Answer:
4v^2-25
Step-by-step explanation:
(2v+5)(2v-5)
Using (a-b)(a+b)=a^2-b^2, simplify the product
(2v)^2-5^2
To raise a <u>product to a power</u>, raise each factor to that power.
4v^2-5^2
Evaluate the <u>power.</u>
4v^2-25
Answer:
yes
Step-by-step explanation:
14² +48² = 196 +2304 = 2500 = 50²
The three lengths (14, 48, 50) are a Pythagorean triple.
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<em>Additional comment</em>
The two smaller numbers correspond to side lengths. The larger one corresponds to the hypotenuse length.
We typically write the numbers of a Pythagorean triple in increasing order, but the order doesn't really matter. As sides of a triangle, the triangle formed is a right triangle, regardless of the order.
Answer:
B - 150 yd
Step-by-step explanation:
Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; <em>a² + b² = c².</em>
In this case, let's label the the missing side A, the height B, and the hypotenuse C.
<em>X² + 15² = 25²</em>
Then you must figure out what 15² and 25².
<em>15² = 225</em>
<em>25² = 625</em>
The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².
<em>625 - 225 = 400. </em>
Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.
<em>√400 = 20.</em>
<u>The missing length of the triangle is 20 yards. </u>
Now it's just a matter of finding the area by using the formula;
<em>A = </em>
Or,
<em>(20 × 15) ÷ 2 = 150.</em>
<u>And there's your answer. Don't forget to add the units.</u>
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<h2>
Hope this helped.</h2>
Answer:
C) 5
Step-by-step explanation:
AG and GB must be congruent and CG and GD must be congruent as well