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klasskru [66]
2 years ago
14

Given two equations of lines : y=-2x+4 and -2y= 4x-8 how do the lines compare

Mathematics
2 answers:
Gelneren [198K]2 years ago
8 0

Answer:

The lines are the same if you divide both sides by -2 for the equation:-2y=4x-8 to get a slope formula. As you can see, after doing that, the equations are the same.

Step-by-step explanation:

y=-2x+4

-2y=4x-8

-2y/-2=(4x-8)/2

y=-2x+4

dem82 [27]2 years ago
5 0

Answer:

They are the same line

Step-by-step explanation:

When you have equations of line and want to compare them, make sure the y is isolated (by itself)

the second equation -2y = 4x-8 is not isolated

To isolate, divide both sides by -2

\frac{-2y}{-2} =y

\frac{4x-8}{-2} = -2x+4

Now you have y=-2x+4, which is the same equation as the first!

(remember that if you divide a negative number by a negative number, you will get a positive one)

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Using sigma notation write the geographic series: 6+12+24+48+96
Alika [10]

Answer:

$$\sum_{n=1}^{5} 6(2^{n-1}) $$

Step-by-step explanation:

6 + 12 + 24 + 48 + 96 =

= 6 + 6 * 2 + 6 * 4 + 6 * 8 + 6 * 16

= 6 + 6 * 2^2 + 6 * 2^2 + 6 * 2^3 + 6 * 2 * 4

= 6 * 2^(n - 1)

$$\sum_{n=1}^{5} 6(2^{n-1}) $$

4 0
3 years ago
Who knows this, Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15
kakasveta [241]

Answer:

165

Step-by-step explanation:

First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate.  Then, you substitute all the values that you provided for the angles.  15x+15=x+15+140.  You then solve for x.

15x+15=x+155

14x=140

x=10

You then plug back in 10 for X in the value of m<UTS.  15(10)+15=165

5 0
3 years ago
Describe a pattern you notice when adding the sums of fractions with even denominators as opposed to those with odd denominators
GuDViN [60]
When adding fractions with even denominators, you will not get a whole number, there will be a 1/2. When adding fractions with odd denominators there will be a whole number.
8 0
3 years ago
Read 2 more answers
Calculate the average speed (tin km/hr) of charlie who run to the store 4 km away in 30 minutes
Galina-37 [17]

ANSWER

8km/hr

EXPLANATION

The average speed

=  \frac{distance}{time}

Distance=4km

Time=30mins

Convert time to hours.

Time =0.5hrs

The average speed

=  \frac{4}{0.5}

= 8km/hr

8 0
3 years ago
Expand and simplify <img src="https://tex.z-dn.net/?f=%20%283x-2%29%5E%7B2%7D%20" id="TexFormula1" title=" (3x-2)^{2} " alt=" (3
Rus_ich [418]
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

(a - b)^2 = a^2 - 2ab - b^2

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.
7 0
3 years ago
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