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3 years ago

The rectangle below has an area of 81- x^2 square meters and a width of 9 - x meters

Mathematics

1 answer:

sveta [45]3 years ago

6 0

Answer:

The width would be 9 + x

Step-by-step explanation:

In order to find this, we must first factor the area. This will give us two things that are being multiplied together.

81 - x^2 = (9 - x)(9 + x)

Since the area is the length times the width and the width is x - 9, we know the length must be x + 9

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Solving systems of equations using any method

andreev551 [17]

Answer:

x = 5 , y = 2

Step-by-step explanation:

Solve the following system:

{y = (7 x)/5 - 5 | (equation 1)

{y = (3 x)/5 - 1 | (equation 2)

Express the system in standard form:

{-(7 x)/5 + y = -5 | (equation 1)

{-(3 x)/5 + y = -1 | (equation 2)

Subtract 3/7 × (equation 1) from equation 2:

{-(7 x)/5 + y = -5 | (equation 1)

{0 x+(4 y)/7 = 8/7 | (equation 2)

Multiply equation 1 by 5:

{-(7 x) + 5 y = -25 | (equation 1)

{0 x+(4 y)/7 = 8/7 | (equation 2)

Multiply equation 2 by 7/4:

{-(7 x) + 5 y = -25 | (equation 1)

{0 x+y = 2 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{-(7 x)+0 y = -35 | (equation 1)

{0 x+y = 2 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 5 | (equation 1)

{0 x+y = 2 | (equation 2)

Collect results:

Answer: {x = 5 , y = 2

7 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

How do I write an equation in standard form for a line that passes through (2,2) and (0,-3)

sweet [91]

It is the first one!!

5 0

3 years ago

What is 6(7-2p) =12p+42

mafiozo [28]

answer:

p = 0

step-by-step explanation:

6 (7-2p) = 12p + 42

42 - 12p = 12p + 42

+12p +12p

_______________

42 = 24p + 42

-42 -42

_____________

0 = 24p

_ ___

24 24

0 = p

<em>hope this helps! ❤ from peachimin (aka kayla)</em>

4 0

3 years ago

A line passes through ( - 1, 1) and (3,9).

Ivan

Answer:

y=2x+3

Step-by-step explanation:

The slope-intercept form of the equation of a line is y = mx + b,where m = slope.

Hope this helps...

4 0

3 years ago