Is the following shape a rectangle? How do you know?

Mathematics

1 answer:

daser333 [38]2 years ago

6 0

Answer: It might be a no answer. I don't know which one. I'm so sorry if I'm wrong.

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under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box

Anestetic [448]

Step-by-step explanation:

The equation of line passing through the two points is $\frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}$

When substituted,the equation becomes $\frac{y-6}{x-2}=\frac{18-6}{6-2}$

which when simplified is $y=3\times x$

The line clearly passes through origin.

The distance between two points is $\sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}$

Distance between origin and $(2,6)$ is $\sqrt{40}$ .

Distance between origin and $(6,18)$ is $\sqrt{360}$

Scale factor is $\frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}$

So,scale factor is $\frac{\sqrt{360} }{\sqrt{40} }$

which when simplified becomes 3.

6 0

3 years ago

Find the area of the equilateral triangle whose sides are 4 yd.

suter [353]

Answer:

The first one. 4 times square root of 3.

Step-by-step explanation:

The side of the equilateral triangle that represents the height of the triangle will have a length of because it will be opposite the 60o angle. To calculate the area of the triangle, multiply the base (one side of the equilateral triangle) and the height (the perpendicular bisector) and divide by two.

4 0

3 years ago

Read 2 more answers

Isn’t it just 5? Why would it say check all that apply

LenKa [72]

Answer: $25^\frac{1}{2}$

Step-by-step explanation:

25 = 5*5 or -5 * -5

yes, that is correct. However, you forgot another property of roots. Roots are simply exponential fractions.

$\sqrt[n]{x^m}=x^\frac{m}{n}$

Therefore, $\sqrt{25}$ can also be rewritten as: $25^\frac{1}{2}$ . Notice that it cannot be -25 because that would be a negative square root which will give us an imaginary number.