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Goshia [24]
3 years ago
7

A system of equations is created by using the line represented by2x+4y=0And the line represented by the data in the table below

Mathematics
1 answer:
vekshin13 years ago
5 0

Answer:

x = 2

Step-by-step explanation:

From the data, we obtain the slope :

-1, 8 ; 3, - 4

Slope = Rise / run

Rise = y2 - y1 = (-4 - 8) = - 12

Run = x2 - x1 = (3 - (-1)) = 4

Slope, m = - 12 / 4 = - 3

Recall:

Equation of line :

y - y1 = m(x - x1)

y - 8 = - 3(x + 1)

y - 8 = - 3x - 3

y = - 3x - 3 + 8

y = - 3x + 5

Substituting y = - 3x + 5 into the equation 2x+4y= 0

2x + 4(-3x + 5) = 0

2x - 12x + 20 = 0

-10x = - 20

x = 2

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Micheal was asked to give examples of the identity property of addition and identity multiplication. Below are his answers.
xxMikexx [17]

Answer:

identity property of addition-

a+0=a

identity property of multiplication-

a*1=a

Step-by-step explanation:

i cant give u an exact answer as u didnt give Micheals answers so i just gave some examples about what addition and multiplication identity property should look like. Identity property's concept is to keep the same identity. Basically, "a" shouldnt change. In addition, to keep a the same all u hv to do is add 0 as anything plus 0 is the same. for multiplication, just multiply by 1. Hope this helps!!

5 0
3 years ago
Please help! If possible please show your work. Thank you in advance!! :D
Rudiy27

Answer:

  • (-4)³ = -64
  • -64

Step-by-step explanation:

The first step in solving the equation is to cube both sides:

  (∛x)³ = (-4)³ . . . . . = (-4)(-4)(-4) = 16(-4) = -64

  x = -64 . . . . . simplified

__

We're not sure what "checking" is supposed to involve here. Usually, one would check the answer by seeing if a true statement is made when the answer is put into the original equation.

  ∛(-64) = -4 . . . true

Many calculators will not compute √(-64) because they compute roots using logarithms. The log of a negative number is not defined.

So, the way one would check this is to cube both sides, which is how we got the answer in the first place. We expect the same result from doing the same operation again, so it isn't really a check.

6 0
2 years ago
Find the distance between the points (2,0) and (-4,6)
N76 [4]

Answer:

You have to move 6 times to the left and 6 times down.

Step-by-step explanation:

If you're at (2,0), you move 2 times to the left, and then you're at (0,0).

Next move 4 times to the left. Now you're at (-4,0).

Now, move 6 times down, and now, you're at (-4,-6).  

7 0
3 years ago
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Find the perimeter and area of a rectangle of cardboard measuring 14.1 cm by 6.5 cm
allsm [11]

Answer:

perimeters =41.2

area=91.65

Step-by-step explanation:

rectangle Perimeter(<em>p</em>) Area (<em>A</em>)

L=length 2 (L+W) L×W

W=width

8 0
3 years ago
Read 2 more answers
a car uses 9 gallons of gasoline to go 162 miles. how many gallons of gasoline will the same car use to travel 216 miles?
Ber [7]

Answer:

12\ gallons

Step-by-step explanation:

<u>Step 1:  Determine the unit rate</u>

Miles / Gallons

162\ miles / 9\ gallons

18\ miles/gallon

<u>Step 2:  Determine the amount of gasoline used for 216 miles</u>

216\ miles * (gallon / 18\ miles)

12\ gallons

Answer:  12\ gallons

8 0
2 years ago
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