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2 years ago

CAn someone help me??

Mathematics

2 answers:

mamaluj [8]2 years ago

5 0

It’s 163:) u welcome

Helen [10]2 years ago

5 0

163 thanx to the person said it first

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Through: (2,5), perp. to y =- 2/3x +3

chubhunter [2.5K]

Find the equation of line passes through point (2, 5) and perpendicular to line having equation y =- 2/3x +3

<h3><u>Answer:</u></h3>

The equation of line passes through point (2, 5) and perpendicular to line having equation y =- 2/3x +3 in slope intercept form is $y = \frac{3}{2}x + 2$

<h3><u>Solution:</u></h3>

Given that line passes through (2, 5) and perpendicular to line having equation $y = \frac{-2}{3}x + 3$

Let us first find slope of original line

<em><u>The slope intercept form of line is given as:</u></em>

y = mx + c ------ eqn 1

Where "m" is the slope of line and "c" is the y - intercept

On comparing the slope intercept form y = mx + c and given equation of line $y = \frac{-2}{3}x + 3$ we get

$m = \frac{-2}{3}$

Thus slope of given line is $m = \frac{-2}{3}$

We know that product of slopes of given line and slope of line perpendicular to given line is always -1

Slope of given line x slope of line perpendicular to it = -1

$\begin{array}{l}{\frac{-2}{3} \times \text { slope of line perpendicular to it }=-1} \\\\ {\text { slope of line perpendicular to it }=\frac{3}{2}}\end{array}$

Let us find equation of line with slope $m = \frac{3}{2}$ and passes through (2, 5)

Substitute $m = \frac{3}{2}$ and (x, y) = (2, 5)

$5 = \frac{3}{2} \times 2 + c\\\\5 = 3 + c\\\\c = 2$

<em><u>Thus the required equation of line is:</u></em>

Substitute $m = \frac{3}{2}$ and c = 2 in eqn 1

$y = \frac{3}{2}x + 2$

Thus the equation of line perpendicular to given line is found out

5 0

2 years ago

Find the distance between m (-2,3) and n (8,2)

SVETLANKA909090 [29]

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -2}}\quad ,&{{ 3}})\quad 
% (c,d)
&({{ 8}}\quad ,&{{ 2}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[8-(-2)]^2+[2-3]^2}\implies d=\sqrt{(8+2)^2+(2-3)^2}
\\\\\\
d=\sqrt{10^2+(-1)^2}\implies d=\sqrt{101}$

7 0

3 years ago

Read 2 more answers

The canteen made 15 liters of soup. By the afternoon they had sold

babunello [35]

Answer:

11.25 liters

Step-by-step explanation:

(3 / 4) * (15 liters)

3 0

3 years ago

(01.02 MC)The number line shows the distance in meters of two divers, A and B, from a shipwreck located at point X:

Setler79 [48]

Answer:

Step-by-step explanation:

it is 3 difrent

5 0

3 years ago

Help please?

ziro4ka [17]

Answer:

cos(θ) = -1/2
tan(θ) = √3

Step-by-step explanation:

You know that ...

cos(θ)² = 1 - sin(θ)²
tan(θ) = sin(θ)/cos(θ)
cosine is negative in the third quadrant (where π < θ < 3π/2)

Using what you know about the relationships of these trig functions, you can find ...

cos(θ)² = 1 - ((-√3)/2)² = 1 - 3/4 = 1/4

cos(θ) = -1/2 . . . . . negative square root of 1/4

tan(θ) = sin(θ)/cos(θ) = ((-√3)/2)/(-1/2)

tan(θ) = √3

8 0

2 years ago