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3 years ago

Expand and simplify (X+7)(x-9)

Mathematics

1 answer:

Lorico [155]3 years ago

5 0

Answer:

X²+16x-63

Step-by-step explanation:

expand out the brackets to get:

X²+9x+7x-63

simplify:

X²+16x-63

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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

3 years ago

A public rectangular-shaped pool is 15 m by 30 m. Public pools must be surrounded by a cement

n200080 [17]

Answer:

15m I think

Step-by-step explanation:

Sorry if im wrong

5 0

3 years ago

A laptop computer is normally $1299 but is discounted to $999. What percent of the original price does

Diano4ka-milaya [45]

Answer:

76.90%

Step-by-step explanation:

100/1299*999= 76.9053117783 - 100 = -23.0946882217

8 0

3 years ago

(a) determine the null and alternative hypotheses, (b) explain what it would mean to make a Type I error, and (c) explain what i

iren2701 [21]

Null: the mean amount of peanut butter in a jar is equal to 32 oz.
alternative: the mean amount of peanut butter in a Jar is less than 32oz.

type 1 error is is rejecting the null when it is actually true. this means that we would say that the mean amount of peanut butter is not equal to 32 when it actually is.

type 2 error is failing to reject the null when it is actually false. this means that we would say the mean amount of peanut butter is equal to 32 when in reality it is less.

3 0

3 years ago

Find the slope of the line containing the points (3,-2) and (-1,6)

dezoksy [38]

Answer: the answer is -2

Step-by-step explanation: use slope formula

3 0

4 years ago

Read 2 more answers