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3 years ago

15*\sqrt(72) (15 times root 72. I can't seem to enter a square root symbol)

Mathematics

1 answer:

Mazyrski [523]3 years ago

5 0

Answer:

Step-by-step explanation:ok so if you want too do the the root symbl on what

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Find the constant of variation for the quadratic variation. 6y=4x^2

AlladinOne [14]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
6y=4x^2\implies y=\cfrac{4x^2}{6}\implies y=\cfrac{2x^2}{3}\implies y=\stackrel{k}{\cfrac{2}{3}}x^2$

7 0

3 years ago

What is the equation of the line that passes through (-2,3) and is parallel to 2x+3y=6?

Vsevolod [243]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1:}$

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

Let $k:y=m_1x+b_1,\ l:y=m_2x+b_2$

then

$l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have the equation of a line:

$2x+3y=6$

Convert to the slope-intercept form:

$2x+3y=6$ subtract 2x from both sides

$3y=-2x+6$ divide both sides by 3

$y=-\dfrac{2}{3}x+2\to m_1=-\dfrac{2}{3}$

therefore the slope is $m_2=-\dfrac{2}{3}$

Put the value of the slope and the coordinates of the point (-2, 3) to the equation of a line:

$3=-\dfrac{2}{3}(-2)+b$

$3=\dfrac{4}{3}+b$ subtract 4/3 from both sides

$\dfrac{9}{3}-\dfrac{4}{3}=b\to b=\dfrac{5}{3}$

Finally:

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$

Convert to the standard form (Ax + By = C):

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$ multiply both sides by 3

$3y=-2x+5$ add 2x to both sides

$2x+3y=5$

$\bold{METHOD\ 2:}$

Let $k:A_1x+B_1y=C_1,\ l:A_2x+B_2y=C_2$ .

Lines k and l are parallel iff

$A_1=A_2\ \wedge\ B_1=B_2\to\dfrac{A_2}{A_1}=\dfrac{B_2}{B_1}$

We have the equation:

$2x+3y=6\to A_1=2,\ B_1=3$

then the equation of a line parallel to given lines has the equation:

$2x+3y=C$

Put the coordinates of the point (-2, 3) to the equation:

$C=2(-2)+3(3)\\\\C=-4+9\\\\C=5$

Finally:

$2x+3y=5$

4 0

3 years ago

Study the graph,

shusha [124]

Answer is C. Reflection in the line y=x

7 0

3 years ago

What is the likely means of measurement for the data in the chart below?

____ [38]

Answer:

Step-by-step explanation:

I might be wrong. I hope it helps:)

4 0

3 years ago

Read 2 more answers

Solve for x. A) 11 B) 9 C) 6 D) 7

DIA [1.3K]

Answer:

Step-by-step explanation:

Angle BCA is inscribed in that circle. The rule is that the inscribed angle is half the measure of the arc it intercepts. The arc it intercepts is arc AB which measures 96 degrees. That means that

$4x+4=\frac{1}{2}(96)$ and

4x + 4 = 48 and

4x = 44 so

x = 11

Choice A is the one you want.

8 0

3 years ago