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netineya [11]
4 years ago
12

Determine whether the three points are collinear. ​(0, -10​), ​(-​3, -15​), ​(2,- 6​)

Mathematics
1 answer:
sashaice [31]4 years ago
6 0

Three points are collinear if their determinant is equal to 0

So,

| 0  -10 1 |

| -3 -15 1 |

| 2   -6 1 |

We must put 1 at the third column since we don't have z in these points, and 1 is a neutral factor.

Applying sarrus

( 0 . -15 . 1 + -10 . 1 . 2 + 1 . -3 . -6) - (1 . -15 . 2 + 0 . 1 . -6 + -10 . -3 . 1)

(0 - 20 + 18) - (-30 + 0 + 30)

(-2) - (0)

-2

Our determinant is different than 0, so these points are not collinear.

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4x+2y=4 put in slope intercept form. Complete table for x and y<br>​
musickatia [10]
Hi there! Putting this equation into a slope-intercept basically means solving for y. Move everything besides the constant of y and y to the other side giving you 2y=-4x+4. Divide both sides by 2 to give you y alone. This gives you y=-2x+2
Hope this helped!
8 0
3 years ago
A rectangle has a height of 5m^4 and a width of m^2-2m-1.
In-s [12.5K]

Answer:

area of the rectangle = 5(m⁶ - 2m⁵ - m⁴) or 5m⁴(m² - 2m - 1)

Step-by-step explanation:

The rectangle has a height of 5m⁴ and the width is m² - 2m - 1.The area of the rectangle is the product of the width and the height.

width =  m² - 2m - 1

height = 5m⁴

area of rectangle = 5m⁴ × (m² - 2m - 1)

area of rectangle = 5m⁴(m² - 2m - 1)

area of the rectangle = 5m⁶ - 10m⁵ -  5m⁴

area of the rectangle = 5(m⁶ - 2m⁵ - m⁴)

The area of the entire rectangle can be expressed as 5(m⁶ - 2m⁵ - m⁴) or 5m⁴(m² - 2m - 1)

8 0
3 years ago
Read 2 more answers
Drew invests $4000 at 6% for 5 years. How much interest does Drew earn? Remember the formula for simple interest is I=prt.
expeople1 [14]

Answer:

I = $1,200.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 4000 × 0.06 × 5 = 1200

I = $1,200.00

6 0
3 years ago
State the property that justifies each statement:1. If 80 mA, then me = 802. If RS - TU and TU = YP, then RS = YP2.3. If 7x 28,
BabaBlast [244]

Question 3

if 7x = 28

divide both sides by 7

7x/7 = 28/7

x = 4

This is division property of equality

Question 1

if angle m is 80 degrees the m = 80 degrees

this can be a congruent angles or alternate angles are equal

this is symmetric property of equality

Question 5

m1 = 30 and mz1 = m2, then m2 = 30

this property is transitive property of equality

Question 2

if RS - TU and TU =YP, then RS = YP

this means you can substitute RS with YP

then we have our new expression as

YP - YP

this is substitution property of equality, this is because we are substituting a function with another function

4 0
1 year ago
Triangle P Q R is shown. The length of P Q is 17, the length of Q R is 15, and the length of P R is 14. Law of cosines: a2 = b2
Maksim231197 [3]

Answer:

P = 57°

Step-by-step explanation:

Given the following :

PQ = 17

QR = 15

PR = 14

Using the cosine formula since the length of the three sides are given:

a2 = b2 + c2 – 2bccos(A)

To find P:

QR^2 = PQ^2 + PR^2 – 2(PQ)(PR)cos(P)

15^2 = 17^2 + 14^2 – 2(17)(14)cos(P)

225 = 289 + 196 - 476 cosP

476*CosP = 485 - 225

476*CosP = 260

CosP = 260/476

CosP = 0.5462184

P = Cos^-1(0.5462184)

P = 56.892029

P = 57°

8 0
3 years ago
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