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2 years ago

Help pls: maths. 15 points for it!

Mathematics

1 answer:

Svetlanka [38]2 years ago

6 0

Answer:

given below.

Step-by-step explanation:

BAC = 80 degree

AZC = 80 degree

BZE = 80 degree

ZCE = 40 degree

CZE = 40 degree

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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

Harman [31]

ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

$- \frac{2}{3} m_2= - 1$

This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

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

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

6 0

3 years ago

How do I write y - 4 = 2/3 (x + 1) in standard form?

steposvetlana [31]

Answer:

2x - 3y = -14

Step-by-step explanation:

6 0

3 years ago

Manuel bought x x movie tickets for $6.50 each and y y bags of popcorn for $2.50 each. write an algebraic expression for the tot

Alekssandra [29.7K]

6.50x+2.50y = total
with x = # of movie tickets
with y= # of bags of popcorn

5 0

3 years ago

What is the slope of the line that passes through the pairs of points (-6,8) (2'3)

Alecsey [184]

Im pretty sure the answer is D, because if i used the right formula,
$\frac{y2 - y1}{x2 - x1}$
you should get this in the formula
$\frac{8 - 3}{2 - ( - 6)}$
$\frac{5}{8}$
a 2 subtracting a negative 6 makes it a positive, meaning your just adding 6 plus2, to get 8

6 0

3 years ago

PLEASE HELP!!! Solve for y.

ivolga24 [154]

- 2.1 = y/6 + 17.1
- 2.1 - 17.1 = y/6
- 19.2 = y/6
19.2*6 = y
-115.2 = y

So y = - 115.2.

Hope this helps ! This "/" is a fraction.

Photon

5 0

3 years ago