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MA_775_DIABLO [31]
3 years ago
8

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) " .
_________________________________________
Explanation:
_________________________________________
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.
_____________________________________________
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: 
________________________________________________
            →   (x₁, y₁) ;  and:   (x₂, y₂)  ;
_______________________________________

which is NOT related to the "Pythagorean theorem" equation.
__________________________________________________

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What do we use to solve one-step equations to find out the value of the variable?
dimulka [17.4K]

Answer: To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The inverse operations are: Addition and subtraction.

hope this helps

3 0
2 years ago
I need help ok i just need help on a few or more things will be sending more
Rzqust [24]
Factors and Multiples. But they both involve multiplication: Factors are what we can multiply to get the number. Multiples are what we get after multiplying the number by an integer (not a fraction).
3 0
3 years ago
Read 2 more answers
Find the area of the shaded triangle below.
ki77a [65]

Answer:

A = 12 square units

Step-by-step explanation:

Area of a Triangle = base * height / 2

The triangle might look weird and doesn't look like it has a base, but if you look at the left side you see there is a straight line which means there is a base, so we flip the picture until we see that the flat line on the bottom or the base.

The base is 4 units.

To find the height, we don't need a straight line, we just need to see how the tall the triangle is, to do that you must start from the lowest point and count up to the highest point.

You now get 6 units.

A = bh/2

A = 4*6/2

A = 24/2

A = 12 square units

5 0
3 years ago
PLEASE HELP!!!!!! 20 POINTS!!!!!
Advocard [28]

Answer:

-18.703

Step-by-step explanation:

a₁=-28(-1/2)¹⁻¹

r=-1/2

a₁=-28

r=-1/2

S₉=a₁\frac{1-r^{9} }{1-r}

S₉=-28\frac{1-(\frac{1}{2})^{9}  }{1-(\frac{1}{2}) }

S₉=-\frac{1197}{64}

S₉=-18\frac{45}{64}   S₉=-18.703125

5 0
2 years ago
Help please thank you
Leto [7]
Ah, this my friend, is actually easier than it looks. I promise. Sort of. XD

Alright, so let's start with the basics. You have two shapes that look congruent, and obviously ARE congruent, but how they are congruent can be different.
HIJ (Shape 1) is congruently equal to (~=) shape LKJ (The order does indeed matter) by what?

Well, in terms of congruency, you have about 8 different ways, I only remember 4.
SSS (Side, Side, Side)
SAS (Side, Angle, Side)
ASA (Angle, Side, Side)
AAA (Angle, Angle, Angle)

This means that whichever it is, each must be identified as congruent to the other. If it's SAS, you must know, for certain (not you personally, you can guess, but that's not what they want, they want you to know based on the info they give you) that there are 2 sides that are congruent, and 1 angle that are congruent. Same for all the others, just plug and play. 

In the text, this question mentions that side HJ is congruently equal to JL. This means you have 1 set of sides identified as congruent. 
The text ALSO mentions that angle H is also congruently equal to angle L. This means you now have 1 set of angles that are congruently equal.

So far, you know you have 1 congruent set of sides (S) and One congruent set of angles (A)

Now, you also can see that based on what we already know, HIJ extends to LKJ, meaning the other angle would ALSO be congruent. 
This leaves you with "ASA" (Angle, Side, Angle), meaning 2 sets of angles are congruent, and 1 set of sides.

Your answer is A

~Hope this helps!
6 0
3 years ago
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