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faust18 [17]
3 years ago
8

Pythagorean theorem: Show work please free points!!!!

Mathematics
2 answers:
IgorC [24]3 years ago
6 0
So if you have a right triangle with legs legnth a and b and a hypotonuse legnth c, then a^2+b^2=c^2 given in the comments is that a=15 c=20 input and solve 15^2+b^2=20^2 225+b^2=400 subtract 225 from boths ides b^2=175 take square root of both sides b=5√7
tamaranim1 [39]3 years ago
5 0
The therorem is: 

a^{2} + b^{2} = c^{2}
or, solving for b:
b = \sqrt{c^{2}-a^{2}}

b = \sqrt{20^{2}-15^{2}}
b = \sqrt{400-225}
b = \sqrt{175}
b \approx 13.23
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Write an equation of the line that passes through the points (1,-4) and (2,-1).
Anastaziya [24]

Answer:

  y = 3x -7

Step-by-step explanation:

The 2-point form of the equation of a line is useful for this.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-1 -(-4))/(2 -1)(x -1) -4

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3 years ago
Which equations can be used to find the lengths of the
Murrr4er [49]

Answer:

0.5(x)(x + 2) = 24 (A)

x² + 2x – 48 = 0 (D)

x² + (x + 2)² = 100 (E)

Question:

A question related to this found at brainly (ID:4482275) is stated below.

The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the triangle? Check all that apply.

0.5(x)(x + 2) = 24

x(x + 2) = 24

x2 + 2x – 24 = 0

x2 + 2x – 48 = 0

x2 + (x + 2)2 = 24

Step-by-step explanation:

Find attached the diagram.

Area of triangle = ½ × base × height

= 0.5×b×h

base= x ft

Height = (x+2) ft

Area = 24ft²

24 = 0.5(x)(x+2)

0.5(x)(x + 2) = 24 (A)

The equations that can be used to find the lengths of the legs of the triangle must be equivalent to 0.5(x)(x + 2) = 24

On expanding this: 0.5(x)(x + 2) = 24

0.5(x²+2x) = 24

b) x(x + 2) = 24

x(x + 2) is not equal to 0.5(x²+2x)

c) x² + 2x – 24 = 0

0.5(x²+2x) = 24

0.5x²+x - 24 = 0 is not equal to x²+2x- 24 = 0

d) x² + 2x – 48 = 0

0.5(x)(x + 2) = 24

½(x)(x + 2) = 24

x² + 2x = 2(24)

x² + 2x – 48 = 0

Correct option (D)

x² + (x + 2)² = 100

x² + x² + 4x + 4 = 100

2x² + 4x = 96

2(x² + 2x +48)= 0

x² + 2x +48 = 0 is equal to 0.5(x²+2x) = 24

Correct (E)

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