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OlgaM077 [116]
3 years ago
5

Geometry math question

Mathematics
2 answers:
Irina18 [472]3 years ago
8 0

Since they are congruent, corresponding sides and angles are also congruent

AB=DE

fredd [130]3 years ago
3 0

Since they are congruent, corresponding sides and angles are also congruent

AB=DE

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2m/(2m 3)-(2m)/(2m-3)=1how many extraneous solutions does the equation have?
Slav-nsk [51]
\frac{2m}{2m+3} - \frac{2m}{2m-3} =1 \\  \frac{2m(2m-3)-2m(2m+3)}{4m^2-9} =1 \\  \frac{4m^2-6m-4m^2-6m}{4m^2-9} =1 \\  \frac{-12m}{4m^2-9} =1 \\ -12m=4m^2-9 \\ 4m^2+12m-9=0 \\ m=0.6213 \ or \ m=-3.6213
For m = 0.6213, \frac{2(0.6213)}{2(0.6213)+3} - \frac{2(0.6213)}{2(0.6213)-3} \\  \frac{1.2426}{4.2426} - \frac{1.2426}{-1.7574} =0.2929+0.7071=1
For m = -3.6213, \frac{2(-3.6213)}{2(-3.6213)+3} - \frac{2(-3.6213)}{2(-3.6213)-3} \\ \frac{-7.2426}{-4.2426} - \frac{-7.2426}{-10.2426} =1.7071-0.7071=1
Therefore, the equation has no extraneous solution.
4 0
3 years ago
Which set of numbers could represent the lengths of the sides of a right triangle?
vitfil [10]

in this problem what you are really looking for is which of these sets is a pathagorean triple. That means it will solve the pathagorean theorem. (a sqaured + b squared = c squared) c is always going to be the largest number or the hypotenuse. if you plug all the number sets into the theorem, only one works and that is 7, 24, 25 which is your answer.

4 0
3 years ago
Given the parent function of f(x) = x4, what change will occur when the function is changed to f(−2x)?
Nikitich [7]

Answer:

Graph will open same way and is narrower.

Step-by-step explanation

If: f(x)= x^4

f(-2x)= (-2x)^4

Negative sign usually flips the graph and make it open to the opposite direction.  In this case since the function is to the 4th degree and the negative sign is included. The negative is basically ignored.

The term in front of x (a) determines how wide the graph opens. The bigger the a value the faster the slope increases so the narrower the graph opens.

Think if the slope is 4 vs 1/4.


Hope this helps


6 0
3 years ago
Which prism is similar to a right rectangular prism with a length of 5.2 units, a width of 2 units, and a height of 3 units?
Afina-wow [57]

Answer:

2nd rectangle on edg

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
If f(x) = x^2 - 2x and g(x) = 6x + 4, for what value of x does (f + g)(x) = 0?
larisa86 [58]

Answer:

x = -2

Step-by-step explanation:

f(x) =x^2 -2x\:\: and \:\: g(x) = 6x + 4\\(f+g)(x) = f(x) + g(x) \\(f+g)(x) = x^2 -2x+ 6x + 4\\(f+g)(x) = x^2+4x + 4\\(f+g)(x) = (x+2)^2\\ 0 = (x+2)^2...[\because (f+g)(x) =0]\\0 = x+2\\\therefore x = -2

6 0
3 years ago
Read 2 more answers
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