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elena-14-01-66 [18.8K]
3 years ago
13

Amelie found the solutions of the equation x2 − 1x = 42 to be 6 and −7. Explain why this answer is incorrect. Then, find the cor

rect solutions. Complete the explanation.
Mathematics
1 answer:
cupoosta [38]3 years ago
7 0
I dont know how to solve it but since the answer shows as 6 and -7, if you plug it in as x values, one tiem as 6 and second time as -7 it doesnt equal 42
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Find the value of x. *<br> I think I’m a little off
DiKsa [7]

Answer:

x = 44

Step-by-step explanation:

3x - 5 is complementary to y° so their sum is 180°

The angle with measure 127° is also complementary with y°

127 + y = 180

y = 53°

53 + 3x - 5 = 180

3x + 48 = 180

3x = 132

x = 44

6 0
3 years ago
Someone help me out with this my grade are bad
eduard

Answer:

2 units tall by 1 unit wide

Step-by-step explanation:

On the given rectangle it tell you the conversion to m is 1 unit = 2 m.

The new figure that needs to be drawn has a conversion of 1 unit = 8m.

So, the fist thing we need to do is calculate the m on the width at the height of the original, which is 16 by 8.

looking at this we can now convert this measurement into our new conversion of 1 unit = 8 m. We can do this by dividing the height and width separately.

Ex:

Since 16 is divided by 8 two times so that gives us the answer of 2 units.

8 is divisible by 8 one time so that gives us the width of 1 unit

if this is confusing just think of it like: x=\frac{16}{8} for the height or x = \frac{8}{8} for the width.

8 0
3 years ago
A bouncy ball is thrown into the air. The height of the bouncy ball above ground can be represented by the function h(t)= −16t^2
aniked [119]
I don’t understand the question
3 0
3 years ago
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A teacher wrote the equation 3y + 12 = 6x on the board. For what value of b would the additional equation 2y = 4x + b form a sys
juin [17]

Answer:

-8

Step-by-step explanation:

For a system to have infinitely many solutions the two equations must be the same line. We can simplify the first and second equations by dividing them by 3 and 2 respectively to get:

y + 4 = 2x

y = 2x + b/2 → y -b/2 = 2x

Since the constants must be equal, 4 = -b/2 which means b = -8.

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3 years ago
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Which system of equations has only one solution? 4 x + 2 y = 8. Negative 4 x minus 2 y = 3. Negative 5 x + y = 6. 5 x minus y =
madam [21]

Answer:

Following system of equations have exactly one solution:

2 x + 4 y = 6\\ 3 x - 4 y = 9

Step-by-step explanation:

Given 4 system of equations:

1st  

4 x + 2 y = 8\\ -4 x -2 y = 3

2nd

-5 x + y = 6\\ 5 x - y = - 6

3rd

- 3 x + 4 y = 2\\ 3 x - 4 y = 0

4th

2 x + 4 y = 6\\ 3 x - 4 y = 9

To find: Which system of equations has only one solution?

Solution:

First of all, let us learn the concept.

Let the equation of lines be:

a_1x+b_1y+ c_1=0 and  a_2x+b_2y+ c_2=0

1. No solution:

There exists no solution if:

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}

2. Infinite solutions:

There exist infinitely many solutions if:

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

3. One solution:

There exists one solution if:

\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}

Now, let us consider the given equations one by one.

1st system of equations:

The ratio is:

\dfrac{4}{-4} , \dfrac{2}{-2} , \dfrac{8}{3}\\-1 =-1\neq \dfrac{8}{3}

So, no solution.

2nd system of equations:

The ratio:

\dfrac{-5}{5} , \dfrac{-1}{1} , \dfrac{6}{-6}\\-1 =-1=-1

So, infinitely many solutions.

3rd system of equations:

\dfrac{3}{-3} , \dfrac{-4}{4} , \dfrac{0}{2}\\-1 =-1\ne0

So, no solution.

4th system of equations:

\dfrac{2}{3} , \dfrac{4}{-4} , \dfrac{6}{9}\\\dfrac{2}{3} \ne-1

Hence, <em>only one solution.</em>

<em></em>

<em>So, the answer is:</em>

Following system of equations have only one solution:

2 x + 4 y = 6\\ 3 x - 4 y = 9

8 0
4 years ago
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