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2 years ago

2. What is the vertex of the following parabola? *

Mathematics

1 answer:

sweet [91]2 years ago

7 0

Answer:

Step-by-step explanation:

The answer to life the universe and everything is 42

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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 will give brainliest if I can :)

Paraphin [41]

Answer:

So you take the 172 miles and you divide it by the 3cm that you have and that gives you 57.3 miles. And therefore 1cm would be equal to 57.3

Step-by-step explanation:

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2 years ago

Determine the value of z for the system of equations.

Natali5045456 [20]

Answer:

{x, y, z} = {-4, 2, 4}

<u>i think this is the answer</u>

7 0

3 years ago

Simplify square root of 1008 ( V` Represents the square root sign.)

Alexus [3.1K]

So first factor it
1008=2*2*2*2*3*3*7
group them in similar pairs
1008=(2*2)(2*2)(3*3)*7
now remember we can do
$\sqrt{xy}= \sqrt{x} \sqrt{y}$ so
$\sqrt{1008}= (\sqrt{2*2}) (\sqrt{2*2}) (\sqrt{3*3}) (\sqrt{7})$ =
2*2*3* $\sqrt{7}$ =
12√7

the answer is B

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3 years ago

What is the value of s in the equation 3 r equals 10 plus 5 s, when r equals 10?

mafiozo [28]

Answer:

S=4

Step-by-step explanation:

3 0

3 years ago

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