

[tex]E'(x,y) = O(x,y) +k\cdot (E(x,y)-O(x,y))[/tex]

[tex]E'(x,y) = (0,0) +6\cdot (-1,-2)[/tex]

[tex]E'(x,y) = (-6,-12)[/tex]

[tex]F'(x,y) = O(x,y) + k\cdot (F(x,y)-O(x,y))[/tex]

[tex]F'(x,y) = (0,0) +6\cdot (2,-5)[/tex]

[tex]F'(x,y) = (12,-30)[/tex]

[tex]G'(x,y) = O(x,y) + k\cdot (G(x,y)-O(x,y))[/tex]

[tex]G'(x,y) = (0,0) + 6\cdot (5,-1)[/tex]

[tex]G'(x,y) = (30,-6)[/tex]

[tex]H'(x,y) = O(x,y) +k\cdot (H(x,y)-O(x,y))[/tex]

[tex]H'(x,y) = (0,0) + 6\cdot (1,1)[/tex]

[tex]H'(x,y) = (6,6)[/tex]

The new set of coordinates are [tex]E'(x,y) = (-6,-12)[/tex], [tex]F'(x,y) = (12,-30)[/tex], [tex]G'(x,y) = (30,-6)[/tex] and [tex]H'(x,y) = (6,6)[/tex].

Answer:

d

Step-by-step explanation:

Answer: 3.66m

Step-by-step explanation:

If 3 feet is 0.9144 and you have 12ft, you first need to divide the 12 by 3 and you get 4. Now that you have the scale factor you multiply the 0.9144 by 4 and you get 3.6576 but they want it to the nearest hundredth (second number after the decimal point) so the answer will be 3.66m

Answer:

[tex]\$527.2[/tex]

Step-by-step explanation:

[tex]r_i[/tex] = Inner radius

Inner circumference = 4.5 m

[tex]2\pi r_i=4.5\\\Rightarrow r_i=\dfrac{4.5}{2\pi}\\\Rightarrow r_i=\dfrac{2.25}{\pi}[/tex]

[tex]r_o[/tex] = Outer radius

Outer circumference = 4.6 m

[tex]2\pi r_o=4.6\\\Rightarrow r_o=\dfrac{4.6}{2\pi}\\\Rightarrow r_o=\dfrac{2.3}{\pi}[/tex]

h = Height of cylindrical pipe = 8 m

Total surface area to be painted

[tex]s=\pi r_i^2h+\pi r_o^2h\\\Rightarrow s=\pi h(r_i^2+r_o^2)\\\Rightarrow s=\pi\times 8((\dfrac{2.25}{\pi})^2+(\dfrac{2.3}{\pi})^2)\\\Rightarrow s=26.36\ \text{m}^2[/tex]

Cost of painting 1 square meter is 20

Cost of painting the inner and outer surfaces is [tex]20\times 26.36=\$527.2[/tex]

The total cost painting the surfaces is [tex]\$527.2[/tex].

Answer:

x=12

Step-by-step explanation:

subtract each side by five since it is the inverce oporation

Answer:

toffee packet

Answer:

The angles in an equilateral triangle are always 60°. When a triangle has two congruent sides it is called an isosceles triangle. The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle.

I hope it's helpful!

Answer:

Step-by-step explanation:

29 5x+8+x+4=90

6x=78

x=13

30 3x-7+11x-1=90

14x=98

x=7

31 3x+x+8=180

4x=172

x=43

32 6x-1+5x-17=180

11x=198

x=18

the answer is 11

-4 - (-15) = 11

Answer:

....................

Step-by-step explanation:

.................

You see how these 2 angles marked are both inside the 2 parallel lines?

And they are on opposite side of the transversal, the line crossing the 2 parallel lines?

These 2 angles are alternate interior angles and they are equal, I think you can do the last part by yourself.

Answer:

y = 7

Step-by-step explanation:

3y+9 = 2y+16, subtract 9 from both sides, 3y = 2y + 7, then subtract 2y from both sides, y = 7, and that's the answer

Answer:

7

Step-by-step explanation:

Answer:

14.7 feet and 20.2 feet

Step-by-step explanation:

sin 36(25)=14.7

cos 36(25)=20.2

Answer: Hannah and Omar Only

Step-by-step explanation:

Self explanatory

Hannah and Omar Only used a formula that will help them prove the relationship.

