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3 years ago

(08.03)A set of equations is given below:

Mathematics

2 answers:

faltersainse [42]3 years ago

7 0

Answer: Third option

$-x + 2 = 3x - 4.$

Step-by-step explanation:

One of the ways of solving a system of equations is by equating the equations and solving for one of the variables.

In this case we have the system:

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

Note that if $y$ is equal $-x + 2$ and also $y$ equals $3x - 4$

Then logically $-x + 2$ must be equal to $3x - 4$ .

We write equality.

$-x + 2 = 3x - 4.$

Then the correct answer is the third option.

We can also solve for the variable x

$-4x = -6\\\\4x = 6\\\\x = \frac{6}{4}\\\\x = \frac{3}{2}$

Veronika [31]3 years ago

4 0

Answer:

-x + 2 = 3x - 4.

Step-by-step explanation:

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3 years ago

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A game decreased in price by 2/3. After the reduction it was priced at £13. What was the original price of the game?

Archy [21]

Answer:

$x = 39$

Step-by-step explanation:

Based on the given conditions, write: $x=\frac{13}{1-\frac{2}{3}}$

Find common denominator and write numerators above common denominator: $x=\frac{\frac{13}{3-2} }{3}$

Calculate the sum or difference: $x=\frac{\frac{13}{1} }{3}$

Divide the fraction by multiplying its reciprocal: $x=13*3$

Calculate the product or quotient: $x=39$

Answer: $x=39$

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2 years ago

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The 10th term of an a.p is -27 and the 5th term is -12 .find the first term?

horsena [70]

Step-by-step explanation:

$a_{10} = - 27... (Given) \\\\\therefore a + 9d = - 27...... (1)\\\\a_{5} = - 12... (Given) \\\\\therefore a + 4d = - 12.......(2)\\\\$

Subtracting equation (2) from equation (1)

$a + 9d-( a + 4d )= - 27-(-12)\\\\\therefore a +9d - a-4d = - 27+12\\\\\therefore 5d = - 15\\\\\therefore d = \frac {- 15}{5}\\\\\huge \orange {\boxed {\therefore d = -3}} \\\\$

Substituting d = - 3 in equation (1), we find:

$a + 9\times (-3)= - 27\\\\\therefore a - 27 = - 27\\\\\therefore a = 27- 27\\\\\huge \red {\boxed {\therefore a = 0}}\\\\$

Hence, first term is zero.

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3 years ago

What is the slope of a line perpendicular to 24x-9y=63

Gelneren [198K]

In order to find the slop it is probably best to put the equation in y=mx+b form. This means to get y by itself on one side.
24x-9y=63 will then become -9y=63-24x in which y has been isolated.
Then you should divided by -9 to get the final form: y=24x/9 -63/9.
Now you can get the slope of the perpendicular line by taking the slope of the original equation and finding its reciprocal which is -9/24x. This is your answer.

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3 years ago

How are the arc length and circumference of a circle related?

nikklg [1K]

Answer:

Hope it helps.

Step-by-step explanation:

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