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4 years ago

PLEASE HELP WITH NUMBER 11 ASAP!!!! (Please show how you got the answer)

Mathematics

1 answer:

Alex777 [14]4 years ago

7 0

Answer:

Triangle B is right

Step-by-step explanation:

Using the converse theorem of Pythagoras.

If the square of the longest side in a triangle equals the sum of the squares of the other 2 sides then the triangle is right.

Triangle A

longest side squared = 36² = 1296

26² + 18² = 676 + 324 = 1000 ≠ 1296

Hence triangle A is not right

Triangle B

longest side squared = 25² = 625

20² + 15² = 400 + 225 = 625 ← correct

Hence triangle B is right

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3 years ago

What is the vertex form of y=2x^2-8x+1

bezimeni [28]

Answer:

$2(x-2)^2-7$

Step-by-step explanation:

$y=2x^2-8x+1$

When comparing to standard form of a parabola: $ax^2+bx+c$

$a=2$
$b=-8$
$c=1$

Vertex form of a parabola is: $a(x-h)^2+k$ , which is what we are trying to convert this quadratic equation into.

To do so, we can start by finding "h" in the original vertex form of a parabola. This can be found by using: $\frac{-b}{2a}$ .

Substitute in -8 for b and 2 for a.

$\frac{-(-8)}{2(2)}$

Simplify this fraction.

$\frac{8}{4} \rightarrow2$

$\boxed{h=2}$

The "h" value is 2. Now we can find the "k" value by substituting in 2 for x into the given quadratic equation.

$y=2(2)^2-8(2)+1$

Simplify.

$y=-7$

$\boxed{k=-7}$

We have the values of h and k for the original vertex form, so now we can plug these into the original vertex form. We already know a from the beginning (it is 2).

$a(x-h)^2+k\\ \\ 2(x-2)^2-7$

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3 years ago

How many are 3 raised to 2 ???

Anettt [7]

Answer:

$\huge \boxed{9}$

Step-by-step explanation:

3 raised to 2 is 3 to the power of 2.

$3^2 =3 \times 3 = 9$

3 is multiplied by itself.

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4 years ago

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Answer:

1 minute
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3 years ago

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Shkiper50 [21]

Answer:

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Step-by-step explanation:

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4 years ago

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