A line drawn parallel to one side of a Δ divides the other two sides in the same ratio.

Given

To prove that DE divides AB and AC proportionally.

Construction: If DE is not parallel to BC, draw DF meeting AC at F.

Proof: In ΔABC, let DF || BC

[tex]\rm \dfrac{AD}{DB}=\dfrac{AC}{FC}\\\\[/tex]

A line drawn parallel to one side of a Δ divides the other two sides in the same ratio.

[tex]\rm \dfrac{AD}{DB}=\dfrac{AE}{EC}\\\\[/tex]

From (i) and (ii), we get

[tex]\rm \dfrac{AD}{DB}=\dfrac{AC}{FC}=\rm \dfrac{AE}{EC}\\\\[/tex]

Hence, Hannah and Omar Only used a formula that will help them prove the relationship.

To know more about proportionally click the link given below.

https://brainly.com/question/24937635

Answer:

J =51

Step-by-step explanation:

Your welcome! Have a great day!

Answer:

-4 / 7

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

m = (7 - 3) / (2 - 9)

m = 4 / -7

m = -4 / 7

OR

m = (y2 - y1) / (x2 - x1)

m = (3 - 7) / (9 - 2)

m = -4 / 7

Answer:

This does not make sense

Step-by-step explanation:

Answer: x3 • (x6 - x3 - 1)

Step-by-step explanation:Changes made to your input should not affect the solution:

(1): "x3"   was replaced by   "x^3".  2 more similar replacement(s).

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  x9 - x6 - x3  =   x3 • (x6 - x3 - 1)

Trying to factor by splitting the middle term

2.2     Factoring  x6 - x3 - 1

The first term is,  x6  its coefficient is  1 .

The middle term is,  -x3  its coefficient is  -1 .

The last term, "the constant", is  -1

Step-1 : Multiply the coefficient of the first term by the constant   1 • -1 = -1

Step-2 : Find two factors of  -1  whose sum equals the coefficient of the middle term, which is   -1 .

     -1    +    1    =    0

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 x3 • (x6 - x3 - 1)

Answer:

9/16

Step-by-step explanation:

First, note that 10000 multiplied by .5625 will get rid of the decimal point. Therefore, make a fraction where the numerator is .5625 times 10000 and denominator is 10000 like this:

.5625 x 10000

10000

Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:

5625 /10000

The greatest common factor of 5625 and 10000 is 625, which means you can divide the numerator and denominator by 625 and keep the same value:

5625 ÷ 625 /10000 ÷ 625

And when calculating the numerator and denominator in our fraction above, we get .5625 as a fraction in the simplest form possible:

 .5625  =  

9 /16

Answer:

x=−1 or x=1 or x=−7

Step-by-step explanation:

x3+7x2−x−7=0

Step 1: Factor left side of equation.

(x+1)(x−1)(x+7)=0

Step 2: Set factors equal to 0.

x+1=0 or x−1=0 or x+7=0

x=−1 or x=1 or x=−7

Answer:

x=-7,-1,1

Step-by-step explanation:

Answer:

13+37=50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

=8b + 5

Step-by-step explanation:

do you need an explantion

Answer:

8b + 5

Step-by-step explanation:

By consulting the table below, you will find how I got 8b + 8, and then

Since 8 and -3 are like terms, I put them together

8 - 3 = 5

So in the simplest form the equation is

8b + 5

Answer:

308

Step-by-step explanation:

Hello the answer is

14 times 44 = 616

then do 616 divided by 2 because half = 308

Answer:

nvm :(

Explanation:

Answer:

5a+13

40k+8

19p+13

Step-by-step explanation:

Just using the distribution property and combining like terms :)

Answer:

5,040

Step-by-step explanation:

10x9x8x7 = 5,040

Using the permutation formula, it is found that 5040 passwords are possible.

The order is important, as 1234 is a different password than 2134, for example, hence the permutation formula is used to solve this question.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 4 digits are taken from a set of 10, hence:

[tex]P_{(10,4)} = \frac{10!}{6!} = 5040[/tex]

5040 passwords are possible.

You can learn more about the permutation formula at https://brainly.com/question/25925367

Answer:

Well it’s greater bc 23 is greater than 16

Step-by-step explanation:

I don’t know if u needed this or something else

Answer:

7

Step-by-step explanation: