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3 years ago

13

Find the slope intercept equation of the line containing (2, -3) and having slope m= 4

1 answer:

erica [24]3 years ago

5 0

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = 4. Substitute:

$y=4x+b$

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

$-3=4(2)+b$

$-3=8+b$ <em>subtract 8 from both sides</em>

$-11=b\to b=-11$

<h3>Answer: y = 4x - 11</h3>

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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>

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67% as a fraction in simplest form

CaHeK987 [17]

It's 67/100 because a percent is out of 100 which is already simplified

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Answer:

Step-by-step explanation:

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on day 4 she reads - 55 pages

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a bakery worker ordered 3,000 eggs when only 300 eggs were needed. Which explains how many more eggs were ordered than were need

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Answer:

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A graph has quantity on the x-axis and price on the y-axis. A supply line goes through (10, 25), (20, 30), (30, 35), (40, 40).A

alexgriva [62]

Answer:

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Step-by-step explanation:

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