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Andrej [43]
3 years ago
10

Claire completed the steps to solve the system of equations.

Mathematics
2 answers:
MatroZZZ [7]3 years ago
8 0

Answer: D

Step-by-step explanation:

8_murik_8 [283]3 years ago
5 0

Option D:

No, Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.

Solution:

The system of equations are

4x – 2y = 4 – – – – (1)

3x + 3y = 21 – – – – (2)

Step 1: Multiply the equation (1) by 3 and equation (2) by 2

12x – 6y = 12

6x + 6y = 42

Step 2: Add the above equations.

\begin{aligned}&12 x-6 y=12\\&6 x \ +\ 6 y\ =42\\&-------\\&18x\ \ =\ 54\end{aligned}

⇒ 18x = 54

Step 3: Divide both sides of the equation by 18.

⇒ x = 3

Step 4: Substitute x = 3 in equation (1)

4(3) – 2y = 4

⇒ 12 – 2y = 4

Subtract 12 from both sides of the equation.

⇒ –2y = –8

Divide by –2 on both sides of the equation.

⇒ y = 4

Step 5: The solution is (3, 4).

But Claire's solution is (3, –4).

Claire's solution is not correct in step 4.

Option D is the correct answer.

No, Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.

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Answer:

the answer is 38.81833333333333

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3 years ago
Write the equation of a vertical line that passes through the point (–4, 4).
FinnZ [79.3K]
The question asks for a vertical line, and if it is vertical, it cannot be y = ... because that is horizontal. We also know it passes through the x-coordinate of -4, so the answer is x = -4. 
4 0
3 years ago
Kyle’s bank statement shows a balance of –$18.50. Which describes the magnitude, or size, of the debt in dollars?
oksano4ka [1.4K]

Answer:

C. $18.50.

Step-by-step explanation:

We have been given that Kyle’s bank statement shows a balance of –$18.50. We are asked to determine the magnitude, or size, of the debt in dollars.

We know that the magnitude of a negative number is absolute value of negative number.

\text{Magnitude of debt in dollars}=|-\$18.50|

Since absolute value of a negative number is opposite of the number.

\text{Magnitude of debt in dollars}=-(-\$18.50)=\$18.50

Therefore, option C is the correct choice.

5 0
3 years ago
Read 2 more answers
What are the solutions to the equation?
Maru [420]

rearrange the equation to where you set it equal to 0 by moving the 25 over.

n2 - 8n -9 = 0

now factor

(n-9)(n+1)

so n1 = 9

n2 = -1

6 0
3 years ago
A group of neighbors are constructing a community garden that is 80 m wide and 40 m long the top to vertex are plotted below at
Ainat [17]

Question Correction

A group of neighbors are constructing a community garden that is 80 meters wide and 40 meters long. The top two vertices are plotted below at (10, 70) and (90, 70). What are the coordinates for the bottom two vertices of the garden?

Answer:

(10,30) and (90,30)

Step-by-step explanation:

The community garden is 80 m wide and 40 m long.

The top two vertex are plotted at: (10, 70) and (90, 70).

Horizontal Distance =90-10=80

This serves as the Width of the garden.

Since the length is 40m, the bottom two vertex can be derived by the transformation: (x,y-40).

(x,y-40)-->(10, 70)=(10,30); and

(x,y-40)-->(90, 70)=(90,30)

The coordinates for the two bottom vertices are (10,30) and (90,30).

5 0
3 years ago
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