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LenKa [72]
3 years ago
8

How to solve the equation

Mathematics
1 answer:
wariber [46]3 years ago
5 0
Hey there!

So it's mentioned that the line is parallel, hence their gradient are equals.

From the eqn, y = 2x + 1 , you'll find that the gradient is 2 (conveniently, the equation of the line is directly derived from y=mx+c, where m is the gradient.)

Using the coordinates (2, -1) as the line passes through those points, make a new equation (with y=mx+c) with those points and the gradient 2 in order to find constant c.

-1=(2)(2) + c
c=-5

hence, the equation is y=2x-5.

The whole working is actually very short so I hope I didn't overcomplicate things :(
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NEED HELP WITH THESE QUESTIONS
amm1812

For this case we must solve the following questions:

Question 1:

We should simplify the following expression:

\frac {\frac {m ^ 2 * n ^ 3} {p ^ 3}} {\frac {mp} {n ^ 2}} =

Applying double C we have:

\frac {m ^ 2 * n ^ 3 * n ^ 2} {mp * p ^ 3} =

By definition of multiplication of powers of the same base we have to place the same base and add the exponents:\frac {m ^ 2 * n ^ 5} {m * p ^ 4} =

Canceling common terms:

\frac {mn ^ 5} {p ^ 4}

Answer:

Option A

Question 2:

We should simplify the following expression:

\frac {3xyz ^ 2} {6y ^ 4} * \frac {2y} {xz ^ 4}

So, we have:

\frac {3xyz ^ 2 * 2y} {6y ^ 4 * xz ^ 4} =\\\frac {6xy ^ 2z ^ 2} {6y ^ 4xz ^ 4} =

Simplifying common terms:

\frac {1} {y ^ 2z ^ 2}

Answer:

Option D

Question 3:

We factor the following expressions to rewrite the experience:

<em>r ^ 2 + 7r + 10: </em>We look for two numbers that multiplied give 10 and added 7:

(r + 5) (r + 2)

<em>r ^ 2-5r-50:</em> We look for two numbers that multiplied give -50 and added -5:

(r-10) (r + 5)

<em>3r-30 = 3 (r-10)</em>

Rewriting the given expression we have:

\frac {(r + 5) (r + 2) * 3 (r-10)} {3 (r-10) (r + 5)} =

We simplify common terms in the numerator and denominator we have:

(r + 2)

Answer:

Option D

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3 years ago
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Answer:

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2 years ago
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Answer:

Ok soo.

Step-by-step explanation:

sum of two adjacent angles of parallelogram is 180

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