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3 years ago

Which of the following equations represents the Pythagorean theorem? c = a + b ab = ba

Mathematics

2 answers:

luda_lava [24]3 years ago

8 0

The theorem is a²+b²=c²
Rewritten it is √(a²+b²) = c

algol [13]3 years ago

5 0

The correct answer is:  " c = √(a² + b²) " .
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Explanation:
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The Pythagorean theorem is: a² + b² = c² .

↔   c² = a² + b² ;

Take the square root of EACH SIDE OF THE EQUATION;

→ √(c²) = √(a² + b²) ;

→ c =  √(a² + b²) ; which is one of the two answer choices given; which is correct.
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Note: The other answer choice given:

m = (y₂ − y₁) / (x₂ − x₁) ; refers to the calculation of the slope of a line; given an equation for a line, in "slope-intercept form"; that is, "y = mx +b" ; in which "m" is the slope, given the coordinate of two points on the line:
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            →   (x₁, y₁) ; and:   (x₂, y₂) ;
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which is NOT related to the "Pythagorean theorem" equation.
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Which of these intervals has an average rate of change that is less than 1/4

RideAnS [48]

Answer:

Interval [b,c] and interval [c,d]

Step-by-step explanation:

a(-5,0)

b(-1,2)

c(4,3)

d(11,4)

The average rate of change is the the total rise over the total run.

The Rise means the vertical increase and the Run means horizontal incease.

For interval [a,b]

rate of change is $\dfrac{2-0}{-1-(-5)}=\dfrac{2}{4}=\dfrac{1}{2}$

For [b,c]

$\frac{3-2}{4-(-1)}=\frac{1}{5}$

For [c,d]

$\dfrac{4-3}{11-4}=\dfrac{1}{7}$

8 0

2 years ago

50 balls are number 1 to 50 and a red dot is painted on those balls that are a multiple of 7. The balls are mixed into a bag and

miv72 [106K]

Hello,

The multiples of 7 are 7,14,21,28,35,42,49 : 7 balls
The multiples of 5 are 5,10,15,20,25,30,35,40,45,50 :10 balls
In total there are 50 balls
But there is a commun ball 35

p=(7+10-1)/50=16/50=8/25=0.32

4 0

3 years ago

Which equation show the distributive property applied to (7+a)8

Verizon [17]

Answer:

so the answer is B

Step-by-step explanation:

$(7 + a)8 \\ = 56 + 8a \\$

3 0

3 years ago

What is the equation of the line that passes through the points (4/5,1/5) and (1/2,3/2)?

Setler [38]

Answer:

$y-\frac{3}{2}=\frac{-13}{3}(x-\frac{1}{2})$ point-slope form

$13x+3y=11$ (standard form)

Let me know if you prefer another form.

Step-by-step explanation:

The slope of a line can be found using $\frac{y_2-y_1}{x_2-x_1}$ provided you are given two points on the line.

We are.

Now you can use that formula. But I really love to just line up the points vertically then subtract them vertically then put 2nd difference over 1st difference.

(4/5 , 1/5)

-( 1/2 , 3/2)

-----------------

3/10 -13/10

2nd/1st = $\frac{\frac{-13}{10}}{\frac{3}{10}}=\frac{-13}{3}$ is our slope.