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2 years ago

Factorise the following. x²-4

Mathematics

1 answer:

slava [35]2 years ago

7 0

(x-2)(x+2) is factorize is given eq

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What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.

Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

$y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)$

We have to find the distance of this point from y=2x+5

$y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0$

The formula for finding distance of a point (x,y) from a line is:

$d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}$

A=2

B=-1

C=5

Putting the values in the formula

$d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units$

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

#LearnwithBrainly

7 0

2 years ago

Am pls answer this sorry

Komok [63]

Answer:

16. 1

17. 3

18. 1

19. 1

20. 1

Step-by-step explanation:

I'm sorry that I don't speak in Filipino but I can help fill in the blanks.

(In brackets is the English translation)

12 pulgada = 1 piye (12 inch is 1 foot)

1 yard = 3 piye (1 yard is 3 feet)

10 sentimetro = 1 desimetro (10 centimeters is 1 decimeter)

1000 metro = 1 kilometro (1000 meters is 1 kilometer)

10 millimetro = 1 sentimetro (10 millimeters is 1 centimeter)

3 0

2 years ago

Put these numbers in descending order. 0.251 0.18 0.7 0.171

Nikolay [14]

Answer: 0.7, 0.251, 0.18, 0.171

Step-by-step explanation:

3 0

3 years ago

Suppose you start an annuity where you invent$2,000 at the beginning or each year and 4% interest is paid at the end of the year

dimulka [17.4K]

I believe $80 dollars would be 4% of 2,000

7 0

2 years ago

Read 2 more answers

Find the common ratio of the following geometric sequence.

Elanso [62]

The answer is (4/5). If you multiply the first (5/12) over and over, you get this sequence.

8 0

2 years ago

Factorise the following. x²-4​

Factorise the following. x²-4