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Artist 52 [7]
2 years ago
10

Identify the like terms.

Mathematics
1 answer:
lesya [120]2 years ago
3 0
C! Like terms refer to the variables that are the same, rather than the coefficients (the numbers).
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Solve the system by substitution.<br> y = -4x<br> 23 - 5y = 44
spin [16.1K]
<h3><u>Explanation</u></h3>
  • Given the system of equations.

\begin{cases} y =  - 4x \\ 23 - 5y = 44 \end{cases}

  • Substitute y = -4x in the second equation.

23 - 5( - 4x) = 44 \\ 23 + 20x = 44 \\ 20x = 44 - 23 \\ 20x = 21 \\ x =  \frac{21}{20}

  • Substitute the value of x in any given equations. I will substitute the value of x in the first equation.

y =  - 4x \Longrightarrow y =  - 4( \frac{21}{20} ) \\ y =   \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \Longrightarrow y =  -  \frac{21}{5}  \\ y =  -  \frac{21}{5}

  • Answer Check by substituting both values in two equations.

<u>First</u><u> </u><u>Equation</u>

y =  - 4x \Longrightarrow  -  \frac{21}{5}  =  - 4( \frac{21}{20} ) \\  -  \frac{21}{5}  =   \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \\  -  \frac{21}{5}  =  -  \frac{21}{5}  \:  \:   \: \checkmark

<u>Second</u><u> </u><u>Equation</u>

23 - 5y = 44 \\ 23 - 5( -  \frac{21}{5} ) = 44 \\23 -  \cancel{5}( -  \frac{21}{ \cancel{5}} ) = 44 \\ 23 + 21 = 44 \\ 44 = 44 \:  \:  \:  \:  \checkmark

Both equations are true for the value of x and value of y.

<h3><u>Answer</u></h3>

<u>\begin{cases} x =  \frac{21}{20}  \\ y =  -  \frac{21}{5}  \end{cases}</u>

<u>Coordinate</u><u> </u><u>Point</u><u> </u><u>form</u>

<u>( \frac{21}{20} , -  \frac{21}{5} )</u>

5 0
3 years ago
Hi :), im really struggling with this. Just wanted to know if anyone can explain step by step for me please. Id really appreciat
Dvinal [7]

Answer:

314 m²

Step-by-step explanation:

the formula for the surface area of a sphere (As) is

As = 4×pi×r²

the radius r (half of the diameter) is clearly indicated as 5m.

so, As = 4×3.14×5² = 4×3.14×25

I don't even need a calculator for this, as 4×25 = 100

so, As = 100×3.14 = 314

(you know, when multiplying by 10, the decimal point moves right one position. multiply by 100 it moves 2 positions, and so on).

7 0
2 years ago
Plz help me with this
Softa [21]

Answer:   b)  8√2

<u>Step-by-step explanation:</u>

64^{\frac{7}{12}}=(2^6)^\frac{7}{12}=2^\frac{6\cdot 7}{12}=2^{\frac{7}{2}}=\sqrt{\underline{2\cdot 2}\cdot \underline{2\cdot 2}\cdot \underline{2\cdot 2}\cdot 2}=2\cdot 2\cdot 2\sqrt2=\large\boxed{8\sqrt2}

7 0
2 years ago
A square in the board below and a letter in the word ATTENTION is chosen at
kolezko [41]

Answer:

4 /15

Step-by-step explanation:

From the number cube :

Count of Numbers greater than 4 = 16

Sample space of number cube = 20

P(number greater than 4) = 16 / 20 = 4/5

Word : ATTENTION

Count of letters in attention = 9

Count of T's in attention = 3

P(choosing T) = 3 / 9 = 1/3

P(greater than 4, then T) = 4/5 * 1/3 = 4 /15

5 0
2 years ago
The sum of the first natural number and 0 is 1, the sum of the first two natural numbers and 0 is 3, the sum of the first three
Kitty [74]
The sum of the first n natural numbers and 0=
n*(n+1)/2
8 0
2 years ago
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