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Inga [223]
3 years ago
15

Please HELP!!

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0

Answer:

Step-by-step explanation:

Step 1:

Isolate x (1st Equation)

2x + 3y = 0

<u>      - 3y = -3y</u>

       2x = -3y

Step 2:

Divide both sides by 2

x = -3y/2

Step 3:

Replace the x from 8x with -3y/2 and Solve the equation

8(-3y/2) + 9y = 18

-12y + 9y = 18

-3y = 18

y = -6

Step 4:

Go back to the 1st equation and replace the y from 3y with -6. You are now solving for x. Solve the equation.
2x + 3(-6) = 0

2x - 18 = 0

<u>     + 18 = +18</u>

      2x = 18

x = 9

Step 5:

Write your final answer.

(x, y) = (9, -6)

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Alan drew a scale drawing of a house and its lot. The scale he used was 1 millimeter: 5 meters. In the drawing, the lawn in the
Marat540 [252]

50 meters

Explanation

you can easily solve this by using a rule of three.

Step 1

Let

\begin{gathered} 1\text{ milemeter}\rightarrow5\text{ meters} \\ \text{the proportion is} \\ \frac{1\text{ mm}}{5\text{ mt}} \end{gathered}

x represents the length of the actual lawn

then

\begin{gathered} 10\text{ mm}\rightarrow x\text{ mt} \\ \text{the proportion is} \\ \frac{10\text{ mm}}{\text{xmt}} \end{gathered}

the proportion is the same, so

Step 2

\begin{gathered} \frac{1}{5}=\frac{10}{x} \\ \text{solve for x} \\ 1\cdot x=5\cdot10 \\ x=50 \end{gathered}

so, the length is 50 meters

6 0
2 years ago
Solve the quadratic equation. Show all of your steps. x 2 + 3 x − 5 = 0
AlladinOne [14]

For this case we have the following quadratic equation:

x ^ 2 + 3x-5 = 0

Where:

a = 1\\b = 3\\c = -5

We look for the solution using the following formula:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

Substituting the values:

x = \frac {-3 \pm \sqrt {3 ^ 2-4 (1) (- 5)}} {2 (1)}\\x = \frac {-3 \pm \sqrt {9 + 20}} {2}\\x = \frac {-3 \pm \sqrt {29}} {2}

Thus, we have two roots:

x_ {1} = \frac {-3+ \sqrt {29}} {2}\\x_ {2} = \frac {-3- \sqrt {29}} {2}

Answer:

x_ {1} = \frac {-3+ \sqrt {29}} {2}\\x_ {2} = \frac {-3- \sqrt {29}} {2}

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1,3,7,9,21,27,63,189
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Can someone help this
Zanzabum

Answer:

Step-by-step explanation:

The common factor is the largest number that goes into both of those numbers evenly. We do this by finding the prime factorization of each:

25: 5,5

35: 5,7

The common number to both is 5, so 5 is the common factor of both the numerator and denominator.

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Can someone help me?
Lostsunrise [7]

Answer:

1. 8

2. 2.3

3. 1.84

Step-by-step explanation:


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