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3 years ago

AC = 4, AE = 7, AD = 10, what is the length of AB? PLZ HELP

Mathematics

2 answers:

Paraphin [41]3 years ago

6 0

The length of AB is 13 because it is skipping by 3 and 10+3= 13

algol [13]3 years ago

5 0

The length of AB is 13 because 4,7,10,13.

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soldi70 [24.7K]

Answer:

$\frac{x^2}{169} +\frac{y^2}{25}=1$

If we compare this to the general expression for an ellipse given by:

$\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2}=1$

We can see that the vertex is $V=(0,0)$

And we can find the values of a and b like this:

$a=\sqrt{169}=13, b=\sqrt{25}=5$

in order to find the foci we can find the value of c

$c =\sqrt{169-25}=\sqrt{144}=12$

The two focis are (12,0) and (-12,0)

The convertices for this case are: (13,0) and (-13,0) on the x axis

And for the y axis (0,5) and (0,-5)

Step-by-step explanation:

For this problem we have the following equation given:

$\frac{x^2}{169} +\frac{y^2}{25}=1$

If we compare this to the general expression for an ellipse given by:

$\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2}=1$

We can see that the vertex is $V=(0,0)$

And we can find the values of a and b like this:

$a=\sqrt{169}=13, b=\sqrt{25}=5$

in order to find the foci we can find the value of c

$c =\sqrt{169-25}=\sqrt{144}=12$

The two focis are (12,0) and (-12,0)

The convertices for this case are: (13,0) and (-13,0) on the x axis

And for the y axis (0,5) and (0,-5)

3 0

3 years ago

What is the answer when you simplify it?<img src="https://tex.z-dn.net/?f=7%5E%7B2%7D%20%2B2%28%5Csqrt%7B81%7D%20%2B%5Csqrt%7B49

Vesna [10]

The answer should be 81

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3 years ago

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pav-90 [236]

Answer:

13 1 line

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Step-by-step explanation:

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3 years ago

Prove that a parallelogram is a square iff its diagonals are both congruent and perpendicular

Juliette [100K]

Consider the parallelogram shown below.
The lengths of the sides are a and b.
The lengths of the diagonals are 2x and 2y.

Because the diagonals are both congruent and perpendicular, therefore there are two right triangles as shown.
Note that x = y.
Because x = y, each right triangle is isosceles and has the angles 90°, 45° and 45°.

From the Pythagorean theorem,
For one right triangle,
a² = x² + y² = x² + x² = 2x².
For the other right triangle,
b² = y² + x² = x² + x² = 2x²

Therefore
a² = b²
a = b

It follows that all sides of the parallelogram are equal and each angle is
45+45 = 90°

Therefore the parallelogram is a square.

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3 years ago

In the figure to the right, can you conclude that triangle GHI is congruent to triangle KJI? Justify your reasoning.

inessss [21]

Answer:

Step-by-step explanation:

You cannot conclude that ΔGHI is congruent to ΔKJI, because although you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K), we don't know the side lengths.

All the angles could be congruent, but the sides might be different. For example, ΔGHI might be a bigger triangle than ΔKJI, which could make them similar to one another, but not congruent.

For something to be congruent to another, everything must be exactly the same.

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3 years ago