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3 years ago

8

A scale drawing of a rectangular plot of land is below, where 2 units is equal to 75 feet. What is the area of the plot of land?

1 answer:

elena-s [515]3 years ago

5 0

The area in units is 60 and in ft is 2,250 since 60/2=30*75=2,250

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Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

vesna_86 [32]

Answer:

$f(x) = 3(x -\frac{2}{3})^2 -\frac{22}{3}$

The vertex is $(\frac{2}{3}, -\frac{22}{3})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = 3x ^ 2 -4x -6$

Take common factor 3.

$f(x) = 3(x ^ 2 -\frac{4}{3}x - 2)$

The values of the coefficients for the function within the parenthesis are the following: $a = 1$ , $b = -\frac{4}{3}$ , $c = -2$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= -\frac{2}{3}$

$(\frac{b}{2})^2=\frac{4}{9}$

Add and subtract $\frac{4}{9}$

$f(x) = 3([x ^ 2 -\frac{4}{3}x +\frac{4}{9}]- 2-\frac{4}{9})$

Write the expression of the form

$f(x) = (x-\frac{b}{2})^2 +k$

$f(x) = 3(x -\frac{2}{3})^2 -\frac{22}{3}$

The vertex is $(\frac{2}{3}, -\frac{22}{3})$

3 0

3 years ago

What is true about the line y = x?

Nimfa-mama [501]

Answer:

B

Step-by-step explanation:

7 0

2 years ago

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STatiana [176]

7^2/7^-2 and (7^2)^2

7 0

2 years ago

A shopper gives a cashier $60 to pay for a $49 how much does the cashier of the shopper

Leni [432]

Answer:

$11.00

Explanation:

$60 given - $49 order = $11 change

8 0

3 years ago

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Help please I realy nead help

Makovka662 [10]

Answer:

B) 77.5 square feet

Step-by-step explanation:

cut shape into rectangle and triangle

area of rectangle = x*y

area of rectangle = 5*13

area of rectangle = 65

area of triangle = (z-x)*(y-w)/2

area of triangle = 5*3/2

area of triangle = 7.5

Total area = 65 + 7.5

Total area = 77.5, B)

3 0

1 year ago

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