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3 years ago

6. Write an equation of a line that is Parallel to the line: y = 3x -3

Mathematics

1 answer:

jeka943 years ago

3 0

Answer:

3x - y -6 = 0

Step-by-step explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

$\rm\implies y = 3x - 3$

Slope Intercept Form :-

$\rm\implies y = mx + c$

where ,

m is slope
c is y intercept .

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

Using point slope form :-

$\rm\implies y - y_1 = m ( x - x_1) \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}$

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a cylindrical can has a circumference of 40cm and a capacity of 4.8 litres. Find the capacity of a similar cylinder of circumfer

notsponge [240]

Answer:

V2/V1 = c2/c1

V/4.8 = 50/40

V = 4.8 *5/4

V = 1.2*5 = 6 L

Step-by-step explanation:

3 0

3 years ago

Determine the next step for solving the quadratic equation by completing the square.

Studentka2010 [4]

Answer:

The solutions are $x=\frac{1+\sqrt{7}}{2}$ and $x=\frac{1-\sqrt{7}}{2}$

Step-by-step explanation:

we have

$0=-2x^{2}+2x+3$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$-3=-2x^{2}+2x$

Factor the leading coefficient

$-3=-2(x^{2}-x)$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$-3-0.5=-2(x^{2}-x+0.5^{2})$

$-3.5=-2(x^{2}-x+0.5^{2})$

Rewrite as perfect squares

$-3.5=-2(x-0.5)^{2}$

$7/4=(x-0.5)^{2}$

square root both sides

$x-0.5=(+/-)\sqrt{\frac{7}{4}}$

$x-\frac{1}{2}=(+/-)\frac{\sqrt{7}}{2}$

$x=\frac{1}{2}(+/-)\frac{\sqrt{7}}{2}$

$x=\frac{1+\sqrt{7}}{2}$

$x=\frac{1-\sqrt{7}}{2}$

4 0

3 years ago

The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for coll

slamgirl [31]

Answer:

The score is $x = 1884$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 1500$

The standard deviation is $\sigma = 300$

From the question we are told that the score follow a normal distribution

i.e $X \~ \ N( 1500 , 300)$

The proportion of score in the top 10% is mathematically

$P(X > x ) = P( \frac{X - \mu}{\sigma } > \frac{x - \mu}{\sigma } ) = 0.10$

Where x is the minimum score required to be in the top 10%

Now the $\frac{X - \mu}{\sigma } = Z (The \ Standardized \ value \ of \ X)$

$P(X > x ) = P( Z > \frac{x - \mu}{\sigma } ) = 0.10$

$P(X > x ) = P( Z > \frac{x - 1500}{300} ) = 0.10$

So the critical value of 0.10 from the normal distribution table is $Z_{0.10} = 1.28$

$\frac{x - 1500}{300} = 1.28$

$x = 1884$

6 0

3 years ago

3 1/8 - 1 7/8 =__ _/8 (Write your answer as a mixed number.)

Vikentia [17]

2 1/8

to solve you need to convert 3 1/8 and 1 7/8 improper fractions. wicth is 25/8 and 8/8. then subtract the numerators and keep the denominators the same. it would equal 17/8. and finally you need to convert it back to a mixed number by dividing the numerator by the denominator and putting the remaining as the numerator witch equals 2 1/8

4 0

3 years ago

Help me out please!!!!

lapo4ka [179]

Answer:

8/17

Step-by-step explanation:

opposite = hypotenuse

opposite = 8

hypotenuse =17

7 0

3 years ago

Read 2 more answers