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3 years ago

5

Find the equation of the line passing through the points A(3,2) and B(6,3)

1 answer:

icang [17]3 years ago

5 0

Answer:

y = $\frac{1}{3} x+1$

Step-by-step explanation:

m = $m = \frac{change in y}{change in x} \\m = \frac{3 - (2)}{6 - (3)}\\m = \frac{1}{3} \\Find the value of b using the equation of a line \\y = mx+b\\y =( \frac{1}{3} )x + b\\2 =( \frac{1}{3} ) * (3) + b\\cancel common factor\\1 + b = 2\\b = 1\\y = \frac{1}{3} x + 1$

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Here's the question, please help!

nata0808 [166]

Answer:

None of these

Step-by-step explanation:

To convert the parametric curve into Cartesian form,
rewrite the equation for $x$ to make $\sin t$ the subject:

$x=2\sin t$

$\implies \sin t=\dfrac{x}{2}$

Substitute this into the given equation for $y$ :

$\begin{aligned}y & =3 \sin t\\\implies y & = 3 \left(\dfrac{x}{2}\right)\\y& = \dfrac{3}{2}x\end{aligned}$

Therefore, the Cartesian form of the parametric curve is:

$y=\dfrac{3}{2}x$

<u>Further Information</u>

<u />

$\dfrac{x^2}{2}+\dfrac{y^2}{3}=1 \quad \textsf{is the equation of a vertical ellipse}$

$\textsf{with center (0, 0), co-vertex }\sf \sqrt{2}, \textsf{ and vertex }\sqrt{3}$

$x^2+y^2=6 \quad \textsf{is the equation of a circle}$

$\textsf{with center (0, 0) and radius }\sf \sqrt{6}$

$3x^2+2y^2=1 \quad \textsf{is the equation of a vertical ellipse}$

$\textsf{with center (0, 0), co-vertex }\sf \dfrac{\sqrt{3}}{3}, \textsf{ and vertex }\dfrac{\sqrt{2}}{2}$

6 0

2 years ago

Read 2 more answers

Clare estimates that her brother is 4 feet tall. When they get measured at the doctor's office,

avanturin [10]

Answer:

2 inches

Step-by-step explanation:

Since his actual height was 4 feet and 2 inches, instead of the estimate of 4 feet, the difference was 2 inches.

This means the error in inches was also 2 inches, since the estimated height was 2 inches lower than the one at the doctor's office.

So, the error is 2 inches

5 0

3 years ago

A shoreline is eroding at a rate of 1/3 foot per 2 months how many feet are eroding this year

mylen [45]

Answer:

2 feet

Step-by-step explanation:

The shoreline is eroding at 1/3 foot per 2 months. There are 12 months in a year so you multiply 1/3 x 6 and you get 2.

8 0

2 years ago

Alison is playing a video game. At the end of each level, the player is given either a bag of gold or a magic wand.

Shkiper50 [21]

Outcome Bag of Gold Magic Wand

Relative frequency 0.32 0.68

The relative frequency of getting a bag of gold is .......... reasonably close

.32 is close to 30% so

Alison's claim about the theoretical probability is likely to be 2............true

Further, this means that the theoretical probability of getting a magic wand is most likely 3............1 - 30% = 70%

5 0

3 years ago

Question 3 of 10<br> Which of the following expressions is equivalent to the expression (n + 4)3?

NARA [144]

Answer:

3n+12

Step-by-step explanation:

(n+4)3=

3n+12

Just multiply the number and variable inside the parentheses by 3

5 0

3 years ago