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2 years ago

A young oak tree is planted when it is 5 cm tall. It grows 3 cm every month. Write an equation to describe its growth

Mathematics

1 answer:

Naily [24]2 years ago

8 0

Answer:

y=3x+5

Since it's already 5 cm we have +5

every month it would go up by 3 cm so we have 3 and x is to represent the # of months.

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Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar

Brrunno [24]

The distance between the two points is $d=8.6m$

The polar coordinate of A is $\left(4.47,296.57\right)$

The polar coordinate of B is $\left(4.24,135\right)$

Explanation:

The two points are $A(2,-4)$ and $B(-3,3)$

The distance between two points is given by,

$d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6$

Thus, the distance between the two points is $d=8.6m$

The polar coordinates of A can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $A(2,-4)$ , we get,

Distance = $\sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43$

To make the angle positive, let us add 360,

$\theta=360-63.43=296.57$

The polar coordinate of A is $\left(4.47,296.57\right)$

Similarly, The polar coordinate of B can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $B(-3,3)$ , we get,

Distance = $\sqrt{(3)^{2}+(3)^{2}}=4.24$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45$

To make the angle positive, let us add 360,

$\theta=180-45=135^{\circ}$

The polar coordinate of B is $\left(4.24,135\right)$

5 0

2 years ago

Question 14(1 point)Find the rate of change of Pete's height from 3 to 5 years.17.Time (years) 123 4 15 16Height/in.) 27 35 37 4

kupik [55]

The rate of change of Pete's height from 3 to 5 years can be determined as,

$\begin{gathered} \frac{\Delta H}{\Delta t}=\frac{H_5-H_3_{}}{5-3} \\ =\frac{45-37}{2} \\ =\frac{8}{2} \\ =4 \end{gathered}$

Thus, the required rate of change from 3 to 5 years is 4 in/year.

5 0

1 year ago

Help please hurry need help

Misha Larkins [42]

Answer:

1: D

2: B

3: y=-4x+22

4: y=-8x+26

Step-by-step explanation:

1: Parallel lines have the same slope, and the only one with a slope of 3x is D

2: Perpendicular lines have an opposite slope, so a line with a slope of -1/2 would be 2, so you just flip the number and add or take away a negative sign, depending on the original slope

3: Like I said before, perpendicular lines have an opposite slope, so the slope would be -4. After you've figured that out, you just plug in the numbers given to you (and remember, x is first, y is last)

Plug in: 6=-4(4)+b

You would then solve for b.

6=-16+b

22=b

Then plug that into y=mx+b, with m being the slope (-4) and b being the y intercept (22)

4: The process for finding parallel and perpendicular lines is very similar, except you don't have to change the slope.

Plug in: 10=-8(2)-b

10=-16+b

26=b

Again, plug that into the equation y=mx+b

Hope I could be of help! Sorry if it doesn't make sense, this is my first time on this website.

5 0

3 years ago

Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.

Colt1911 [192]

Answer:

3000$

Step-by-step explanation:

20 x 150=3000

5 0

2 years ago

Read 2 more answers

Are any of the figures B, C, or D scaled coples of figure A? Explain how you know.

belka [17]

Answer:

Step-by-step explanation:

C is the only one that is an enlarged version of A.

3 0

3 years ago