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2 years ago

What is the value of y

Mathematics

1 answer:

trapecia [35]2 years ago

4 0

Answer:

$Here,\\Since~BC$ ║ $DE,\\$

[Corresponding Sides of similar triangles are proportional.]

$or, \frac{y}{2y} = \frac{3}{3y} \\or, \frac{1}{2} = \frac{1}{y}\\or, y=2$

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Read 2 more answers

Write an equation in slope-intercept form for the following line: (-14,1) and (13,-2)

alex41 [277]

Answer:

$\large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }$

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

$\large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }$

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

$\large \boxed{y = mx + b}$

We already know m-value as we substitute it.

$\large{y = - \frac{1}{9} x + b}$

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}$

Finally, we know b-value. Then we substitute it in our equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }$

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2 years ago

The permitir of the garden is (6x+2) units. Find the length of the missing side .

Snezhnost [94]

Answer: ? = x + 1

Step-by-step explanation:

The perimeter of the garden is x + 3x + 1 + x + ?

The perimeter of the garden is also (6x + 2)

Therfore:

x + 3x + 1 + x + ? = 6x + 2

Collect like terms:

5x + 1 + ? = 6x + 2

Subtract 5x from both sides:

1 + ? = x + 2

Subtract 1 from both sides:

? = x + 1

You cannot find ? as a number, only in terms of x.

5 0

3 years ago