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Grace [21]
3 years ago
13

The legs of a right triangle are represented by a and b, and the hypotenuse of the right triangle is represented by c. Which equ

ation is not equivalent to the Pythagorean
Theorem? please answer fast
​

Mathematics
1 answer:
svp [43]3 years ago
6 0

Answer:

the third one

Step-by-step explanation:

the hypotenuse cannot be gotten by subtracting the two shorter sides

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1+secA/sec A = sin^2 A / 1-cos A​
Fofino [41]

Answer:  see proof below

<u>Step-by-step explanation:</u>

\dfrac{1+\sec A}{\sec A}=\dfrac{\sin^2 A}{1-\cos A}

Use the following Identities:

sec Ф = 1/cos Ф

cos² Ф + sin² Ф = 1

<u>Proof LHS → RHS</u>

\text{LHS:}\qquad \qquad \dfrac{1+\sec A}{\sec A}

\text{Identity:}\qquad \qquad \dfrac{1+\frac{1}{\cos A}}{\frac{1}{\cos A}}

\text{Simplify:}\qquad \qquad \dfrac{\frac{\cos A+1}{\cos A}}{\frac{1}{\cos A}}\\\\\\.\qquad \qquad \qquad =\dfrac{1+\cos A}{1}

\text{Multiply:}\qquad \qquad \dfrac{1+\cos A}{1}\cdot \bigg(\dfrac{1-\cos A}{1-\cos A}\bigg)\\\\\\.\qquad \qquad \qquad =\dfrac{1-\cos^2 A}{1-\cos A}

\text{Identity:}\qquad \qquad \dfrac{\sin^2 A}{1-\cos A}

\text{LHS = RHS:}\quad \dfrac{\sin^2 A}{1-\cos A}=\dfrac{\sin^2 A}{1-\cos A}\quad \checkmark

3 0
3 years ago
Write a rule for a function with a parabolic graph that contains the x-intercepts (-20,0) and (40,0) and a maximum point whose y
lakkis [162]

Step-by-step explanation:

Since the x-intercepts are -20 and 40, the line of symmetry is x = (-20 + 40)/2 = 10.

Now we have y = a(x - 10)² + 30, where a is an unknown constant. We can find a by using an x-intercept point.

=> (0) = a[(40) - 10]² + 30

=> 900a + 30 = 0, a = -1/30.

Hence the rule is y = -(x - 10)²/30 + 30.

7 0
3 years ago
Four aces in a row, then three red face cards in a row, then a red card.
Anarel [89]

Answer:

whats the question

Step-by-step explanation:

?

7 0
3 years ago
Identify the vertex for the graph of y = 2x2 + 8x − 3
xxTIMURxx [149]
X = -b/2a
x = -8/4
x = -2
Plug -2 in for x and solve for y
y = 2(-2)^2 + 8(-2) -3
y = 8 -16 -3
y = -11
Vertex (-2, -11)
5 0
4 years ago
Shawna has $750 in the bank. She deposits $37.50 each week. Ruben has $850 in the bank. He deposits his paycheck of $102.75 ever
Dmitry [639]

Answer:

20 weeks

Step-by-step explanation:

4 0
3 years ago
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