Based on the side lengths given (a, b, and c), which triangles are right triangles????

Mathematics

2 answers:

Elis [28]4 years ago

8 0

B and C are the correct triangles.

Nadya [2.5K]4 years ago

4 0

B and C are the right triangles!

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B8%7D%20%20%5Ctimes%204" id="TexFormula1" title=" \frac{5}{8} \times 4" al

Vsevolod [243]

Answer:

The result is

$\frac{5}{2}$

2.5

Step-by-step explanation:

We want to simplify

$\frac{5}{8} \times 4$

We know that 4 goes into 8 twice.

This implies that:

$\frac{5}{8} \times 4 = \frac{5}{2}$

We can convert the result into decimals as follows:

$\frac{5}{2} = \frac{25}{10} = 2.5$

6 0

3 years ago

Which of the quadratic functions has the narrowest graph?

charle [14.2K]

Answer:

$y=\frac{1}{8}x^2$

Step-by-step explanation:

A quadratic function has the formula ax² + bx + c

To determine if a graph will be narrow or wide, the leading coefficient, a, will be the factor that determines this
The greater the coefficient, the narrower the parabola
The lesser the coefficient, the wider the parabola

Here all of the functions are in the form ax²

In $y=\frac{1}{8}x^{2}$ , our "a" term is $\frac{1}{8}$
In y = -2x², our "a" term is -2
In y = -3x², our "a" term is -3
In $y=\frac{1}{3}x^{2}$ , our "a" term is $\frac{1}{3}$

We can eliminate the two functions with the negative coefficients because they are much smaller than the two functions with the fractions as coefficients, and will therefore open much wider.

We can now compare the two remaining functions, $y=\frac{1}{8}x^2$ and $y=\frac{1}{3}x^2$

Giving the two fractions common denominators would turn them into $y = \frac{3}{24}x^2$ and $y=\frac{8}{24} x^2$
The equation with the larger fraction will be the parabola that is the narrowest. In this case, it is the $y=\frac{8}{24} x^2$ .
Therefore, $y=\frac{1}{8}x^2$ will have the narrowest graph