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2 years ago

Solve the system of equations 4x-5y=21 3x+10y=-53

Mathematics

1 answer:

klemol [59]2 years ago

6 0

Answer: x =21/4 =5y/4

y =21/5+4x/3

slope : y= 4/5 x-21/5

Step-by-step explanation:

there u go

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Multiples of 3 and 4

MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

4 0

3 years ago

A carpenter needs 36 screws that are 1.5 inches long, 24 screws that are 2 inches long, and 12 screws that are 2.5 inches long.

Neporo4naja [7]

48/132
You’re welcome

4 0

3 years ago

what is the distance between point S and U? Round to the nearest tenth of a unit? A 3.3 B 6.4 C 8.1 D 12.0

ki77a [65]

The distance between the points (d) is found using the Pythagorean theorem.

Imagine the two points as defining the hypotenuse of a right triangle. The lengths of the legs of the triangle are the horizontal distance between the points and the vertical distance between the points. The the theorem tells us
d² = 4² + 7²
d² = 16 + 49
d² = 65
d = √65 ≈ 8.1

The distance between the points is
C 8.1

_____
You know that the distance must be longer than the longest leg (7) and must be shorter than the sum of the two legs (4+7=11). The only answer choice between 7 and 11 is 8.1.

8 0

3 years ago

Which of the following is equivalent to log50^7 rounded to three decimal places

Vitek1552 [10]

Answer:

11.886

Step-by-step explanation:

Given :

$log 50^7$

Applying formula

$log a^m=m log a$

So,

$7 log 50\\=7(1.698)\\=11.886$

Answer will be 11.886

3 0

3 years ago

What does a irrational number look like

julia-pushkina [17]

A irrational number is a number that can't be expressed as a ratio of two whole numbers. That's it.

For examples (in increasing order of difficulty)

1 is a rational number because it is 1/1

0.75 is a rational number because it is equal to 3/4

2.333... (infinite number of digits, all equal to three) is rational because it is equal to 7/3.

sqrt(2) is not a rational number. This is not completely trivial to show but there are some relatively simple proofs of this fact. It's been known since the greek.

pi is irrational. This is much more complicated and is a result from 19th century.

As you see, there is absolutely no mention of the digits in the definition or in the proofs I presented.

Now the result that you probably hear about and wanted to remember (slightly incorrectly) is that a number is rational if and only if its decimal expansion is eventually periodic. What does it mean ?

Take, 5/700 and write it in decimal expansion. It is 0.0057142857142857.. As you can see the pattern "571428" is repeating in the the digits. That's what it means to have an eventually periodic decimal expansion. The length of the pattern can be anything, but as long as there is a repeating pattern, the number is rational and vice versa.

As a consequence, sqrt(2) does not have a periodic decimal expansion. So it has an infinite number of digits but moreover, the digits do not form any easy repeating pattern.

5 0

2 years ago