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1 year ago

Find an equation for the line with the given properties. Express your answer using either the general form or

Mathematics

1 answer:

svet-max [94.6K]1 year ago

7 0

The equation of the line in slope-intercept form is y = 9 · x + 85.

<h3>How to derive the equation of a line in slope-intercept form</h3>

In this question we must determine the equation of a line in slope-intercept form that is parallel to y = 9 · x and that contains the point (x, y) = (- 9, 4). Two lines are parallel when they share the same slope and have two different intercepts. The line equation in slope-intercept form is described below:

y = m · x + b

Where:

m - Slope
b - Intercept
x - Independent variable
y - Dependent variable

If we know that (x, y) = (- 9, 4) and m = 9, then the intercept of the equation is:

b = 4 - 9 · (- 9)

b = 4 + 81

b = 85

The equation of the line is y = 9 · x + 85.

To learn more on equations of the line: brainly.com/question/2564656

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The average amount that a college student spends on a textbook is $205. What is the probability that a students spends between $

garri49 [273]

Complete question :

The average amount that a college student spends on a textbook is $205 with a

standard deviation of $35. What is the probability that a student spends:

A. between $10 and $310?

Answer:

0.999

Step-by-step explanation:

Mean, m = 205 ; Standard deviation, s = 35

Z = (x - m) / s

x = 310

Z = (310 - 205) / 35 = 3

P(z < 3) = 0.99865

x = 10

Z = (10 - 205) / 35 = - 5.57

P(Z < - 5.5)

P(z < 3) - P(z < - 5.5)

0.99865 - 0

= 0.999

5 0

3 years ago

Find the value of the variable.

melamori03 [73]

Answer:

x = 16, y = 16√3

Step-by-step explanation:

x = 32/2 = 16

y = 16(√3) = 16√3

6 0

3 years ago

Pls help! <br> and a reason.

Rasek [7]

Answer:

$\angle BDA = 72^{\circ}$

$\angle DAB = 36^{\circ}$

$\angle BDC = 108^{\circ}$

$\angle BCD = 36^{\circ}$

$\angle DBC = 36^{\circ}$

Step-by-step explanation:

Given

$\angle ABD = 72^{\circ}$

Required

Determine the missing angles

Since AB = AD, then:

$\angle ABD = \angle BDA$ --- Base angles of an isosceles triangle

Hence:

$\angle ABD = \angle BDA = 72^{\circ}$

$\angle ABD + \angle BDA + \angle DAB = 180^{\circ}$ --- angles in a triangle

$72^{\circ} + 72^{\circ} + \angle DAB = 180^{\circ}$

$144^{\circ} + \angle DAB = 180^{\circ}$

Collect Like Terms

$\angle DAB = 180^{\circ} - 144^{\circ}$

$\angle DAB = 36^{\circ}$

$\angle BDA + \angle BDC = 180^{\circ}$ --- angle on a straight line

$72^{\circ} + \angle BDC = 180^{\circ}$

$\angle BDC = 180^{\circ} - 72^{\circ}$

$\angle BDC = 108^{\circ}$

Since ABC is isosceles, then:

$\angle DAB = \angle BCD = 36^{\circ}$ --- base angle of isosceles

$\angle BCD = 36^{\circ}$

Lastly:

$\angle BCD + \angle BDC + \angle DBC = 180^{\circ}$

$36^{\circ} + 108^{\circ} + \angle DBC = 180^{\circ}$

$\angle DBC = 180^{\circ} - 36^{\circ} - 108^{\circ}$

$\angle DBC = 36^{\circ}$

<em>See attachment</em>

3 0

3 years ago

Need help with this question plz.....

katrin2010 [14]

Answer:

x=3

Step-by-step explanation:

5x+9 = 24

Subtract 9 from each side

5x+9-9 = 24-9

5x = 15

Divide each side by 5

5x/5 = 15/5

x =3

3 0

3 years ago

Eights rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other r

lbvjy [14]

Answer:

$4.51\times10^{-10}$

Step-by-step explanation:

There are only 2 solutions for none of the rooks can capture any of the other rooks: only if they are laid out in either of the 2 diagonal of the chess board

The number of possible combination for the rock to laid out in 8x8 (64 slots) chess board

$\frac{64 * 63 * 62 * 61 * 60 * 59 * 58 * 57}{8!} = \frac{1.78\times10^{14}}{40320} = 4426165368$ possible combination

So the probability is pretty thin

$P = 2 / 4426165368 = 4.51\times10^{-10}$

4 0

4 years ago