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3 years ago

8

For the right triangles below, find the exact values of the side lengths and .

1 answer:

konstantin123 [22]3 years ago

5 0

Answer:

$c=\frac{2\sqrt{3}}{3}$

h= $3\sqrt{2}$

Step-by-step explanation:

Please see the attached image. It is a good idea it to memorize these triangle properties because you will definitely use them in the future.

c= $\frac{2}{\sqrt{3} } =\frac{2*\sqrt{3} }{\sqrt{3} *\sqrt{3} } =\frac{2\sqrt{3}}{3}$

h= $3\sqrt{2}$

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Segment FG begins at point F(-2, 4) and ends at point G (-2, -3). Segment FG is translated by (x, y) → (x – 3, y + 2) and then r

Mariana [72]

Answer:

The length of the segment F'G' is 7.

Step-by-step explanation:

From Linear Algebra we define reflection across the y-axis as follows:

$(x',y')=(-x, y)$ , $\forall\, x, y\in \mathbb{R}$ (Eq. 1)

In addition, we get this translation formula from the statement of the problem:

$(x',y') =(x-3,y+2)$ , $\forall \,x,y\in \mathbb{R}$ (Eq. 2)

Where:

$(x, y)$ - Original point, dimensionless.

$(x', y')$ - Transformed point, dimensionless.

If we know that $F(x,y) = (-2, 4)$ and $G(x,y) = (-2,-3)$ , then we proceed to make all needed operations:

Translation

$F''(x,y) = (-2-3,4+2)$

$F''(x,y) = (-5,6)$

$G''(x,y) = (-2-3,-3+2)$

$G''(x,y) = (-5,-1)$

Reflection

$F'(x,y) = (5, 6)$

$G'(x,y) = (5,-1)$

Lastly, we calculate the length of the segment F'G' by Pythagorean Theorem:

$F'G' = \sqrt{(5-5)^{2}+[(-1)-6]^{2}}$

$F'G' = 7$

The length of the segment F'G' is 7.

8 0

3 years ago

Given the sequence below, what is the 9th term? 2, 1, 4, -1, 6, ...

jolli1 [7]

Answer:

The 9th term would be 10.

Step-by-step explanation:

Each of the odd terms is 2 more than the previous. We do not even need to look at the even terms to find the 9th one.

2, odd, 4, odd, 6, odd, 8, odd, 10

8 0

3 years ago

Help me assapppp!!! Pls

mafiozo [28]

Answer:

have you tries adding them together?

5 0

3 years ago

Four times the sum of 8 and some number is 4. What is the number?

Lunna [17]

Answer:

$\Huge \boxed{\mathrm{-7}}$

$\rule[225]{225}{2}$

Step-by-step explanation:

Let the number be x.

$4(x+8)=4$

Dividing both sides by 4,

$x+8=1$

Subtracting 8 from both sides,

$x=-7$

The number is -7.

$\rule[225]{225}{2}$

3 0

3 years ago

Read 2 more answers

The commutative property of addition states that you can change the order of addends in a sum. The associative property of addit

Anna11 [10]

Commutative:
a+b+c=a+c+b
1.3+23.4+3.4=23.4+1.3+3.4

Associative:
(a+b)+c=a+(b+c)

(1.3+3.4)+23.4=1.3+(3.4+23.4)

5 0

3 years ago