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2 years ago

For what values of x and y must the figure have in order to be a parallelogram

Mathematics

1 answer:

erma4kov [3.2K]2 years ago

5 0

Given:

Given that the parallelogram with the lengths 5x, 3x + 1, 2y - 5 and y.

We need to determine the values of x and y.

Values of x and y:

We know the property that the opposite sides of a parallelogram are congruent.

Thus, we have;

$5x=2y-5$ ------- (1)

$3x+1=y$ ------- (2)

The value of x and y can be determined using the substitution method.

Substituting equation (2) in equation (1), we have;

$5x=2(3x+1)-5$

$5x=6x+2-5$

$5x=6x-3$

$-x=-3$

$x=3$

Thus, the value of x is 3.

Substituting x = 3 in equation (2), we have;

$3(3)+1=y$

$9+1=y$

$10=y$

Thus, the value of y is 10.

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Write and evaluate two equivalent numerical expressions that show Distributive Property of Multiplication

Ainat [17]

Answer:

2(x+5) = 2x+10

Step-by-step explanation:

I'm assuming you can use any possible combination of two equivalent numerical expressions for your question.

2(x+5) = 2x+10

2 times x is 2x. 2 times 5 is 10. So, you get 2x+10

6 0

2 years ago

Write the equation of the line that passes through the points (2, 3) and (3, -7). Put

FrozenT [24]

Answer:

$y - 3 = -10 (x-2)$

Step-by-step explanation:

The point-slope formula is $y-y_1 = m (x-x_1)$ . When knowing the slope of a line and a point it intersects, we can write its equation with that formula. Substitute $m$ , $x_1$ , and $y_1$ for real values.

1) First, find $m$ , or the slope. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and substitute the x and y values of the given points. Then, solve:

$m = \frac{(-7)-(3)}{(3)-(2)} \\m = \frac{-7-3}{3-2} \\m = \frac{-10}{1} \\m = -10$

Therefore, the slope of the line is -10.

2) Now, substitute the needed real values into the point-slope formula, $y-y_1 = m (x-x_1)$ . Since $m$ represents the slope, substitute -10 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line crosses, choose any of the points given and substitute its values into the formula. (Either one is fine, they both equal the same thing. I chose (2,3).) This will give the following answer and equation:

$y - 3 = -10 (x-2)$

7 0

2 years ago

Am I right?

Yuliya22 [10]

I think this MIGHT be right I’m not sure but yeah

5 0

2 years ago

Read 2 more answers

Solve for y in terms of x.

krek1111 [17]

Answer:

$y=\frac{3}{2} x+6$

Step-by-step explanation:

We are given the following equation and we are supposed to solve y in terms of x. It simpler terms, it means that we have to make y the subject of the equation while x being used in it as it is:

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