All categories

2 years ago

Write in slope-intercept form an equation of the line that passes through the point (3,−5) with slope −4.

Mathematics

1 answer:

marishachu [46]2 years ago

8 0

Answer:

y=-4x+7

Step-by-step explanation:

You put the points on a graph in desmos and then in a new line put the y=-4x+ and Playa round with numbers until you hit the point

You might be interested in

Find the measures of the three angles, in radians, of the triangle with the given vertices: d(1,1,1), e(1,−5,2), and f(−2,2,7).

Oduvanchick [21]

Consider triangle DEF with vertices D(1,1,1), E(1,-5,2) and F(-2,2,7).

1. Find

$\overrightarrow{DE}=(1-1,-5-1,2-1)=(0,-6,1),\\ \\\overrightarrow{DF}=(-2-1,2-1,7-1)=(-3,1,6).$

Then

$\cos \angle D=\dfrac{0\cdot (-3)+(-6)\cdot 1+1\cdot 6}{\sqrt{0^2+(-6)^2+1^2}\cdot \sqrt{(-3)^2+1^2+6^2}}=\dfrac{0}{\sqrt{37} \cdot \sqrt{46} }=0.$

2. Find

$\overrightarrow{ED}=(1-1,1-(-5),1-2)=(0,6,-1),\\ \\\overrightarrow{EF}=(-2-1,2-(-5),7-2)=(-3,7,5).$

Then

$\cos \angle E=\dfrac{0\cdot (-2)+6\cdot 7+(-1)\cdot 5}{\sqrt{0^2+6^2+(-1)^2}\cdot \sqrt{(-3)^2+7^2+5^2}}=\dfrac{37}{\sqrt{37} \cdot \sqrt{83} }=\sqrt{\dfrac{37}{83}}.$

3. Find

$\overrightarrow{FE}=(1-(-2),-5-2,2-7)=(3,-7,-5),\\ \\\overrightarrow{FD}=(1-(-2),1-2,1-7)=(3,-1,-6).$

Then

$\cos \angle F=\dfrac{3\cdot 3+(-7)\cdot (-1)+(-5)\cdot (-6)}{\sqrt{3^2+(-7)^2+(-5)^2}\cdot \sqrt{3^2+(-1)^2+(-6)^2}}=\dfrac{46}{\sqrt{83} \cdot \sqrt{46} }=\sqrt{\dfrac{46}{83}}.$

$\angle E=\arccos0=\dfrac{\pi}{2},\\ \\
\angle D=\arccos\letf(\sqrt{\dfrac{37}{83}}\right)\approx 0.27\pi,\\ \\
\angle F=\arccos\letf(\sqrt{\dfrac{46}{83}}\right)\approx 0.23\pi.$

3 0

2 years ago

A quadrilateral has angles that measure 56°, 97°, and 136°.

Serhud [2]

The sum of the interior angles can be represented by:
180(n-2)
180 x 2 = 360
Therefore, the sum of the angles must be 360.

56 + 97 + 136 = 289
360 - 289 = 71<span>°

Hope I helped!</span>

6 0

2 years ago

Read 2 more answers

A quality assurance manager of a clothing manufacturer inspected 2000 items from his production line.

Anna35 [415]

2000*0.013=26
26 faulty items

4 0

2 years ago

What is 9+9n=9 show work please

strojnjashka [21]

9 + 9n = 9

*subtract 9 from both sides

9n = 0

*divide both sides by 9

n = 0/9 = 0

n = 0

6 0

2 years ago

Read 2 more answers

Melissa works for a florist. She used her employee discount to purchase 10 roses at $1.00 each. If melissa saved $4.00 by using

cestrela7 [59]

Answer: $1.4

Step-by-step explanation:

Given that:

Discounted price roses = $1

Amount saved = $4

Regular price - discounted price = amount saved

x - 10(1) = 4

x - 10 = 4

x = 4 + 10

x = $14

Regular price of 10 roses = $14

Regular price per rose = $14 / 10 = $1.4

6 0

2 years ago