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2 years ago

Strategies for Rational Numbers Please help me

Mathematics

1 answer:

OLEGan [10]2 years ago

3 0

Answer:

i think its the same thing

Step-by-step explanation:

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You are building a shelf that fits in a corner. In the figure, the entire shelf is △XYZ. Each unit in the coordinate plane repre

natima [27]

Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.

Answer:

112.5 units²

Step-by-step explanation:

Area of the shelf = ½*base*height.

The base is the distance between Z(0, 5) and Y(15, 5)

The height is the distance between X(15, 20) and Y(15, 5).

Therefore area of the shelf = ½*ZY*XY

Use the distance formula to find ZY and XY.

Distance between Z(0, 5) and Y(15, 5):

$ZY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$Z(0, 5) = (x_1, y_1)$

$Y(15, 5) = (x_2, y_2)$

$ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2}$

$AB = \sqrt{(15)^2 + (0)^2}$

$AB = \sqrt{225 + 0} = \sqrt{225}$

$AB = 15$

Distance between X(15, 20) and Y(15, 5):

$XY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$X(15, 20) = (x_1, y_1)$

$Y(15, 5) = (x_2, y_2)$

$XY = \sqrt{(15 - 15)^2 + (5 - 20)^2}$

$XY = \sqrt{(0)^2 + (-15)^2}$

$XY = \sqrt{0 + 225} = \sqrt{225}$

$XY = 15$

Area of shelf = ½*15*15 = ½*225 = 112.5 units²

4 0

3 years ago

PLEASE HELP = simplify 3/4(-10+2/5)

solniwko [45]

There are many ways to do this depending on the property you have to use:

If you use the distributive property, you need to distribute 3/4 to -10 and 2/5. Distribute means you will multiply it so your resulting equation will be this:

$\frac{-30}{4} - \frac{6}{20}$

Before you can add, you need to first make them like terms because you cannot add unlike fractions. Get the LCD and form your new equation:

$\frac{-150+6}{20}$

Now you can just add them together to get:
$\frac{-144}{20}$

and then simplify your fraction:
$\frac{-36}{5}$ or - $\frac{36}{5}$

The whole fraction becomes negative because when you divide integers and of them is negative, the final answer will be negative.

3 0

3 years ago

Which expression is equivalent to 5(8 + 9)?

Blababa [14]

The answer is 40 + 45

6 0

3 years ago

Read 2 more answers

The graph of the w=equation x+3y=6 intersects the y axis at the point whose coordinate are

nevsk [136]

Y intercept = when x = 0
Plug in x = 0
0 + 3y = 6
3y = 6, y = 2

Solution: a, (0,2)

8 0

3 years ago

Please solve this question.

andre [41]

Answer:

x = - 2

y = 5

Step-by-step explanation:

Hi there !

2x + 9 = y

y = - 4x - 3

equality

2x + 9 = - 4x - 3

2x + 4x = - 9 - 3

6x = - 12

x = - 12 : 6

x = - 2

replace x = - 2

2(-2) + 9 = y

- 4 + 9 = y

y = 5

Good luck !

8 0

3 years ago