Horatio is drawing a rectangle on a coordinate plane. He has already drawn three of the vertices

1 answer:

6 0

Distance formula in three dimensions for the distance between the points
is: Therefore the length of the diagonal is the distance between the points P(1,1,2) and Q(3,4,5) :

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An ordered pair of real numbers can be represented in a plane called the rectangular coordinate system or the ___________ plane

Ghella [55]

Coordinate plane is the answer

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3 years ago

What is the length of the diagonal of a square with side lengths 7 square root of 2 ? round to the nearest tenth if necessary?

mr_godi [17]

There is 2 ways to solve this type of question.

Method 1
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Formula
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a² + b² = c²

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Apply the formula
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(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14

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Ans: The diagonal length is 14cm
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Method 2
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Identify the triangle
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This is a special triangle
45° - 45° - 90°

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Property of the Angles
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x - x - x√2

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Find hypotenuse
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Given that the non-hypotenuse is 7√2

Hypotenuse = (7√2)(√2)
Hypotenuse = 7 x 2
Hypotenuse = = 14cm

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Ans: The diagonal length is 14cm
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6 0

2 years ago

0.2(x+50)-6=0.4(3x+20) ( show work please)

garri49 [273]

Let's solve your equation step-by-step.0.2(x+50)−6=0.4(3x+20)Step 1: Simplify both sides of the equation.0.2(x+50)−6=0.4(3x+20)(0.2)(x)+(0.2)(50)+−6=(0.4)(3x)+(0.4)(20)(Distribute)0.2x+10+−6=1.2x+8(0.2x)+(10+−6)=1.2x+8(Combine Like Terms)0.2x+4=1.2x+80.2x+4=1.2x+8Step 2: Subtract 1.2x from both sides.0.2x+4−1.2x=1.2x+8−1.2x−1x+4=8Step 3: Subtract 4 from both sides.−1x+4−4=8−4−1x=4Step 4: Divide both sides by -1.−1x−1=4−1x=−4Answer:x=−4

7 0

3 years ago

Read 2 more answers

Need help now please

baherus [9]

Answer:

Step-by-step explanation:

rise over run = y/x

3/1.5= 2

8 0

3 years ago

Simplify 7 - (-4) + 3(-6).

Ket [755]

The answer would be -7.

7 - (-4) - 18 (Simplify 3 * (-6) to -18)

7 + 4 - 18 ( Simplify brackets )

-7 (Simplify).

8 0

3 years ago